A Comparison of Two Procedures for Computing IRT Equating Coefficients

1991 ◽  
Vol 28 (2) ◽  
pp. 147-162 ◽  
Author(s):  
Frank B. Baker ◽  
Ali Al-Karni
Keyword(s):  
Irt Equating ◽  
Equating Coefficients

Item Response Theory True Score Equatings and Their Standard Errors

2001 ◽  
Vol 26 (1) ◽  
pp. 31-50 ◽  
Author(s):  
Haruhiko Ogasawara
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Standard Errors ◽  
Simultaneous Estimation ◽  
True Score ◽  
Response Theory ◽  
Asymptotic Standard Errors ◽  
Item Parameters ◽  
Irt Equating ◽  
Equating Coefficients

The asymptotic standard errors of the estimates of the equated scores by several types of item response theory (IRT) true score equatings are provided. The first group of equatings do not use IRT equating coefficients. The second group of equatings use the IRT equating coefficients given by the moment or characteristic curve methods. The equating designs considered in this article cover those with internal or external common items and the methods with separate or simultaneous estimation of item parameters of associated tests. For the estimates of the asymptotic standard errors of the equated true scores, the method of marginal maximum likelihood estimation is employed for estimation of item parameters.

Irt Versus Conventional Equating Methods: A Comparative Study of Scale Stability

1983 ◽  
Vol 8 (2) ◽  
pp. 137-156 ◽  
Author(s):  
Nancy S. Petersen ◽  
Linda L. Cook ◽  
Martha L. Stocking
Keyword(s):  
Item Response ◽  
Characteristic Curve ◽  
Calibration Method ◽  
Transformation Method ◽  
Scholastic Aptitude Test ◽  
Irt Model ◽  
Scholastic Aptitude ◽  
Reliable Model ◽  
Parallel Tests ◽  
Irt Equating

Scale drift for the verbal and mathematical portions of the Scholastic Aptitude Test (SAT) was investigated using linear, equipercentile and item response theory (IRT) equating methods. The linear methods investigated were the Tucker, Levine Equally Reliable and Levine Unequally Reliable models. Three IRT calibration designs were employed. These designs are referred to as (1) concurrent, (2) fixed b’s method, and (3) characteristic curve transformation method. The results of the various equating methods were compared both graphically and analytically. These results indicated that for reasonably parallel tests, linear equating methods perform adequately. However, when tests differ somewhat in content and length, methods based on the three-parameter logistic IRT model lead to greater stability of equating results. Of the conventional equating methods investigated, the Levine Equally Reliable model appears to be the most robust for the type of equating situation used in this study. The IRT method that provided the most stable equating results overall was the concurrent calibration method.

Post-hoc IRT equating of previously administered English tests for comparison of test scores

2008 ◽  
Vol 25 (2) ◽  
pp. 187-210 ◽  
Author(s):  
Chisato Saida ◽  
Tamaki Hattori
Keyword(s):  
Test Scores ◽  
Post Hoc ◽  
Irt Equating

The numerical solution of linear differential equations in Chebyshev series

1957 ◽  
Vol 53 (1) ◽  
pp. 134-149 ◽  
Author(s):  
C. W. Clenshaw
Keyword(s):  
Differential Equation ◽  
Fourier Series ◽  
Ordinary Linear Differential Equation ◽  
Finite Range ◽  
Series Method ◽  
Chebyshev Series ◽  
Fourier Series Method ◽  
Linear Differential ◽  
Second Order Equations ◽  
Equating Coefficients

ABSTRACTThis paper describes a method for computing the coefficients in the Chebyshev expansion of a solution of an ordinary linear differential equation. The method is valid when the solution required is bounded and possesses a finite number of maxima and minima in the finite range of integration. The essence of the method is that an expansion in Chebyshev polynomials is assumed for the highest derivative occurring in the equation; the coefficients are then determined by integrating this series, substituting in the original equation and equating coefficients.Comparison is made with the Fourier series method of Dennis and Foots, and with the polynomial approximation method of Lanczos. Examples are given of the application of the method to some first and second order equations, including one eigenvalue problem.

IRT Equating Methods

1991 ◽  
Vol 10 (3) ◽  
pp. 37-45 ◽  
Author(s):  
Linda L. Cook ◽  
Daniel R. Eignor
Keyword(s):  
Irt Equating
Sign in / Sign up

Export Citation Format

Share Document