ANOVA

Use the "Skulls" data:  3 samples
131 138 125 129 132 135 132 134 138
129 134 136 137 137 129 136 138 134
128 138 136 139 141 142 137 145 137

Does the list of their means seem to indicate any "outlier" samples? ___________

F=________      Critical value: α=0.05:________   Reject H0?:____

p_value=_______   Reject H0?:____

If you are rejecting H0, 
  what does the Scheffe test show as problem pairs: rows________  
  what does the Tukey test show as problem pairs:   rows________ 

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Use the "Exercise 1" data:  4 samples
29 31 35 33 26 32 21 26 25 34 26 34
32 28 26 23 25 26 19 29 26 20 22 22
27 32 39 27 31 26 34 30 34 26 24 31
24 31 31 25 30 39 22 33 34 35 29 26

Does the list of their means seem to indicate any "outlier" samples? ___________

F=________      Critical value: α=0.05:________   Reject H0?:____

p_value=_______   Reject H0?:____

If you are rejecting H0, 
  what does the Scheffe test show as problem pairs: rows________  and thus an "outlier" row?____
  what does the Tukey test show as problem pairs:   rows________  and thus an "outlier" row?____

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Use the "Exercise 2" data:  3 samples
8 7 7 7 8 8 6 8 8 7 7 8 8
7 8 7 7 5 8 5 8 7 6 6 6 6
4 9 6 7 9 8 5 8 7 5 4 5 4

Does the list of their means seem to indicate any "outlier" samples? ___________

F=________      Critical value: α=0.05:________   Reject H0?:____

p_value=_______   Reject H0?:____

If you are rejecting H0, 
  what does the Scheffe test show as problem pairs: rows________  
  what does the Tukey test show as problem pairs:   rows________  



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Use the "Clancy-Rowling-Tolstoy" data:  3 samples
58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9
85.3 84.3 79.5 82.5 80.2 84.6 79.2 70.9 78.6 86.2 74.0 83.7
69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6

Does the list of their means seem to indicate any "outlier" samples? ___________

F=________      Critical value: α=0.05:________   Reject H0?:____

p_value=_______   Reject H0?:____

If you are rejecting H0, 
  what does the Scheffe test show as problem pairs: rows________  and thus an "outlier" row?____
  what does the Tukey test show as problem pairs:   rows________  and thus an "outlier" row?____


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Use the "unequal-sized samples OK" data:  3 samples
10.99 9.72 11.29 13.04 9.53 9.53 13.15 11.53 9.06 11.08 9.07 9.06 10.48 6.17 6.55
10.59 9.46 12.78 9.72 8.46 15.66 11.43 12.16 8.43 10.63 12.27 9.12 12.93 10.49 11.27 10.49 16.63 11.96 9.35 14.05 8.94 12.52 7.1 8.67 12.49
13.2 11.5 10.6 10 6.5 8.8 9.6 14.1 12 5.7 11.9 9.8 8.9 12.8 14 13.7 8.4 10 11.9 13.9 9.5 10.4 7.6 7.4 13.4 15 10.7 14 12 9 12 15.6 10.8 15.6 3.1 13.4 11.2 10.1 11.2 5

Does the list of their means seem to indicate any "outlier" samples? ___________

F=________      Critical value: α=0.05:________   Reject H0?:____

p_value=_______   Reject H0?:____

If you are rejecting H0, 
  what does the Scheffe test show as problem pairs: rows________  and thus an "outlier" row?____
  what does the Tukey test show as problem pairs:   rows________  and thus an "outlier" row?____


Now include the 4th row:
11.85 8.54 9.71 9.38 8.94 8.13 7.92 8.95 8.35 4.85 5.34 8.73 6.66 9.86 6.57 9.24 3.69 6.67 11.36 14.19

Does the list of their 4 means seem to indicate any "outlier" samples? ___________

F=________      Critical value: α=0.05:________   Reject H0?:____

p_value=_______   Reject H0?:____

If you are rejecting H0, 
  what does the Scheffe test show as problem pairs: rows________  and thus an "outlier" row?____
  what does the Tukey test show as problem pairs:   rows________  and thus an "outlier" row?____