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mont4e_sm_ch13_sec04 - Section 13-4 13-32 a Analysis of...

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Section 13-4 13-32. a) Analysis of variance for Glucose Source DF SS MS F P Time 1 36.13 36.125 0.06 0.819 Min 1 128.00 128.000 0.21 0.669 Error 5 3108.75 621.750 Total 7 3272.88 No, there is no effect of exercise time on the average blood glucose. b) P-value = 0.819 c) The normal probability plot and the residual plots show that the model assumptions are reasonable. Residual Percent 50 25 0 -25 -50 99 90 50 10 1 Fitted Value Residual 110 105 100 20 0 -20 -40 Residual Frequency 20 10 0 -10 -20 -30 -40 3 2 1 0 Observation Order Residual 8 7 6 5 4 3 2 1 20 0 -20 -40 Normal Probability Plot of the Residuals Residuals Versus the Fitted Values Histogram of the Residuals Residuals Versus the Order of the Data Residual Plots for Glucose 13-33. a) Analysis of Variance for SHAPE Source DF SS MS F P NOZZLE 4 0.102180 0.025545 8.92 0.000 VELOCITY 5 0.062867 0.012573 4.39 0.007 Error 20 0.057300 0.002865 Total 29 0.222347 Reject H 0 , nozzle type affects shape measurement. 13-24
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28.74 23.46 20.43 16.59 14.37 11.73 1.15 1.05 0.95 0.85 0.75 VELOCITY SHAPE 5 4 3 2 1 1.15 1.05 0.95 0.85 0.75 NOZZLE SHAPE b) Fisher's pairwise comparisons Family error rate = 0.268 Individual error rate = 0.0500 Critical value = 2.060 Intervals for (column level mean) - (row level mean) 1 2 3 4 2 -0.15412 0.01079 3 -0.20246 -0.13079 -0.03754 0.03412 4 -0.24412 -0.17246 -0.12412 -0.07921 -0.00754 0.04079 5 -0.11412 -0.04246 0.00588 0.04754 0.05079 0.12246 0.17079 0.21246 There are significant differences between levels 1 and 3, 4; 2 and 4; 3 and 5; and 4 and 5. c) The residual analysis shows that there is some inequality of variance. The normal probability plot is acceptable.
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