RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

ANALYSIS OF VARIANCE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Select all of the following that are assumptions about ANOVA?
A
The populations from which the samples were obtained must be normally or approximately normally distributed.
B
The samples must be independent of one another.
C
The variances of the populations must be equal.
D
The groups must be equal in sample size.
Explanation: 

Detailed explanation-1: -ANOVA assumes that the data is normally distributed. The ANOVA also assumes homogeneity of variance, which means that the variance among the groups should be approximately equal. ANOVA also assumes that the observations are independent of each other.

Detailed explanation-2: -To use the ANOVA test we made the following assumptions: Each group sample is drawn from a normally distributed population. All populations have a common variance. All samples are drawn independently of each other.

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