In that case Tamhane's test can be made on Post Hoc comparisons.

In an episode called "Post Hoc", near the end of the final season, Bug disappears without a trace, to the great consternation of his colleagues.

"Post Hoc Ergo Propter Hoc?

"Post Hoc, Ergo Propter Hoc" is the second episode of The West Wing, an American television serial drama.

A significant omnibus F test in ANOVA procedure, is an in advance requirement before conducting the Post Hoc comparison, otherwise those comparisons are not required.

The President tells C.J. that it will say "Post Hoc, Ergo Propter Hoc" on her grave and goes on to explain the term.

The second episode of The West Wing, titled Post Hoc, Ergo Propter Hoc, makes use of the phrase at two different levels, in two different ways.

In the second episode, "Post Hoc, Ergo Propter Hoc", Mandy ultimately leaves the senator, and stops dating him, when he defies her wishes and tables a bill in committee that she planned to fight vigorously for.

In order to determine which mean differ from another mean or which contrast of means are significantly different, Post Hoc tests (Multiple Comparison tests) or planned tests should be conducted after obtaining a significant omnibus F test.

Marascuilo, L.A. & Levin, J.R., "Appropriate Post Hoc Comparisons for Interaction and nested Hypotheses in Analysis of Variance Designs: The Elimination of Type-IV Errors", American Educational Research Journal, Vol.7.

This early episode is one of the few occasions that the main characters are among many others in a meeting in the Oval Office with the President, in the scene where the President explains to C.J. what "Post Hoc, Ergo Propter Hoc" means:

In the second episode of season one, "Post Hoc, Ergo Propter Hoc", Bartlet remarks to Captain Morris Tolliver (Ruben Santiago-Hudson), a naval doctor, that Fitzwallace and the other Joint Chiefs dislike him for his lack of military experience.

With references to Shakespeare and Graham Greene, visits to rare-book stores and oblique Latin episode titles like "Post Hoc Ergo Propter Hoc," the show is so achingly high end that you almost expect the warning "Quality Television" to start flashing below the picture.

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 Scheffé's procedure are one-step procedures and can be done without the omnibus F having to be significant.