Engineering Statistics Data Analysis

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3 80 77.1 2.9

3 61 77.1 -16.1

3 89 77.1 11.9

3 97 80.7 16.3

3 98 80.7 17.3

3 79 80.7 -1.7

3 60 80.7 -20.7

3 84 80.7 3.3

3 58 80.7 -22.7

3 79 80.7 -1.7

3 86 80.7 5.3

3 91 80.7 10.3

3 75 80.7 -5.7

4 44 63.8 -19.8

4 59 63.8 -4.8

4 47 63.8 -16.8

4 60 63.8 -3.8

4 79 63.8 15.2

4 62 63.8 -1.8

4 73 63.8 9.2

4 64 63.8 0.2

4 69 63.8 5.2

4 81 63.8 17.2

4 70 79.9 -9.9

4 80 79.9 0.1

4 78 79.9 -1.9

4 72 79.9 -7.9

4 71 79.9 -8.9

4 75 79.9 -4.9

4 101 79.9 21.1

4 81 79.9 1.1

4 87 79.9 7.1

4 84 79.9 4.1

4 85 90.1 -5.1

4 83 90.1 -7.1

4 94 90.1 3.9

4 89 90.1 -1.1

4 77 90.1 -13.1

4 100 90.1 9.9

4 92 90.1 1.9

4 102 90.1 11.9

4 93 90.1 2.9

4 86 90.1 -4.1

5 84 79.8 4.2

5 67 79.8 -12.8

5 99 79.8 19.2

5 85 79.8 5.2

5 73 79.8 -6.8

5 74 79.8 -5.8

5 76 79.8 -3.8

5 82 79.8 2.2

5 79 79.8 -0.8

5 79 79.8 -0.8

5 87 83.2 3.8

5 100 83.2 16.8

5 83 83.2 -0.2

5 82 83.2 -1.2

5 93 83.2 9.8

5 76 83.2 -7.2

5 87 83.2 3.8

5 76 83.2 -7.2

5 70 83.2 -13.2

5 78 83.2 -5.2

5 84 86.2 -2.2

5 95 86.2 8.8

5 82 86.2 -4.2

5 74 86.2 -12.2

5 97 86.2 10.8

5 87 86.2 0.8

5 80 86.2 -6.2

5 76 86.2 -10.2

5 91 86.2 4.8

5 96 86.2 9.8

- Analyze the residuals from this experiment. If outliers are found identify from which treatment they come from.

[pic 5][pic 4]

We found Outliers from NPP,VF and VO graphs. They are at row 2,23, 42, 84, 86,107.

Accordingly, they are from treatment of (cold for d1, hot from d1, warm from d2, hot from d3, hot from d3, warm from d4)

- Conclude about ANOVA assumptions (use pvalues from appropiate tests)

Factor Information

Factor Type Levels Values

C8 Fixed 5 1, 2, 3, 4, 5

C7 Fixed 3 Cold, Hot, Warm

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value

C8 4 2967 741.9 6.72 0.000

C7 2 3937 1968.5 17.82 0.000

C8*C7 8 2452 306.5 2.78 0.007

Error 135 14910 110.4

Total 149 24267

Fits and Diagnostics for Unusual Observations

Obs C9 Fit Resid Std Resid

2 87.00 60.30 26.70 2.68 R

23 57.00 80.70 -23.70 -2.38 R

42 47.00 70.10 -23.10 -2.32 R

84 60.00 80.70 -20.70 -2.08 R

86 58.00 80.70 -22.70 -2.28 R

107 101.00 79.90 21.10 2.12 R

R Large residual

Means

Fitted

Term Mean SE Mean

C8

1 69.57 1.92

2 74.17 1.92

3 77.07 1.92

4 77.93 1.92

5 83.07 1.92

C7

Cold 70.50 1.49

Hot

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