Classical Test Theory PDF
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Kansas State University
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This document presents questions and answers related to classical test theory. The content covers topics such as the relationship between construct irrelevant variance and systematic error, formulas for standard error of measurement and reliability, and the focus of classical test theory.
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1. classical test theory can increase test theory in two main ways, what are the two main ways? a. Through better measurement practices b. Through increasing the variability of true scores c. Add more items d. Write items that measure wider range of the continuum of th...
1. classical test theory can increase test theory in two main ways, what are the two main ways? a. Through better measurement practices b. Through increasing the variability of true scores c. Add more items d. Write items that measure wider range of the continuum of the construct 2. what is the relationship between construct irrelevant variance (CIV) test bias and systematic error? a. The predisposition is unrelated to the construct being measured 3. there is a slide that discusses the formula for the standard error of measurement (SEM), what does it say about reliability? a. SEM is directly related to reliability i. higher reliability = lower SEM ii. 𝑠𝑒𝑚 = 𝑠𝑜 1 − 𝑅𝑥𝑥 4. what is the formula for reliability where true score variance is divided by observed score variance? a. Reliability (Rxx) = TSV/ OSV b. If you increase the OSV without increasing the TSV, it leads to decreased variances 5. what is the focus of classical test theory is, what is classical test theory estimating? a. The focus of CTT is on estimating random error in measurement b. The focus of CTT is the idea of true score c. CTT uses OS to estimate TS 6. what is the difference between Tao equivalent and essentially tao equivalent? a. tau equivalent = measures same construct, independent, equal scores, equal error variance b. essentially tau equivalent = are similar but they allow allow differences in means and differing in error variance c. Essential tau equivalent tests only vary by a constant while taw equivalent test also possess an equal true score 7. there are 4 different formulas about reliability, what concept goes with what formula? 8. what is the formula that goes with the logical assumption of error? a. xo = Xt + Xe b. Observed score = true score + error 9. what is the formula for the assumption of independence? a. True score and error score is zero (rte = 0) b. 2nd CTT assumption is ind. c. We assume that there is no correlation btwn. The true score and error score; error relates only randomly to the true score, so the two scores have no overlap in what they measure; true score and random arrow are two separate variables d. Error is statistically ind. of the true score 10. what is the formula for the mean of errors assumption? a. E(ε) = 0 b. A sufficiently large number of examinees will result in a mean error of o