Two other procedures that are appropriately used with planned contrasts (besides t-tests) are Dunnett's many-one method and Bonferroni's inequality. A full complement of planned contrasts will consist of one less than the number of means in the study, and they should all be at least linearly independent of one another (if they aren't mutually orthogonal - a stronger form of linear independence). Planned t-tests can be conducted instead of an Anova (or even notwithstanding a 'non-significant' Anova F value) by virtue of their having been planned prior to collecting the data in that experiment or study. Technically, planned tests (or the use of planned contrasts) are not "follow-up" tests that are done following a 'significant' omnibus F value from an Anova. Section 3.3.8.4: Planned contrasts for within subjects ANOVA (71-71).Section 3.3.6.1: Post hoc tests and planned contrasts (61-63).Francis (Introduction to SPSS for Windows):.Howell (Statistical Methods): Chapter 12: Multiple comparison among treatment means (343-389).Section 16.5: Multiple comparison procedures (375-383).Chapter 9.4.3 Follow up analyses (One-way repeated measures ANOVA).Chapter 8.4.2 Follow up analyses (Factor between groups ANOVA Example 2).
Chapter 7.4.3 Follow up analyses (One-way ANOVA Example 2).Chapter 7.3.3 Follow up analyses (One-way ANOVA Example 1).Allen & Bennett (SPSS for the health and behavioural sciences):.To learn more about conducting follow-up tests for ANOVA, consult: There are two types of follow-up tests: planned contrasts (when you have hypothesised specific group comparisions) and post hoc tests (when you haven't hypothesised specific differences - tests all pairs of groups). 4 A statistically more powerful alternative.
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