Table 1

Overall fit statistics and tests of local independence by set

Item set1234
Summary statistics
 Persons (n)255287289283
 Mean item fit residual (SD)0.02 (1.83)−0.03 (1.52)−0.14 (1.11)−0.08 (1.38)
 Mean person location (SD)−0.81 (1.00)−1.06 (0.97)−1.15 (0.96)−1.15 (0.75)
 Overall χ2 value (df)177.6 (75)194.3 (96)189.5 (96)170.7 (72)
 χ2 probability0.000.000.000.00
 Person Separation Index0.750.700.690.54
 Cronbach’s alpha0.810.780.780.63
 Items with misfit (n)2111
 Persons with misfit (n)0213
Tests for multidimensionality and response dependency
 Proportion of significant paired t-tests (%)3.52.82.85.7
 Dependent pairs of items (n)0000