How to Report ANOVA Results in APA Format

APA Reporting Template

Use this template to report your ANOVA results. Replace the bracketed placeholders with your values.

One-Way ANOVA

A one-way analysis of variance (ANOVA) was conducted to compare the effect of [independent variable] on [dependent variable] across [number] conditions: [list conditions]. There was a statistically significant difference between groups, F([df_between], [df_within]) = [F-value], p = [p-value], η2\eta^2 = [eta-squared]. Post-hoc comparisons using the [Tukey HSD / Bonferroni / Games-Howell] test indicated that [group 1] (M = [mean], SD = [SD]) was significantly different from [group 2] (M = [mean], SD = [SD]), p = [p-value]. However, [group 3] (M = [mean], SD = [SD]) did not significantly differ from [group 1] or [group 2].

One-Way ANOVA (Welch's Correction)

Because Levene's test indicated unequal variances, F([df1], [df2]) = [F-value], p = [p-value], a Welch ANOVA was conducted. Results showed a significant effect of [independent variable] on [dependent variable], F([df_between], [df_within]) = [F-value], p = [p-value], η2\eta^2 = [eta-squared]. Games-Howell post-hoc comparisons revealed that [describe pairwise differences].

Worked Example

Scenario: A researcher compared test anxiety scores across three therapy conditions: cognitive-behavioral therapy (n=30n = 30), mindfulness-based therapy (n=28n = 28), and a waitlist control (n=32n = 32).

Results:

  • CBT group: M=24.3,SD=6.1M = 24.3, SD = 6.1
  • Mindfulness group: M=27.8,SD=5.9M = 27.8, SD = 5.9
  • Waitlist control: M=34.5,SD=7.2M = 34.5, SD = 7.2
  • F(2,87)=18.46,p<.001,η2=.30F(2, 87) = 18.46, p < .001, \eta^2 = .30

APA Write-Up:

A one-way ANOVA was conducted to compare test anxiety scores across three therapy conditions (CBT, mindfulness, and waitlist control). There was a statistically significant difference between groups, F(2, 87) = 18.46, p < .001, η2\eta^2 = .30, indicating a large effect. Tukey HSD post-hoc comparisons revealed that the waitlist control group (M = 34.5, SD = 7.2) reported significantly higher anxiety than both the CBT group (M = 24.3, SD = 6.1), p < .001, and the mindfulness group (M = 27.8, SD = 5.9), p = .002. The CBT and mindfulness groups did not significantly differ from each other, p = .121.

Reporting Checklist

  • [ ] Named the type of ANOVA (one-way, factorial, repeated measures)
  • [ ] Stated the independent and dependent variables
  • [ ] Reported F with both degrees of freedom: F(df_between, df_within)
  • [ ] Reported the exact p-value (or p < .001)
  • [ ] Included an effect size (η2\eta^2 or partial η2\eta^2)
  • [ ] Interpreted the effect size (small = .01, medium = .06, large = .14)
  • [ ] Reported post-hoc test results with pairwise p-values
  • [ ] Named the post-hoc test used (Tukey HSD, Bonferroni, Games-Howell)
  • [ ] Reported group means and standard deviations
  • [ ] Mentioned assumption checks if relevant (Levene's test, normality)
  • [ ] Used italics for statistical symbols (F, p, M, SD)

Common Mistakes

  1. Omitting degrees of freedom — Always report both df_between and df_within. Write F(2, 87), not just F = 18.46.
  2. Skipping post-hoc comparisons — A significant omnibus F only tells you that at least one group differs. You must report which groups differ from which.
  3. Using the wrong post-hoc test — Use Tukey HSD for equal variances and equal group sizes, Bonferroni for a small number of planned comparisons, and Games-Howell when variances are unequal.
  4. Reporting η2\eta^2 as partial η2\eta^2 — These are different statistics. In one-way ANOVA they are identical, but in factorial designs they differ. Label them correctly.
  5. Writing "p = .000" — Write p < .001 instead.
  6. Forgetting effect size — APA 7th edition requires an effect size measure. Always report η2\eta^2 or partial η2\eta^2.

Non-Significant Results

If your ANOVA is not significant, still report all the same information:

A one-way ANOVA revealed no statistically significant difference in test anxiety scores across the three therapy conditions (CBT, mindfulness, and waitlist control), F(2, 87) = 1.24, p = .294, η2\eta^2 = .03. Descriptive statistics indicated that mean anxiety scores were similar for the CBT group (M = 31.2, SD = 6.8), mindfulness group (M = 30.5, SD = 7.1), and waitlist control (M = 33.0, SD = 6.4).

Do not run post-hoc tests when the omnibus F is not significant.

Results Table Format

For reporting group descriptive statistics and ANOVA results:

Group n M SD
CBT 30 24.3 6.1
Mindfulness 28 27.8 5.9
Waitlist Control 32 34.5 7.2

For post-hoc pairwise comparisons:

Comparison Mean Difference SE p 95% CI
CBT vs. Mindfulness -3.50 1.62 .121 [-7.36, 0.36]
CBT vs. Waitlist -10.20 1.55 < .001 [-13.89, -6.51]
Mindfulness vs. Waitlist -6.70 1.59 .002 [-10.48, -2.92]

Ready to calculate?

Now that you understand the concept, use the free Effect Size Calculator on Subthesis to run your own analysis.

Calculate Effect Size for Your ANOVA on Subthesis