The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 271, SSA = 22, SSB = 24, SSAB = 170. Set up the ANOVA table and test for any significant main effect and may interaction effect. use a= .05.
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 271, SSA = 22, SSB = 24, SSAB = 170. Set up the ANOVA table and test for any significant main effect and may interaction effect. use a= .05.
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From the given information, the values of sum of squares is , four levels of factor A, three levels of factor B, and three replications.
The error sum of squares is,
The degrees of freedom for factor A is,
The degrees of freedom for factor B is,
The degrees of freedom for interaction is,
The error degrees of freedom is,
The total degrees of freedom is,
The mean sum of squares for factor A is,
The mean sum of squares for factor B is,
The mean sum of squares for interaction A is,
The error mean sum of squares is,
The test statistic for factor A is,
The test statistic for factor B is,
The test statistic for interaction is,
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