Person Fit in the Rasch Model

The idea of whether a person's response pattern is "believable" given his estimated ability is one of the central issues in measurement. This article traces the development of this idea from Thurstone to Rasch. It also presents the rationale behind the development of person analysis in the Rasch model. Finally, it presents data based on simulated response patterns which provide insight into the power and Type I error rates of the Rasch unweighted total and between person fit statistics under a variety of simulated measurement disturbances.

[1]  B. MisraSasi,et al.  Measurement of Attitudes , 1977 .

[2]  R. Glaser The Application of the Concepts of Multiple-Operation Measurement to the Response Patterns on Psychological Tests , 1951 .

[3]  L. Guttman A basis for scaling qualitative data. , 1944 .

[4]  Georg Rasch,et al.  Probabilistic Models for Some Intelligence and Attainment Tests , 1981, The SAGE Encyclopedia of Research Design.

[5]  C. I. Mosier Psychophysics and mental test theory. II. The constant process. , 1941 .

[6]  Delwyn L. Harnisch,et al.  ANALYSIS OF ITEM RESPONSE PATTERNS. QUESTIONABLE TEST DATA AND DISSIMILAR CURRICULUM PRACTICES , 1981 .

[7]  J. Lumsden Variations on a Theme by Thurstone , 1980 .

[8]  C. I. Mosier Psychophysics and mental test theory: Fundamental postulates and elementary theorems. , 1940 .

[9]  R. Glaser The Reliability of Inconsistency , 1952 .

[10]  L. Cronbach Further Evidence on Response Sets and Test Design , 1950 .

[11]  Michael I. Waller A PROCEDURE FOR COMPARING LOGISTIC LATENT TRAIT MODELS , 1981 .

[12]  James Lumsden Tests are perfectly reliable , 1978 .

[13]  R. L. Thorndike Personnel selection : test and measurement techniques , 1951 .

[14]  L. Thurstone Theory of attitude measurement. , 1929 .

[15]  Frederic E. Fischer,et al.  An Index of an Individual's Agreement with Group-Determined Item Difficulties , 1968 .

[16]  L. Cronbach Response Sets and Test Validity , 1946 .

[17]  R. Glaser,et al.  A Methodological Analysis of the Inconsistency of Response to Test Items , 1949 .

[18]  R. Glaser Multiple operation measurement. , 1950, Psychology Review.

[19]  David J. Weiss The Stratified Adaptive Computerized Ability Test. , 1973 .

[20]  B. Wright,et al.  Best test design , 1979 .