This study found that, while uninsured children had the highest rate of unmet health care needs, insured children with uninsured parents had higher chances of going without necessary services than did children with insured parents. 

DeVoe, J. E., Tillotson, C. J., Wallace, L. S. (2009). Children’s receipt of health care services and family health insurance patterns. Annals of Family Medicine, 7: 406-413.  DOI: 10.1370/afm.1040 http://www.annfammed.org/cgi/content/abstract/7/5/406 

Authors:  Jennifer E. DeVoe, Carrie J. Tillotson, Lorraine S. Wallace