One-way repeated-measures ANOVA

MinutePlot^® and R on the same data. MinutePlot version 1.0.0; R 4.5.2.

Dataset

• rm_longitudinal (generated) — A generated longitudinal dataset: 8 subjects measured at three times (T1, T2, T3), one value each -- subject, within-factor, value; fixed seed.
• Data format for MinutePlot: rm_longitudinal_minuteplot.csv — arranged exactly as the app’s data template for this test expects (paste it into the app).
• Data format for R: rm_longitudinal_r.csv — the long-format file the R script reads (keep it in the script’s folder).

Setup

In MinutePlot:

• Workbench → One-way repeated-measures ANOVA → paste rm_longitudinal_minuteplot.csv (conditions T1–T3 down the rows, subjects S1–S8 across; pairing by column).
• α = 0.05 → Confirm and Analyze; Mauchly’s test and the Greenhouse–Geisser correction are reported automatically.

In R:

• Install once: install.packages(c("ez")); then run rm_anova.R top to bottom (source it, or paste it into the console) with the R data file in the same folder.
• R 4.5.2 and the package versions in the page header; each script prints the versions it runs under.

The analysis:

• Model: one within-subject factor (time, 3 levels), every subject measured under every level; MinutePlot fits the univariate repeated-measures ANOVA -- the same F as R’s aov(value ~ time + Error(subject/time)) -- not a mixed model.
• Assumptions: Mauchly’s test of sphericity is reported; MinutePlot reports the uncorrected p and the Greenhouse–Geisser (and Huynh–Feldt) corrected p and applies the correction when sphericity is rejected (R reference for the correction: the same ε as ez::ezANOVA / afex report). α = 0.05.

Side-by-side results

Within-subject effect of time

Mauchly’s sphericity test

Verdict

R script

rm_anova.R — each script loads its data, prints its versions and the R-side tables shown above, in page order; no plotting.