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STA408 Design and Analysis of Experiments GDB Fall 2021 Solution / Discussion

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STA408 GDB Fall 2021 solution idea:

 

Source of Variation

SS

df

MS

F calculated

Between Groups

155.2

4

38.80

11.18

Within Groups (Error)

52.0

15

3.47

 

Total

207.2

19

 

 

Solution:

 

SST + SSE = SS (Total)

SST + 52.0 = 207.2                          k – 1 = 4      n = 20       n – 1 = 20 – 1 = 19

SST = 155.2                                     k = 5             n – k = 20 – 5 = 15                                                                                                                                                                                                                   

MSE = SSE/(n - k) = 52.0/(20-15) = 3.5     

F = MST/MSE     = 38.8/3.5 = 11.1

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