Jh. Albert, A BAYESIAN-APPROACH TO ESTIMATION OF GPAS OF UNIVERSITY-OF-IOWA FRESHMEN UNDER ORDER RESTRICTIONS, Journal of educational statistics, 19(1), 1994, pp. 1-21
Citations number
11
Categorie Soggetti
Social Sciences, Mathematical Methods","Education & Educational Research
The problem of interest is to estimate a two-way table of means of gra
de point averages (GPAs) of University of Iowa freshmen grouped by lev
els of ACT scores and high school percentiles. Suppose one believes a
priori that the table means satisfy a specific partial order. The use
of two different classes of prior distributions is considered in model
ing this prior information. The use of simulation and, in particular,
the Gibbs sampler are outlined to summarize various posterior distribu
tions of interest. The posterior distribution is used to predict the g
rade point averages of future Iowa freshmen.