RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

ANALYSIS OF VARIANCE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
ANOVA is used to compare the differences in ____ for more than 2 populations
A
variances
B
means
C
regression
D
None of the above
Explanation: 

Detailed explanation-1: -For a comparison of more than two group means the one-way analysis of variance (ANOVA) is the appropriate method instead of the t test. As the ANOVA is based on the same assumption with the t test, the interest of ANOVA is on the locations of the distributions represented by means too.

Detailed explanation-2: -Analysis of Variance (ANOVA) is a statistical formula used to compare variances across the means (or average) of different groups. A range of scenarios use it to determine if there is any difference between the means of different groups.

Detailed explanation-3: -In particular, ANOVA tests whether several populations have the same mean by comparing how far apart the sample means are with how much variation there is within the sample.

Detailed explanation-4: -Analysis of variance (ANOVA) is a hypothesis test used to test for statistically significant differences between the means of three or more groups. The test statistic for ANOVA is an F statistic. It is essentially a ratio of between-group variation to within-group variation.

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