When should you use ANOVA instead of multiple t-tests?

Use ANOVA when comparing 3+ groups. Multiple t-tests inflate Type I error: 3 groups with 3 t-tests at alpha=0.05 each gives 14% overall error rate vs 5% for ANOVA. ANOVA tests overall H0 (all means equal) in one test. If significant, use Tukey HSD for pairwise comparisons with family-wise error control.

What are the assumptions of ANOVA?

ANOVA assumes: normality of residuals (use Shapiro-Wilk), homogeneity of variance (use Levene test), and independence of observations. For violations: Welch ANOVA handles unequal variances. Kruskal-Wallis is the non-parametric alternative. With > 30 per group, ANOVA is robust to normality violations.

ANOVA F-Statistic Calculator

Calculate one-way ANOVA F-statistic to test whether group means differ significantly. Determine whether to proceed with post-hoc pairwise comparisons.

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How to Use

Enter the values for the patient or scenario you are assessing. Calculate one-way ANOVA F-statistic to test whether group means differ significantly. Determine whether to proceed with post-hoc pairwise comparisons. Use the anova f-statistic result to inform your clinical assessment.

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ANOVA F-Statistic Calculator

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Frequently Asked Questions

When should you use ANOVA instead of multiple t-tests?

What are the assumptions of ANOVA?