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ANOVA An "Analysis of Variance" (ANOVA) tests three or more groups for mean differences based on a continuous (i.e. scale or interval) response variable (a.k.a. dependent variable). There are two main types of ANOVA: (1) "one-way" ANOVA compares levels (i.e. groups) of a single factor based on single continuous response variable (e.g. comparing test score by 'level of education') (2) a "two-way" ANOVA compares levels of two or more factors for mean differences on a single continuous response variable(e.g. comparing test score by both 'level of education' and 'zodiac sign'). One-way ANOVA has one continuous response variable (e.g. Test Score) compared by three or more levels of a factor variable (e.g. Level of Education). Two-way ANOVA has one continuous response variable (e.g. Test Score) compared by more than one factor variable (e.g. Level of Education and Zodiac Sign). ANCOVA The obvious difference between ANOVA and ANCOVA is the the letter "C", which stands for 'covariance'. Like ANOVA, "Analysis of Covariance" (ANCOVA) has a single continuous response variable. Unlike ANOVA, ANCOVA compares a response variable by both a factor and a continuous independent variable (e.g. comparing test score by both 'level of education' and 'number of hours spent studying'). ANCOVA is also commonly used to describe analyses with a single response variable, continuous IVs, and no factors. Such an analysis is also known as a regression. ANCOVA compares a continuous response variable (e.g. Test Score) by levels of a factor variable (e.g. Level of Education), controlling for a continuous covariate (e.g. Number of Hours Spent Studying).
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