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

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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