Asymptotic null distribution of person fit statistics with estimated person parameter

Psychometrika ◽  
2001 ◽  
Vol 66 (3) ◽  
pp. 331-342 ◽  
Author(s):  
Tom A. B. Snijders
Keyword(s):  
Null Distribution ◽  
Person Fit ◽  
Asymptotic Null Distribution ◽  
Fit Statistics ◽  
Person Parameter

The Null Distribution of Person-Fit Statistics for Conventional and Adaptive Tests

1999 ◽  
Vol 23 (4) ◽  
pp. 327-345 ◽  
Author(s):  
Edith M. L. A. Van Krimpen-Stoop ◽  
Rob R. Meijer
Keyword(s):  
Null Distribution ◽  
Person Fit ◽  
Adaptive Tests ◽  
Fit Statistics

scholarly journals Person-fit statistics, response sets and survey participation in a population-based cohort study

Psihologija ◽  
2015 ◽  
Vol 48 (4) ◽  
pp. 345-360 ◽  
Author(s):  
Jörg Müller ◽  
Petra Hasselbach ◽  
Adrian Loerbroks ◽  
Manfred Amelang
Keyword(s):  
Social Desirability ◽  
Common Factor ◽  
Population Based ◽  
Person Fit ◽  
Fit Statistics ◽  
Person Parameter ◽  
Response Sets ◽  
Survey Participation ◽  
Scale Scores

Person-fit methodology is a promising technique for identifying subjects whose test scores have questionable validity. Less is known however about this technique?s ability to predict survey participation longitudinally. This study presents theory-derived expectations related to social desirability, the tendency for extreme responding and traitedness for specific deviating answer patterns and an expected consistence of person-fit scores across 27 personality scales. Data from 5,114 subjects (Amelang, 1997) were reanalysed with a polytomous-Rasch model to estimate scale scores and von Davier and Molenaar?s (2003) person-fit statistics. The person-fit statistics of the 27 scales were examined together with the 27 person parameter scores in one common factor analysis. The person-fit scores served as indicators of the latent factor ?scalability? while the person-parameter scores were considered to index the bias introduced by social desirability. The sign of factor loadings showed consistency and validity of the tendency for social desirability and extreme responding. Moreover, the personfit- based subject classification derived from the baseline data was able to predict subjects? participation at a 8,5-year follow-up. However, the nature of those associations was contrary to our predictions. The discussion addresses explanations and practical implications, but also the limitations pertaining to the identification and interpretation of person-fit scores.

scholarly journals The Effect of Person Misfit on Item Parameter Estimation and Classification Accuracy: A Simulation Study

2020 ◽  
Vol 10 (11) ◽  
pp. 324
Author(s):  
Amin Mousavi ◽  
Ying Cui
Keyword(s):  
Item Parameter ◽  
Response Patterns ◽  
Fit Indices ◽  
Person Fit ◽  
High Performing ◽  
Fit Statistics ◽  
Aberrant Response Patterns ◽  
Item Parameters ◽  
Item Level ◽  
Item Parameter Estimation

Often, important decisions regarding accountability and placement of students in performance categories are made on the basis of test scores generated from tests, therefore, it is important to evaluate the validity of the inferences derived from test results. One of the threats to the validity of such inferences is aberrant responding. Several person fit indices were developed to detect aberrant responding on educational and psychological tests. The majority of the person fit literature has been focused on creating and evaluating new indices. The aim of this study was to assess the effect of aberrant responding on the accuracy of estimated item parameters and refining estimations by using person fit statistics by means of simulation. Our results showed that the presence of aberrant response patterns created bias in the both b and a parameters at the item level and affected the classification of students, particularly high-performing students, into performance categories regardless of whether aberrant response patterns were present in the data or were removed. The results differed by test length and the percentage of students with aberrant response patterns. Practical and theoretical implications are discussed.

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