SME
Grade 12 Math · Problem type
Which test fits the question?
Use this for “Do the mean scores of three classes differ? Which test do you use?”
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What is compared: means of groups, counts in a table, or a line through pairs?
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Assumptions
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Means of three or more groups: one-way ANOVA. Means of exactly two groups: a two-sample t-test.
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Two categorical variables in a table: a chi-square test of independence.
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Two quantitative variables with a straight-line pattern: a t-test for the slope.
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Related lessons
Analysis of variance (ANOVA) and the F distribution
Main lesson
Three groups from their means and SDs
Use this for “Three groups of 5 have means 10, 14 and 12 and SDs 2, 3 and 2. Do the means differ?”
Comparing two variances
Use this for “Two samples of 16 have SDs 6 and 4. Are the population variances different?”