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📈 One-Way ANOVA
Are the means of multiple groups significantly different? Three machines / three shifts / three suppliers — compare at a glance
One group per line, values within a group separated by space / comma / Tab / semicolon. You can put a group name at the start of the line (e.g. "Machine A"), or leave it blank (auto-named Group 1/Group 2…). Typical use: compare the same dimension measured on three machines, three shifts, or multiple suppliers; also useful for verifying whether a process parameter change had an effect. Recommended ≥5 values per group, 2–10 groups.
Paste grouped data (one group per line)
How to understand ANOVA?
· It answers one question: which is larger — between-group variation (caused by the factor) or within-group variation (random error)? F = Between-group MS ÷ Within-group MS; the larger F is, the less likely the difference is random
· p < 0.05 = significant difference: at least one group differs from the others (but not every pair differs); p ≥ 0.05 = insufficient evidence, don't rush to adjust the process
· Assumptions: each group approximately normal (check with "Normality Test" first), variances roughly equal (rule of thumb: max group std dev ÷ min group std dev < 3 is acceptable), independent samples
· For two groups, the F-test is mathematically equivalent to the equal-variance two-sample t-test (F=t²); this tool works directly
· For only two groups, or to dig into which pairs differ, pair with the two-sample t in "Hypothesis Testing"; to visualize distribution shapes, use the "Box Plot" tool
· p < 0.05 = significant difference: at least one group differs from the others (but not every pair differs); p ≥ 0.05 = insufficient evidence, don't rush to adjust the process
· Assumptions: each group approximately normal (check with "Normality Test" first), variances roughly equal (rule of thumb: max group std dev ÷ min group std dev < 3 is acceptable), independent samples
· For two groups, the F-test is mathematically equivalent to the equal-variance two-sample t-test (F=t²); this tool works directly
· For only two groups, or to dig into which pairs differ, pair with the two-sample t in "Hypothesis Testing"; to visualize distribution shapes, use the "Box Plot" tool
About ANOVA Calculator
One-way ANOVA calculator: splits total variation into between- and within-group sums of squares, outputs F, p-value and conclusion, with homogeneity checks.
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