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AAT Bioquest

What are the differences between T-test and ANOVA?

Posted August 17, 2022


Answer
Basic of DifferentiationT-testANOVA (analysis of variance)
DefinitionT test is a statistical hypothesis test used to determine whether or not there is a statistically significant difference between the means of two populations ANOVA is a statistical technique used to determine whether or not there is a statistically significant difference between the means of three or more populations 
When the test is usedIs used to compare the means of two groupsIs used to compare the means of three or more groups
Types of testsTwo types of t-tests:  Independent samples t-test and Paired samples t-testTwo types of ANOVA tests: One-way ANOVA and two-way ANOVA
PurposeUsed for pure hypothesis testing purposesUsed to examine standard deviations
Population sizeUsed when population is less than 30Used for larger populations 
Potential for errorLess likely to have errorsHigher risk of errors
Use of single-sided or double sided testCan be performed in a single-sided or double-sided testCan be performed only as a one-sided test because of no negative variance
Additional resources

t-Test and ANOVA for data with ceiling and/or floor effects

ANOVA Calculator

T-Test Calculator