Using Generalizability Theory to Estimate the Relative Effect of Class Size and Number of Items on the Dependability of Student Ratings of Instruction
Ali Mohamed Ibrahim
Abstract
Ali Mohamed Ibrahim
Abstract
Previous research on the effect of class size on student ratings of instruction has primarily investigated the effect of class size on the favorableness of these ratings rather than its effect on their reliability (dependability). A few studies have used "generalizability theory" to demonstrate the relative effect of class size on the dependability of student ratings of instruction. The purpose of the present study was to test the validity of the findings of these studies in a different cultural setting using a different student ratings questionnaire. Using a random-effect analysis of variance to estimate the variance components for a design in which students were nested within classes and crossed with items, it was found that the variance component for class size was appreciably larger than that for items. At least 20 students were needed to obtain a generalizability coefficient for relative decisions of .70 or more. Increasing the number of students has a greater effect on generalizability coefficients than increasing the number of items.
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Previous research on the effect of class size on student ratings of instruction has primarily investigated the effect of class size on the favorableness of these ratings rather than its effect on their reliability (dependability). A few studies have used "generalizability theory" to demonstrate the relative effect of class size on the dependability of student ratings of instruction. The purpose of the present study was to test the validity of the findings of these studies in a different cultural setting using a different student ratings questionnaire. Using a random-effect analysis of variance to estimate the variance components for a design in which students were nested within classes and crossed with items, it was found that the variance component for class size was appreciably larger than that for items. At least 20 students were needed to obtain a generalizability coefficient for relative decisions of .70 or more. Increasing the number of students has a greater effect on generalizability coefficients than increasing the number of items.
Key concepts: Generalizability theory, Dependability, Psychology, Variance (accounting), Reliability (semiconductor), Class (philosophy), Variance components, Class size