RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

ANALYSIS OF VARIANCE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the formula in finding the degree of freedom within in ANOVA?
A
df between = k-1
B
df between = N-k
C
df between = k-N
D
None of the above
Explanation: 

Detailed explanation-1: -The degrees of freedom is equal to the sum of the individual degrees of freedom for each sample. Since each sample has degrees of freedom equal to one less than their sample sizes, and there are k samples, the total degrees of freedom is k less than the total sample size: df = N-k.

Detailed explanation-2: -The degrees of freedom are defined as follows: df1 = k-1 and df2=N-k, where k is the number of comparison groups and N is the total number of observations in the analysis.

Detailed explanation-3: -ANOVA Formula The formula for Analysis of Variance is: ANOVA coefficient, F= Mean sum of squares between the groups (MSB)/ Mean squares of errors (MSE).

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