Multiple Comparisons (Bonferroni & Tukey HSD) with Confidence Intervals
Zaiontz’s Method for Multiple Comparisons

Exercise:
Four different stimulations (A1, A2, A3, and A4) were applied to 10 subjects, and the subjects’ responses were compared between pre- and post-stimulation. The changes in response were quantified by subtracting pre-stimulation response from post-stimulation response in each subject, and the results are shown in the figure below.

Analyze whether magnitudes of response are different depending on types of stimulation.

Comparative Verification Test

Mauchly Tests for sphericity: StatFinale, ND; SPSS, 0.572; EZR, 0.57162.
P-value (Repeated measures ANOVA Assuming Sphericity): StatFinale 4.6751E-05, SPSS 0.000, EZR 4.6751E-05
GG and HF corrections for departure from sphericity:
Greenhouse-Geisser: StatFinale, 0.0003689; SPSS, 0.000; EZR, 0.0001862.
Huyhn-Feldt: StatFinale, 4.6751E-05; SPSS, 0.000; EZR, 4.6751E-05.
Multiple comparisons and confidence intervals (CIs): Exact match
Multiple C (Paired t-test): StatFinale & EZR
Multiple C & CIs (Bonferroni): StatFinale & SPSS
Multiple C & CIs (Tukey HSD): StatFinale, Multiple C & CIs (Zaiontz): StatFinale
Multivariate ANOVA (Pillai-Bartlett Trace, Wilks Lambda, Hotelling-Lawley Trace, Roy’s Largest Root): SPSS

Reports of SPSS & EZR