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. 2020 Oct 20;20:960. doi: 10.1186/s12913-020-05770-w

Table 2.

Summary of the statistical analyses and set fit criteria applied for each analysis

Rasch statistic Fit criteria
Overall fit of items, mean and SD: To what degree do observed item responses correlate with expected responses from the Rasch model? Perfect fit = mean of 0 and SD of 1 Acceptable fit = SD < 1.5
Overall fit of persons, mean and SD: To what degree do observed person responses correlate with expected responses from the Rasch model? Perfect fit = mean of 0 and SD of 1 Acceptable fit = SD < 1.5
Item-trait interaction, chi-square probability value: What is the probability that the overall responses fit the model? Nonsignificant Bonferroni-adjusted probability value [38, 48] *
Person separation index: To what degree are item responses consistent across respondents? Values ≥0.8 [49]
Thresholds: Do the response categories and thresholds work as intended, i.e. advancing monotonically, or are there any disordered thresholds? Ordered thresholds [38]
Individual item fit: To what degree do the observed individual item responses correlate with expected responses from the Rasch model?

Fit residual = +/− 2.5 [50] Chi-square probability values nonsignificant with Bonferroni-adjusted probability value [38, 48] *

Visual check of item characteristic curves in which the observed values should fit as closely as possible to the theoretical curve [38]

Individual person fit: To what degree do the observed individual responses correlate with expected responses from the Rasch model? Fit residual = +/− 2.5 [50]
Targeting: To what degree are items targeted to the persons in the sample? Mean location score for the persons should be close to the mean value of zero set for the items [51]
Differential item functioning: Does any item deviate from the a-priori requirement of invariance across groups for gender, age and care? Nonsignificant Bonferroni-adjusted probability value [38, 48] *
Local dependency: Does any item show dependency on a response to another item? No positive residual correlations > 0.2 above the average residual correlations across all items [52]
Dimensionality: To what degree does the questionnaire measure one single dimension? The proportion of t tests reaching significance should not exceed 5% in the independent t test protocol [53, 54]

* Bonferroni adjustments for multiple null hypothesis testing were applied with the alpha level of significance set at 0.05 [48]