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What are the differences between ANOVA and regression?
Posted August 17, 2022
Answer
ANOVA (Analysis of Variance) and regression are two very similar types of statistical models with only a few differences between them.
| Basis of Differentiation | ANOVA | Regression |
| Definition | Is a statistical technique used to determine if there are any statistical differences between the means of three or more independent groups | Is a statistical technique used to determine the relationship between one dependent variable and two or more independent variables |
| What the test is based on | Is based on one or more categorical predictor variables | Is based on one or more continuous predictor variables |
| What the test focuses on | Focuses on random variables | Focuses on fixed or independent or continuous variables |
| When the test is used | Is used when the predictor variables are categorical | Is used when the predictor variables are continuous |
| Order of performing the test | Is the initial test for identifying factors that can influence a data test | ANOVA test results are used in F-test on the relevance of the regression formula |
| Waht the test is used for | Is mainly used to determine whether or not data from various groups have a common mean | Is mainly used for making estimates or predictions based on the dependent variable |
| Number of models | Has three models: Fixed effect; Random Effect; Mixed Effect | Has two models: Linear regression；Multiple regression |
| Error terms associated with the test | Can have several error terms | Has only one error term |
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