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DF 2 2 4 27 35

SS 10683.7 39118.7 9613.8 18230.7 77647.0

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DF 1 2 2 12 17

SS 355.6 27.4 1878.8 2242.7 4504.4

MS 355.6 13.7 939.4 186.9

F 1.90 0.07 5.03

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Source glasstyp phostype glasstyp*phostype Error Total

DF 1 2 2 12 17

SS 14450.0 933.3 133.3 633.3 16150.0

MS 14450.0 466.7 66.7 52.8

F 273.79 8.84 1.26

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Source furnacep temperat furnacep*temperat Error Total

DF 1 2 2 12 17

SS 7160 945342 818 5371 958691

MS F 7160 16.00 472671 1056.12 409 0.91 448

P 0.002 0.000 0.427

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Source DF SS frequenc 2 7.5702 environm 2 2.3576 frequenc*environm 4 3.5284 Error 27 0.2529 Total 35 13.7092 5HVLGXDOV9HUVXVHQYLURQP

F 522.40 159.92 126.89

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Fisher's pairwise comparisons Family error rate = 0.258 Individual error rate = 0.0500 Critical value = 2.131 Intervals for (column level mean) - (row level mean) 1 2 3 4 2 -4.9187 -3.6113 3 -6.6662 -2.4012 -5.3588 -1.0938 4 -6.9487 -2.6837 -0.9362 -5.6413 -1.3763 0.3712 5 -7.4787 -3.2137 -1.4662 -1.1837 -6.1713 -1.9063 -0.1588 0.1237 F 7KH FRQFOXVLRQV DUH WKH VDPH 6HFWLRQ

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Estimated Effects and Coefficients for score Term Effect Coef StDev Coef T Constant 175.250 0.5467 320.59 A 8.250 4.125 0.5467 7.55 B -10.375 -5.187 0.5467 -9.49 C 2.125 1.062 0.5467 1.94 D -0.375 -0.187 0.5467 -0.34 A*B -0.125 -0.063 0.5467 -0.11 A*C -0.625 -0.313 0.5467 -0.57 A*D 9.125 4.562 0.5467 8.35 B*C -0.250 -0.125 0.5467 -0.23 B*D 1.250 0.625 0.5467 1.14 C*D -1.250 -0.625 0.5467 -1.14 A*B*C -8.000 -4.000 0.5467 -7.32 A*B*D -9.250 -4.625 0.5467 -8.46 A*C*D -8.750 -4.375 0.5467 -8.00 B*C*D -8.625 -4.312 0.5467 -7.89 A*B*C*D -1.625 -0.812 0.5467 -1.49

P 0.000 0.000 0.000 0.070 0.736 0.910 0.575 0.000 0.822 0.270 0.270 0.000 0.000 0.000 0.000 0.157

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Estimated Effects and Coefficients for charge Term Effect Coef StDev Coef Constant -1.000 0.4462 cleanmet -5.593 -2.797 0.4462 testpos -1.280 -0.640 0.4462 cleanmet*testpos -1.220 -0.610 0.4462

T -2.24 -6.27 -1.43 -1.37

Analysis of Variance for charge Source DF Seq SS Main Effects 2 98.771 2-Way Interactions 1 4.465 Residual Error 8 19.110 Pure Error 8 19.110 Total 11 122.347

Adj MS 49.386 4.465 2.389 2.389

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Estimated Effects and Coefficients for inches Term Effect Coef Constant 35.938 factor_A -16.125 -8.063 factor_B 3.125 1.562 factor_C -1.125 -0.562 factor_D -1.125 -0.562 factor_A*factor_B -4.375 -2.187 factor_A*factor_C -0.625 -0.312 factor_A*factor_D -3.125 -1.562 factor_B*factor_C 1.625 0.812 factor_B*factor_D 0.125 0.063 factor_C*factor_D -0.625 -0.313 factor_A*factor_B*factor_C 0.625 0.313 factor_A*factor_B*factor_D -2.375 -1.188 factor_A*factor_C*factor_D -1.125 -0.563 factor_B*factor_C*factor_D -0.875 -0.437 factor_A*factor_B*factor_C *factor_D 0.125 0.063

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Term Constant factor_A factor_B factor_C factor_D factor_E factor_A*factor_B factor_A*factor_C factor_A*factor_D factor_A*factor_E factor_B*factor_C factor_B*factor_D factor_B*factor_E factor_C*factor_D factor_C*factor_E factor_D*factor_E

Effect 11.8125 33.9375 9.6875 -0.8125 0.4375 7.9375 0.4375 -0.0625 0.9375 0.0625 -0.6875 0.5625 0.8125 0.3125 -1.1875

Coef 30.5312 5.9063 16.9687 4.8437 -0.4063 0.2187 3.9687 0.2187 -0.0313 0.4687 0.0313 -0.3437 0.2813 0.4062 0.1563 -0.5938

StDev Coef 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786 0.2786

Analysis of Variance for yield Source DF Seq SS Main Effects 5 11087.9 2-Way Interactions 10 536.3 Residual Error 16 39.7 Total 31 11664.0

Adj SS 11087.9 536.3 39.7

T 109.57 21.20 60.90 17.38 -1.46 0.79 14.24 0.79 -0.11 1.68 0.11 -1.23 1.01 1.46 0.56 -2.13

P 0.000 0.000 0.000 0.000 0.164 0.444 0.000 0.444 0.912 0.112 0.912 0.235 0.328 0.164 0.583 0.049

Adj MS F 2217.58 892.61 53.63 21.59 2.48

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Estimated Effects and Coefficients for y Term Effect Coef Constant 414.58 factor_A 13.75 6.87 factor_B 127.75 63.87 factor_C 97.75 48.87 factor_A*factor_B -21.25 -10.62 factor_A*factor_C -137.25 -68.62 factor_B*factor_C -52.25 -26.13 factor_A*factor_B*factor_C -68.25 -34.12 Analysis of Variance for y Source DF Main Effects 3 2-Way Interactions 3 3-Way Interactions 1 Residual Error 4 Curvature 1 Pure Error 3 Total 11

Seq SS 52128 44038 9316 894 176 718 106377

Adj SS 52128.4 44038.4 9316.1 894.0 176.0 718.0

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StDev Coef 4.316 5.286 5.286 5.286 5.286 5.286 5.286 5.286 Adj MS 17376.1 14679.5 9316.1 223.5 176.0 239.3

T 96.06 1.30 12.08 9.25 -2.01 -12.98 -4.94 -6.46

P 0.000 0.263 0.000 0.001 0.115 0.000 0.008 0.003

F 77.74 65.68 41.68

P 0.001 0.001 0.003

0.74

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Term Constant Block factor_A factor_B factor_C factor_A*factor_B factor_A*factor_C factor_B*factor_C Term Constant Block factor_A factor_B factor_C factor_A*factor_C

Effect

Coef 411.87 34.12 6.87 63.87 48.87 -10.63 -68.63 -26.13 Coef 411.87 34.12 6.87 63.87 48.87 -68.63

13.75 127.75 97.75 -21.25 -137.25 -52.25 Effect 13.75 127.75 97.75 -137.25

Analysis of Variance for y Source DF Blocks 1 Main Effects 3 2-Way Interactions 1 Residual Error 2 Total 7

StDev Coef 19.94 19.94 19.94 19.94 19.94 19.94

Seq SS 9316 52128 37675 6363 105483

Adj SS 9316 52128 37675 6363

T 20.65 1.71 0.34 3.20 2.45 -3.44

P 0.002 0.229 0.763 0.085 0.134 0.075

Adj MS 9316 17376 37675 3182

F 2.93 5.46 11.84

%/2&. Term Constant Block factor_A factor_B factor_C factor_D factor_A*factor_B factor_A*factor_C factor_A*factor_D factor_B*factor_C factor_B*factor_D factor_C*factor_D factor_A*factor_B*factor_C factor_A*factor_B*factor_D factor_A*factor_C*factor_D factor_B*factor_C*factor_D

Effect -10.000 -0.750 -0.750 5.000 4.500 0.500 -3.750 -1.250 -1.500 1.500 -6.000 4.750 -0.250 -2.000

Coef 183.375 -1.625 -5.000 -0.375 -0.375 2.500 2.250 0.250 -1.875 -0.625 -0.750 0.750 -3.000 2.375 -0.125 -1.000

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P 0.229 0.159 0.075

Term Effect Coef StDev Coef T Constant 183.375 1.607 114.14 Block -1.625 1.607 -1.01 factor_A -10.000 -5.000 1.607 -3.11 factor_B -0.750 -0.375 1.607 -0.23 factor_C -0.750 -0.375 1.607 -0.23 factor_D 5.000 2.500 1.607 1.56 Analysis of Variance for var_1 Source DF Seq SS Adj SS Blocks 1 42.25 42.25 Main Effects 4 504.50 504.50 Residual Error 10 413.00 413.00 Total 15 959.75

P 0.000 0.336 0.011 0.820 0.820 0.151 Adj MS 42.25 126.13 41.30

F 1.02 3.05

P 0.336 0.069

%/2&. Term Constant Block 1 2 3 factor_A factor_B factor_C factor_D factor_A*factor_B factor_A*factor_C factor_A*factor_D factor_B*factor_D factor_B*factor_C*factor_D factor_A*factor_B*factor_C *factor_D

% Effect

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-8.875 0.375 0.375 6.125 5.625 1.625 -2.625 -0.375 -0.875

Coef 183.938 -3.437 2.563 -2.438 -4.438 0.187 0.187 3.062 2.812 0.813 -1.312 -0.188 -0.438

StDev Coef 1.958 3.391 3.391 3.391 1.958 1.958 1.958 1.958 1.958 1.958 1.958 1.958 1.958

T 93.96 -1.01 0.76 -0.72 -2.27 0.10 0.10 1.56 1.44 0.42 -0.67 -0.10 -0.22

P 0.000 0.417 0.529 0.547 0.152 0.932 0.932 0.258 0.287 0.718 0.572 0.932 0.844

4.375

2.187

1.958

1.12

0.380

Analysis of Variance for var_1 Source DF Seq SS Blocks 3 141.187 Main Effects 4 466.250 2-Way Interactions 4 165.250 3-Way Interactions 1 3.063 4-Way Interactions 1 76.562 Residual Error 2 122.625 Total 15 974.938

Adj SS 141.187 466.250 165.250 3.063 76.562 122.625

Adj MS 47.062 116.563 41.313 3.063 76.562 61.312

F 0.77 1.90 0.67 0.05 1.25

P 0.608 0.373 0.670 0.844 0.380

Run Block 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 10 1 11 1 12 1 13 1 14 1 15 1 16 1 17 2 18 2 19 2 20 2 21 2 22 2 23 2 24 2 25 2 26 2 27 2 28 2 29 2 30 2 31 2 32 2

Run Block 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 10 2 11 2 12 2 13 2 14 2 15 2 16 2 17 3 18 3 19 3 20 3 21 3 22 3 23 3 24 3 25 4 26 4 27 4 28 4 29 4 30 4 31 4 32 4

B + + + + + + + + + + + + + + + +

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D + + + + + + + + + + + + + + + +

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Term

Effect

Constant Block factor_A factor_B factor_C factor_D factor_A*factor_B factor_A*factor_C factor_A*factor_D factor_B*factor_C factor_B*factor_D factor_C*factor_D factor_A*factor_B*factor_C factor_A*factor_B*factor_D factor_A*factor_C*factor_D factor_B*factor_C*factor_D

Coef 35.938 -0.063 -8.062 1.563 -0.563 -0.563 -2.187 -0.313 -1.563 0.813 0.063 -0.312 0.313 -1.187 -0.562 -0.438

-16.125 3.125 -1.125 -1.125 -4.375 -0.625 -3.125 1.625 0.125 -0.625 0.625 -2.375 -1.125 -0.875

Estimated Effects and Coefficients for var_1 Term Effect Coef StDev Coef Constant 35.938 0.7354 Block -0.063 0.7354 factor_A -16.125 -8.062 0.7354 factor_B 3.125 1.563 0.7354 factor_A*factor_B -4.375 -2.187 0.7354 Analysis of Variance for var_1 Source DF Seq SS Blocks 1 0.06 Main Effects 2 1079.12 2-Way Interactions 1 76.56 Residual Error 11 95.19 Lack of Fit 3 9.69 Pure Error 8 85.50 Total 15 1250.94

D Estimated Effects and Term Effect Constant Block 1 2 3 A -45.25 B -1.50 C 14.50 A*B 19.00 A*C -14.50 B*C -9.25

Adj SS 0.06 1079.12 76.56 95.19 9.69 85.50

Coefficients for y Coef StDev Coef 56.37 2.633 15.63 4.560 -3.38 4.560 -10.88 4.560 -22.62 2.633 -0.75 2.633 7.25 2.633 9.50 2.633 -7.25 2.633 -4.63 2.633

Analysis of Variance for y Source DF Blocks 3 Main Effects 3 2-Way Interactions 3 Residual Error 6 Total 15

Seq SS 1502.8 9040.2 2627.2 665.5 13835.7

T 21.41 3.43 -0.74 -2.38 -8.59 -0.28 2.75 3.61 -2.75 -1.76

T 48.87 -0.08 -10.96 2.12 -2.97

P 0.000 0.934 0.000 0.057 0.013

Adj MS 0.063 539.562 76.562 8.653 3.229 10.687

F 0.01 62.35 8.85

P 0.934 0.000 0.013

0.30

0.823

P 0.000 0.014 0.487 0.054 0.000 0.785 0.033 0.011 0.033 0.130

Adj SS 1502.8 9040.2 2627.2 665.5

Adj MS 500.9 3013.4 875.7 110.9

F 4.52 27.17 7.90

P 0.055 0.001 0.017

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Estimated Effects and Coefficients for var_1 Term Effect Coef StDev Coef Constant 2.7700 0.2674 factor_A 1.4350 0.7175 0.2674 factor_B -1.4650 -0.7325 0.2674 factor_D 4.5450 2.2725 0.2674 factor_A*factor_B 1.1500 0.5750 0.2674 factor_A*factor_D -1.2300 -0.6150 0.2674 factor_B*factor_D 0.1200 0.0600 0.2674 Analysis of Variance for var_1 Source DF Seq SS Main Effects 3 99.450 2-Way Interactions 3 11.399 Residual Error 9 10.300 Lack of Fit 1 0.533 Pure Error 8 9.767 Total 15 121.149

Adj SS 99.4499 11.3992 10.2997 0.5329 9.7668

T 10.36 2.68 -2.74 8.50 2.15 -2.30 0.22

P 0.000 0.025 0.023 0.000 0.060 0.047 0.827

Adj MS 33.1500 3.7997 1.1444 0.5329 1.2208

F 28.97 3.32

P 0.000 0.071

0.44

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T 10.03 2.60 -2.65 8.23 2.08 -2.23 0.22 -0.66

P 0.000 0.032 0.029 0.000 0.071 0.057 0.833 0.527

&ROODSVH XVLQJ $ % ' RQO\ Estimated Effects and Coefficients for var_1 Term Effect Coef Constant 2.7700 factor_A 1.4350 0.7175 factor_B -1.4650 -0.7325 factor_D 4.5450 2.2725 factor_A*factor_B 1.1500 0.5750 factor_A*factor_D -1.2300 -0.6150 factor_B*factor_D 0.1200 0.0600 factor_A*factor_B*factor_D -0.3650 -0.1825 Analysis of Variance for var_1 Source DF Seq SS Main Effects 3 99.450 2-Way Interactions 3 11.399 3-Way Interactions 1 0.533 Residual Error 8 9.767 Pure Error 8 9.767 Total 15 121.149

D Design Generators:

Adj SS 99.4499 11.3992 0.5329 9.7668 9.7668

D = ABC

Alias Structure I + ABCD A + BCD B + ACD C + ABD D + ABC AB + CD AC + BD AD + BC

StDev Coef 0.2762 0.2762 0.2762 0.2762 0.2762 0.2762 0.2762 0.2762 Adj MS 33.1500 3.7997 0.5329 1.2208 1.2208

F 27.15 3.11 0.44

P 0.000 0.088 0.527

E Term Constant A B C D A*B A*C A*D

Effect 19.000 1.500 14.000 16.500 -1.000 -18.500 19.000

Coef 70.750 9.500 0.750 7.000 8.250 -0.500 -9.250 9.500

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Effect 19.000 14.000 16.500 -18.500 19.000

Coef 70.750 9.500 7.000 8.250 -9.250 9.500

StDev Coef 0.6374 0.6374 0.6374 0.6374 0.6374 0.6374

Analysis of Variance for rate Source DF Seq SS Main Effects 3 1658.50 2-Way Interactions 2 1406.50 Residual Error 2 6.50 Total 7 3071.50

T 111.00 14.90 10.98 12.94 -14.51 14.90

Adj SS 1658.50 1406.50 6.50

P 0.000 0.004 0.008 0.006 0.005 0.004 Adj MS F 552.833 170.10 703.250 216.38 3.250

P 0.006 0.005

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Design Generators: Defining Relation: A + BD + CE B + AD + CF C + AE + BF D + AB + EF E + AC + DF F + BC + DE AF + BE + CD Data Matrix Run A B 1 - 2 + 3 - + 4 + + 5 - 6 + 7 - + 8 + +

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Coef 30.4375 5.4375 16.8125 5.3125 -0.3125 0.1875 3.5625 0.3125 0.4375 0.6875 0.4375 -0.1875 0.0625 0.3125 0.3125 -0.8125

10.8750 33.6250 10.6250 -0.6250 0.3750 7.1250 0.6250 0.8750 1.3750 0.8750 -0.3750 0.1250 0.6250 0.6250 -1.6250

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Coef 30.438 5.438 16.812 5.313 3.562

10.875 33.625 10.625 7.125

StDev Coef 0.4243 0.4243 0.4243 0.4243 0.4243

Analysis of Variance for var_1 Source DF Seq SS Main Effects 3 5447.19 2-Way Interactions 1 203.06 Residual Error 11 31.69 Lack of Fit 3 15.19 Pure Error 8 16.50 Total 15 5681.94

Adj SS 5447.19 203.06 31.69 15.19 16.50

T 71.73 12.81 39.62 12.52 8.40

P 0.000 0.000 0.000 0.000 0.000

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F 19.00 40.72 1.47

P 0.050 0.024 0.269

Source Machine Operator Machine*Operator Error Total

DF 3 2 6 12 23

SS 24.333 26.333 35.667 45.000 131.333

MS 8.111 13.167 5.944 3.750

F 1.36 2.21 1.59

P 0.340 0.190 0.234

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Source operator engineer operator*engineer Error Total

DF 2 1 2 6 11

SS 0.01005 0.04688 0.15005 0.35785 0.56483

MS 0.00503 0.04688 0.07503 0.05964

F 0.07 0.62 1.26

P 0.937 0.512 0.350

Source

Variance Error Expected Mean Square component term (using unrestricted model) 1 operator -0.01750 3 (4) + 2(3) + 4(1) 2 engineer 3 (4) + 2(3) + Q[2] 3 operator*engineer 0.00769 4 (4) + 2(3) 4 Error 0.05964 (4) D + V + V z WE WE E %HFDXVH WKH VLJQLILFDQFH OHYHO IRU RSHUDWRU HQJLQHHU LV ZH FDQQRW UHMHFW + F 3RVVLEOH YLRODWLRQ RI WKH FRQVWDQW YDULDQFH DVVXPSWLRQ 5HVLGXDOV9HUVXVHQJLQHHU

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Source furnacep temperat furnacep*temperat Error Total

DF 1 2 2 12 17

SS 7160 945342 818 5371 958691

MS F 7160 17.50 472671 1155.52 409 0.91 448

P 0.053 0.001 0.427

Source

Variance Error Expected Mean Square component term (using unrestricted model) 1 furnacep 750.11 3 (4) + 3(3) + 9(1) 2 temperat 3 (4) + 3(3) + Q[2] 3 furnacep*temperat -12.83 4 (4) + 3(3) 4 Error 447.56 (4) D + V + V z W W + E E E + QRW DOO E L + V + V z WE WE E 7KH VHFRQG QXOO K\SRWKHVHV FDQ EH UHMHFWHG DW D IURP WKH $129$ WDEOH 7KH ILUVW DQG WKLUG QXOO K\SRWKHVLV FDQQRW EH UHMHFWHG F V

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Source operator engineer operator*engineer Error Total

DF 2 1 2 6 11

SS 0.01005 0.04688 0.15005 0.35785 0.56483

Source

MS 0.00503 0.04688 0.07503 0.05964

F 0.07 0.62 1.26

P 0.937 0.512 0.350

Variance Error Expected Mean Square component term (using unrestricted model) 1 operator -0.01750 3 (4) + 2(3) + 4(1) 2 engineer -0.00469 3 (4) + 2(3) + 6(2) 3 operator*engineer 0.00769 4 (4) + 2(3) 4 Error 0.05964 (4) 7KH $129$ WDEOH LV VKRZQ DERYH 7KH FRQFOXVLRQV GR QRW GLIIHU IURP ([HUFLVH 9,, 1R HIIHFWV DUH VLJQLILFDQW