A chi-square (χ2) statistic is a test that is used to measure how expectations compare to actual observed data or model results.

If proportionality holds, then two sets of minimum chi-squared estimators, one from a further grouped data and the other from the original grouped data, will converge to the same quantity; otherwise, ...

Generally, the chi-square tests for overall model fit were found to be sensitive to non-normality and the size of the model for all estimators (with the possible exception of the elliptical estimators ...