Normal Plot of the Effects (response is Mean free height, Alpha = 0.05)

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Transcription:

Percent Normal Plot of the Effects (response is Mean free height, lpha = 5) 99 95 Effect Type Not Significant Significant 90 80 70 60 50 40 30 20 E F actor C D E Name C D E 0 5 E -0.3-0. Effect 0. 0.3 Lenth's PSE = 59375 Factorial Fit: Mean free height versus ; ; C; D; E Estimated Effects and Coefficients for Mean free height (coded units) Term Effect Coef Constant 7.6256 42 0-0.638-89 C -496-248 D 92 456 E 387-0.94 * -296-48 *C 03 006 *D -229-5 *E 637 39 *E 0.529 765 C*E -329-65 D*E 396 98 **E 02 00 *C*E 96 098 *D*E -596-298 S = * PRESS = * nalysis of Variance for Mean free height (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 5 0.62820 0.62820 2564 * * 3447 3447 3447 * * 0.07256 0.07256 0.07256 * * C 09834 09834 09834 * *

D 33306 33306 33306 * * E 28006 28006 28006 * * 2-Way Interactions 7 5999 5999 8000 * * * 0350 0350 0350 * * *C 00006 00006 00006 * * *D 020 020 020 * * *E 6256 6256 6256 * * *E 93534 93534 93534 * * C*E 04334 04334 04334 * * D*E 06267 06267 06267 * * 3-Way Interactions 3 5752 5752 0525 * * **E 0007 0007 0007 * * *C*E 0534 0534 0534 * * *D*E 420 420 420 * * Error 0 * * * Total 5 0.754572

Factorial Fit: Mean free height versus ; ; C; D; E Estimated Effects and Coefficients for Mean free height (coded units) Term Effect Coef SE Coef T P Constant 7.6256 82 420.95 00 42 0 82 6.68 07-0.638-89 82-4.52 20 C -496-248 82 -.37 65 D 92 456 82 2.52 86 E 387-0.94 82-6.59 07 * -296-48 82-0.82 0.474 *C 03 006 82 3 0.975 *D -229-5 82-0.63 0.572 *E 637 39 82.76 0.77 *E 0.529 765 82 4.22 24 C*E -329-65 82-0.9 0.43 D*E 396 98 82.09 0.354 S = 72467 PRESS = 4.99482 R-Sq = 97.9% R-Sq(pred) = 0% R-Sq(adj) = 89.56% nalysis of Variance for Mean free height (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 5 0.62820 0.62820 2564 23.34 3 3447 3447 3447 44.65 07 0.07256 0.07256 0.07256 20.43 20 C 09834 09834 09834.87 65 D 33306 33306 33306 6.34 86 E 28006 28006 28006 43.42 07 2-Way Interactions 7 5999 5999 8000 3.43 0.70 * 0350 0350 0350 0.67 0.474 *C 00006 00006 00006 0 0.975 *D 020 020 020 0.40 0.572 *E 6256 6256 6256 3.0 0.77 *E 93534 93534 93534 7.8 24 C*E 04334 04334 04334 0.83 0.43 D*E 06267 06267 06267.9 0.354 Error 3 5752 5752 0525 Total 5 0.754572 Mean free Obs StdOrder height Fit SE Fit St Resid 7.79000 7.7704 6532 896 0.60 2 2 8.07000 8.02938 6532 4062.29 3 3 7.52000 7.55854 6532-3854 -.23 4 4 7.63333 7.65437 6532-204 -0.67 5 5 7.80667 7.8277 6532-204 -0.67 6 6 7.94667 7.9852 6532-3854 -.23 7 7 7.50667 7.46604 6532 4063.29 8 8 7.68667 7.6677 6532 896 0.60 9 9 7.29000 7.30896 6532-896 -0.60 0 0 7.73333 7.77396 6532-4062 -.29 7.52000 7.4846 6532 3854.23 2 2 7.64667 7.62562 6532 204 0.67 3 3 7.40000 7.37896 6532 204 0.67 4 4 7.62333 7.58479 6532 3854.23 5 5 7.20333 7.24396 6532-4062 -.29 6 6 7.63333 7.65229 6532-896 -0.60

Frequency Percent Plots for Mean free height 99 Normal Probability Plot 50 Versus Fits 90 25 50 00 0-25 -8-4 0 4 8-50 7.2 7.4 7.6 7.8 Fitted Value 8.0 4 Histogram 50 Versus Order 3 2 25 00-25 0-4 -2 0 2 4-50 2 3 4 5 6 7 8 9 0 2 3 Observation Order 4 5 6

Percent Normal Plot of the Effects (response is Range, lpha = 5) 99 95 90 80 70 60 50 40 30 20 0 DE Effect Type Not Significant Significant F actor C D E Name C D E 5 CE -0.5-0.0-5 0 Effect 5 0.0 0.5 Lenth's PSE = 50625 Term Effect Coef Constant 937 0.375 5688 625-632 C 2625 33 D 625 3062 E -375-0687 * 4375 288 *C -3375-688 *D 3625 82 *E -0375-088 *E 625 082 C*E -0.3625-682 D*E -225-063 **E 325 562 *C*E 4875 2437 *D*E 0.3875 6937 S = * PRESS = * nalysis of Variance for Range (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 5 0.3403 0.3403 268063 * * 5756 5756 57563 * * 63756 63756 637562 * * C 02756 02756 027563 * * D 5006 5006 50062 * * E 00756 00756 007562 * *

2-Way Interactions 7 94644 94644 35205 * * * 07656 07656 076563 * * *C 04556 04556 045563 * * *D 05256 05256 052562 * * *E 00056 00056 000563 * * *E 0056 0056 00562 * * C*E 74256 74256 742562 * * D*E 0806 0806 08063 * * 3-Way Interactions 3 9049 9049 30396 * * **E 03906 03906 039062 * * *C*E 09506 09506 095062 * * *D*E 77006 77006 770062 * * Error 0 * * * Total 5 0.39094

Factorial Fit: Range versus ; ; C; D; E Estimated Effects and Coefficients for Range (coded units) Term Effect Coef SE Coef T P Constant 937 692 2.96 00 0.375 5688 692 3.36 5 625-632 692-3.73 0 C 2625 33 692 0.78 0.467 D 625 3062 692.8 0 E -375-0687 692-0.4 0.699 *D 3625 82 692.07 0.325 *D*E 0.3875 6937 692 4.0 06 **D*E -0.3625-682 692-4.03 07 *C*D*E 625 082 692 0.48 0.648 S = 676849 PRESS = 0.95467 R-Sq = 9.39% R-Sq(pred) = 38.74% R-Sq(adj) = 78.46% nalysis of Variance for Range (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 5 0.3403 0.3403 268063 5.85 26 5756 5756 57563.30 5 63756 63756 637562 3.92 0 C 02756 02756 027563 0.60 0.467 D 5006 5006 50062 3.28 0 E 00756 00756 007562 0.7 0.699 2-Way Interactions 05256 05256 052562.5 0.325 *D 05256 05256 052562.5 0.325 3-Way Interactions 77006 77006 770062 6.8 06 *D*E 77006 77006 770062 6.8 06 4-Way Interactions 2 7532 7532 376562 8.22 9 **D*E 74256 74256 742562 6.2 07 *C*D*E 0056 0056 00562 3 0.648 Error 6 27488 27488 04583 Total 5 0.39094 Obs StdOrder Range Fit SE Fit St Resid 30000 77500 5350-47500 -.5 2 2 0.300000 52500 5350 47500.5 3 3 60000 98750 5350-38750 -0.93 4 4 0.90000 0.5250 5350 38750 0.93 5 5 0.460000 0.403750 5350 56250.36 6 6 0.400000 0.456250 5350-56250 -.36 7 7 0000 97500 5350 22500 0.54 8 8 50000 72500 5350-22500 -0.54 9 9 0.380000 0.322500 5350 57500.39 0 0 0.440000 0.497500 5350-57500 -.39 60000 98750 5350-38750 -0.93 2 2 0.90000 0.5250 5350 38750 0.93 3 3 0000 98750 5350 2250 0.5 4 4 0.30000 0.5250 5350-2250 -0.5 5 5 70000 0.02500 5350-32500 -0.78 6 6 0.30000 77500 5350 32500 0.78

Frequency Percent Plots for Range 99 90 Normal Probability Plot 50 25 Versus Fits 50 00 0-0.0-5 0 5 0.0-25 -50 0. 0.3 Fitted Value 0.4 0.5 Histogram Versus Order 4 50 3 25 2 00 0-6 -4-2 0 2 4 6-25 -50 2 3 4 5 6 7 8 9 0 2 3 Observation Order 4 5 6

Factorial Fit: Range versus ; ; C; E Estimated Effects and Coefficients for Range (coded units) Term Effect Coef SE Coef T P Constant 937 948.26 00 0.375 5688 948 2.92 22 625-632 948-3.24 4 C 2625 33 948 0.67 0.522 E -375-0687 948-0.35 0.735 *C 3625 82 948 0.93 0.383 *E 625 082 948 0.42 0.689 C*E -0.3625-682 948-3.50 0 *C*E 0.3875 6937 948 3.56 09 S = 77936 PRESS = 22008 R-Sq = 86.68% R-Sq(pred) = 30.43% R-Sq(adj) = 7.46% nalysis of Variance for Range (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 4 0.9025 0.9025 297563 4.90 33 5756 5756 57563 8.53 22 63756 63756 637562 0.50 4 C 02756 02756 027563 0.45 0.522 E 00756 00756 007562 0.735 2-Way Interactions 3 80569 80569 268562 4.42 48 *C 05256 05256 052562 0.87 0.383 *E 0056 0056 00562 0.7 0.689 C*E 74256 74256 742562 2.23 0 3-Way Interactions 77006 77006 770062 2.69 09 *C*E 77006 77006 770062 2.69 09 Error 7 42494 42494 060705 Total 5 0.39094 Obs StdOrder Range Fit SE Fit St Resid 30000 0.0825 58435-7825 -.52 2 2 0.300000 2875 58435 7825.52 3 3 60000 6825 58435-0825 -0.6 4 4 0.90000 0.8875 58435 0825 0.6 5 5 0.460000 0.37325 58435 86875.69 6 6 0.400000 0.486875 58435-86875 -.69 7 7 0000 825 58435-0825 -0.6 8 8 50000 4875 58435 0825 0.6 9 9 0.380000 0.35325 58435 26875 0.52 0 0 0.440000 0.466875 58435-26875 -0.52 60000 6825 58435-0825 -0.6 2 2 0.90000 0.8875 58435 0825 0.6 3 3 0000 6825 58435 5875.0 4 4 0.30000 0.8875 58435-5875 -.0 5 5 70000 0.3325 58435-6325 -.22 6 6 0.30000 46875 58435 6325.22

Frequency Percent Plots for Range 99 Normal Probability Plot 0.0 Versus Fits 90 5 50 0 0-5 -0.0-5 0 5 0.0-0.0 0. 0.3 Fitted Value 0.4 0.5 6.0 Histogram 0.0 Versus Order 4.5 5 3.0 0.5-5 -8-4 0 4 8-0.0 2 3 4 5 6 7 8 9 0 2 Observation Order 3 4 5 6

Percent Normal Plot of the Effects (response is Standard deviation, lpha = 5) 99 95 DE Effect Type Not Significant Significant 90 80 70 60 50 40 30 20 F actor C D E Name C D E 0 5 CE -8-6 -4-2 0 Effect 2 4 6 8 Lenth's PSE = 23279 Factorial Fit: Standard deviation versus ; ; C; D; E Estimated Effects and Coefficients for Standard deviation (coded units) Term Effect Coef Constant 0.744 6259 329-749 -3574 C 057 0528 D 3536 768 E -0684-0342 * 540 0770 *C -285-093 *D 906 0953 *E -0329-065 *E 0877 0438 C*E -748-3574 D*E -0468-0234 **E 556 0778 *C*E 997 0999 *D*E 7643 3822 S = * PRESS = * nalysis of Variance for Standard deviation (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 5 47479 47479 083496 * * 56698 56698 56698 * * 204425 204425 204425 * *

C 004466 004466 004466 * * D 05008 05008 05008 * * E 00872 00872 00872 * * 2-Way Interactions 7 2588 2588 035983 * * * 009483 009483 009483 * * *C 09098 09098 09098 * * *D 04533 04533 04533 * * *E 000433 000433 000433 * * *E 003074 003074 003074 * * C*E 204385 204385 204385 * * D*E 000875 000875 000875 * * 3-Way Interactions 3 259333 259333 086444 * * **E 009684 009684 009684 * * *C*E 05959 05959 05959 * * *D*E 233690 233690 233690 * * Error 0 * * * Total 5 928693 Standard SE St Obs StdOrder deviation Fit Fit Resid 732 732 * 00000 * 2 2 0.65227 0.65227 * 00000 * 3 3 3464 3464 * -00000 * 4 4 0.0244 0.0244 * 00000 * 5 5 38607 38607 * -00000 * 6 6 22785 22785 * 00000 * 7 7 60 60 * -00000 * 8 8 5033 5033 * -00000 * 9 9 0.9332 0.9332 * 00000 * 0 0 54034 54034 * 00000 * 3464 3464 * 00000 * 2 2 96090 96090 * -00000 * 3 3 69282 69282 * 00000 * 4 4 65064 65064 * 00000 * 5 5 4045 4045 * -00000 * 6 6 0.59478 0.59478 * 00000 *

Factorial Fit: Standard deviation versus ; ; C; E Estimated Effects and Coefficients for Standard deviation (coded units) Term Effect Coef SE Coef T P Constant 0.744 09708 2.0 00 6259 329 09708 3.22 5-749 -3574 09708-3.68 08 C 057 0528 09708 0.54 0.603 E -0684-0342 09708-0.35 0.735 *C 906 0953 09708 0.98 0.359 *E 0877 0438 09708 0.45 0.665 C*E -748-3574 09708-3.68 08 *C*E 7643 3822 09708 3.94 06 S = 3883 PRESS = 55445 R-Sq = 88.63% R-Sq(pred) = 40.62% R-Sq(adj) = 75.65% nalysis of Variance for Standard deviation (coded units) Source DF Seq SS dj SS dj MS F P Main Effects 4 367462 367462 09865 6.09 20 56698 56698 56698 0.39 5 204425 204425 204425 3.56 08 C 004466 004466 004466 0.30 0.603 E 00872 00872 00872 0.735 2-Way Interactions 3 22992 22992 073997 4.9 38 *C 04533 04533 04533 0.96 0.359 *E 003074 003074 003074 0 0.665 C*E 204385 204385 204385 3.55 08 3-Way Interactions 233690 233690 233690 5.50 06 *C*E 233690 233690 233690 5.50 06 Error 7 05550 05550 05079 Total 5 928693 Standard Obs StdOrder deviation Fit SE Fit St Resid 732 59979 2923-42658 -.66 2 2 0.65227 2569 2923 42658.66 3 3 3464 37098 2923-02457 -0.0 4 4 0.0244 99687 2923 02457 0.0 5 5 38607 0.9940 2923 39206.53 6 6 22785 699 2923-39206 -.53 7 7 60 6772 2923-0067 -3 8 8 5033 4362 2923 0067 3 9 9 0.9332 0.92288 2923 00844 3 0 0 54034 54878 2923-00844 -3 3464 3407 2923 00570 2 2 2 96090 96660 2923-00570 -2 3 3 69282 35878 2923 33404.30 4 4 65064 98468 2923-33404 -.30 5 5 4045 68652 2923-28237 -.0 6 6 0.59478 0.324 2923 28237.0

Frequency Percent Plots for Standard deviation 99 Normal Probability Plot 50 Versus Fits 90 25 50 00 0-25 -50-25 00 25 50-50 5 0.0 0.5 0 Fitted Value 5 8 Histogram 50 Versus Order 6 4 2 25 00-25 0-4 -2 0 2 4-50 2 3 4 5 6 7 8 9 0 2 3 Observation Order 4 5 6

Frequency Percent Plots for Free height 99 90 Normal Probability Plot 0. Versus Fits 50 0-0. -0. 0. 7.2 7.4 7.6 7.8 Fitted Value 8.0 Histogram Versus Order 2 9 0. 6 3-0. 0-0. 0. 5 0 5 20 25 30 35 Observation Order 40 45 s Versus (response is Free height) 0. -0. -0.3 -.0-0.5 0.5.0

s Versus (response is Free height) 0. -0. -0.3 -.0-0.5 0.5.0 s Versus C (response is Free height) 0. -0. -0.3 -.0-0.5 C 0.5.0

s Versus D (response is Free height) 0. -0. -0.3 -.0-0.5 D 0.5.0 s Versus E (response is Free height) 0. -0. -0.3 -.0-0.5 E 0.5.0