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. 2017 May 25;7(5):e013185. doi: 10.1136/bmjopen-2016-013185

Table 1.

Overall fit statistics and tests of local independence by set

Item set 1 2 3 4
Summary statistics
 Persons (n) 255 287 289 283
 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 probability 0.00 0.00 0.00 0.00
 Person Separation Index 0.75 0.70 0.69 0.54
 Cronbach’s alpha 0.81 0.78 0.78 0.63
 Items with misfit (n) 2 1 1 1
 Persons with misfit (n) 0 2 1 3
Tests for multidimensionality and response dependency
 Proportion of significant paired t-tests (%) 3.5 2.8 2.8 5.7
 Dependent pairs of items (n) 0 0 0 0