Run a classical one-way ANOVA from raw independent groups. Get the ANOVA table, F statistic, upper-tail p-value and eta squared.
How to use this tool
- Choose the event or model and review the assumptions below.
- Enter the labeled inputs. Probability inputs are percentages from 0 to 100, not decimal fractions.
- Select Calculate and read the labeled outputs.
- Change an input and calculate again; Reset restores the example inputs.
Calculation method
F = [SS_between / (g−1)] / [SS_within / (N−g)]. The p-value is the upper-tail F probability.
Assumptions and limits
Classical one-way fixed-effects ANOVA for independent groups, at least two observations per group. Assumes independent errors, suitable residual normality and equal population variances. No repeated-measures, factorial, Welch or post-hoc test is implied.
Worked example
Enter the three lines 1,2,3; 4,5,6; and 7,8,9, using actual line breaks between groups. Between-group SS is 54 and within-group SS is 6. Dividing by degrees of freedom 2 and 6 gives mean squares 27 and 1, so F = 27. The upper-tail p-value is 0.001. This global result does not identify which pairs differ; the data-preparation and interpretation guides below explain the next checks.
Worked reading and practical questions
- Prepare Independent Groups for One-Way ANOVA
- Read an ANOVA Result: P-Value, Effect Size and the Next Comparison
Browse Statistics calculators or explore other tools on the GreenCalc homepage.
Frequently asked questions
What does this calculator assume?
Classical one-way fixed-effects ANOVA for independent groups, at least two observations per group. Assumes independent errors, suitable residual normality and equal population variances. No repeated-measures, factorial, Welch or post-hoc test is implied.
How do I enter and update the inputs?
Use the labeled fields, then select Calculate. Percent fields use 0 to 100. After editing, calculate again; Reset restores the example inputs.