Download presentation
Presentation is loading. Please wait.
1
LECTURE 5 TRUE SCORE THEORY
2
True Score Theory OBJECTIVES: - know basic model, assumptions - know definition of reliability, relation to TST - be able to compute estimates of reliability for: internal consistency test-retest parallel forms
3
BASIC EQUATION x = + e x = observed score = true (latent) score: represents the score that would be obtained over many independent administrations of the same item or test e = error: difference between y and
4
ASSUMPTIONS and e are independent (uncorrelated) The equation can hold for an individual i on item j at one occasion k: x ijk = ijk + e ijk (individual) x *** = *** + e *** (group) combinations (individual across time)
5
SOME RESULTS VAR(X) = VAR( ) + VAR(e) 2 x = 2 + 2 e Correlation of x and is the index of reliability: x = COV(x, )/ x =COV( +e, )/ x = 2 / x = / x
6
x xx e PATH DIAGRAM REPRESENTATION
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.