Table 31.4 Differential person functioning DPF fit summary
Table 31.4 summarizes the CLASS Differential Person Functioning statistics for each person shown in Table 31.2. Table 31.2 shows a t-statistic for each CLASS. These are summarized as chi-square statistics for each person, indicating whether the observed DPF within each person is due to chance alone. The null hypothesis is that the DPF is statistically zero across the classes. Please do not use anchoring (IAFILE=, PAFILE=, SAFILE=) when investigating this Table.
DPF class/group specification is: DPF=$S1W1
| TAP SUMMARY DPF BETWEEN-CLASS KID |
| CLASSES CHI-SQUARE D.F. PROB. MEAN-SQUARE t=ZSTD Number Name |
| 2 .2914 1 .5893 .2291 -.3520 1 Adam M |
TAP CLASSES/GROUPS is the count of item CLASSES or GROUPS for the person.
SUMMARY DIF CHI-SQUARE is the sum of the squared normalized t-statistic values from Table 31.2.
D.F. is the degrees of freedom, the count of CLASSES or GROUPS contributing to the chi-square less 1.
PROB. is the probability of the chi-square. Values less than .05 indicate statistical significance.
BETWEEN-CLASS/GROUP are Between-Group Fit Statistics, testing the hypothesis: "The dispersion of the group measures accords with Rasch model expectations."
MEAN-SQUARE is chi-square divided by its degrees of freedom. It is the size of the misfit (expectation = 1.0, overfit <1.0, underfit >1.0).
t=ZSTD is the significance of the MEAN-SQUARE standardized as a unit-normal deviate (t-statistic with infinite degrees of freedom).
KID is the person. Number is the person entry number. Name is the person label.
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|Rasch Measurement Transactions (free, online)||Rasch Measurement research papers (free, online)||Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch||Applying the Rasch Model 3rd. Ed., Bond & Fox||Best Test Design, Wright & Stone|
|Rating Scale Analysis, Wright & Masters||Introduction to Rasch Measurement, E. Smith & R. Smith||Introduction to Many-Facet Rasch Measurement, Thomas Eckes||Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments, George Engelhard, Jr. & Stefanie Wind||Statistical Analyses for Language Testers, Rita Green|
|Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar||Journal of Applied Measurement||Rasch models for measurement, David Andrich||Constructing Measures, Mark Wilson||Rasch Analysis in the Human Sciences, Boone, Stave, Yale|
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