Reference to support using binomial GLM for proportion response

Question

I have a GLM where I'm predicting a proportion response (# correct items / total # of quiz items). The common recommendation in this case is to assume a binomial distribution and use a logit link. For example: What are the issues with using percentage outcome in linear regression? and Regression for an outcome (ratio or fraction) between 0 and 1

Some others in my department (varying levels of statistical knowledge) disagree, or agree but suggest the use of Poisson or a linear model for simplicity.

In addressing their concerns, and also anticipating reviewer responses to the analysis, I'm wondering if there are any references (e.g. journal articles) that I could cite that suggest/recommend binomial GLM for this type of outcome variable?

See also: https://stats.stackexchange.com/questions/216122/what-is-the-difference-between-logistic-regression-and-fractional-response-regre — kjetil b halvorsen, Jul 06 '22 at 23:57

score 3 · Accepted Answer · answered Aug 21 '18 at 11:58

3

Recommended in comments:

McCullagh, P., & Nelder, J. A. (1989). Generalized linear models (Monographs on Statistics and Applied Probability 37). CRC press.

Hardin, J. W. & Hilbe, J. M. (2007). Generalized linear models and extensions. Stata press.

Zhao, L., Chen, Y., & Schaffner, D. W. (2001). Comparison of logistic regression and linear regression in modeling percentage data. Applied and Environmental Microbiology, 67(5), 2129-2135.

answered Aug 21 '18 at 11:58

mkt

18,245
11
73
172

h/t @TheLaconic – mkt Aug 21 '18 at 11:58
h/t @kjetilbhalvorsen – mkt Aug 21 '18 at 11:58

Reference to support using binomial GLM for proportion response

1 Answers1

Linked