STATISTICAL TECHNIQUES AND TOOLS
ANALYSIS OF VARIANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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In a one-way ANOVA, how many degrees of freedom exist for the F-test? (k represents the number of groups)
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(Nk-1) and (N-1)
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(k-1) and (N-k)
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(N-1) and (N-k)
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(k-N) and (N-k)
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Explanation:
Detailed explanation-1: -Degrees of freedom is your sample size minus 1. As you have two samples (variance 1 and variance 2), you’ll have two degrees of freedom: one for the numerator and one for the denominator.
Detailed explanation-2: -In a One-way ANOVA with a samples (i.e., treatment groups) and there are n observations in total among the a samples, the degrees of freedom are: For total SS: n – 1. For SStr: a – 1. For SSE: n-a.
Detailed explanation-3: -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.
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