William B . Ware ( 1997 ) claims that the omnibus test significance is required depending on the Post Hoc test is conducted or planned : " . . . Tukey's HSD and Scheff?s procedure are one-step procedures and can be done without the omnibus F having to be significant.
12.
The table above shows the Omnibus Test of Model Coefficients based on Chi-Square test, that implies that the overall model is predictive of re-arrest ( we re concerned about row three Model ) : ( 4 degrees of freedom ) = 41.15, p < . 001, and the null can be rejected.
13.
Those omnibus tests are usually conducted whenever one tends to test an overall hypothesis on a quadratic statistic ( like sum of squares or variance or covariance ) or rational quadratic statistic ( like the ANOVA overall F test in Analysis of Variance or F Test in Analysis of covariance or the F Test in Linear Regression, or Chi-Square in Logistic Regression ).
