In a two-way ANOVA on the surface, the relate in an equation the total variation, , where i=1,2,…,a and j=1,2,…,b; the explained variation by the "treatment" or first factor is , the explained variation by the "block" or second factor is and the unexplained variation .
SST= SSA+SSB +SSE
Degrees of freedom N-1 a-1 b-1 (a-1)(b-1) N=ab
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Null hypothesis of a one-way ANOVA is that the means are equal. Alternate hypothesis a one-way ANOVA is that at least one of the means are different.
ANOVA is an inferential statistic used to test if 3 or more population means are equal or to test the affects of interactions.
Yes, in fact, that is one of ANOVA's chief uses.
The abbreviation ANOVA stands for analysis of variance. It is used for carrying out comparative analysis of the statistical methods to determine if there is any relationship between data points.
Explain DOE interms of ANOVA