Notes on ANOVA (Analysis of Variance) Introduction to ANOVA: - Definition: Analysis of Variance (ANOVA) is a statistical technique used to compare means across multiple groups or treatments. It assesses whether there are significant differences in the means of two or more independent groups. - Purpose: ANOVA helps determine whether the variability between groups is greater than the variability within groups, providing insights into the presence of significant group differences. - Assumptions: - Independence of observations: Observations within each group are independent of each other. - Normality: The data within each group are normally distributed. - Homogeneity of variances: The variance within each group is approximately equal across all groups. Types of ANOVA: 1. One-Way ANOVA: - Description: One-way ANOVA is used when there is one categorical independent variable with three or more levels (groups), and the dependent variable is c...
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