In 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:

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2021 Official Paper ( Held On: 10 August 2022 )
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  1. (8, 49, 3)
  2. (9, 49, 3)
  3. (8, 49, 1)
  4. (9, 49, 1)

Answer (Detailed Solution Below)

Option 3 : (8, 49, 1)
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Detailed Solution

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X 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, 

The FB is calculated using the below formula, 

The correct option is  option 3) (8, 49,1)

 

 

 

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