Question

Question 33 2.5 pts Complete the following ANOVA summary table. Source Sum of Square d Mean Square F 71 Between groups Within groups Total 98 169 21 MS. - 23.667, MS. - 4.667, F... - 5.07 There is insufficient information given to complete this table MS. - 23 667, MS, - 7.042, F... - 3.36 MS. - 4.667, MS, - 7.042; F..- 1.51

Answer 1

Answer:

1st option is correct. i.e. MS(bw) = 23.667 , MS (within) = 4.667 , F(obt) = 5.07

$MS(between)=\frac{SS(between)}{df(between)} =\frac{71}{3} = 23.667$

$MS(within)=\frac{SS(within)}{df(within)} =\frac{98}{21} = 4.667$

To find the value of F we have formula:

$F = \frac{MS(between)}{MS(within)} = \frac{23.667}{4.667}=5.07113$

F = 5.07 ...rounded to 2 decimals.

To complete the ANOVA we dont need MS(total), So optio 3 and 4 containing MS(total) are wrong. Also 2nd option is not correct.