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Two-Way Mixed-Model ANOVA (Between-Within Design)

Two-way mixed model ANOVA is also known as Two-way Mixed factorial ANOVA and split-plot factorial design. This Design combines one independent sample factor (Factor A) and one correlated groups factor (Factor B), evaluating the main effects of the Factor A, Factor B, and and the interaction (AB).

Supported Worksheet Layout

For this ANOVA design, Aabel supports two different worksheet layouts.

Analysis Output

The default output includes the two-way ANOVA table. The additional output depends on selected options, and can include interaction plots, the results for sphericity test and corrections, and table reports for selected multiple comparisons tests.

Sphericity Evaluation (Haris W):

Greenhouse & Geisser and Huynd & Feldt Corrections:

Multiple Comparisons/Post-Hoc Tests

    Simple comparisons (also know as pair-wise comparisons) accompanying two-way mixed between-within ANOVA design include:

  • Tukey's HSD test (see the example above)
  • Tukey B test on ordered means
  • Fisher's LSD test
  • The Newman-Keuls (Neuman-Keuls) test on ordered means
  • Tukey Kramer test
  • Scheffé test
  • Bonferroni-Dunn test

The example below is the Bonferroni-Dunn test result for the two-way mixed between-within ANOVA example illustrated above.

For more information regarding multiple comparisons, click here.