One-way Analysis of Variance (ANOVA) - 4 Groups
=a+b+c+d-(((T1)+(T2)+(T3)+(T4))2(n1)+(n2)+(n3)+(n4)-((a-((T1)2n1))+(b-((T2)2n2))+(c-((T3)2n3))+(d-((T4)2n4))))3/((a-((T1)2n1))+(b-((T2)2n2))+(c-((T3)2n3))+(d-((T4)2n4)))n1+n2+n3+n4-4)
Number of groups | ||
Sample size 1 | ||
Sum of values in factor 1 | ||
Sum of squared values in factor 1 | ||
Sample size 2 | ||
Sum of values in factor 2 | ||
Sum of squared values in factor 2 | ||
Sample size 3 | ||
Sum of values in factor 3 | ||
Sum of squared values in factor 3 | ||
Sample size 4 | ||
Sum of values in factor 4 | ||
Sum of squared values in factor 4 | ||
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Analysis of Variance (ANOVA) evaluates mean differences between two or more treatments or populations (Gravetter and Wallnau, 2013). Functionally, it performs the same kind of analysis as a t-test, but the advantage of an ANOVA is that an ANOVA can compare more than two groups at once, whereas a t-test is limited to two groups.
Changing Number of Groups
Below are variations on the ANOVA for different groups.
Computing Sum of Values and Sum of Squared Values
Below are various calculators that supply descriptive statistics for sets of data. It is compatible with groups between n=6 and n=12.
