Question
Download Solution PDFIn a two-way ANOVA table
Source of Variation | Degree of Freedom | Sum of square | Mean sum of squares | F |
Due to Level A | 2 | 294 | 147 | FA |
Due to Level B | 2 | 6 | 3 | FB |
Due to error | 4 | 12 | 3 | |
Total | x | 312 |
the value of x, FA, FB are:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFX is degrees of freedom for the total source of variation. To find the degrees pf freedom use the formula,
N - 1 = ( number of levels in Factor A ) * ( number of levels of Factor B) - 1
N = 3*3 - 1
N = 8
Thus, the value of 8
The FA is calculated using the below formula,
\(F_a = \frac{MSS}{MSW}\\ F_a = \frac{147}{3}\\ F_a = 49\)
The FB is calculated using the below formula,
\(F_b = \frac{MS_b}{MS_w}\\ F_b = \frac{3}{3}\\ F_b = 1 \)
The correct option is option 3) (8, 49,1)
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