Model for the Generalizability Theory - Statistics Assessment Answer

Statistics Assessment Task

Assignment

A student developed for her dissertation a 36-item scale for raters to evaluate the quality of teacher instruction by video. To evaluate the measurement process, she had 5 teacher observation experts rate videotaped lessons from 3 different teachers. Each teacher submitted one 45-minute lesson for evaluation. The lessons differed across teachers. Each of the 5 expert raters evaluated all 3 teacher-videos using all 36 items. Items were scored on a 1-4 integer scale.

a. Write out the full model for the Generalizability Theory design that best represents this procedure. Include at least 1 or 2 examples of specifications of error distributions.

b. Of the facets of error whose variance components you cannot estimate, which do you think is of greatest concern?

c. The student was interested in comparing the reliability of these 5 expert raters to principal raters. For principals, she used the same design but with 65 principals (each of the 65 principals rated all 3 teacher-videos, using all 36 items). She obtained the estimated variance components below for experts and for principals. She used the same videos and items across both studies.

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