Hypothesis testing (ANCOVA)
• Null Hypothesis (Ho): There is no significant difference between treatment conditions in the Independent Variable on the Dependent Variable
• Ho: M1=M2=M3……=MK
• Alternative Hypothesis (Ha): There is significant difference between treatment conditions in the Independent Variable on the Dependent Variable
• Ha: Means are not equal
• M1=M2=M3……=MK =Means of the different groups
• Random Sample: There was no selection bias in forming the different groups.
• Normality: Assumes that here are no outliers in the performance of participants and skewness is near zero
• Homogeneity of variance (Levene’s test): the dependent variable must have equal variances. If Levene’s test is not significant, homogeneity of variances is met
• Independence Assumption: assumes that a particular person’s performance should not be influenced by confounds or other experimental groups.
• There is a linear relationship between the DV and covariates
• Covariate is reliable and measured without error
• A researcher is trying to investigate the effects of being in different academic programs (general, academic and vocational) on a students’ performance on the writing section of a standardized exam. The researcher uses the students’ performance on the reading section of a standardized exam as a covariate.
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This is in continuation with our previous Statistics article.