Repeated-measures ANOVA: a worked example

When the same subjects are measured repeatedly — six plants, each measured on days 0, 7 and 14 — the measurements are not independent, and ordinary one-way ANOVA is the wrong tool: it treats 18 numbers as 18 unrelated observations. Repeated-measures ANOVA instead removes the differences between subjects first, then asks whether values change across time — which makes it considerably more powerful, because each plant serves as its own control.

The data

Leaf area (cm²) of six plants tracked over two weeks:

Timepoints
Day 0 Day 7Day 14
Plant 15.06.17.2
Plant 24.85.97.0
Plant 35.36.47.6
Plant 45.16.07.1
Plant 54.96.27.3
Plant 65.26.37.4

The repeated-measures layout: one row per subject, one column per timepoint — exactly how MinutePlot expects it.

The result

Time: F(2, 10) = 189.5, p < 0.001. The post-hoc letters separate all three timepoints — Day 0 (5.05, c), Day 7 (6.15, b), Day 14 (7.27, a): leaf area grew significantly in each week.

Bar chart of
leaf area over time with letters

Means across timepoints with letters — all three differ.

Report it like this

“Leaf area increased over time (repeated-measures ANOVA, F(2, 10) = 189.5, p < 0.001); all timepoints differed from one another (p < 0.05, letters in Fig. 1).”

Common pitfalls

Entering repeated data as if the groups were independent is the classic error — it discards the design’s power and can bias p-values in either direction. In MinutePlot, choose the repeated-measures layout so each row is a subject; the engine then handles the within-subject structure for you.

Try it yourself — in a minute. Paste the table above into MinutePlot, press Confirm and Analyze, and you will get this exact analysis and a publication-ready figure with the letters placed for you. Open MinutePlot in your browser — free 14-day trial, no card needed.
References
  1. Shapiro, S. S., & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3–4), 591–611. https://doi.org/10.1093/biomet/52.3-4.591
  2. Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). John Wiley & Sons.