Question

For any analysis of variance the total error component is a addition of _________ and ________
Options
a. Treatment Variance + Error Variance
b. Treatment Variance + Grand Variance
c. Within group variance + Error variance
d. Treatment variance + Between group variance

Answer 1

Explanation:

Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among means in a sample. ANOVA was developed by the statistician Ronald Fisher. The ANOVA is based on the law of total variance, where the observed variance in a particular variable is partitioned into components attributable to different sources of variation. In its simplest form, ANOVA provides a statistical test of whether two or more population means are equal, and therefore generalizes the t-test beyond two means.