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^{text} for superscript and _{text} for subscript in any label.e.g.
CO_{2} → CO₂ · m^{2} → m²
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Design (from spreadsheet)
Analysis
Two-way ANOVA
Test the independent and joint effects of two categorical factors.
← Set column roles in the spreadsheet, then click ▶ Run two-way ANOVA.
Engine: weighted cell-means (Type III SS, works for unbalanced designs).
Post-hoc: Tukey HSD with Kramer correction for unequal n.
Effect size: partial η² per effect.
Design (from spreadsheet)
Analysis
About this test
Sphericity is tested (Mauchly's W), with Greenhouse-Geisser and Huynh-Feldt corrected p-values shown alongside the uncorrected one — verified against R's
ez::ezANOVA /
Python's pingouin.rm_anova conventions. Mauchly's
test itself has low power at small n, so a non-significant
result doesn't confirm sphericity holds — the GG-corrected p is
the safer default read regardless of what Mauchly's says.
Repeated-Measures ANOVA
Test a within-factor across repeated observations on the same subjects.
← Set column roles in the spreadsheet, then click ▶ Run repeated-measures ANOVA.
Engine: one-way within-subjects ANOVA (subject variance partitioned out of error).
Post-hoc: pairwise paired t-tests, Bonferroni-adjusted.
Effect size: partial η² for the within-factor.