Questions tagged [ctt]

Classical Test Theory is a theory of testing based on the idea that a person’s observed test score is the sum of a true score and an error score.

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Can IRT supersede CTT nowadays?

CTT is Classical Test Theory, IRT is Item Response Theory. IRT can handle anything CTT can. But I am curious why IRT is seldom mentioned on this site. Can IRT supersede CTT nowadays?
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Algebraic simplification of a formula for the covariance between observed and true scores

Furr and Bacharach (2014) present on p. 115 the following equation for the covariance between observed and true scores: $$cov_{ot} = \frac{\sum(X_t+X_e+\bar{X}_t)(X_t+\bar{X}_t)}{N} $$ I understand how one gets from the basic principles of Classical…
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Ceiling effect of data-IRT Rasch EFA

Can you do IRT, CFA and/or Rasch if your data has items with large ceiling effects (i.e., no one was choosing the last two options of a 5-point likert scale)? Is it appropriate to do?