2023‑2024
National Surveys on Drug Use and Health:
Guide to State Tables and Summary of Small Area Estimation Methodology

Section A: Overview of NSDUH and Model‑Based State Estimates

A.1 Introduction

This document provides information on the model‐based small area estimates of substance use and mental health disorders in states based on data from the combined 2023‑2024 National Surveys on Drug Use and Health (NSDUHs). Note that the substance use treatment, mental health treatment, and illicit drug use other than marijuana estimates are based on data from the 2024 NSDUH only because there was no comparable data in 2023 for those measures (see Sections B.11 and B.12.2 for more details). Titles of all tables and maps indicate the years for which the estimates are produced. The combined 2023‑2024 as well as the 2024‑only state small area estimates henceforth will be referred as the 2023‑2024 state estimates. These estimates are available online along with other related information.1

NSDUH is an annual survey of the civilian, noninstitutionalized population aged 12 or older residing within the United States, conducted from January through December, and is sponsored by the Substance Abuse and Mental Health Services Administration (SAMHSA). NSDUH is planned and managed by SAMHSA’s Center for Behavioral Health Statistics and Quality (CBHSQ). Data collection and analysis are conducted under contract with RTI International.2

The 2023 and 2024 NSDUHs used multimode data collection, in which respondents completed the survey via the web or in person. Methodological investigations led to the conclusion that estimates based on multimode data collection since 2021 are not comparable with estimates from 2020 or prior years. Chapter 6 in 2021 National Survey on Drug Use and Health (NSDUH): Methodological Summary and Definitions (CBHSQ, 2022) discusses these methodological investigations in greater detail. Thus, the 2021‑2022, 2022‑2023, and 2023‑2024 small area estimates should not be compared to state estimates from 2020 and prior years. The 2023‑2024 state estimates are comparable with the 2021‑2022 and 2022‑2023 estimates.

A summary of NSDUH’s methodology is given in Section A.2. Section A.3 lists all the tables and files associated with the 2023‑2024 state estimates. Information is given in Section A.4 on the Bayesian confidence intervals and how to make interpretations with respect to the small area estimates. Section A.5 discusses related substance use measures and warns users about not drawing conclusions by subtracting small area estimates from two different measures.

The survey‐weighted hierarchical Bayes (SWHB) small area estimation (SAE) methodology3 used in the production of state estimates from the 1999 to 20234 surveys also was used in the production of the 2023‑2024 state estimates. The SWHB methodology is described in Appendix E of the 2001 state report (Wright, 2003b) and in Folsom and colleagues (1999). A general model description is given in Section B.1 of this document. A list of measures (outcomes) for which small area estimates are produced is given in Section B.2. Predictors used in the 2023‑2024 SAE modeling are listed and described in Section B.3. Selection of predictors for SAE modeling is described in Section B.4.

The SWHB methodology uses survey weights5 in the estimation process; as a result, small area estimates obtained using the SWHB methodology are design consistent (i.e., the small area estimates for states with large sample sizes are close to the robust design‐based estimates). Additionally, the national small area estimates6 are very close to the national design‐based estimates. However, to ensure internal consistency, it is desirable to have the national small area estimates exactly match the national design‐based estimates. This process is called “benchmarking.” The benchmarked state‐level estimates are also potentially less biased than the unbenchmarked state‐level estimates. Beginning in 2002, exact benchmarking was introduced, as described in Section B.5. The census region‐level estimates in the tables are population‐weighted aggregates of the benchmarked state‐level estimates. Tables of the estimated numbers of people associated with each measure are available online,7 and an explanation of how these counts and their respective Bayesian confidence intervals are calculated can be found in Section B.6. Section B.7 discusses the method to compute aggregated estimates by combining two age groups. The definition and explanation of the formula used in estimating the marijuana initiation rate are given in Section B.8.

State estimates for the age groups 12 to 17, 18 to 25, 26 or older, 18 or older, and 12 or older8 are provided for all measures except for any mental illness (AMI), co‐occurring substance use disorder (SUD) and AMI, serious mental illness (SMI), co‐occurring SUD and SMI, receipt of mental health treatment, major depressive episode (MDE), serious thoughts of suicide, suicide plans, and suicide attempts. Additionally, estimates for adolescents aged 12 to 17 are not available for past year heroin use because this outcome was extremely rare among adolescents aged 12 to 17 in the 2023‑2024 NSDUHs. As a result, estimates of past year heroin use for people aged 12 or older are also not produced.

Estimates of underage (aged 12 to 20) alcohol use, binge alcohol use, perceptions of great risk from having five or more drinks of an alcoholic beverage once or twice a week, alcohol use disorder, cigarette use, and tobacco product use were also produced.9 Alcohol consumption is expected to differ significantly across the 18 to 25 age group because of the legalization of alcohol at age 21. Additionally, legislation in December 2019 raised the federal minimum age for sale of tobacco products (along with e‑cigarettes) from 18 to 21 years (U.S. Food and Drug Administration, 2021). All 50 states and the District of Columbia prohibit the sale of tobacco products to people younger than 21. Therefore, it was deemed valuable to produce small area estimates for people aged 12 to 20. A short description of the methodology used to produce estimates of underage outcomes is provided in Section B.9.

The remainder of Section B covers three additional topics:

In Section C, the 2024, and 2023‑2024 combined survey sample sizes, response rates, and population estimates are included in Tables C.1 to C.6.

A.2 Summary of NSDUH Methodology

NSDUH is the primary source of statistical information on the use of tobacco, alcohol, prescription pain relievers, and other substances (e.g., marijuana, cocaine) by the U.S. civilian, noninstitutionalized population aged 12 or older. The survey also includes extensive information on substance use disorders, substance use treatment, mental health conditions, and mental health treatment.

NSDUH has been ongoing since 1971. The survey collects information from residents of households (e.g., individuals living in houses or townhouses, apartments, and condominiums; civilians living in housing on military bases) and individuals in noninstitutional group quarters (e.g., shelters, rooming or boarding houses, college dormitories, halfway houses). Not included are individuals with no fixed household address (e.g., people experiencing homelessness and not in shelters), military personnel on active duty, and residents of institutional group quarters, such as jails and hospitals. People also are excluded during data collection if they cannot complete the survey in either English or Spanish or they are not physically or mentally capable of completing the interview. From 1999 to 2019, the data were collected via face‐to‐face (in‑person) interviews at a respondent’s place of residence using a combination of computer‐assisted personal interviewing conducted by an interviewer and audio computer‐assisted self‐interviewing. Because of the coronavirus disease 2019 (COVID‑19) pandemic, an additional web data collection mode was introduced to the 2020 NSDUH and continued to be used in all later years.

A coordinated sample design was developed for the 2014‑2024 NSDUHs. It is state based, with an independent, multistage area probability sample within each state and the District of Columbia. This design designates 12 states as large sample states. These 12 states have the following target sample sizes per year: 4,560 interviews in California; 3,300 interviews in Florida, New York, and Texas; 2,400 interviews in Illinois, Michigan, Ohio, and Pennsylvania; and 1,500 interviews in Georgia, New Jersey, North Carolina, and Virginia. Making the sample sizes more proportional to the state population sizes improves the precision of national estimates. This change also allows for a more cost‐efficient sample allocation to the largest states while slightly increasing the sample sizes in smaller states to improve the precision of state estimates. The target sample size per year in the small states is 960 interviews, except for Hawaii, where the target sample size is 967 interviews.10 The combined 2023‑2024 fielded sample sizes for each state are provided in Table C.3.

In 2024, NSDUH collected data from about 70,240 respondents aged 12 or older. Nationally in 2023‑2024, a total of approximately 401,990 dwelling units (DUs)11 were screened, and approximately 137,920 people responded within the screened DUs (see Table C.3). The weighted screening response rate (SRR) was 23.13 percent, the weighted interview response rate (IRR) was 51.00 percent, and the overall weighted response rate (ORR) was 11.79 percent (Table C.3). The ORRs ranged from 9.25 percent in Illinois to 18.87 percent in Utah. Estimates reflect the probability of selection, unit nonresponse, poststratification to known census population estimates, item imputation, and other aspects of the estimation process. These procedures are described in detail in 2024 National Survey on Drug Use and Health: Methodological Resource Book (CBHSQ, 2025a).

All sampled DUs are screened to confirm eligibility and to select zero, one, or two members to participate in the survey. The weighted SRR is calculated as the weighted number of successfully screened DUs12 divided by the weighted number of eligible DUs, or

Equation 1. Click link below to access long description. ,

View Equation 1 Long Description

where w sub D U is the inverse of the unconditional probability of selection for the DU and excludes all adjustments for nonresponse and poststratification.

In successfully screened DUs, eligible DU members who were selected were asked to complete the interview. The weighted IRR for NSDUH is calculated as the weighted number of respondents divided by the weighted number of selected people, or

Equation 2. Click link below to access long description.,

View Equation 2 Long Description

where w sub i is the design‐based weight or the inverse of the probability of selection for the ith person and includes DU‑level nonresponse and poststratification adjustments. To be considered a completed interview, a respondent must provide enough data to pass the usable case rule.13

The weighted ORR is defined as the product of the weighted SRR and the weighted IRR or

Equation 3. Click link below to access long description..

View Equation 3 Long Description

For more details on the screening and response rates, see Section 3.3.1 in 2024 National Survey on Drug Use and Health: Methodological Summary and Definitions (CBHSQ, 2025b).

A.3 Presentation of Data

This section lists all products associated with the 2023‑202414 state estimates.

The following products exclude age groups 12 to 17 and 12 or older for past year heroin use because in 2023‑2024, heroin use among adolescents aged 12 to 17 was very rare. In addition to this methodology document for the 2023‑2024 state estimates, the following products are available on the NSDUH State Releases web page:

A.4 Bayesian Confidence Intervals

The total U.S. estimates given in each of the 41 tables are design‐based national estimates along with 95 percent design‐based confidence intervals, all of which are based on the survey design, the survey weights, and the reported data. The state estimates given in the tables are model‐based small area estimates (using SWHB‐SAE methodology) that have been adjusted (benchmarked) such that the population‐weighted mean of the estimates across the 50 states and the District of Columbia equals the design‐based national estimate. For more details on this benchmarking, see Section B.5. The census region‐level estimates are also benchmarked and are obtained by taking the population‐weighted mean of the associated state‐level benchmarked estimates. Associated with each state‑ and census region‐level estimate is a 95 percent Bayesian confidence interval. These intervals indicate the uncertainty in the estimate due to both sampling variability and model fit. For example, the state with the highest estimate of past month use of marijuana for young adults aged 18 to 25 in 2023‑2024 was Maine, with an estimate of 40.1 percent and a 95 percent Bayesian confidence interval that ranged from 34.3 to 46.1 percent (see Table 3 of 2023‑2024 National Surveys on Drug Use and Health: Model‐Based Prevalence Estimates (50 States and the District of Columbia) [CBHSQ, 2025c]). Assuming that sampling and modeling conditions held, the Bayes posterior probability was 0.95 that the true percentage of past month marijuana use in Maine for young adults aged 18 to 25 in 2023‑2024 was between 34.3 and 46.1 percent.

The confidence intervals shown in NSDUH state reports are asymmetric (for details, see Section B.5), meaning that the distance between the estimate and the lower confidence limit will not be the same as the distance between the upper confidence limit and the estimate. For example, Utah’s 2023‑2024 past month marijuana use estimate is 14.6 percent for young adults aged 18 to 25, with a 95 percent Bayesian confidence interval equal to 11.4 to 18.5 percent (see Table 3 of the 2023‑2024 Model‐Based Prevalence Estimates [CBHSQ, 2025c]). Therefore, Utah’s estimate is 3.2 (i.e., 14.6 − 11.4) percentage points from the lower 95 percent confidence limit and 3.9 (i.e., 18.5 − 14.6) percentage points from the upper 95 percent confidence limit. These asymmetric confidence intervals work well for small percentages often found in NSDUH state estimate tables and reports while still being appropriate for larger percentages.

When it is indicated that a state has the highest or lowest estimate, it does not imply that the state’s estimate is significantly higher or lower than the next highest or lowest state’s estimate. Additionally, two significantly different state estimates (at the 5 percent level of significance) may have overlapping 95 percent confidence intervals. For details on a more accurate test to compare state estimates, see 2023‑2024 National Surveys on Drug Use and Health: Comparison of Population Percentages from the United States, Census Regions, States, and the District of Columbia (CBHSQ, forthcoming a).

A.5 Related Measures

State estimates are produced for a number of related measures, such as marijuana use in the past month and illicit drug use in the past month, or SMI and AMI. It might appear that one could draw conclusions by subtracting one from the other (e.g., subtracting the percentage who misused prescription opioids in the past year, from the percentage who misused opioids in the past year to find the percentage who used only heroin in the past year but did not misuse prescription opioids). Because related measures have been estimated separately with different models, subtracting the percentage of one measure from the percentage of another related measure at the state or census region level can give misleading results, perhaps even a “negative” estimate, and should be avoided. Users are advised to view the estimates along with their respective confidence intervals to get a better idea of the range in which the “true” value of the population percentage might fall (see Section A.4 for more details).

However, at the national level (total U.S.), because these estimates are design‐based estimates, such comparisons can be made. For example, at the national level, subtracting estimates for cigarette use in the past month from the estimates of tobacco use in the past month will give the estimate of people who did not use cigarettes in the past month but only used other forms of tobacco, such as cigars, pipes, or smokeless tobacco, in the past month.

Section B: State Model‐Based Estimation Methodology

B.1 General Model Description

The state small area estimation (SAE) model is a complex mixed15 (including both fixed and random effects) logistic regression model of the following form:

Equation 4. Click link below to access long description.,

View Equation 4 Long Description

where pi sub a, i, j, k is the probability of engaging in the behavior of interest (e.g., using marijuana in the past month) for person‑k belonging to age group‑a in grouped state sampling region (SSR)‑j of state‑i.16 Let x sub a, i, j, k denote a p sub a times 1 vector of predictor variables (independent variables or fixed effects) associated with age group‑a (12 to 17, 18 to 25, 26 to 34, and 35 or older) and beta sub a denote the associated vector of the regression parameters. The age group‐specific vectors of the auxiliary variables are defined for every block group in the nation and include person‐level demographic variables, such as race/ethnicity and sex.17 The vectors of state‐level random effects An eta sub i is a transposed vector of values eta sub 1, i and so on until eta sub capital A, i. and grouped SSR-level random effects A nu sub i, j is a vector of transposed values nu sub 1, i, j and so on until nu sub capital A, i, j. are assumed to be mutually independent and normally distributed with mean vector 0 and variance‐covariance matrices matrix capital D sub eta and matrix capital D sub nu, respectively—that is, An eta sub i is normally distributed with mean 0 and variance denoted by matrix capital D sub eta. and A nu sub i, j is normally distributed with mean 0 and variance denoted by matrix capital D sub nu., where Capital A is the total number of individual age groups modeled (generally, Capital A= 4). For hierarchical Bayes (HB) estimation purposes, an improper uniform prior distribution is assumed for beta sub a, and proper Wishart prior distributions are assumed for inverse of capital D sub eta and inverse of capital D sub nu. The HB solution for pi sub a, i, j, k involves a series of complex Markov Chain Monte Carlo (MCMC) steps to generate values of the desired fixed and random effects from the underlying joint posterior distribution. The basic process is described in Folsom and colleagues (1999), Shah and colleagues (2000), and Wright (2003a, 2003b).

Once the required number of MCMC samples (1,250 in all) for the parameters of interest are generated and tested for convergence properties (see Raftery & Lewis, 1992), the small area estimates for each race/ethnicity × sex cell within a block group can be obtained for each age group as described in Wright (2003b). These block group‐level small area estimates then can be aggregated using the appropriate population count projections for the desired age group(s) to form state‐level small area estimates. These state‐level small area estimates are benchmarked to the national design‐based estimates as described in Section B.5.

B.2 Measures (Outcomes) Modeled

The following list contains all binary (0,1) measures for which age group‐specific state estimates were produced. Estimates are generally produced for persons aged 12 to 17, 18 to 25, 26 or older, 18 or older, and 12 or older.

For measures #6, #27 to #29, and #34 listed as follows, only data from the 2024 National Survey on Drug Use and Health (NSDUH) were used, and for all other measures, 2023‑2024 combined NSDUH data were used to produce estimates. The 2022‑2023 and the 2023‑2024 state estimates were also compared for all measures with these exceptions:18 illicit drug use other than marijuana in the past month (#6), prescription opioid misuse in the past year (#13), opioid misuse in the past year (#14), prescription opioid use disorder (#25), opioid use disorder (#26), all substance use treatment measures (#27 to #29), and received mental health treatment measure (#34).

  1. illicit drug use in the past month,
  2. marijuana use in the past year,
  3. marijuana use in the past month,
  4. perceptions of great risk from smoking marijuana once a month,
  5. first use of marijuana in the past year among people at risk for initiation of marijuana use,19
  6. illicit drug use other than marijuana in the past month,
  7. cocaine use in the past year,
  8. perceptions of great risk from using cocaine once a month,
  9. heroin use in the past year,
  10. perceptions of great risk from trying heroin once or twice,
  11. hallucinogen use in the past year,
  12. methamphetamine use in the past year,
  13. prescription opioid misuse in the past year,
  14. opioid misuse in the past year,
  15. alcohol use in the past month,20
  16. binge alcohol use in the past month,20
  17. perceptions of great risk from having five or more drinks of an alcoholic beverage once or twice a week,20
  18. tobacco product use in the past month,20
  19. cigarette use in the past month,20
  20. nicotine vaping in the past month,
  21. perceptions of great risk from smoking one or more packs of cigarettes per day,
  22. substance use disorder (SUD) in the past year,
  23. alcohol use disorder in the past year,20
  24. drug use disorder in the past year,
  25. prescription opioid use disorder in the past year,
  26. opioid use disorder in the past year,
  27. received substance use treatment in the past year,
  28. classified as needing substance use treatment in the past year,
  29. did not receive substance use treatment in the past year among people classified as needing treatment,
  30. any mental illness (AMI) in the past year,
  31. serious mental illness (SMI) in the past year,
  32. co‑occurring SUD and AMI in the past year,
  33. co‑occurring SUD and SMI in the past year,
  34. received mental health treatment in the past year,
  35. major depressive episode (MDE) in the past year,
  36. had serious thoughts of suicide in the past year,
  37. made any suicide plans in the past year, and
  38. attempted suicide in the past year.

B.3 Predictors Used in Mixed Logistic Regression Models

Local area data used as potential predictor variables in the mixed logistic regression models were obtained from the following sources:

Data sources, along with the description of potential predictor variables obtained from each source, are provided in the following lists. The predictor variables used in the SAE models were selected from the set of potential predictors given below using the method described in Section B.4.

Claritas Data (Description) Claritas Data (Level)
% Population Aged 0 to 19 in Block Group Block Group
% Population Aged 20 to 24 in Block Group Block Group
% Population Aged 25 to 34 in Block Group Block Group
% Population Aged 35 to 44 in Block Group Block Group
% Population Aged 45 to 54 in Block Group Block Group
% Population Aged 55 to 64 in Block Group Block Group
% Population Aged 65 or Older in Block Group Block Group
% Non‑Hispanic Blacks in Block Group Block Group
% Hispanics in Block Group Block Group
% Non‑Hispanic Other Races in Block Group Block Group
% Non‑Hispanic Whites in Block Group Block Group
% Males in Block Group Block Group
% American Indians, Eskimos, Aleuts in Tract Tract
% Asians, Pacific Islanders in Tract Tract
% Population Aged 0 to 19 in Tract Tract
% Population Aged 20 to 24 in Tract Tract
% Population Aged 25 to 34 in Tract Tract
% Population Aged 35 to 44 in Tract Tract
% Population Aged 45 to 54 in Tract Tract
% Population Aged 55 to 64 in Tract Tract
% Population Aged 65 or Older in Tract Tract
% Non‑Hispanic Blacks in Tract Tract
% Hispanics in Tract Tract
% Non‑Hispanic Other Races in Tract Tract
% Non‑Hispanic Whites in Tract Tract
% Males in Tract Tract
% Population Aged 0 to 19 in County County
% Population Aged 20 to 24 in County County
% Population Aged 25 to 34 in County County
% Population Aged 35 to 44 in County County
% Population Aged 45 to 54 in County County
% Population Aged 55 to 64 in County County
% Population Aged 65 or Older in County County
% Non‑Hispanic Blacks in County County
% Hispanics in County County
% Non‑Hispanic Other Races in County County
% Non‑Hispanic Whites in County County
% Males in County County
American Community Survey (ACS) (Description) ACS Data (Level)
% Population Who Dropped Out of High School Tract
% Housing Units Built in 1940 to 1949 Tract
% Females 16 Years or Older in Labor Force Tract
% Females Never Married Tract
% Females Separated, Divorced, Widowed, or Other Tract
% One‑Person Households Tract
% Males 16 Years or Older in Labor Force Tract
% Males Never Married Tract
% Males Separated, Divorced, Widowed, or Other Tract
% Housing Units Built in 1939 or Earlier Tract
Average Number of People per Room Tract
% Families below Poverty Level Tract
% Households with Public Assistance Income Tract
% Housing Units Rented Tract
% Population with 9 to 12 Years of School, No High School Diploma Tract
% Population with 0 to 8 Years of School Tract
% Population with Associate’s Degree Tract
% Population with Some College and No Degree Tract
% Population with Bachelor’s, Graduate, Professional Degree Tract
% Housing Units with No Telephone Service Available Tract
% Households with No Vehicle Available Tract
% Population with No Health Insurance Tract
Median Rents for Rental Units Tract
Median Value of Owner‑Occupied Housing Units Tract
Median Household Income Tract
% Families below the Poverty Level County
Uniform Crime Report (UCR) Data (Description) UCR Data (Level)
Drug Possession Arrest Rate County
Drug Sale or Manufacture Arrest Rate County
Drug Violations’ Arrest Rate County
Marijuana Possession Arrest Rate County
Marijuana Sale or Manufacture Arrest Rate County
Opium or Cocaine Possession Arrest Rate County
Opium or Cocaine Sale or Manufacture Arrest Rate County
Other Drug Possession Arrest Rate County
Other Dangerous Non‑Narcotics Arrest Rate County
Serious Crime Arrest Rate County
Violent Crime Arrest Rate County
Driving under Influence Arrest Rate County
Other Categorical Data (Description) Other Categorical Data (Source) Other Categorical Data (Level)
= 1 if Hispanic, = 0 Otherwise National Survey on Drug Use and
Health (NSDUH) Sample
Person
= 1 if Non‑Hispanic Black, = 0 Otherwise NSDUH Sample Person
= 1 if Non‑Hispanic Other, = 0 Otherwise NSDUH Sample Person
= 1 if Male, = 0 if Female NSDUH Sample Person
= 1 if Metropolitan Statistical Area (MSA) with
≥ 1 Million, = 0 Otherwise
2010 Census County
= 1 if MSA with < 1 Million, = 0 Otherwise 2010 Census County
= 1 if Non‑MSA Urban, = 0 Otherwise 2010 Census Tract
= 1 if Urban Area, = 0 if Rural Area 2010 Census Tract
= 1 if No Cubans in Tract, = 0 Otherwise 2010 Census Tract
= 1 if No Arrests for Dangerous Non‑Narcotics,
= 0 Otherwise
Uniform Crime Report (UCR) County
= 1 if No Arrests for Opium or Cocaine Possession,
= 0 Otherwise
UCR County
= 1 if No Housing Units Built in 1939 or Earlier,
= 0 Otherwise
American Community Survey (ACS) Tract
= 1 if No Housing Units Built in 1940 to 1949,
= 0 Otherwise
ACS Tract
= 1 if No Households with Public Assistance Income,
= 0 Otherwise
ACS Tract
Miscellaneous Data (Description) Miscellaneous Data (Source) Miscellaneous Data (Level)
Alcohol Death Rate, Underlying Cause National Center for Health Statistics’ International
Classification of Diseases, 10th revision (NCHS‑
ICD‑10)
County
Cigarette Death Rate, Underlying Cause NCHS‑ICD‑10 County
Drug Death Rate, Underlying Cause NCHS‑ICD‑10 County
Alcohol Treatment Rate National Substance Use and Mental Health Services
Survey (N‑SUMHSS)
County
Alcohol and Drug Treatment Rate N‑SUMHSS County
Drug Treatment Rate N‑SUMHSS County
Unemployment Rate Bureau of Labor Statistics (BLS) County
Per Capita Income (in Thousands) Bureau of Economic Analysis (BEA) County
Average Suicide Rate (per 10,000) NCHS‑ICD‑10 County
Food Stamp Participation Rate Census Bureau County
Single State Agency Maintenance of
Effort
National Association of State Alcohol and Drug Abuse
Directors (NASADAD)
State
Block Grant Awards Substance Abuse and Mental Health Services
Administration (SAMHSA)
State
Cost of Services Factor Index SAMHSA State
Total Taxable Resources per Capita
Index
U.S. Department of Treasury State
% Hispanics Who Are Cuban 2010 Census Tract

B.4 Selection of Predictor Variables for the SAE Models

For the four new measures (#13, #14, #25, #26) described in Section B.2, predictor variable selection was conducted using the 2023‑2024 data. For the five single‐year outcomes (#6, #27, #28, #29, #34), predictor selection was based on 2024 data. For all remaining outcomes, no new variable selection was performed; instead, updated versions of the predictors used in generating the 2022‑2023 state small area estimates were used to produce the 2023‑2024 estimates. A multistep process22 was followed to identify significant predictors. In the selection process based on the combined 2023‑2024 sample, the dataset was partitioned into modeling and validation samples. Steps 1 through 3 were executed on the modeling sample, and step 4 was conducted using the validation sample. For the selection process based solely on the 2024 sample, all four steps were performed on the complete dataset.

  1. For each measure, age group‐specific23 SAS® stepwise logistic regression models were fit (SAS Institute Inc., 2017). The input list to these models included all linear polynomials (constructed from continuous predictor variables) and other categorical or indicator variables given in Section B.3. All significant predictors were input to step 2.
  2. All significant predictors from step 1 then were input to PROC HPSPLIT to identify significant complex (at most three‐way) interaction terms. PROC HPSPLIT is a SAS procedure that uses decision‐tree algorithms to build classification systems. The exhaustive chi‑squared automatic interaction detector algorithm was used to create the trees.
  3. All the significant variables from step 1, along with their corresponding higher‐order polynomials (quadratic and cubic), interaction of sex and race, and the significant interactions detected by PROC HPSPLIT in step 2 then were input to SAS stepwise logistic regression models. All predictors that remained significant then were input to step 4 of variable selection.
  4. All significant variables from step 3 were input to fit SUDAAN (RTI International, 2020) logistic regression models, and predictors that remained significant were used in the SAE models described in Section B.1. The race and sex predictors were forced in most of the models.

B.5 Benchmarking the Age Group‐Specific Small Area Estimates

The self‐calibration built into the survey‐weighted hierarchical Bayes (SWHB) solution ensures the population‐weighted average of the state small area estimates will closely match the national design‐based estimates. The national design‐based estimates in NSDUH are based entirely on survey‐weighted data using a direct estimation approach, whereas the state and census region estimates are model based.

Singh and Folsom (2001) extended Ghosh’s (1992) results on constrained Bayes estimation to include exact benchmarking to design‐based national estimates. In the simplest version of this constrained Bayes solution, where only the design‐based mean is imposed as a benchmarking constraint, each of the 2023‑2024 state‐by‐age group small area estimates is adjusted by adding the common factor Delta sub a is defined as the national design-based estimate, capital D sub a, minus the national model-based small area estimate, capital P sub a., where capital D sub a is the design‐based national estimate and capital P sub a is the population‐weighted mean of the state small area estimates (Capital P sub s and a) for age group‑a. The exactly benchmarked state‑s and age group‑a small area estimates then are given by The benchmarked state-s and age group-a small area estimate, Theta sub s and a, is defined as the sum of capital P sub s and a and Delta sub a.. Experience with such additive adjustments suggests that the resulting exactly benchmarked state small area estimates will always be between 0 and 100 percent because the SWHB self‐calibration ensures that the adjustment factor is small relative to the size of the state‐level small area estimates.

Relative to the Bayes posterior mean, these benchmark‐constrained state small area estimates are biased by the common additive adjustment factor. Therefore, the posterior mean squared error for each benchmarked state small area estimate has the square of this adjustment factor added to its posterior variance. To achieve the desirable feature of exact benchmarking, this constrained Bayes adjustment factor was implemented for the state‐by‐age group small area estimates. The associated Bayesian confidence (credible) intervals can be recentered at the benchmarked small area estimates on the logit scale with the symmetric interval end points based on the posterior root mean squared errors. The adjusted 95 percent Bayesian confidence intervals (Lower sub s and a is the lower bound of the 95 percent Bayesian confidence interval of Theta sub s and a; upper sub s and a is the upper bound of the 95 percent Bayesian confidence interval of Theta sub s and a.) are defined as follows:

Equation 5. Click link below to access long description. ,

View Equation 5 Long Description

where

Equation 6. Click link below to access long description. ,

View Equation 6 Long Description

Equation 7. Click link below to access long description. , and

View Equation 7 Long Description

Equation 8. Click link below to access long description..

View Equation 8 Long Description

The associated posterior coverage probabilities for these benchmarked intervals are very close to the prescribed 0.95 value because the state small area estimates have posterior distributions that can be approximated exceptionally well by a Gaussian distribution after the logit transformation.

B.6 Calculation of Estimated Number of People Associated with Each Outcome

Tables 1 to 41 of 2023‑2024 National Surveys on Drug Use and Health: Model‐Based Estimated Totals (in Thousands) (50 States and the District of Columbia) (CBHSQ, forthcoming b) show the estimated numbers of people associated with each of the 38  measures of interest. To calculate these numbers, the benchmarked small area estimates and associated 95 percent Bayesian confidence intervals are multiplied by the average population across the 2 years (in this case, 2023 and 2024) of the state by the age group of interest (Tables C.1 to C.6 in Section C of this methodology document). For estimates based only on 2024 data, the corresponding 2024 population counts can be used.

For example, alcohol use in the past month among 18‑ to 25‑year‐olds in Alabama was 45.87 percent in 2023‑2024.24 The corresponding Bayesian confidence intervals ranged from 41.39 to 50.42 percent. The population count for 18‑ to 25‑year‐olds averaged across 2023 and 2024 in Alabama was 537,932 (see Table C.4). Hence, the estimated number of 18‑ to 25‑year‐olds using alcohol in the past month in Alabama was 0.4587 × 537,932, which is 246,749.25 The associated Bayesian confidence intervals ranged from 0.4139 × 537,932 (i.e., 222,650) to 0.5042 × 537,932 (i.e., 271,225). Note that when estimates of the number of people are calculated for Tables 1 to 41 in the 2023‑2024 Model‐Based Estimated Totals report (CBHSQ, forthcoming b), the unrounded percentages and population counts are used, then the numbers are reported to the nearest thousand. Hence, the number obtained by multiplying the published estimate with the published population estimate may not exactly match the counts published in these tables because of rounding differences.

The only two exceptions to this calculation are the production of the estimated numbers of marijuana initiates among the population at risk and the estimated number of those not receiving substance use treatment among those classified as needing treatment. Those estimates cannot be directly calculated as the product of the percentage estimate and the population counts available in Section C. That is because the denominator of the marijuana initiation percentage estimate is defined as the number of people at risk for marijuana initiation, which is a combination of people who never used marijuana and one half of the people who initiated in the past 24 months (see Section B.8 for more details). The denominator of those not receiving substance use treatment who were classified as needing treatment percentage estimate is defined as the number of people classified as needing substance use treatment (see Section B.11 for details).

B.7 Calculation of Aggregate Age Group Estimates and Limitations

Tables 1 to 41 of 2023‑2024 National Surveys on Drug Use and Health: Model‐Based Prevalence Estimates (50 States and the District of Columbia) (CBHSQ, 2025c) show estimates for the following age groups: 12 to 17, 18 to 25, 26 or older, 18 or older, and 12 or older. If a user was interested in producing aggregated estimates, such as for those aged 12 to 25, the aggregated estimates could be calculated using prevalence estimates along with the population totals shown in Section C of this document. However, with the information provided in the tables, the confidence intervals cannot be calculated. Below is an example of the calculation of aggregated estimate for a given state.

In 2023‑2024, alcohol use in the past month in Alabama among youths aged 12 to 17 was 6.51 percent, and among young adults aged 18 to 25 it was 45.87 percent.26 The population counts for 12‑ to 17‑year‐olds and 18‑ to 25‑year‐olds averaged across 2023 and 2024 in Alabama were 398,626 and 537,932, respectively (see Table C.4). Hence, one would calculate the estimate for people aged 12 to 25 by first finding the number of users aged 12 to 25, which is 272,700 = ([0.0651 × 398,626] + [0.4587 × 537,932]), then dividing that number by the population aged 12 to 25 (272,700 ∕ [398,626 + 537,932]), which results in a rate of 29.12 percent.

B.8 Calculation of Initiation of Marijuana Use

Initiation27 rates typically are calculated as the number of new initiates of a substance during a period of time (such as in the past year) divided by an estimate of the number of person‐years of exposure (in thousands). The initiation definition used here employs a simpler form of the at‑risk population based on the model‐based methodology. This model‐based initiation rate (i.e., first use of marijuana in the past year among people at risk for initiation of marijuana use) is defined as follows:

Equation 9. Click link below to access long description.,

View Equation 9 Long Description

where capital X sub 1 is the number of marijuana initiates in the past 24 months, capital X sub 2 is the number of people who never used marijuana, and (0.5 × + capital X sub 2) denotes the at‑risk population.

The initiation rate is expressed as a percentage or rate per 100 person‐years of exposure. Note that this estimate uses a 2‑year time period to accumulate initiation cases from the annual survey. By assuming further that the distribution of first use for the initiation cases is uniform across the 2‑year interval, the total number of person‐years of exposure is 1 year on average for the initiation cases plus 2 years for all the “never users” at the end of the time period. This approximation to the person‐years of exposure permits one to recast the initiation rate as a function of two population prevalence rates—namely, the fraction of people who first used marijuana in the past 2 years and the fraction who had never used marijuana. State and census region estimates, along with the 95 percent Bayesian confidence intervals, are based on simultaneous modeling of capital X sub 1 and capital X sub 2 components using the SWHB SAE approach. The associated MCMC chains were used to calculate the posterior variance.

B.9 Underage Estimates

To obtain small area estimates for people aged 12 to 20 for past month alcohol use, binge alcohol use, perceptions of great risk from having five or more drinks of an alcoholic beverage once or twice a week, alcohol use disorder, past month tobacco product use, and past month cigarette use, a separate set of SAE models with predictors selected for the age groups 12 to 17, 18 to 20, 21 to 34, and 35 or older were used. Model‐based estimates for people aged 12 to 20 were produced by taking the population‐weighted average of the individual age group (12 to 17 and 18 to 20) estimates. Estimates for these underage outcomes were benchmarked to match national design‐based estimates for that age group using the process described in Section B.5.

B.10 Substance Use Disorder (SUD)

The NSDUH questionnaire includes questions to measure SUDs for alcohol and drugs. SUD estimates in the 2023 and 2024 NSDUHs were based on the criteria in the Diagnostic and Statistical Manual of Mental Disorders, 5th edition (DSM‑5; American Psychiatric Association [APA], 2013). For information about the SUD definitions based on criteria from DSM‑5, see Section 3.4.7 of CBHSQ (2025b). Respondents were asked SUD questions separately for any drugs or alcohol they used in the 12 months prior to the survey.28 SUD questions for drugs applied to marijuana, cocaine (including crack), heroin, hallucinogens, inhalants, methamphetamine, and any use of prescription pain relievers, tranquilizers, stimulants, or sedatives.

The following lists the substances that are included in selected SUD measures in the 2023‑2024 NSDUH state small area estimates:

B.11 Substance Use Treatment

The substance use treatment questions underwent considerable revisions for the 2022 NSDUH. These questions remained the same for 2023. Revisions for 2022 were intended to reflect contemporary changes in the delivery of substance use treatment services. New follow‑up questions were added to the 2024 NSDUH for respondents who reported that they received treatment in an inpatient or outpatient location, but they did not report any substances for which they received treatment. These respondents were given a second opportunity to specify the substances for which they received inpatient or outpatient treatment or to enter “None” if they did not receive treatment. Starting in June 2024, additional changes were included in the questionnaire to improve respondent understanding of whether they received treatment for their use of alcohol or drugs at specific inpatient or outpatient locations. For information about these changes from 2022 and 2024, see Section 3.4.8 of CBHSQ (2025b).

Because of these changes in 2022, the definition for the receipt of substance use treatment changed beginning in 2022. Receipt of substance use treatment includes the receipt of treatment in the past year for the use of alcohol or drugs in an inpatient location; in an outpatient location; via telehealth; or in a prison, jail, or juvenile detention center. The definition also includes the receipt of medications for alcohol use disorder or medications for opioid use disorder. Analysis of the data from June to December 2024 indicated that the changes implemented in June 2024 not only reduced the number of respondents who did not report the specific substances for which they received inpatient or outpatient treatment but also affected reporting of the receipt of treatment in inpatient and outpatient locations. As a consequence of these changes, substance use treatment estimates overall and for inpatient or outpatient locations from 2024 are not comparable with those from 2022 and 2023. Thus, the state small area estimates for all substance use treatment measures in this report use only the 2024 data.

In 2024, relatively large proportions of people who reported that they received inpatient or outpatient treatment in the past 12 months did not indicate the specific substance(s) for which they received treatment in these locations, including treatment for the use of some other drug. Stated another way, these reports of inpatient or outpatient treatment were not substantiated by reports of treatment for the use of specific substances. Specifically, about one quarter of respondents who reported inpatient treatment in the past year did not report the specific substances for which they received treatment as inpatients. Among respondents who reported outpatient treatment in the past year, about one third did not report the specific substances for which they received treatment as outpatients. A “substance unspecified” category was created for these respondents. If respondents in this “substance unspecified” group did not actually receive substance use treatment, then estimates for any substance use treatment and for inpatient or outpatient substance use treatment could be overestimates. Thus, estimates for the overall substance use treatment measure could be overestimates.

Historically, NSDUH data products have included substance use treatment at a “specialty facility” in the past year as part of the definition for whether people needed substance use treatment. With the changes to the questionnaire in 2022, the term “specialty facility” was dropped from 2022 NSDUH data products. Consequently, the definition of the need for substance use treatment was revised beginning with the 2022 NSDUH. Respondents were classified as needing substance use treatment if they had an SUD in the past year or they received substance use treatment in the past year. The percentage of people not receiving substance use treatment among those classified as needing treatment is defined as follows:

Equation 10. Click link below to access long description.,

View Equation 10 Long Description

where capital X sub 1 is the number of people not receiving treatment who needed treatment, capital X sub 2 is the number of people receiving treatment who needed treatment, and (sum of capital X sub 1 plus capital X sub 2) denotes the number of people who needed treatment. State and census region estimates, along with the 95 percent Bayesian confidence intervals, are based on simultaneous modeling of capital X sub 1 and capital X sub 2 components using the SWHB SAE approach. The associated MCMC chains were used to calculate the posterior variance.

For more information about the substance use treatment outcomes, see Section 3.4.8 of CBHSQ (2025b).

B.12 Mental Health Measures

Sections 3.4.9, 3.4.10, 3.4.12, and 3.4.13 of CBHSQ (2025b) provide a summary of the measurement issues associated with seven mental health outcome variables such as mental illness, mental health treatment, MDE, and suicidal thoughts and behaviors.

B.12.1 Mental Illness

The binary (0, 1) SMI and AMI measures are generated (predicted) by a logistic regression model where parameter estimates from the 2012 model and annually updated associated predictors from NSDUH (i.e., responses to questions in the NSDUH) are used to predict the respondent’s SMI (or AMI) status. The predicted SMI (or AMI) status for all adult NSDUH respondents was used to compute prevalence estimates of SMI (or AMI) nationally as well as at the state level. For details on the 2012 model, see Section 3.4.9.8 of CBHSQ (2025b). Note that starting from 2021, the measures used in the mental illness models were all imputed. Therefore, the source variables (i.e., 2012 model covariate) used to create the measures of AMI and SMI had no missing data.

B.12.2 Mental Health Treatment

The mental health treatment questions underwent considerable revisions for the 2022 NSDUH; these questions remained the same for 2023. Revisions for 2022 were intended to reflect contemporary changes in the delivery of mental health treatment services. The changes also made the content more similar between the alcohol and drug treatment and the mental health services utilization sections of the questionnaire. Starting in June 2024, additional changes were included in the questionnaire to improve respondent understanding of whether they received treatment for their mental health, emotions, or behavior at specific inpatient or outpatient locations. For information about these changes see Section 3.4.10 of CBHSQ (2025b).

Because of these changes, the definition for the receipt of mental health treatment changed again in 2024, and estimates from 2022 and 2023 were not considered comparable to estimates from 2024. Thus, the state small area estimates for mental health treatment in this report use only the 2024 data. Receipt of mental health treatment includes the receipt of treatment in the past year to help people with their mental health, emotions, or behavior that was received in an inpatient location; in an outpatient location; via telehealth; or in a prison, jail, or juvenile detention center. The definition also includes the receipt of prescription medication to help with mental health, emotions, or behavior.

B.12.3 Major Depressive Episode (MDE)

Two sections related to MDE were included in the NSDUH questionnaires: an adult depression section and an adolescent depression section. These sections were originally derived from Diagnostic and Statistical Manual of Mental Disorders, 4th edition criteria for MDE and remained applicable to the more recent DSM‑5 criteria (APA, 1994; 2013). Consistent with the DSM‑5 criteria, NSDUH does not exclude MDEs occurring exclusively in the context of bereavement. In addition, no exclusions were made for MDEs caused by medication, alcohol, illicit drugs, or any medical illness. For information about the differences in the adult and adolescent depression questions, see Section 3.4.12 of CBHSQ (2025b).

According to DSM‑5, people are classified as having had an MDE29 in their lifetime if they had at least five or more of the following symptoms nearly every day (except where noted) in the same 2‑week period, where at least one of the symptoms is a depressed mood or loss of interest or pleasure in daily activities: (1) depressed mood most of the day; (2) markedly diminished interest or pleasure in all or almost all activities most of the day; (3) significant weight loss when not sick or dieting, or weight gain when not pregnant or growing, or decrease or increase in appetite; (4) insomnia or hypersomnia; (5) psychomotor agitation or retardation at a level observable by others; (6) fatigue or loss of energy; (7) feelings of worthlessness or excessive or inappropriate guilt; (8) diminished ability to think or concentrate or indecisiveness; and (9) recurrent thoughts of death or suicidality (i.e., recurrent suicidal ideation without a specific plan, making a specific plan, or making an attempt). Unlike the other symptoms listed previously, recurrent thoughts of death or suicidality did not need to have occurred nearly every day (APA, 2013).

Respondents who have had an MDE in their lifetime are asked if, during the past 12 months, they had a period of depression lasting 2 weeks or longer while also having some of the other symptoms mentioned. Respondents reporting experiences consistent with them having had an MDE in the past year are asked questions from the Sheehan Disability Scale to measure the level of functional impairment in major life activities reported to be caused by the MDE in the past 12 months (Leon et al., 1997).

B.12.4 Suicidal Thoughts and Behavior

The 2023 and 2024 NSDUHs included sets of questions asking adults aged 18 or older whether they had serious thoughts of suicide, made any suicide plans, or had attempted suicide in the past 12 months. All adult respondents were asked whether they made a suicide plan or attempted suicide regardless of whether they reported that they had serious thoughts of suicide in the past 12 months. The two response options were “yes” and “no.” Additionally, beginning in 2021, the adult variables for suicidal thoughts and behaviors among adults were statistically imputed.

Additionally, the 2023 and 2024 NSDUHs included sets of questions that asked youths aged 12 to 17 about the same suicidal thoughts and behaviors. Unlike the questions for adults, the questions about suicidal thoughts and behavior among youths included response choices for “I’m not sure” and “I don’t want to answer,” in addition to standard response choices of “yes” and “no.”

Estimates for suicidal thoughts and behavior among adolescents in national reports and tables for 2024 included estimates for “I’m not sure,” and “I don’t want to answer,” in addition to estimates for “yes” and “no.” Measures for suicidal thoughts and behavior among adolescents were not statistically imputed for 2023 or 2024. For the 2023‑2024 state small area estimates, estimates for suicidal behaviors reflect the percentage that answered “yes” among all respondents. Respondents who answered “no,” “I’m not sure,” and “I don’t want to answer” were grouped together as the “no” category. Thus the 2023‑2024 state small area estimates for suicidal behaviors among adolescents may be underestimated.

Section C: Sample Sizes, Response Rates, and Population Estimates

Table C.1 – Survey Sample Sizes (Rounded to the Nearest 10), Weighted Screening, Interview, and Overall Response Rates, and Population Estimates: Among People Aged 12 or Older; by State, 2024
State Total
Selected DUs
Total
Eligible DUs
Total
Completed Screeners
Weighted DU Screening Response Rate Total
Selected People
Total
Responded
Population Estimate Weighted Interview Response Rate Weighted Overall Response Rate
Total U.S. 1,009,120 927,670 203,740 21.91% 137,170 70,240 288,242,414 51.54% 11.29%
Northeast 220,740 202,390 38,120 17.38% 24,840 12,330 49,736,465 51.97% 9.03%
Midwest 228,340 209,340 48,590 23.71% 32,590 16,660 58,915,850 51.66% 12.25%
South 333,440 306,400 68,810 22.37% 44,900 23,670 111,503,073 52.85% 11.82%
West 226,600 209,540 48,220 22.81% 34,850 17,580 68,087,027 48.94% 11.17%
Alabama 13,150 11,870 4,060 34.08% 2,650 1,250 4,342,535 43.74% 14.91%
Alaska 14,200 12,270 2,470 19.38% 1,730 1,000 596,369 61.38% 11.90%
Arizona 15,910 14,300 2,770 19.33% 1,920 1,050 6,464,937 53.89% 10.41%
Arkansas 11,380 10,100 2,950 28.95% 2,100 1,110 2,583,068 55.20% 15.98%
California 60,940 58,760 11,520 19.10% 9,320 4,520 33,609,216 47.31% 9.04%
Colorado 16,050 14,060 3,120 21.71% 2,010 990 5,088,114 52.90% 11.48%
Connecticut 16,620 15,690 2,830 18.04% 1,640 840 3,170,815 51.51% 9.29%
Delaware 21,090 18,960 3,790 19.73% 2,320 1,100 900,979 48.16% 9.50%
District of Columbia 27,220 26,150 4,340 16.82% 1,680 990 601,286 59.44% 10.00%
Florida 51,790 47,600 9,150 18.76% 5,770 3,020 20,125,830 52.10% 9.77%
Georgia 15,800 15,220 3,250 21.31% 2,590 1,440 9,366,743 50.40% 10.74%
Hawaii 14,860 13,290 2,750 18.31% 2,010 1,010 1,201,541 52.92% 9.69%
Idaho 12,420 11,750 3,520 29.50% 2,500 1,200 1,679,787 44.19% 13.04%
Illinois 46,020 42,900 7,860 18.43% 5,810 2,850 10,824,415 47.97% 8.84%
Indiana 12,680 11,330 2,550 22.63% 1,910 1,040 5,806,630 57.93% 13.11%
Iowa 12,250 11,220 3,240 28.76% 1,960 1,030 2,726,107 53.36% 15.35%
Kansas 11,080 9,860 2,720 27.06% 2,120 1,210 2,466,635 57.60% 15.59%
Kentucky 13,680 12,270 3,240 26.42% 1,960 1,100 3,838,403 58.93% 15.57%
Louisiana 11,560 10,510 2,870 27.37% 1,980 990 3,809,848 48.32% 13.23%
Maine 17,670 14,950 2,970 19.41% 1,710 850 1,231,861 54.01% 10.49%
Maryland 13,390 12,870 2,830 22.05% 2,040 940 5,288,076 45.39% 10.01%
Massachusetts 16,000 14,960 2,380 15.64% 1,610 850 6,199,693 54.42% 8.51%
Michigan 33,920 31,000 7,280 23.47% 4,420 2,350 8,682,638 53.17% 12.48%
Minnesota 13,460 12,610 3,130 24.65% 2,020 990 4,897,993 50.22% 12.38%
Mississippi 11,930 10,650 3,290 31.11% 2,430 1,240 2,456,199 51.30% 15.96%
Missouri 13,110 11,890 3,040 25.88% 1,870 980 5,264,916 55.67% 14.41%
Montana 16,430 14,300 2,760 19.16% 1,720 850 972,702 53.77% 10.30%
Nebraska 10,820 9,970 2,600 26.11% 1,990 970 1,663,408 50.52% 13.19%
Nevada 13,240 12,680 3,090 24.04% 2,310 1,250 2,789,623 51.00% 12.26%
New Hampshire 15,180 13,920 3,070 21.88% 1,930 870 1,236,224 48.70% 10.66%
New Jersey 22,720 21,500 4,150 19.38% 3,130 1,540 8,088,286 49.98% 9.69%
New Mexico 13,650 12,380 2,530 19.82% 1,690 920 1,814,102 55.74% 11.05%
New York 57,160 52,760 8,920 16.21% 6,570 3,180 17,065,141 51.21% 8.30%
North Carolina 24,670 22,840 5,030 21.89% 2,920 1,580 9,318,149 52.12% 11.41%
North Dakota 14,530 12,560 2,320 17.60% 1,490 820 655,040 56.16% 9.89%
Ohio 33,440 32,010 7,850 24.51% 5,160 2,450 10,055,897 46.27% 11.34%
Oklahoma 11,930 10,600 2,820 26.52% 1,950 1,060 3,389,090 57.98% 15.38%
Oregon 13,830 13,360 4,090 30.36% 2,480 1,260 3,705,202 49.17% 14.93%
Pennsylvania 39,290 36,210 6,290 17.10% 4,090 2,040 11,207,828 53.26% 9.11%
Rhode Island 17,930 16,210 3,800 22.50% 2,310 1,160 964,200 50.90% 11.45%
South Carolina 14,930 13,450 2,850 21.03% 1,750 920 4,646,890 50.60% 10.64%
South Dakota 12,500 10,820 2,340 21.45% 1,670 860 761,752 57.17% 12.27%
Tennessee 12,910 12,310 3,340 27.25% 2,140 1,000 6,101,746 40.37% 11.00%
Texas 36,990 33,500 6,460 18.93% 5,360 3,130 25,825,060 59.91% 11.34%
Utah 8,480 7,770 2,950 37.57% 2,910 1,460 2,886,299 49.72% 18.68%
Vermont 18,160 16,210 3,720 22.73% 1,860 1,000 572,417 57.21% 13.00%
Virginia 22,220 20,700 5,080 24.59% 3,270 1,730 7,391,540 52.88% 13.00%
Washington 12,870 12,250 4,190 34.02% 2,750 1,210 6,780,788 44.30% 15.07%
West Virginia 18,790 16,800 3,470 20.35% 1,990 1,080 1,517,630 52.85% 10.76%
Wisconsin 14,540 13,170 3,660 27.32% 2,170 1,110 5,110,418 52.61% 14.37%
Wyoming 13,710 12,360 2,470 20.25% 1,520 860 498,347 57.75% 11.69%

DU = dwelling unit.

Source: SAMHSA, Center for Behavioral Health Statistics and Quality, National Survey on Drug Use and Health, 2024.

Table C.2 – Survey Sample Sizes (Rounded to the Nearest 10), Weighted Interview Response Rates, and Population Estimates; by State and Three Age Groups, 2024
State 12‑17
Total Selected People
12‑17
Total Responded
12‑17
Population Estimate
12‑17
Weighted Interview Response Rate
18‑25
Total Selected People
18‑25
Total Responded
18‑25
Population Estimate
18‑25
Weighted Interview Response Rate
26+
Total Selected People
26+
Total Responded
26+
Population Estimate
26+
Weighted Interview Response Rate
Total U.S. 31,210 14,010 25,951,528 45.34% 34,280 16,840 34,946,088 47.87% 71,680 39,390 227,344,798 52.82%
Northeast 5,210 2,140 4,079,347 38.02% 6,220 2,940 5,907,727 46.54% 13,410 7,250 39,749,391 54.23%
Midwest 7,420 3,130 5,409,796 42.39% 8,390 4,090 7,289,788 45.98% 16,770 9,440 46,216,266 53.66%
South 10,790 5,130 10,324,523 49.19% 10,900 5,590 13,507,939 51.34% 23,210 12,950 87,670,611 53.51%
West 7,790 3,610 6,137,862 46.33% 8,760 4,220 8,240,635 44.71% 18,290 9,750 53,708,531 49.90%
Alabama 620 280 398,517 45.41% 680 320 542,365 43.48% 1,350 660 3,401,653 43.60%
Alaska 460 220 59,683 49.05% 400 220 66,922 57.49% 880 560 469,764 63.48%
Arizona 440 220 572,152 50.08% 460 240 807,983 49.44% 1,020 590 5,084,803 55.08%
Arkansas 490 230 247,998 48.46% 550 270 322,683 49.05% 1,060 610 2,012,387 57.11%
California 2,040 950 3,037,565 46.38% 2,170 1,020 4,070,916 45.04% 5,110 2,550 26,500,736 47.76%
Colorado 510 210 433,271 39.91% 460 200 615,297 40.08% 1,040 580 4,039,546 56.39%
Connecticut 390 170 264,452 38.71% 330 160 386,997 47.61% 920 510 2,519,366 53.51%
Delaware 630 260 75,936 42.05% 490 200 99,412 37.33% 1,200 630 725,631 50.35%
District of Columbia 450 250 38,140 53.58% 420 230 82,333 52.53% 810 520 480,813 61.11%
Florida 1,360 660 1,584,726 52.25% 1,270 660 2,124,639 52.26% 3,140 1,700 16,416,464 52.06%
Georgia 520 290 917,123 55.69% 740 430 1,167,786 51.89% 1,320 730 7,281,835 49.49%
Hawaii 410 180 98,316 41.49% 500 270 117,786 55.06% 1,100 560 985,439 53.78%
Idaho 620 290 170,977 48.62% 680 300 221,670 39.76% 1,200 610 1,287,140 44.35%
Illinois 1,270 460 978,635 36.79% 1,560 740 1,318,827 44.11% 2,970 1,650 8,526,953 49.89%
Indiana 420 200 559,624 45.16% 510 270 753,710 54.36% 970 560 4,493,296 60.09%
Iowa 470 210 257,997 42.70% 430 210 364,705 45.61% 1,060 610 2,103,405 55.95%
Kansas 470 230 248,739 43.96% 620 350 333,407 52.33% 1,030 630 1,884,489 60.44%
Kentucky 510 250 358,063 47.78% 460 240 464,896 49.55% 990 610 3,015,444 61.56%
Louisiana 470 210 369,659 46.90% 430 220 466,005 49.09% 1,080 560 2,974,184 48.37%
Maine 340 120 90,215 36.18% 400 170 127,049 41.44% 980 560 1,014,597 56.86%
Maryland 520 220 484,740 45.26% 520 220 597,365 40.72% 1,000 500 4,205,970 46.11%
Massachusetts 260 100 482,424 34.94% 420 230 801,541 50.54% 930 530 4,915,728 56.75%
Michigan 1,170 540 753,603 46.78% 900 460 1,054,688 49.06% 2,360 1,360 6,874,347 54.51%
Minnesota 510 220 461,389 42.34% 440 190 583,897 39.47% 1,060 580 3,852,706 52.71%
Mississippi 560 250 243,240 43.92% 630 320 314,725 52.83% 1,240 670 1,898,234 51.98%
Missouri 420 170 484,462 41.53% 470 240 637,914 50.45% 980 570 4,142,541 58.06%
Montana 400 140 83,570 30.43% 520 250 114,362 44.08% 800 460 774,770 57.47%
Nebraska 480 190 169,102 35.24% 460 220 222,738 49.88% 1,040 550 1,271,569 52.79%
Nevada 490 270 246,797 56.02% 560 290 296,260 45.29% 1,250 700 2,246,566 51.18%
New Hampshire 370 130 91,691 34.81% 470 180 134,741 36.61% 1,100 560 1,009,793 51.49%
New Jersey 790 390 719,748 48.26% 820 390 911,696 46.99% 1,520 760 6,456,842 50.58%
New Mexico 330 150 166,679 49.85% 500 270 222,726 52.86% 860 500 1,424,697 56.96%
New York 1,330 530 1,380,089 35.19% 1,660 820 2,029,055 46.01% 3,590 1,830 13,655,996 53.70%
North Carolina 740 350 831,157 47.27% 610 330 1,138,495 50.96% 1,570 900 7,348,496 52.85%
North Dakota 290 100 61,700 32.27% 370 200 97,751 51.13% 840 510 495,589 59.94%
Ohio 1,120 460 907,614 42.99% 1,480 640 1,194,336 38.24% 2,560 1,350 7,953,947 47.90%
Oklahoma 430 210 341,857 44.43% 460 250 444,636 53.67% 1,060 600 2,602,597 60.35%
Oregon 530 260 302,166 48.32% 750 350 415,612 43.93% 1,200 650 2,987,424 50.00%
Pennsylvania 890 330 936,520 35.45% 1,120 530 1,322,889 46.08% 2,080 1,180 8,948,419 56.33%
Rhode Island 490 230 72,230 46.16% 530 240 123,427 42.50% 1,290 690 768,544 52.77%
South Carolina 430 180 410,899 40.67% 480 260 542,890 51.66% 850 480 3,693,102 51.55%
South Dakota 390 150 76,033 38.02% 470 230 95,078 46.34% 810 480 590,641 61.82%
Tennessee 510 220 551,423 41.44% 630 290 726,839 43.05% 1,000 480 4,823,484 39.83%
Texas 1,170 630 2,683,813 50.81% 1,240 710 3,411,644 57.70% 2,940 1,790 19,729,603 61.53%
Utah 630 310 339,661 50.60% 700 310 472,732 42.62% 1,570 830 2,073,906 51.09%
Vermont 360 140 41,979 41.85% 490 240 70,332 48.41% 1,010 620 460,106 59.94%
Virginia 830 420 660,688 52.65% 830 400 886,986 47.81% 1,610 910 5,843,866 53.74%
Washington 610 250 579,757 41.20% 670 280 758,580 38.62% 1,470 680 5,442,451 45.48%
West Virginia 530 230 126,543 48.68% 470 240 174,241 42.52% 1,000 620 1,216,847 54.77%
Wisconsin 410 200 450,899 47.24% 680 320 632,736 45.47% 1,080 590 4,026,783 54.37%
Wyoming 330 150 47,268 40.17% 390 230 59,789 56.89% 800 480 391,290 60.03%

NOTE: Computations in this table are based on a respondent’s age at screening. Thus, the data in the Total Responded column(s) could differ from data in other NSDUH tables that use the respondent’s age recorded during the interview.

Source: SAMHSA, Center for Behavioral Health Statistics and Quality, National Survey on Drug Use and Health, 2024.

Table C.3 – Survey Sample Sizes (Rounded to the Nearest 10), Weighted Screening, Interview, and Overall Response Rates, and Population Estimates: Among People Aged 12 or Older; by State, 2023‑2024
State Total
Selected DUs
Total
Eligible DUs
Total
Completed Screeners
Weighted DU Screening Response Rate Total
Selected People
Total
Responded
Population Estimate Weighted Interview Response Rate Weighted Overall Response Rate
Total U.S. 1,883,890 1,732,640 401,990 23.13% 272,910 137,920 285,849,971 51.00% 11.79%
Northeast 406,650 374,090 77,970 19.56% 51,240 25,330 49,358,983 52.21% 10.21%
Midwest 428,970 392,680 95,620 25.03% 64,270 32,270 58,581,912 51.41% 12.87%
South 623,830 572,210 134,870 23.42% 88,610 45,910 110,374,023 51.76% 12.12%
West 424,450 393,660 93,530 23.54% 68,790 34,410 67,535,054 48.52% 11.42%
Alabama 24,520 21,800 7,870 36.04% 5,130 2,410 4,320,317 45.17% 16.28%
Alaska 26,030 22,820 4,870 21.52% 3,440 1,980 592,344 61.18% 13.17%
Arizona 29,330 26,360 5,440 20.26% 4,020 2,170 6,394,372 52.11% 10.56%
Arkansas 21,430 18,870 5,670 29.70% 4,180 2,150 2,571,998 52.60% 15.62%
California 113,360 109,260 22,630 20.09% 18,930 9,080 33,372,048 47.10% 9.46%
Colorado 30,250 27,070 6,620 23.93% 4,340 2,040 5,050,370 49.09% 11.75%
Connecticut 31,500 29,670 5,830 19.58% 3,490 1,810 3,146,054 54.46% 10.66%
Delaware 38,500 35,220 7,460 21.34% 4,660 2,120 891,760 47.27% 10.09%
District of Columbia 45,170 42,890 7,950 19.04% 3,100 1,840 590,811 58.61% 11.16%
Florida 96,270 89,340 18,850 20.17% 12,110 6,120 19,798,601 49.94% 10.07%
Georgia 30,800 29,460 6,880 23.42% 5,450 3,010 9,294,029 49.85% 11.68%
Hawaii 28,030 25,480 5,560 19.29% 4,170 2,020 1,195,576 51.32% 9.90%
Idaho 23,340 21,940 7,010 31.91% 4,960 2,380 1,662,165 44.83% 14.31%
Illinois 83,450 77,460 14,810 19.38% 11,130 5,240 10,747,069 47.75% 9.25%
Indiana 23,980 21,450 5,130 24.23% 3,770 2,050 5,776,946 57.05% 13.82%
Iowa 24,030 21,860 6,180 28.34% 3,920 2,020 2,710,393 53.07% 15.04%
Kansas 21,480 19,440 5,280 26.75% 4,070 2,110 2,450,944 52.87% 14.14%
Kentucky 25,830 22,930 6,330 27.85% 3,870 2,110 3,810,452 57.24% 15.94%
Louisiana 21,890 19,470 5,640 29.43% 3,920 1,920 3,798,399 48.07% 14.15%
Maine 32,290 27,650 6,500 22.12% 3,800 1,880 1,226,672 53.36% 11.80%
Maryland 25,960 24,910 5,320 21.58% 3,750 1,780 5,250,034 46.67% 10.07%
Massachusetts 30,750 28,920 5,090 17.10% 3,390 1,780 6,140,727 55.29% 9.46%
Michigan 62,520 56,860 14,750 25.93% 8,910 4,740 8,632,840 54.53% 14.14%
Minnesota 25,770 24,290 6,410 26.20% 4,040 1,930 4,869,717 48.24% 12.64%
Mississippi 21,830 19,470 6,200 31.75% 4,550 2,240 2,449,691 48.06% 15.26%
Missouri 25,020 22,420 5,820 26.24% 3,580 1,960 5,241,120 57.67% 15.13%
Montana 31,370 27,260 5,450 19.07% 3,280 1,680 969,374 56.06% 10.69%
Nebraska 19,810 18,340 5,150 27.79% 3,940 1,980 1,651,161 51.89% 14.42%
Nevada 24,580 23,300 5,720 24.16% 4,410 2,420 2,754,394 52.03% 12.57%
New Hampshire 28,180 26,090 6,690 25.58% 4,220 1,910 1,232,273 48.37% 12.37%
New Jersey 43,350 40,890 8,460 20.88% 6,350 3,080 7,999,644 50.44% 10.53%
New Mexico 26,100 23,870 5,420 21.78% 3,610 1,940 1,805,570 55.75% 12.14%
New York 99,780 92,520 18,120 19.35% 13,450 6,570 16,932,347 51.08% 9.88%
North Carolina 47,440 43,460 8,840 20.48% 5,050 2,770 9,223,104 52.14% 10.68%
North Dakota 28,610 24,730 4,590 17.61% 3,090 1,600 649,125 53.84% 9.48%
Ohio 62,840 60,220 15,880 26.29% 10,400 4,880 10,008,349 45.58% 11.98%
Oklahoma 23,020 20,450 5,660 27.21% 3,970 2,080 3,368,237 55.82% 15.19%
Oregon 26,250 25,350 7,470 29.47% 4,580 2,270 3,686,290 48.46% 14.28%
Pennsylvania 74,710 69,050 13,030 18.89% 8,360 4,170 11,152,947 52.94% 10.00%
Rhode Island 33,800 30,200 6,680 21.57% 4,170 2,070 956,976 52.81% 11.39%
South Carolina 29,640 26,620 5,290 19.80% 3,210 1,670 4,598,656 51.02% 10.10%
South Dakota 24,540 21,210 4,570 21.08% 3,230 1,660 758,583 56.41% 11.89%
Tennessee 24,570 23,250 6,820 29.41% 4,260 1,940 6,058,560 41.50% 12.21%
Texas 70,330 63,820 12,800 19.79% 10,680 6,060 25,486,596 57.32% 11.34%
Utah 15,720 14,420 5,290 36.19% 5,230 2,630 2,843,992 52.14% 18.87%
Vermont 32,290 29,100 7,580 25.72% 4,010 2,050 571,343 55.02% 14.15%
Virginia 41,330 38,600 10,890 28.42% 7,050 3,760 7,346,469 52.90% 15.03%
Washington 23,770 22,620 7,690 33.73% 5,120 2,280 6,712,556 44.15% 14.89%
West Virginia 35,310 31,660 6,400 19.79% 3,670 1,930 1,516,309 54.65% 10.82%
Wisconsin 26,930 24,410 7,060 28.77% 4,200 2,110 5,085,664 52.60% 15.13%
Wyoming 26,310 23,910 4,370 17.88% 2,720 1,520 496,002 57.77% 10.33%

DU = dwelling unit.

NOTE: To compute the pooled 2023‑2024 weighted response rates, two samples were combined, and the individual year weights were used for the pooled sample. Thus, the response rates presented here are weighted across 2 years of data rather than being a simple average of the 2023 and 2024 individual response rates. The 2023‑2024 population estimate is the average of the 2023 and the 2024 population.

Source: SAMHSA, Center for Behavioral Health Statistics and Quality, National Surveys on Drug Use and Health, 2023‑2024.

Table C.4 – Survey Sample Sizes (Rounded to the Nearest 10), Weighted Interview Response Rates, and Population Estimates; by State and Three Age Groups, 2023‑2024
State 12‑17
Total Selected People
12‑17
Total Responded
12‑17
Population Estimate
12‑17
Weighted Interview Response Rate
18‑25
Total Selected People
18‑25
Total Responded
18‑25
Population Estimate
18‑25
Weighted Interview Response Rate
26+
Total Selected People
26+
Total Responded
26+
Population Estimate
26+
Weighted Interview Response Rate
Total U.S. 62,570 28,320 25,933,359 45.71% 68,590 33,120 34,489,617 47.29% 141,750 76,480 225,426,995 52.19%
Northeast 11,070 4,730 4,073,572 41.28% 12,810 5,950 5,826,861 45.94% 27,360 14,650 39,458,551 54.28%
Midwest 14,610 6,170 5,420,572 42.16% 16,690 8,020 7,213,399 46.40% 32,960 18,090 45,947,940 53.30%
South 21,470 10,210 10,295,701 48.74% 21,530 10,820 13,312,565 50.00% 45,610 24,880 86,765,756 52.39%
West 15,420 7,210 6,143,514 46.71% 17,560 8,340 8,136,792 44.53% 35,810 18,860 53,254,748 49.34%
Alabama 1,190 530 398,626 45.76% 1,350 620 537,932 44.13% 2,590 1,260 3,383,759 45.27%
Alaska 840 410 59,423 50.02% 850 480 65,955 57.79% 1,740 1,080 466,966 63.03%
Arizona 940 490 572,404 50.99% 1,060 550 795,272 50.11% 2,020 1,130 5,026,697 52.56%
Arkansas 990 470 248,916 46.65% 1,110 540 320,462 47.27% 2,080 1,150 2,002,621 54.19%
California 4,200 1,980 3,041,649 46.63% 4,520 2,100 4,023,981 44.41% 10,200 5,000 26,306,417 47.56%
Colorado 1,070 450 434,982 39.40% 960 420 609,741 39.84% 2,300 1,170 4,005,647 51.57%
Connecticut 820 350 265,073 39.15% 730 360 380,326 47.38% 1,940 1,110 2,500,655 57.23%
Delaware 1,200 460 75,680 38.71% 1,070 440 97,758 37.66% 2,390 1,220 718,321 49.54%
District of Columbia 840 460 37,188 52.90% 760 410 81,044 50.71% 1,510 970 472,579 60.43%
Florida 2,930 1,420 1,566,827 50.05% 2,660 1,310 2,077,549 48.66% 6,520 3,390 16,154,225 50.09%
Georgia 1,150 630 918,542 54.06% 1,550 860 1,156,809 49.88% 2,750 1,520 7,218,678 49.28%
Hawaii 900 390 97,800 44.18% 1,040 520 116,838 49.21% 2,230 1,110 980,939 52.26%
Idaho 1,230 580 171,108 48.92% 1,380 600 218,353 40.87% 2,360 1,200 1,272,704 44.92%
Illinois 2,490 910 981,877 35.71% 2,940 1,320 1,298,075 43.14% 5,700 3,010 8,467,117 49.86%
Indiana 820 390 560,810 45.36% 1,070 570 747,005 53.08% 1,880 1,090 4,469,130 59.19%
Iowa 960 430 258,750 44.00% 950 470 360,269 46.97% 2,010 1,120 2,091,374 55.26%
Kansas 860 390 248,576 42.73% 1,220 620 329,253 49.01% 1,990 1,100 1,873,114 54.97%
Kentucky 1,000 460 357,257 43.60% 960 520 458,337 51.72% 1,910 1,140 2,994,858 59.59%
Louisiana 930 420 370,116 45.58% 810 390 461,928 45.80% 2,180 1,100 2,966,355 48.72%
Maine 820 320 90,601 35.83% 900 390 125,911 42.66% 2,080 1,170 1,010,161 56.18%
Maryland 980 420 482,919 46.37% 930 420 588,343 42.24% 1,830 940 4,178,771 47.37%
Massachusetts 580 240 481,430 37.37% 890 460 785,889 49.63% 1,920 1,080 4,873,408 57.82%
Michigan 2,290 1,070 754,988 47.33% 1,920 980 1,046,278 50.10% 4,700 2,700 6,831,574 56.01%
Minnesota 950 400 461,388 38.75% 980 420 577,363 39.32% 2,110 1,110 3,830,966 50.79%
Mississippi 1,080 470 245,247 42.90% 1,110 550 312,344 50.60% 2,370 1,210 1,892,100 48.28%
Missouri 880 410 485,519 45.77% 850 450 633,648 54.30% 1,850 1,100 4,121,953 59.56%
Montana 750 270 83,910 31.10% 940 450 114,082 46.54% 1,590 970 771,382 60.19%
Nebraska 920 400 168,484 41.15% 870 420 219,109 48.08% 2,140 1,160 1,263,568 54.00%
Nevada 920 520 246,297 56.67% 1,110 580 291,891 48.91% 2,380 1,330 2,216,206 51.92%
New Hampshire 870 340 92,334 37.33% 990 400 134,712 37.74% 2,360 1,180 1,005,227 50.75%
New Jersey 1,630 780 716,470 45.75% 1,640 790 893,517 48.87% 3,090 1,510 6,389,658 51.19%
New Mexico 690 340 167,536 51.97% 1,100 570 220,419 49.04% 1,810 1,040 1,417,616 57.27%
New York 2,760 1,220 1,376,309 42.05% 3,400 1,600 2,002,935 44.64% 7,280 3,750 13,553,103 52.98%
North Carolina 1,270 620 830,918 48.30% 1,110 600 1,119,500 49.31% 2,670 1,550 7,272,686 53.02%
North Dakota 620 210 61,395 34.44% 790 420 96,152 49.37% 1,690 970 491,579 57.03%
Ohio 2,290 920 909,574 41.62% 2,870 1,270 1,185,645 41.01% 5,240 2,690 7,913,131 46.72%
Oklahoma 990 480 341,346 44.01% 960 480 440,784 51.50% 2,020 1,120 2,586,107 58.12%
Oregon 1,000 450 302,681 43.46% 1,350 610 411,216 42.42% 2,230 1,210 2,972,394 49.86%
Pennsylvania 1,850 760 936,838 40.03% 2,240 1,040 1,311,144 44.87% 4,270 2,370 8,904,965 55.57%
Rhode Island 930 410 72,323 43.25% 990 440 122,065 43.00% 2,260 1,220 762,589 55.30%
South Carolina 800 340 410,711 40.91% 830 420 535,279 47.56% 1,580 910 3,652,666 52.79%
South Dakota 740 290 76,147 38.54% 910 450 94,444 48.11% 1,590 930 587,992 60.38%
Tennessee 1,010 410 551,075 38.67% 1,170 550 719,430 43.22% 2,080 980 4,788,055 41.56%
Texas 2,300 1,230 2,672,664 51.89% 2,530 1,420 3,351,517 56.33% 5,850 3,410 19,462,415 58.24%
Utah 1,120 570 339,331 51.48% 1,300 580 462,349 43.34% 2,810 1,490 2,042,312 54.12%
Vermont 820 320 42,195 40.75% 1,040 470 70,363 42.62% 2,160 1,270 458,785 58.16%
Virginia 1,850 980 660,643 54.05% 1,680 830 879,942 49.94% 3,520 1,950 5,805,884 53.23%
Washington 1,140 490 578,723 43.71% 1,270 520 747,678 40.01% 2,710 1,270 5,386,156 44.79%
West Virginia 980 430 127,026 45.86% 930 460 173,607 43.92% 1,760 1,050 1,215,677 57.07%
Wisconsin 790 370 453,065 45.02% 1,340 620 626,158 44.33% 2,070 1,120 4,006,442 54.82%
Wyoming 610 280 47,672 40.62% 680 370 59,018 53.74% 1,440 870 389,312 60.53%

NOTE: Computations in this table are based on a respondent’s age at screening. Thus, the data in the Total Responded column(s) could differ from data in other NSDUH tables that use the respondent’s age recorded during the interview.

NOTE: To compute the pooled 2023‑2024 weighted response rates, two samples were combined, and the individual year weights were used for the pooled sample. Thus, the response rates presented here are weighted across 2 years of data rather than being a simple average of the 2023 and 2024 individual response rates. The 2023‑2024 population estimate is the average of the 2023 and the 2024 population.

Source: SAMHSA, Center for Behavioral Health Statistics and Quality, National Surveys on Drug Use and Health, 2023‑2024.

Table C.5 – Survey Sample Sizes (Rounded to the Nearest 10), Weighted Interview Response Rates, and Population Estimates: Among People Aged 12 to 20; by State, 2023 and 2024
State 2024
Total Selected People
2024
Total Responded
2024
Population Estimate
2024
Weighted Interview Response Rate
2023‑2024
Total Selected People
2023‑2024
Total Responded
2023‑2024
Population Estimate
2023‑2024
Weighted Interview Response Rate
Total U.S. 43,270 19,990 38,514,798 46.38% 86,500 39,940 38,288,717 46.36%
Northeast 7,290 3,090 6,076,991 40.46% 15,380 6,680 6,047,220 42.11%
Midwest 10,420 4,570 8,147,040 43.58% 20,460 8,940 8,122,444 43.57%
South 14,680 7,180 15,188,559 50.15% 29,030 14,050 14,980,766 49.31%
West 10,880 5,150 9,102,207 46.48% 21,630 10,270 9,138,286 46.72%
Alabama 870 400 583,755 44.81% 1,690 770 599,498 45.97%
Alaska 590 290 78,162 49.88% 1,130 560 82,118 51.29%
Arizona 590 300 827,477 49.72% 1,300 680 858,237 50.54%
Arkansas 700 330 351,245 46.18% 1,400 660 352,281 45.58%
California 2,830 1,330 4,409,159 46.37% 5,820 2,780 4,465,866 46.69%
Colorado 680 290 655,934 40.56% 1,420 610 667,165 39.32%
Connecticut 500 210 370,853 40.66% 1,070 460 394,029 40.87%
Delaware 820 340 115,460 41.65% 1,610 620 115,088 38.89%
District of Columbia 540 290 58,071 54.30% 1,000 540 55,229 52.88%
Florida 1,820 910 2,359,166 52.54% 3,890 1,920 2,350,395 50.49%
Georgia 790 440 1,268,637 54.34% 1,660 920 1,294,268 52.99%
Hawaii 610 290 143,472 46.31% 1,300 590 143,765 47.08%
Idaho 840 400 253,758 48.58% 1,700 810 263,227 48.73%
Illinois 1,840 710 1,419,719 37.78% 3,530 1,350 1,438,017 36.96%
Indiana 610 290 825,734 47.31% 1,180 560 809,019 47.49%
Iowa 640 300 417,150 44.37% 1,330 610 415,161 45.28%
Kansas 670 340 356,874 45.74% 1,260 590 356,784 43.92%
Kentucky 670 330 543,465 49.45% 1,340 640 529,200 46.60%
Louisiana 650 310 593,833 49.98% 1,250 590 568,895 47.42%
Maine 480 170 136,319 37.68% 1,140 460 137,798 38.25%
Maryland 740 310 741,902 43.56% 1,340 570 701,054 45.01%
Massachusetts 380 170 808,149 41.90% 830 370 739,622 40.45%
Michigan 1,480 710 1,164,909 49.29% 2,950 1,420 1,144,774 49.59%
Minnesota 670 290 690,641 42.92% 1,300 550 701,679 39.97%
Mississippi 820 400 368,235 49.28% 1,510 710 363,362 46.89%
Missouri 590 260 725,748 45.82% 1,180 570 718,403 49.33%
Montana 580 220 129,938 34.28% 1,080 410 125,826 35.36%
Nebraska 650 270 245,622 38.85% 1,220 540 243,194 42.64%
Nevada 690 370 358,665 53.39% 1,310 730 361,892 55.85%
New Hampshire 530 200 135,746 36.11% 1,180 460 131,526 37.28%
New Jersey 1,080 530 985,354 47.33% 2,220 1,070 1,014,178 46.18%
New Mexico 510 260 275,342 52.68% 1,110 550 263,979 51.66%
New York 1,850 770 2,055,333 38.21% 3,870 1,740 2,056,714 42.43%
North Carolina 940 460 1,221,879 48.20% 1,650 820 1,192,518 47.77%
North Dakota 410 160 97,148 38.45% 890 350 95,153 38.40%
Ohio 1,660 690 1,358,421 41.58% 3,320 1,380 1,367,540 41.61%
Oklahoma 580 290 478,990 46.51% 1,310 640 468,983 44.26%
Oregon 800 400 477,347 48.48% 1,500 690 460,148 43.81%
Pennsylvania 1,280 510 1,413,401 38.07% 2,620 1,090 1,400,176 40.62%
Rhode Island 670 310 109,441 46.00% 1,280 560 111,446 42.94%
South Carolina 590 280 594,155 46.84% 1,080 490 601,487 44.80%
South Dakota 560 240 104,997 40.38% 1,030 430 103,621 40.64%
Tennessee 740 340 799,577 43.64% 1,410 610 783,213 40.93%
Texas 1,600 880 3,891,112 52.82% 3,170 1,720 3,817,605 52.97%
Utah 860 430 496,307 50.52% 1,530 760 482,064 51.03%
Vermont 530 220 62,395 40.70% 1,170 470 61,729 40.33%
Virginia 1,120 570 1,023,859 51.83% 2,430 1,270 995,830 52.91%
Washington 840 350 927,651 41.31% 1,570 680 893,696 43.26%
West Virginia 700 320 195,219 48.19% 1,300 590 191,861 46.61%
Wisconsin 660 310 740,076 45.65% 1,280 590 729,099 44.69%
Wyoming 470 230 68,996 45.49% 860 420 70,303 45.13%

NOTE: Computations in this table are based on a respondent’s age at screening. Thus, the data in the Total Responded column(s) could differ from data in other NSDUH tables that use the respondent’s age recorded during the interview.

NOTE: To compute the pooled 2023‑2024 weighted response rates, two samples were combined, and the individual year weights were used for the pooled sample. Thus, the response rates presented here are weighted across 2 years of data rather than being a simple average of the 2023 and 2024 individual response rates. The 2023‑2024 population estimate is the average of the 2023 population and the 2024 population.

Source: SAMHSA, Center for Behavioral Health Statistics and Quality, National Surveys on Drug Use and Health, 2023 and 2024.

Table C.6 – Survey Sample Sizes (Rounded to the Nearest 10), Weighted Interview Response Rates, and Population Estimates: Among People Aged 18 or Older; by State, 2023 and 2024
State 2024
Total Selected People
2024
Total Responded
2024
Population Estimate
2024
Weighted Interview Response Rate
2023‑2024
Total Selected People
2023‑2024
Total Responded
2023‑2024
Population Estimate
2023‑2024
Weighted Interview Response Rate
Total U.S. 105,960 56,230 262,290,886 52.15% 210,340 109,600 259,916,612 51.53%
Northeast 19,630 10,190 45,657,117 53.22% 40,170 20,600 45,285,411 53.20%
Midwest 25,170 13,530 53,506,054 52.61% 49,650 26,100 53,161,339 52.35%
South 34,110 18,540 101,178,550 53.22% 67,150 35,700 100,078,322 52.07%
West 27,050 13,970 61,949,165 49.21% 53,370 27,200 61,391,539 48.70%
Alabama 2,030 980 3,944,018 43.58% 3,940 1,880 3,921,691 45.11%
Alaska 1,270 780 536,686 62.75% 2,590 1,570 532,922 62.41%
Arizona 1,480 830 5,892,785 54.28% 3,080 1,680 5,821,968 52.22%
Arkansas 1,610 880 2,335,070 55.94% 3,190 1,690 2,323,083 53.24%
California 7,280 3,560 30,571,651 47.40% 14,730 7,100 30,330,398 47.15%
Colorado 1,500 770 4,654,843 54.14% 3,260 1,590 4,615,388 50.01%
Connecticut 1,250 680 2,906,364 52.67% 2,670 1,470 2,880,981 55.88%
Delaware 1,690 840 825,043 48.71% 3,460 1,660 816,079 48.06%
District of Columbia 1,230 750 563,146 59.83% 2,260 1,380 553,623 58.98%
Florida 4,410 2,360 18,541,104 52.08% 9,180 4,700 18,231,774 49.93%
Georgia 2,060 1,160 8,449,621 49.82% 4,300 2,380 8,375,487 49.37%
Hawaii 1,600 830 1,103,225 53.92% 3,270 1,630 1,097,777 51.94%
Idaho 1,880 910 1,508,810 43.69% 3,730 1,800 1,491,057 44.33%
Illinois 4,540 2,390 9,845,780 49.09% 8,640 4,330 9,765,192 48.96%
Indiana 1,490 840 5,247,006 59.24% 2,950 1,670 5,216,136 58.28%
Iowa 1,490 820 2,468,110 54.46% 2,960 1,590 2,451,643 54.04%
Kansas 1,660 980 2,217,896 59.21% 3,200 1,720 2,202,368 54.06%
Kentucky 1,450 850 3,480,340 60.01% 2,880 1,660 3,453,195 58.59%
Louisiana 1,510 780 3,440,189 48.48% 2,990 1,500 3,428,283 48.33%
Maine 1,380 730 1,141,646 55.32% 2,990 1,560 1,136,072 54.74%
Maryland 1,520 720 4,803,336 45.41% 2,770 1,360 4,767,114 46.70%
Massachusetts 1,350 750 5,717,268 55.93% 2,800 1,540 5,659,297 56.72%
Michigan 3,250 1,820 7,929,035 53.79% 6,630 3,670 7,877,852 55.23%
Minnesota 1,510 770 4,436,604 51.02% 3,090 1,540 4,408,329 49.27%
Mississippi 1,870 990 2,212,959 52.10% 3,480 1,770 2,204,444 48.62%
Missouri 1,460 810 4,780,455 57.08% 2,690 1,550 4,755,601 58.86%
Montana 1,320 720 889,132 55.87% 2,530 1,410 885,464 58.41%
Nebraska 1,500 780 1,494,306 52.35% 3,020 1,580 1,482,678 53.12%
Nevada 1,810 990 2,542,826 50.50% 3,480 1,900 2,508,097 51.58%
New Hampshire 1,560 740 1,144,533 49.83% 3,350 1,580 1,139,939 49.28%
New Jersey 2,340 1,160 7,368,539 50.14% 4,730 2,310 7,283,174 50.90%
New Mexico 1,360 770 1,647,423 56.39% 2,920 1,610 1,638,035 56.15%
New York 5,250 2,650 15,685,051 52.67% 10,690 5,350 15,556,038 51.90%
North Carolina 2,180 1,230 8,486,992 52.60% 3,780 2,150 8,392,186 52.52%
North Dakota 1,210 720 593,340 58.51% 2,470 1,390 587,731 55.78%
Ohio 4,040 1,990 9,148,283 46.60% 8,110 3,960 9,098,775 45.97%
Oklahoma 1,520 850 3,047,232 59.39% 2,980 1,610 3,026,891 57.13%
Oregon 1,950 1,000 3,403,036 49.25% 3,580 1,820 3,383,609 48.94%
Pennsylvania 3,200 1,710 10,271,307 54.97% 6,510 3,410 10,216,109 54.16%
Rhode Island 1,820 930 891,971 51.28% 3,250 1,660 884,654 53.58%
South Carolina 1,320 740 4,235,991 51.56% 2,410 1,330 4,187,945 52.07%
South Dakota 1,280 710 685,719 59.45% 2,490 1,380 682,436 58.57%
Tennessee 1,620 770 5,550,323 40.26% 3,250 1,530 5,507,485 41.79%
Texas 4,180 2,500 23,141,247 60.96% 8,380 4,830 22,813,932 57.95%
Utah 2,270 1,150 2,546,638 49.61% 4,100 2,070 2,504,661 52.22%
Vermont 1,500 850 530,438 58.46% 3,190 1,740 529,148 56.14%
Virginia 2,440 1,310 6,730,852 52.90% 5,200 2,780 6,685,826 52.78%
Washington 2,150 960 6,201,031 44.61% 3,980 1,790 6,133,833 44.19%
West Virginia 1,470 850 1,391,088 53.22% 2,690 1,510 1,389,284 55.43%
Wisconsin 1,760 920 4,659,518 53.16% 3,410 1,750 4,632,599 53.36%
Wyoming 1,190 710 451,079 59.61% 2,110 1,240 448,330 59.61%

NOTE: Computations in this table are based on a respondent’s age at screening. Thus, the data in the Total Responded column(s) could differ from data in other NSDUH tables that use the respondent’s age recorded during the interview.

NOTE: To compute the pooled 2023‑2024 weighted response rates, two samples were combined, and the individual year weights were used for the pooled sample. Thus, the response rates presented here are weighted across 2 years of data rather than being a simple average of the 2023 and 2024 individual response rates. The 2023‑2024 population estimate is the average of the 2023 population and the 2024 population.

Source: SAMHSA, Center for Behavioral Health Statistics and Quality, National Surveys on Drug Use and Health, 2023 and 2024.

Section D: References

American Psychiatric Association. (1994). Diagnostic and statistical manual of mental disorders (DSM‑IV) (4th ed.).

American Psychiatric Association. (2013). Diagnostic and statistical manual of mental disorders (DSM‑5) (5th ed.). https://doi.org/10.1176/appi.books.9780890425787 You are leaving a SAMHSA funded site and entering a non-federal Web site.

Center for Behavioral Health Statistics and Quality. (2022). 2021 National Survey on Drug Use and Health: Methodological summary and definitions. Substance Abuse and Mental Health Administration. https://www.samhsa.gov/data/report/2021‐methodological‐summary‐and‐definitions

Center for Behavioral Health Statistics and Quality. (2025a). 2024 National Survey on Drug Use and Health: Methodological resource book. Substance Abuse and Mental Health Administration. https://www.samhsa.gov/data/report/nsduh‐2024‐methodological‐resource‐book‐mrb

Center for Behavioral Health Statistics and Quality. (2025b). 2024 National Survey on Drug Use and Health: Methodological summary and definitions. Substance Abuse and Mental Health Services Administration. https://www.samhsa.gov/data/report/2024‐methodological‐summary‐and‐definitions

Center for Behavioral Health Statistics and Quality. (2025c). 2023‑2024 National Surveys on Drug Use and Health: Model‐based prevalence estimates (50 states and the District of Columbia). Substance Abuse and Mental Health Administration. https://www.samhsa.gov/data/data‐we‐collect/nsduh‐national‐survey‐drug‐use‐and‐health

Center for Behavioral Health Statistics and Quality. (forthcoming a). 2023‑2024 National Surveys on Drug Use and Health: Comparison of population percentages from the United States, census regions, states, and the District of Columbia. Substance Abuse and Mental Health Services Administration.

Center for Behavioral Health Statistics and Quality. (forthcoming b). 2023‑2024 National Surveys on Drug Use and Health: Model‐based estimated totals (in thousands) (50 states and the District of Columbia). Substance Abuse and Mental Health Services Administration.

Folsom, R. E., Shah, B., & Vaish, A. (1999). Substance abuse in states: A methodological report on model‐based estimates from the 1994‑1996 National Household Surveys on Drug Abuse. In Proceedings of the 1999 Joint Statistical Meetings, American Statistical Association, Survey Research Methods Section, Baltimore, MD (pp. 371‑375). American Statistical Association.

Ghosh, M. (1992). Constrained Bayes estimation with applications. Journal of the American Statistical Association, 87(418), 533‑540. https://doi.org/10.2307/2290287 You are leaving a SAMHSA funded site and entering a non-federal Web site.

Leon, A. C., Olfson, M., Portera, L., Farber, L., & Sheehan, D. V. (1997). Assessing psychiatric impairment in primary care with the Sheehan Disability Scale. International Journal of Psychiatry in Medicine, 27(2), 93‑105. https://doi.org/10.2190/t8em‐c8yh‐373n‐1uwd You are leaving a SAMHSA funded site and entering a non-federal Web site.

Raftery, A. E., & Lewis, S. (1992). How many iterations in the Gibbs sampler? In J. M. Bernardo, J. O. Berger, A. P. Dawid, & A. F. M. Smith (Eds.), Bayesian statistics 4 (pp. 763‑774). Oxford University Press.

Rao, J. N. K. (2003). Small area estimation (Wiley Series in Survey Methodology) (1st ed.). John Wiley & Sons.

RTI International. (2020). SUDAAN® language manual, release 11.0.4.

SAS Institute Inc. (2017). SAS/STAT software: Release 14.1.

Shah, B. V., Barnwell, B. G., Folsom, R., & Vaish, A. (2000). Design consistent small area estimates using Gibbs algorithm for logistic models. In Proceedings of the 2000 Joint Statistical Meetings, American Statistical Association, Survey Research Methods Section, Indianapolis, IN (pp. 105‑111). American Statistical Association.

Singh, A. C., & Folsom, R. E. (2001, April 11‑14). Hierarchical Bayes calibrated domain estimation via Metropolis‐Hastings Step in MCMC with application to small areas. Presented at the International Conference on Small Area Estimation and Related Topics, Potomac, MD.

U.S. Food and Drug Administration. (2021). Rules, regulations and guidance. https://www.fda.gov/tobacco‐products/products‐guidance‐regulations/rules‐regulations‐and‐guidance.

Wright, D. (2003a). State estimates of substance use from the 2001 National Household Survey on Drug Abuse: Volume I. Findings (HHS Publication No. SMA 03‑3775, NHSDA Series H‑19). Substance Abuse and Mental Health Services Administration, Office of Applied Studies.

Wright, D. (2003b). State estimates of substance use from the 2001 National Household Survey on Drug Abuse: Volume II. Individual state tables and technical appendices (HHS Publication No. SMA 03‑3826, NHSDA Series H‑20). Substance Abuse and Mental Health Services Administration, Office of Applied Studies.

Section E: List of Contributors

This National Survey on Drug Use and Health (NSDUH) document was prepared by the Substance Abuse and Mental Health Services Administration (SAMHSA), Center for Behavioral Health Statistics and Quality (CBHSQ), and by RTI International. Work by RTI was performed under contract number 75S20322C00001. Carlos Graham served as contracting officer representative, and David Hunter served as RTI project director.

This document was drafted by RTI and reviewed at SAMHSA. Significant contributors at RTI included Akhil Vaish, Kathy Spagnola, and Neeraja Sathe. Other contributors to and/or reviewers at RTI include (in alphabetical order) Justine Allpress, Jessica Burch, Teresa Davis, Margaret Johnson, Peilan Martin, Amber McDonald, Teresa Mink, and Haby Sow.

Endnotes

1 Estimates can be found on the NSDUH State Releases web page.

2 RTI International is a trade name of Research Triangle Institute. RTI and the RTI logo are U.S. registered trademarks of Research Triangle Institute.

3 The methodology and associated procedures were reviewed and approved by panels of SAE experts in 1999, 2000, and 2024. The 1999 and 2000 panels included Dr. William Bell (U.S. Census Bureau), Professor Partha Lahiri (University of Maryland, College Park), Professor Balgobin Nandram (Worcester Polytechnic Institute), Mr. Wesley Schaible (formerly Associate Commissioner for Research and Evaluation, Bureau of Labor Statistics), Professor Emeritus J.N.K. Rao (Carleton University), and Professor Alan Zaslavsky (Harvard University). The 2024 panel included Professor Partha Lahiri (University of Maryland, College Park), Professor Gauri Datta (University of Georgia), Dr. Andreea Erciulescu (Westat), and Professor Emily Berg (Iowa State).

4 The 2019‑2020 state small area estimates were produced, but they have since been removed from SAMHSA’s website. Methodological investigations found that the unusual societal circumstances in 2020 and the resulting methodological revisions to NSDUH data collection have affected the comparability of 2020 estimates with estimates from 2019 and earlier. Consequently, estimates that involve combining data from 2020 with previous years have been removed from the SAMHSA website. 

5 The general approach used to develop survey weights is described in the 2024 National Survey on Drug Use and Health (NSDUH): Methodological Summary and Definitions report.

6 National small area estimates = Population‐weighted averages of state‐level small area estimates.

7 See Tables 1 to 41 in 2023‑2024 National Surveys on Drug Use and Health: Model‐Based Estimated Totals (in Thousands) (50 States and the District of Columbia) (CBHSQ, forthcoming b).

8 For major depressive episode, receipt of mental health treatment, serious thoughts of suicide, suicide plans, and suicide attempts, estimates for people aged 12 or older are not included. For any mental illness (AMI), co‑occurring substance use disorder (SUD) and AMI, serious mental illness (SMI), and co‑occurring SUD and SMI, estimates for adolescents aged 12 to 17 and people aged 12 or older are not included because adolescents are not asked questions about mental illness.

9 Binge drinking is defined as having five or more drinks (for males) or four or more drinks (for females) on the same occasion on at least 1 day in the 30 days prior to the survey.

10 For Hawaii, the sample was designed to yield a minimum of 200 completed interviews in Kauai County, Hawaii, over a 3‑year period. To achieve this goal while maintaining precision at the state level, the annual sample in Hawaii consists of 67 completed interviews in Kauai County and 900 completed interviews in the remainder of the state, for a total of 967 completed interviews each year.

11 A DU in NSDUH refers to either a housing unit or a group quarter listing unit, such as a dormitory room or a shelter bed.

12 A successfully screened DU is one in which all screening questionnaire items were answered by an adult resident of the DU and either zero, one, or two DU members were selected for the NSDUH interview.

13 The usable case rule requires that a respondent answer “yes” or “no” to the question on lifetime use of cigarettes and “yes” or “no” to at least nine additional lifetime use questions.

14 For some outcomes, only 2024 NSDUH data was used to produce the estimates. See Section B.2 for more information.

15 The use of mixed models (fixed and random effects) allows additional error components (random effects) to be included. These account for differences between states and within‐state variations that are not taken into account by the predictor variables (fixed effects) alone. It is also difficult (if not impossible) to produce valid mean squared errors (MSEs) for small area estimates based solely on a fixed‐effect national regression model (i.e., synthetic estimation) (Rao, 2003, p. 52). The mixed models produce estimates that are approximately represented by a weighted combination of the direct estimate from the state data and a regression estimate from the national model. The regression coefficients of the national model are estimated using data from all of the states (i.e., borrowing strength), and the regression estimate for a particular state is obtained by applying the national model to the state‐specific predictor data. The regression estimate for the state is then combined with the direct estimate from the state data in a weighted combination where the weights are obtained by minimizing the MSE (variance + squared bias) of the small area estimate.

16 To increase the precision of the estimated random effects at the within‐state level, three SSRs from the 2023 and 2024 samples were grouped together to form 250 grouped SSRs. California had 12 grouped SSRs; Florida, New York, and Texas each had 10 grouped SSRs; Illinois, Michigan, Ohio, and Pennsylvania each had 8 grouped SSRs; Georgia, New Jersey, North Carolina, and Virginia each had 5 grouped SSRs; and the rest of the states and the District of Columbia each had 4 grouped SSRs.

17 Per Executive Order 14168, the term “gender” was replaced with “sex“ in this report. Therefore, in some cases, the term may not reflect the wording used in the questionnaire itself.

18 In these cases, comparable 2022‑2023 state estimates are not available.

19 For details on how this outcome is calculated, see Section B.8 of this document.

20 Estimates for underage (aged 12 to 20) substance use were also produced.

21 Claritas You are leaving a SAMHSA funded site and entering a non-federal Web site. is a market research firm headquartered in Cincinnati, Ohio.

22 Depending on the step, measure, and age group, significance levels were 1, 3, 5, or 10 percent.

23 Generally, age groups are 12 to 17, 18 to 25, 26 to 34, and 35 or older. For underage alcohol and tobacco related outcomes, the age group is 12 to 20.

24 See Table 15 in 2023‑2024 National Surveys of Drug Use and Health: Model‐Based Prevalence Estimates (50 States and the District of Columbia) (CBHSQ, 2025c).

25 See Table 15 in the 2023‑2024 Model‐Based Estimated Totals report (CBHSQ, forthcoming b).

26 See Table 15 in the 2023‑2024 Model‐Based Prevalence Estimates report (CBHSQ, 2025c).

27 In NSDUH SAE documents prior to 2016‑2017, the term “initiation” was referred to as “incidence.”

28 NSDUH respondents were asked the respective questions for alcohol use disorder or marijuana use disorder if they reported use of these substances on 6 or more days in the past year. Respondents were asked SUD questions for other substances if they reported any use in the past year.

29 “An MDE” refers to the occurrence of at least one MDE, rather than only one MDE. Similarly, reference to “the MDE” in a given period (e.g., the past 12 months) does not mean an individual had only one MDE in that period.

Long Descriptions—Equations

Long description, Equation 1. Capital S R R is equal to the ratio of two quantities. The numerator is the summation of the product of w sub d u and complete sub d u. The denominator is the summation of the product of w sub d u and eligible sub d u.

Long description end. Return to Equation 1.

Long description, Equation 2. Capital I R R is equal to the ratio of two quantities. The numerator is the summation of the product of w sub i and complete sub i. The denominator is the summation of the product of w sub i and selected sub i.

Long description end. Return to Equation 2.

Long description, Equation 3. Capital O R R is equal to the product of capital S R R and capital I R R.

Long description end. Return to Equation 3.

Long description, Equation 4. The model is given by the following equation: log of pi sub a, i, j, k divided by 1 minus pi sub a, i, j, k is equal to the sum of three terms. The first term is given by x transpose sub a, i, j, k times beta sub a. The second term is eta sub a, i. And the third term is nu sub a, i, j.

Long description end. Return to Equation 4.

Long description, Equation 5. Lower sub s and a is defined as the exponent of capital L sub s and a divided by the sum of 1 and the exponent of capital L sub s and a. And upper sub s and a is defined as the exponent of capital U sub s and a divided by the sum of 1 and the exponent of capital U sub s and a.

Long description end. Return to Equation 5.

Long description, Equation 6. Capital L sub s and a is defined as the difference of two quantities. The first quantity is the natural logarithm of the ratio of Theta sub s and a and 1 minus Theta sub s and a. The second quantity is the product of 1.96 and the square root of MSE sub s and a, which is the mean squared error for state‑s and age group‑a.

Long description end. Return to Equation 6.

Long description, Equation 7. Capital U sub s and a is defined as the sum of two quantities. The first quantity is the natural logarithm of the ratio of Theta sub s and a and 1 minus Theta sub s and a. The second quantity is the product of 1.96 and the square root of MSE sub s and a, which is the mean squared error for state‑s and age group‑a.

Long description end. Return to Equation 7.

Long description, Equation 8. The mean squared error, MSE sub s and a, is defined as the sum of two quantities. The first quantity is the square of the difference of two parts. Part 1 is defined as the natural logarithm of the ratio of capital P sub s and a and 1 minus capital P sub s and a. Part 2 is defined as the natural logarithm of the ratio of Theta sub s and a and 1 minus Theta sub s and a. The second quantity is the posterior variance of the natural logarithm of the ratio of capital P sub s and a and 1 minus capital P sub s and a.

Long description end. Return to Equation 8.

Long description, Equation 9. The average annual rate is defined as 100 times quantity q divided by 2. Quantity q is defined as capital X sub 1 divided by the sum of 0.5 times capital X sub 1 plus capital X sub 2.

Long description end. Return to Equation 9.

Long description, Equation 10. The average annual rate is defined as 100 times quantity q. Quantity q is defined as capital X sub 1 divided by the sum of capital X sub 1 plus capital X sub 2.

Long description end. Return to Equation 10.

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