Derivations of Observed Score Linear Equating Methods Based on Test Score Models for the Common Item Nonequivalent Populations Design

1986 ◽  
Vol 11 (4) ◽  
pp. 245 ◽  
Author(s):  
David Woodruff
Keyword(s):  
Test Score ◽  
Common Item ◽  
The Common ◽  
Observed Score ◽  
Linear Equating

Derivations of Observed Score Linear Equating Methods Based on Test Score Models for the Common Item Nonequivalent Populations Design

1986 ◽  
Vol 11 (4) ◽  
pp. 245-257 ◽  
Author(s):  
David Woodruff
Keyword(s):  
Test Score ◽  
Common Item ◽  
The Common ◽  
Observed Score ◽  
Linear Equating

Linear equating methods for the common item nonequivalent populations design are derived from explicitly stated test score models. The models are congeneric type models for tests administered in two distinct populations. Though the data collected in the design are incomplete, procedures for estimating all parameters necessary for equating are derived. The equating methods developed are compared with previously developed methods to which they are similar. By developing explicit models for the problem, insight is gained into the assumptions required for its solution.

A Note on Levine’s Formula for Equating Unequally Reliable Tests Using Data From the Common Item Nonequivalent Groups Design

1991 ◽  
Vol 16 (2) ◽  
pp. 93-100 ◽  
Author(s):  
Bradley A. Hanson
Keyword(s):  
Linear Function ◽  
Method Of Moments ◽  
Test Score ◽  
First Order ◽  
Common Item ◽  
Nonequivalent Groups ◽  
The Common ◽  
Using Data ◽  
Observed Score ◽  
True Scores

Levine’s formula for equating unequally reliable tests using data collected in the common item nonequivalent groups equating design is an estimate of a linear function relating true scores on two test forms to be equated. Because a function relating true scores is applied to the observed score, it is not clear how the resulting converted observed score is in any sense comparable to the observed score it is being equated to. This article demonstrates that Levine’s formula can be interpreted as a method of moments estimate of an equating function that results in first order equity of the equated test score under a classical congeneric model.

scholarly journals Linear Equating Models for the Common-item Nonequivalent-Populations Design

1987 ◽  
Vol 11 (3) ◽  
pp. 263-277 ◽  
Author(s):  
Michael J. Kolen ◽  
Robert L. Brennan
Keyword(s):  
Common Item ◽  
The Common ◽  
Linear Equating

Interpretation of the Standard Error of Measurement when True Scores and Error Scores on Mental Tests are Not Independent

1966 ◽  
Vol 19 (2) ◽  
pp. 611-617 ◽  
Author(s):  
Donald W. Zimmerman ◽  
Richard H. Williams
Keyword(s):  
Standard Deviation ◽  
Standard Error ◽  
Test Score ◽  
Test Reliability ◽  
True Score ◽  
Observed Score ◽  
Standard Error Of Measurement ◽  
True Scores ◽  
Modified Equation ◽  
Error Of Measurement

It is shown that for the case of non-independence of true scores and error scores interpretation of the standard error of measurement is modified in two ways. First, the standard deviation of the distribution of error scores is given by a modified equation. Second, the confidence interval for true score varies with the individual's observed score. It is shown that the equation, so=√[(N−O/a]+[so2(roō−roo)/roō]̄, where N is the number of items, O is the individual's observed score, a is the number of choices per item, so2 is observed variance, roo is test reliability as empirically determined, and roō is reliability for the case where only non-independent error is present, provides a more accurate interpretation of the test score of an individual.

Observed Score Linear Equating with Covariates

2011 ◽  
Vol 48 (4) ◽  
pp. 419-440 ◽  
Author(s):  
Kenny Bränberg ◽  
Marie Wiberg
Keyword(s):  
Observed Score ◽  
Linear Equating
Sign in / Sign up

Export Citation Format

Share Document