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The Performance Of The Linear Logistic Test Model When The Q-Matrix Is Misspecified: A Simulation Study, George T. Macdonald
The Performance Of The Linear Logistic Test Model When The Q-Matrix Is Misspecified: A Simulation Study, George T. Macdonald
USF Tampa Graduate Theses and Dissertations
A simulation study was conducted to explore the performance of the linear logistic test model (LLTM) when the relationships between items and cognitive components were misspecified. Factors manipulated included percent of misspecification (0%, 1%, 5%, 10%, and 15%), form of misspecification (under-specification, balanced misspecification, and over-specification), sample size (20, 40, 80, 160, 320, 640, and 1280), Q-matrix density (60% and 46%), number of items (20, 40, and 60 items), and skewness of person ability distribution (-0.5, 0, and 0.5). Statistical bias, root mean squared error, confidence interval coverage, confidence interval width, and pairwise cognitive components correlations were computed. The impact …