Underdispersion in multilevel logistic regression
Hi folks, I'm doing some multilevel logistic models with lmer() and I noticed that the estimated scale in my model (see code & results below) suggests the presence of under-dispersion. Are there any guidelines on when the scale is sufficiently far from 1 that one should conclude that underdispersion (or overdispersion) is serious enough to warrant switching from family = binomial(logit) to family = quasibinomial(logit)?
model.17f <- lmer(formula = EventTV ~ Period + OR1pc + OR1flyer + OR2pctv
+ + OR2flyertv + Spanish_Version + MUDwell + 0 + + (1 | ClusterID) + (1 | SurveyID), + data=RS05.Round1A, family = binomial(logit), method="Laplace")
summary(model.17f)
Generalized linear mixed model fit using Laplace Formula: EventTV ~ Period + OR1pc + OR1flyer + OR2pctv + OR2flyertv + Spanish_Version + MUDwell + 0 + (1 | ClusterID) + (1 | SurveyID) Data: RS05.Round1A Family: binomial(logit link) AIC BIC logLik deviance 5324 5578 -2631 5262 Random effects: Groups Name Variance Std.Dev. SurveyID 1.4455e+00 1.2023e+00 ClusterID 5.0000e-10 2.2361e-05 number of obs: 27460, groups: SurveyID, 1787; ClusterID, 52 Estimated scale (compare to 1 ) 0.6785013 Steven J. Pierce, M.S. Doctoral Student in Ecological/Community Psychology Department of Psychology Michigan State University 240B Psychology Building East Lansing, MI 48824-1116 E-mail: pierces1 at msu.edu Web: http://www.psychology.msu.edu/eco/