Nangle, D.W., Erdley, C.A., Newman, J.E., Mason, C.A., and Carpenter, E.M (2003).  Popularity, friendship quantity, and friendship quality: Interactive influences on children’s psychological adjustment.  Journal of Clinical Child and Adolescent Psychology, 32, 546-555.

A mediational model positing that the effects of popularity on children's loneliness and depression are passed through indexes of friendship experiences was tested using structural equations modeling. Children (103 3rd through 6th graders) completed a battery of sociometric and self-report questionnaires from which measures of popularity, multiple friendship dimensions (i.e., quantity and quality of best and good friendships), and loneliness and depression were derived.  Confirmation of a slightly modified model supported the mediational hypothesis.  Although popularity exerted no direct impact on the adjustment indexes, it strongly influenced friendship, which, in turn, affected depression through its strong association with loneliness.  It appears that popularity is important for setting the stage for relationship development, but that it is dyadic friendship experiences that most directly influence feelings of loneliness and depression.