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MS 1.8239 0.5087 F 3.59 P 0.053 'RQRWUHMHFW+)ORZUDWHGRHVQRWDIIHFWHWFKXQLIRUPLW\ 81,)250,7 )/2: E 5HVLGXDOVDUHDFFHSWDEOH 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 5HVLGXDOV9HUVXV)/2: UHVSRQVH LV 81,)250, UHVSRQVH LV 81,)250, 5HVLGXDO 5HVLGXDO )LWWHG9DOXH )/2: D Source TECHNIQU Error Total DF 3 12 15 SS 489740 153908 643648 MS 163247 12826 F 12.73 P 0.000 5HMHFW+7HFKQLTXHVDIIHFWWKHVWUHQJWKRIWKHFRQFUHWH E 3YDOXH F 5HVLGXDOVDUHDFFHSWDEOH 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 5HVLGXDOV9HUVXV7(&+1,48 UHVSRQVH LV 675(1*7+ UHVSRQVH LV 675(1*7+ 5HVLGXDO 5HVLGXDO 7(&+1,48 )LWWHG9DOXH D Source DF SS TEMPERAT 3 0.1391 Error 18 0.3191 Total 21 0.4582 'RQRWUHMHFW+ E 3YDOXH F 5HVLGXDOVDUHDFFHSWDEOH MS 0.0464 0.0177 F 2.62 5HVLGXDOV9HUVXV7(03(5$7 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV '(16,7< UHVSRQVH LV '(16,7< 5HVLGXDO 5HVLGXDO P 0.083 7(03(5$7 )LWWHG9DOXH D Source COATINGT Error Total DF 4 15 19 SS 1060.5 243.3 1303.7 MS 265.1 16.2 F 16.35 P 0.000 5HMHFW+ E 7KHUHLVVRPHLQGLFDWLRQRILQFUHDVLQJYDULDELOLW\ 5HVLGXDOV9HUVXV&2$7,1*7 5HVLGXDOV 9HUVXV WKH )LWWHG 9DOXHV UHVSRQVH LV &21'8&7, UHVSRQVH LV &21'8&7, 5HVLGXDO 5HVLGXDO &2$7,1*7 )LWWHG9DOXH F D Source DF SS MS F CIRCUITT 2 260.9 130.5 4.01 Error 12 390.8 32.6 Total 14 651.7 5HMHFW+ E 7KHUHLVVRPHLQGLFDWLRQRIJUHDWHUYDULDELOLW\LQFLUFXLWWZR P 0.046 5HVLGXDOV9HUVXV&,5&8,77 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 5(63216( UHVSRQVH LV 5(63216( 5HVLGXDO 5HVLGXDO )LWWHG9DOXH &,5&8,77 F D Source RODDING Error Total DF 3 8 11 SS 28633 40933 69567 MS 9544 5117 F 1.87 P 0.214 'RQRWUHMHFW+ E 3YDOXH F 5HVLGXDOV9HUVXV52'',1* 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 675(1*7+ UHVSRQVH LV 675(1*7+ 5HVLGXDO 5HVLGXDO 52'',1* )LWWHG9DOXH D Source ORIFICE Error Total DF 5 18 23 SS 1133.37 132.25 1265.63 MS 226.67 7.35 F 30.85 P 0.000 5HMHFW+ E 3YDOXH F 5HVLGXDOV9HUVXV25,),&( 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 5$'21 UHVSRQVH LV 5$'21 5HVLGXDO 5HVLGXDO 25,),&( )LWWHG9DOXH G D Source DF AIRVOIDS 2 Error 21 Total 23 5HMHFW+ E 3YDOXH F SS 1230.2 1555.8 2786.0 MS 615.1 74.1 P 0.002 5HVLGXDOV9HUVXV$,592,'6 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 675(1*7+ UHVSRQVH LV 675(1*7+ 5HVLGXDO 5HVLGXDO F 8.30 $,592,'6 )LWWHG9DOXH G H D Source PREPMETH Error Total 5HMHFW+ E 3YDOXH F DF 3 16 19 SS 22.124 7.948 30.072 MS 7.375 0.497 F 14.85 5HVLGXDOV9HUVXV35(30(7+ 5HVLGXDOV9HUVXV WKH )LWWHG 9DOXHV UHVSRQVH LV 7(03(5$7 UHVSRQVH LV 7(03(5$7 5HVLGXDO 5HVLGXDO 35(30(7+ 6HFWLRQ 06( VWDQGDUGHUURURIWKHPHDQ 06( Q )LWWHG9DOXH G P 0.000 Fisher's pairwise comparisons Family error rate = 0.264 Individual error rate = 0.0500 Critical value = 2.086 Intervals for (column level mean) - (row level mean) 15 20 25 30 20 -9.346 -1.854 25 -11.546 -5.946 -4.054 1.546 30 -15.546 -9.946 -7.746 -8.054 -2.454 -0.254 35 -4.746 0.854 3.054 7.054 2.746 8.346 10.546 14.546 6LJQLILFDQWGLIIHUHQFHVEHWZHHQOHYHOVDQGDQGDQGDQGDQGDQG DQGDQGDQG Fisher's pairwise comparisons Family error rate = 0.117 Individual error rate = 0.0500 Critical value = 2.131 Intervals for (column level mean) - (row level mean) 125 160 160 -1.9775 -0.2225 200 -1.4942 -0.3942 0.2608 1.3608 1RVLJQLILFDQWGLIIHUHQFHVDPRQJWKHOHYHOV P P P P P P [ 66FRQWUDVW 66FRQWUDVW 06( FRQWUDVW FRQWUDVW [ I [ 5H MHFW 'R QRW 5H MHFW Fisher's pairwise comparisons Family error rate = 0.184 Individual error rate = 0.0500 Critical value = 2.179 Intervals for (column level mean) - (row level mean) 1 2 3 2 -360 -11 3 -137 48 212 397 4 130 316 93 479 664 442 6LJQLILFDQFHGLIIHUHQFHVEHWZHHQOHYHOVDQGDQGDQGDQGDQG Fisher's pairwise comparisons Family error rate = 0.0649 Individual error rate = 0.0100 Critical value = 2.947 Intervals for (column level mean) - (row level mean) 1 2 3 4 2 -8.642 8.142 3 5.108 5.358 21.892 22.142 4 7.358 7.608 -6.142 24.142 24.392 10.642 5 -8.642 -8.392 -22.142 -24.392 8.142 8.392 -5.358 -7.608 6LJQLILFDQWGLIIHUHQFHVEHWZHHQOHYHOVDQGDQGDQGDQGDQGDQGDQG Fisher's pairwise comparisons Family error rate = 0.0251 Individual error rate = 0.0100 Critical value = 3.055 Intervals for (column level mean) - (row level mean) 1 2 2 -18.426 3.626 3 -8.626 -1.226 13.426 20.826 1RVLJQLILFDQWGLIIHUHQFHVDPRQJWKHOHYHOV FRQWUDVW DYHUDJH P P P P P 66 I 'HFLVLRQ 06( 5HMHFW 5HMHFW 'RQRW5HMHFW 'RQRW5HMHFW FRQWUDVW DYHUDJH P P P 66 I 'HFLVLRQ 06( 'RQRWUHMHFW 'RQRWUHMHFW Fisher's pairwise comparisons Family error rate = 0.330 Individual error rate = 0.0500 Critical value = 2.101 Intervals for (column level mean) - (row level mean) 0.37 0.51 0.71 1.02 0.51 1.723 9.777 0.71 3.723 -2.027 11.777 6.027 1.02 6.973 1.223 -0.777 15.027 9.277 7.277 1.40 13.723 7.973 5.973 2.723 21.777 16.027 14.027 10.777 1.99 15.973 10.223 8.223 4.973 24.027 18.277 16.277 13.027 1.40 -1.777 6.277 6LJQLILFDQWGLIIHUHQFHVEHWZHHQDOOOHYHOVH[FHSWDQGDQGDQG Fisher's pairwise comparisons Family error rate = 0.118 Individual error rate = 0.0500 Critical value = 2.080 Intervals for (column level mean) - (row level mean) 1 2 2 1.799 19.701 3 8.424 -2.326 26.326 15.576 6LJQLILFDQWGLIIHUHQFHVEHWZHHQOHYHOVDQGDQGDQG Fisher's pairwise comparisons Family error rate = 0.189 Individual error rate = 0.0500 Critical value = 2.120 Intervals for (column level mean) - (row level mean) 1 2 3 2 -0.9450 0.9450 3 1.5550 1.5550 3.4450 3.4450 4 0.4750 0.4750 -2.0250 2.3650 2.3650 -0.1350 6LJQLILFDQFHGLIIHUHQFHVDPRQJDOOOHYHOVH[FHSWOHYHOVDQG FRQWUDVW DYHUDJH P P P P 66 I 'HFLVLRQ 06( 5HMHFW 'RQRWUHMHFW 5HMHFW 6HFWLRQ D P 0.003 5HVLGXDOV9HUVXV/220 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 287387 UHVSRQVH LV 287387 5HVLGXDO 5HVLGXDO Source DF SS MS F LOOM 4 0.3416 0.0854 5.77 Error 20 0.2960 0.0148 Total 24 0.6376 5HMHFW+WKHUHDUHVLJQLILFDQWGLIIHUHQFHVDPRQJWKHORRPV E F G 5HVLGXDOVDUHDFFHSWDEOH )LWWHG9DOXH /220 D Analysis of Variance for UNIFORMI Source DF SS MS F WAFERPOS 3 16.220 5.407 8.29 Error 8 5.217 0.652 Total 11 21.437 5HMHFW+WKHUHLVDVLJQLILFDQWGLIIHUHQFHDPRQJZDIHUSRVLWLRQ E F G *UHDWHUYDULDELOLW\DWZDIHUSRVLWLRQ 5HVLGXDOV9HUVXV:$)(5326 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 81,)250, UHVSRQVH LV 81,)250, 5HVLGXDO 5HVLGXDO P 0.008 :$)(5326 P 0.538 5HVLGXDOV9HUVXV&+(0,&$/ 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV %5,*+71( UHVSRQVH LV %5,*+71( 5HVLGXDO 5HVLGXDO D Source DF SS MS F CHEMICAL 3 54.0 18.0 0.75 Error 16 384.0 24.0 Total 19 438.0 'RQRWUHMHFW+WKHUHLVQRGLIIHUHQFHDPRQJWKHFKHPLFDOW\SHV E VHWHTXDOWR F G 9DULDELOLW\LVVPDOOHULQFKHPLFDO &+(0,&$/ )LWWHG9DOXH )LWWHG9DOXH D V WRWDO V SRVLWLRQ V V SRVLWLRQ E V WRWDO F ,WFRXOGEHUHGXFHGWRWKLVLVWKHUHGXFWLRQRIDSSUR[LPDWHO\ 6HFWLRQ D Source DF SS MS NOZZLE 4 0.102180 0.025545 VELOCITY 5 0.062867 0.012573 Error 20 0.057300 0.002865 Total 29 0.222347 5HMHFW+QR]]OHW\SHDIIHFWVVKDSHPHDVXUHPHQW P 0.000 0.007 6+$3( 6+$3( F 8.92 4.39 9(/2&,7< 12==/( E F 5HVLGXDOV9HUVXV9(/2&,7< 5HVLGXDOV9HUVXV12==/( UHVSRQVH LV 6+$3( UHVSRQVH LV 6+$3( 5HVLGXDO 5HVLGXDO 9(/2&,7< 12==/( 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 6+$3( 5HVLGXDO )LWWHG9DOXH D Source DF SS MS F P TIPTYPE 3 0.38500 0.12833 14.44 0.001 SPECIMEN 3 0.82500 0.27500 30.94 0.000 Error 9 0.08000 0.00889 Total 15 1.29000 5HMHFW+WKHUHDUHVLJQLILFDQWGLIIHUHQFHVLQKDUGQHVVPHDVXUHPHQWVEHWZHHQWKHWLSV E F 5HVLGXDOVDUHDFFHSWDEOH 5HVLGXDOV9HUVXV7,37<3( UHVSRQVH LV +$5'1(66 UHVSRQVH LV +$5'1(66 5HVLGXDO 5HVLGXDO 5HVLGXDOV9HUVXV63(&,0(1 63(&,0(1 7,37<3( 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV +$5'1(66 5HVLGXDO )LWWHG9DOXH D Source DF SS MS F P TEST 2 0.0014000 0.0007000 3.00 0.125 SUBJECT 3 0.0212250 0.0070750 30.32 0.001 Error 6 0.0014000 0.0002333 Total 11 0.0240250 'RQRWUHMHFW+WKHUHLVQRHYLGHQFHRIGLIIHUHQFHVEHWZHHQWKHWHVWV E 6RPHLQGLFDWLRQRIYDULDELOLW\LQFUHDVLQJZLWKWKHPDJQLWXGHRIWKHUHVSRQVH 5HVLGXDOV9HUVXV68%-(&7 5HVLGXDOV9HUVXV7(67 UHVSRQVH LV $56(1,& 5HVLGXDO 5HVLGXDO UHVSRQVH LV $56(1,& 68%-(&7 UHVSRQVH LV $56(1,& 7(67 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 5HVLGXDO )LWWHG9DOXH D Source DF SS MS F P STORAGE 3 1972652 657551 4.33 0.014 LOT 8 1980499 247562 1.63 0.169 Error 24 3647150 151965 Total 35 7600300 5HMHFW+WKHVWRUDJHWLPHVDUHVLJQLILFDQWO\GLIIHUHQW E 3YDOXH F G 2EVHUYDWLRQVIURPORWDWGD\VDSSHDUVXQXVXDO2WKHUZLVHWKHUHVLGXDOVDUHDFFHSWDEOH 5HVLGXDOV9HUVXV/27 5HVLGXDOV9HUVXV6725$*( UHVSRQVH LV 352723( UHVSRQVH LV 352723(& 5HVLGXDO 5HVLGXDO /27 6725$*( 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 352723(& 5HVLGXDO )LWWHG9DOXH D Source DF SS MS F P LENGTH 3 72.66 24.22 1.61 0.240 WIDTH 4 90.52 22.63 1.50 0.263 Error 12 180.83 15.07 Total 19 344.01 'RQRWUHMHFW+PHDQOHDNDJHYROWDJHGRHVQRWGHSHQGRQWKHFKDQQHOOHQJWK E 2QHXQXVXDOREVHUYDWLRQLQZLGWKOHQJWK 5HVLGXDOV9HUVXV:,'7+ 5HVLGXDOV9HUVXV/(1*7+ UHVSRQVH LV /($.$*( UHVSRQVH LV /($.$*( 5HVLGXDO 5HVLGXDO :,'7+ /(1*7+ 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV /($.$*( 5HVLGXDO )LWWHG9DOXH Source DF SS MS F LENGTH 3 8.1775 2.7258 6.16 WIDTH 4 6.8380 1.7095 3.86 Error 12 5.3100 0.4425 Total 19 20.3255 5HMHFW+PHDQOHDNDJHYROWDJHGRHVGHSHQGRQFKDQQHOOHQJWK P 0.009 0.031 6HFWLRQ W W W W Q ) Q D D Q Q 9DULRXVFKRLFHV D Q Q ) ) 7KHUHIRUHQ LVQHHGHG P P 3RZHU E W W W W W ) Q Q ) ) D Q 3RZHU E 7KHUHIRUHQ LVQHHGHG D D Q DQGW 7KXVE DQGSRZHU D D Q DQGW 7KXVE DQGSRZHU Q W W D Q 7KHUHIRUHQ LVQHHGHG SRZHU E 6XSSOHPHQWDO([HUFLVHV D P 0.000 5HVLGXDOV9HUVXV$//2< 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 5(6,67$1 UHVSRQVH LV 5(6,67$1 5HVLGXDO 5HVLGXDO Analysis of Variance for RESISTAN Source DF SS MS F ALLOY 2 10941.8 5470.9 76.09 Error 27 1941.4 71.9 Total 29 12883.2 5HMHFW+ E F G 9DULDELOLW\RIWKHUHVLGXDOVLQFUHDVHVZLWKWKHUHVSRQVH $//2< D Analysis of Variance for SURFROUG Source DF SS MS MATERIAL 3 0.2604 0.0868 Error 11 0.1804 0.0164 Total 14 0.4408 5HMHFW+ E 2QHREVHUYDWLRQLVDQRXWOLHU F 5.29 P 0.017 1RUPDO 3UREDELOLW\ 3ORW RI WKH 5HVLGXDOV 5HVLGXDOV9HUVXV0$7(5,$/ UHVSRQVH LV 685)528* UHVSRQVH LV 685)528* 5HVLGXDO 0$7(5,$/ 1RUPDO 6FRUH F 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV 685)528* 5HVLGXDO 5HVLGXDO )LWWHG9DOXH )LWWHG9DOXH G D Q+ 06( &RPSDULVRQV YV YV YV YV 'LIIHUHQFHV 5L D Analysis of Variance for SCORE Source DF SS MS METHOD 2 13.55 6.78 Error 21 84.77 4.04 Total 23 98.32 'RQRWUHMHFW+ E 3YDOXH F F 1.68 P 0.211 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 5HVLGXDOV9HUVXV0(7+2' UHVSRQVH LV 6&25( UHVSRQVH LV 6&25( 5HVLGXDO 5HVLGXDO )LWWHG9DOXH 0(7+2' G 0HWKRG D Analysis of Variance for VOLUME Source DF SS MS TEMPERAT 2 16480 8240 Error 12 12610 1051 Total 14 29090 5HMHFW+ E 3YDOXH F G F 7.84 P 0.007 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 5HVLGXDOV9HUVXV7(03(5$7 UHVSRQVH LV 92/80( 5HVLGXDO 5HVLGXDO UHVSRQVH LV 92/80( )LWWHG9DOXH 7(03(5$7 D Source DF SS MEANWEIG 2 0.2227 AIRTEMP 5 10.1852 Error 10 0.7509 Total 17 11.1588 5HMHFW+ E F MS 0.1113 2.0370 0.0751 F 1.48 27.13 5HVLGXDOV9HUVXV$,57(03 5HVLGXDOV9HUVXV0($1:(,* UHVSRQVH LV :(,*+7*$ UHVSRQVH LV :(,*+7*$ 5HVLGXDO 5HVLGXDO P 0.273 0.000 $,57(03 0($1:(,* 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV :(,*+7*$ 5HVLGXDO )LWWHG9DOXH D Source ALGORITH PROJECT Error Total 5HMHFW+ E DF 5 7 35 47 SS 2825746 2710323 3175290 8711358 MS 565149 387189 90723 F 6.23 4.27 5HVLGXDOV9HUVXV352-(&7 P 0.000 0.002 5HVLGXDOV9HUVXV$/*25,7+ UHVSRQVH LV 3&7(5525 UHVSRQVH LV 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7KHUHIRUH 06 7 V d d ID D D D 1 D D 1 D 06( QV V W § ª º ª º· ¨« 06 7 » V W 06 7 »¸ « 3¨ « » d d « »¸ Q « I D D 1 D 06( ¨ Q « I D D 1 D 06( » V »¸ © ¬ ¼ ¬ ¼¹ 3I DQG 3 / d V W d 8 V V E\DQDOJHEUDLFVROXWLRQIRU V W 06 7 V KDVDQ ) D 06( QV V W $VLQ([HUFLVH DQG D 3/d 1 D GLVWULEXWLRQ V W d8 V V d d 8 V W / V 3 d d 8 / V W / V W 8 3 d d / V V W 8 3 )URP([HUFLVH V D 3 / d W d 8 V V 3 / d W d 8 V V V 3 / d W d 8 V V 3 d d 8 V VW / V LVDFRQILGHQFHLQWHUYDOIRU 8 / V W V 7KHUHIRUH D ¦ QL \L \ 06 7 DQGIRUDQ\UDQGRPYDULDEOH; ( ; L D 9 ; > ( ; @ 7KHQ D ¦ QL ^ 9 <L < >( <L < @ ` ( 067 L D 1RZ < < Q DQG 9 < < Q ( < < Q 7KHQ D ¦ QL ^ ( 06 7 L 1 1 1 Q L < Q Q 1 Q 1 Q <Q 1 1 V OL ` < 1 <Q <D 1 <DQ D O IURPWKHFRQVWUDLQW D Q ¦ QL > L V QL O L @ L 1 V 1 Q Q QO O D O D 1 1 1 1 D D WKLVGRHVVXJJHVWWKDWWKHQXOOK\SRWKHVLVLVDVJLYHQLQWKHH[HUFLVH D V ¦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ource material temperat material*temperat Error Total DF 2 2 4 27 35 SS 10683.7 39118.7 9613.8 18230.7 77647.0 MS 5341.9 19559.4 2403.4 675.2 F 7.91 28.97 3.56 P 0.002 0.000 0.019 0DLQIDFWRUVDQGLQWHUDFWLRQDUHDOOVLJQLILFDQW E ,QWHUDFWLRQ3ORW0HDQVIRUOLIH PDWHULDO 0HDQ WHPSHUDW F 5HVLGXDOV9HUVXVWHPSHUDW 5HVLGXDOV9HUVXVPDWHULDO UHVSRQVH LV OLIH UHVSRQVH LV OLIH 5HVLGXDO 5HVLGXDO 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV OLIH 5HVLGXDO PDWHULDO WHPSHUDW )LWWHG9DOXH D Source paint drying paint*drying Error Total 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 P 0.193 0.930 0.026 2QO\WKHLQWHUDFWLRQLVVLJQLILFDQW E 5HVLGXDOV9HUVXVGU\LQJ 5HVLGXDOV9HUVXVSDLQW UHVSRQVH LV VXUIILQL 5HVLGXDO 5HVLGXDO UHVSRQVH LV VXUIILQL GU\LQJ SDLQW 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV VXUIILQL 5HVLGXDO )LWWHG9DOXH E 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 P 0.000 0.004 0.318 0DLQHIIHFWVDUHVLJQLILFDQWWKHLQWHUDFWLRQLVQRWVLJQLILFDQW F 5HVLGXDOV9HUVXVSKRVW\SH 5HVLGXDOV9HUVXVJODVVW\S UHVSRQVH LV FXUUHQW 5HVLGXDO 5HVLGXDO UHVSRQVH LV FXUUHQW JODVVW\S SKRVW\SH 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV FXUUHQW 5HVLGXDO )LWWHG9DOXH E 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 %RWKPDLQIDFWRUVDUHVLJQLILFDQW F 5HVLGXDOV9HUVXVWHPSHUDW 5HVLGXDOV9HUVXVIXUQDFHS UHVSRQVH LV GHQVLW\ 5HVLGXDO 5HVLGXDO UHVSRQVH LV GHQVLW\ WHPSHUDW 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV GHQVLW\ 5HVLGXDO IXUQDFHS )LWWHG9DOXH Fisher's pairwise comparisons Family error rate = 0.117 Individual error rate = 0.0500 Critical value = 2.131 Intervals for (column level mean) - (row level mean) 800 825 825 -518.4 -445.0 850 -27.9 453.8 45.5 527.2 E 5HVLGXDOV9HUVXVWHPSHUDW 5HVLGXDOV9HUVXVFRSSHUFR UHVSRQVH LV ZDUSLQJ 5HVLGXDO 5HVLGXDO UHVSRQVH LV ZDUSLQJ WHPSHUDW FRSSHUFR 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV ZDUSLQJ 5HVLGXDO )LWWHG9DOXH F %R[SORWVRI ZDUSLQJ E\ FRSSHUFR PHDQV DUH LQGLFDWHG E\ VROLG FLUFOHV ZDUSLQJ FRSSHUFRQ Fisher's pairwise comparisons Family error rate = 0.195 Individual error rate = 0.0500 Critical value = 2.048 Intervals for (column level mean) - (row level mean) 40 60 80 60 -7.139 0.389 80 -9.264 -5.889 -1.736 1.639 100 -16.514 -13.139 -11.014 -8.986 -5.611 -3.486 G 1REHFDXVHWKHIDFWRUVGRQRWLQWHUDFW V ; 6DPHFRQFOXVLRQV D Source DF SS frequenc 2 209.893 environm 2 64.252 frequenc*environm 4 101.966 Error 27 5.424 Total 35 381.535 %RWKPDLQIDFWRUVDQGLQWHUDFWLRQDUHVLJQLILFDQW E 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 P 0.000 0.000 0.000 MS 3.7851 1.1788 0.8821 0.0094 F 404.09 125.85 94.17 P 0.000 0.000 0.000 5HVLGXDOV9HUVXVIUHTXHQF UHVSRQVH LV JURZWKUD UHVSRQVH LV JURZWKUD 5HVLGXDO 5HVLGXDO MS 104.946 32.126 25.491 0.201 HQYLURQP IUHTXHQF 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV JURZWKUD 5HVLGXDO )LWWHG9DOXH F 5HVLGXDOSORWVRQWKHORJVFDOHDUHLPSURYHG 5HVLGXDOV9HUVXVHQYLURQP 5HVLGXDOV9HUVXVIUHTXHQF UHVSRQVH LV OQJURZWK 5HVLGXDO 5HVLGXDO UHVSRQVH LV OQJURZWK HQYLURQP IUHTXHQF 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV OQJURZWK 5HVLGXDO )LWWHG9DOXH D Source DF SS MS F doping 1 1.442 1.442 25.23 anneal 4 124.238 31.059 543.52 doping*anneal 4 0.809 0.202 3.54 Error 10 0.571 0.057 Total 19 127.060 %RWKPDLQIDFWRUVDQGWKHLQWHUDFWLRQDUHVLJQLILFDQW E ,QWHUDFWLRQ3ORW0HDQVIRUFXUUHQW P 0.000 0.000 0.048 GRSLQJ 0HDQ DQQHDO F 5HVLGXDOV9HUVXVDQQHDO 5HVLGXDOV9HUVXVGRSLQJ UHVSRQVH LV FXUUHQW 5HVLGXDO 5HVLGXDO UHVSRQVH LV FXUUHQW DQQHDO GRSLQJ 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV FXUUHQW 5HVLGXDO )LWWHG9DOXH D V; r V ; r E 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 7KHFRQFOXVLRQVDUHWKHVDPH 6HFWLRQ D E Source DF SS MS F P hardwood 2 8.3750 4.1875 7.64 0.003 cookingt 1 17.3611 17.3611 31.66 0.000 freeness 2 21.8517 10.9258 19.92 0.000 hardwood*cookingt 2 3.2039 1.6019 2.92 0.075 hardwood*freeness 4 6.5133 1.6283 2.97 0.042 cookingt*freeness 2 1.0506 0.5253 0.96 0.399 Error 22 12.0644 0.5484 Total 35 70.4200 $OOPDLQIDFWRUVDUHVLJQLILFDQW7KHLQWHUDFWLRQRIKDUGZRRG IUHHQHVVLVDOVRVLJQLILFDQW F 5HVLGXDOV9HUVXVIUHHQHVV 5HVLGXDOV9HUVXVFRRNLQJW UHVSRQVH LV VWUHQJWK UHVSRQVH LV VWUHQJWK 5HVLGXDO 5HVLGXDO IUHHQHVV 5HVLGXDOV9HUVXVKDUGZRRG UHVSRQVH LV VWUHQJWK 5HVLGXDO 5HVLGXDO )LWWHG9DOXH KDUGZRRG D Source DF SS MS cycletim 2 393.037 196.519 operator 2 256.148 128.074 temperat 1 71.185 71.185 cycletim*operator 4 307.519 76.880 cycletim*temperat 2 67.704 33.852 operator*temperat 2 13.481 6.741 Error 40 195.296 4.882 Total 53 1304.370 2QO\WKHRSHUDWRU WHPSHUDWXUHLQWHUDFWLRQLVLQVLJQLILFDQW E F 40.25 26.23 14.58 15.75 6.93 1.38 P 0.000 0.000 0.000 0.000 0.003 0.263 5HVLGXDOV9HUVXVRSHUDWRU 5HVLGXDOV9HUVXVWHPSHUDW UHVSRQVH LV VFRUH UHVSRQVH LV VFRUH 5HVLGXDO 5HVLGXDO 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV VWUHQJWK FRRNLQJW RSHUDWRU WHPSHUDW 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 5HVLGXDOV9HUVXVF\FOHWLP UHVSRQVH LV VFRUH 5HVLGXDO 5HVLGXDO UHVSRQVH LV VFRUH F\FOHWLP )LWWHG9DOXH 6HFWLRQ D Source DF SS MS F speed 1 1332 1332 0.49 hardness 1 28392 28392 10.42 angle 1 20592 20592 7.56 speed*hardness 1 506 506 0.19 speed*angle 1 56882 56882 20.87 hardness*angle 1 2352 2352 0.86 Error 9 24530 2726 Total 15 134588 E \ [VSHHG[KDUGQHVV[DQJOH[VSHHG DQJOH F 5HVLGXDOV9HUVXVDQJOH 5HVLGXDOV9HUVXVKDUGQHVV UHVSRQVH LV OLIH UHVSRQVH LV OLIH 5HVLGXDO 5HVLGXDO DQJOH KDUGQHVV 5HVLGXDOV9HUVXVVSHHG 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHVSRQVH LV OLIH UHVSRQVH LV OLIH 5HVLGXDO 5HVLGXDO P 0.502 0.010 0.023 0.677 0.000 0.377 VSHHG )LWWHG9DOXH 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 5HVLGXDOV9HUVXV& 5HVLGXDOV9HUVXV' UHVSRQV H LV V FRUH UHVSRQVH LV V FRUH 5HVLGXDO 5HVLGXDO ' & 5HVLGXDOV9HUVXV% 5HVLGXDOV9HUVXV$ UHV SRQV H LV V FRUH UHV SRQV H LV V FRUH 5HVLGXDO 5HVLGXDO % UHV SRQV H LV V FRUH $ 1RUPDO 3UREDELOLW\ 3ORW RI WKH 5HVLGXDOV 5HVLGXDO 1RUPDO 6FRUH VWDQGDUGHUURURIWKHHIIHFWV &RQVWUXFWDSSUR[LPDWHFRQILGHQFHLQWHUYDOVRQHDFKHVWLPDWHG HIIHFWHVWLPDWHGHIIHFWr VWDQGDUGHUURU )URPWKHLQWHUYDOV$&'$'$%&$%'$&'DQG %&' D (VWLPDWHG(IIHFWVDQG&RHIILFLHQWVIRUVWUHQJWK 7HUP(IIHFW $ % & ' ( $ % $ & $ ' $ ( % & % ' % ( & ' & ( ' ( $ % & $ % ' $ % ( $ & ' $ & ( $ ' ( % & ' % & ( % ' ( & ' ( $ % & ' $ % & ( $ % ' ( $ & ' ( % & ' ( $ % & ' ( E 1RUPDO3UREDELOLW\3ORWRIWKH(IIHFWV UHVSRQVH LV VWUHQJWK $OSKD % 1RUPDO 6FRUH $% ' '( ( $%' $ (IIHFW 7KHHIIHFWVWKDWDSSHDUWREHLPSRUWDQWDUH$%'(DQGWKHLQWHUDFWLRQV$%'(DQG$%' F 7KHUHJUHVVLRQDQDO\VLVDQGILQDOPRGHODUH 7KHUHJUHVVLRQHTXDWLRQLV VWUHQJWK $%'($%'( $%' 3UHGLFWRU&RHI6W'HY73 &RQVWDQW $ % ' ( $% '( $%' 6 56T 56T DGM $QDO\VLVRI9DULDQFH 6RXUFH')6606)3 5HJUHVVLRQ (UURU 7RWDO 6RXUFH')6HT66 $ % ' ( $% '( $%' %DVHGRQWKHDQDO\VLVRIYDULDQFHWKHPRGHODSSHDUVWREHDGHTXDWH 1RUPDO 3UREDELOLW\ 3ORW 5HVLGXDOV 9HUVXV '( UHVSRQVH LV VWUHQJ 3UREDELOLW\ 5HVLGXDO 5(6, $YHUDJH 6W'HY $6TXDUHG 1 39DOXH '( $QGHUVRQ'DUOLQJ 1RUPDOLW\ 7HVW 5HVLGXDOV 9HUVXV $%' UHVSRQVH LV VWUHQJW 5HVLGXDO $%' 7KHQRUPDOSUREDELOLW\SORWRIWKHUHVLGXDOVLQGLFDWHVWKHDVVXPSWLRQRIQRUPDOLW\LVQRWYLRODWHG 7KHPRGHODSSHDUVWREHDGHTXDWH G 7RPD[LPL]HVWUHQJWKWKHYDULDEOHV$%'DQG(VKRXOGEHLQFUHDVHG9DULDEOH&LVQRWVLJQLILFDQW WKXVDQ\OHYHORI&ZRXOGEHDFFHSWDEOH D E 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 Adj SS 98.7713 4.4652 19.1101 19.1101 P 0.055 0.000 0.189 0.209 F 20.67 1.87 P 0.001 0.209 7HVWSRVLWLRQLVWKHVLJQLILFDQWIDFWRU F 5HVLGXDOV9HUVXVWHVWSRV 5HVLGXDOV9HUVXVFOHDQPHW UHV SRQV H L V FKDUJH UHV SRQV H L V FKDUJH 5HVLGXDO 5HVLGXDO WHVWSRV FOHDQPHW 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV UHV SRQV H L V F KDUJH 5HVLGXDO )LWWHG9DOXH D 1RUPDO 3UREDELOLW\ 3ORW RI WKH (IIHFWV UHVSRQVH L V L QFKHV $OSKD $ 1RUPDO 6FRUH $% $ (IIHFW IDFWRUB$ % IDFWRUB% & IDFWRUB& ' IDFWRUB' 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 $FFRUGLQJWRWKHQRUPDOSUREDELOLW\SORWIDFWRUV$%DQG$%DSSHDUWREHVLJQLILFDQW E F 5HPRYLQJWKHWKUHHDQGIRXUIDFWRULQWHUDFWLRQVWKHDQDO\VLVDQGUHVLGXDOSORWDUHIRXQG Term Effect Coef StDev Coef T P Constant 35.938 0.6355 56.55 0.000 factor_A -16.125 -8.063 0.6355 -12.69 0.000 factor_B 3.125 1.562 0.6355 2.46 0.057 factor_C -1.125 -0.562 0.6355 -0.89 0.417 factor_D -1.125 -0.562 0.6355 -0.89 0.417 factor_A*factor_B -4.375 -2.187 0.6355 -3.44 0.018 factor_A*factor_C -0.625 -0.312 0.6355 -0.49 0.644 factor_A*factor_D -3.125 -1.562 0.6355 -2.46 0.057 factor_B*factor_C 1.625 0.812 0.6355 1.28 0.257 factor_B*factor_D 0.125 0.063 0.6355 0.10 0.925 factor_C*factor_D -0.625 -0.313 0.6355 -0.49 0.644 1RUPDO 3UREDELOLW\ 3ORW RI WKH 5HVLGXDOV UHVSRQVH LV LQFKHV 5HVLGXDO 1RUPDO 6FRUH D 1RUPDO 3UREDELOLW\ 3ORW RI WKH (IIHFWV UHV SRQV H LV \ LHOG $OSKD $ % $ $% & IDF WRUB$ % IDF WRUB% & IDF WRUB& ' IDF WRUB' ( IDF WRUB( 1RUPDO 6FRUH (IIHFW )DFWRUV$%&DQGWKHLQWHUDFWLRQ$%DSSHDUWREHVLJQLILFDQW E 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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¨/DFNRI)LW©WHUPLQWKH DQDO\VLVRXWSXWDQGWKH06(FXUYDWXUHFRPSXWHGE\KDQGZLOOQRWEHHTXLYDOHQWWR06(FXUYDWXUHFRPSXWHGE\ $QDO\VLV RI 9DULDQFH IRU LQFKHV 6RXUFH ') 6HT 66 0DLQ (IIHFWV :D\ ,QWHUDFWLRQV :D\ ,QWHUDFWLRQV :D\ ,QWHUDFWLRQV :D\ ,QWHUDFWLRQV 5HVLGXDO (UURU &XUYDWXUH 3XUH (UURU 7RWDO $GM 66 $GM 06 ) 3 7KHKDQGFDOFXODWLRQRI V F LV V F ¦ FHQWHU SWV \ L \F QF ZKHUH \F 7KHGLIIHUHQFHEHWZHHQWKHWKLVHVWLPDWHDQGWKHHVWLPDWHLQ([HUFLVHLVGXHWRWKHDGGLWLRQRI FHQWHUSRLQWV D 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 6HFWLRQ %/2&. $ % & \ 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 0.454 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 YDUB 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 & ' YDUB -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 A 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 A B + + + + + + + + + + + + + + + + C + + + + + + + + + + + + + + + + D + + + + + + + + + + + + + + + + E + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + B + + + + + + + + + + + + + + + + C + + + + + + + + + + + + + + + + D + + + + + + + + + + + + + + + + E + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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 E 5HVLGXDOV9HUVXVWKH )LWWHG 9DOXHV 1RUPDO 3UREDELOLW\ 3ORW RI WKH 5HVLGXDOV UHVSRQVH LV \ UHVSRQVH LV \ 5HVLGXDO 5HVLGXDO 1RUPDO 6FRUH )LWWHG9DOXH 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 33 3 34 3 35 3 36 3 37 3 38 3 39 3 40 3 41 3 42 3 43 3 44 3 45 3 46 3 47 3 48 3 49 4 50 4 51 4 52 4 53 4 54 4 55 4 56 4 57 4 58 4 59 4 60 4 61 4 62 4 63 4 64 4 A B + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + C + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + D + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + E + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + F + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - 6HFWLRQ D 1RUPDO 3UREDELOLW\ 3ORW RI WKH (IIHFWV UHVSRQVH LV YDUB $OSKD ' 1RUPDO 6FRUH $ IDFWRUB$ % IDFWRUB% & IDFWRUB& ' IDFWRUB' ( IDFWRUB( (IIHFW F 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 0.527 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 &ROODSVHXVLQJ$%'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 $ & ' $& DQG $' KDYH ODUJH HVWLPDWHG HIIHFWV F Estimated Effects and Coefficients for rate Term Constant A C D A*C A*D 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 7KHJHQHUDWRUVDUH( $%&) %&'&RPSOHWHGHILQLQJUHODWLRQLV, $%&( %&') $'()6LQFHWKH UHPDLQLQJIDFWRUV$%'DQG)GRQRWIRUPDZRUGLQWKHFRPSOHWHGHILQLQJUHODWLRQLWFDQEHYHULILHGWKDW WKHUHVXOWLQJGHVLJQLVDIXOOIDFWRULDO 6LQFHIDFWRUV$%&DQG(IRUPDZRUGLQWKHFRPSOHWHGHILQLQJUHODWLRQLWFDQEHYHULILHGWKDWWKH UHVXOWLQJGHVLJQLVWZRUHSOLFDWHVRIDIUDFWLRQDOIDFWRULDO )DFWRU $ % & ' $%&' $&%' $'%& (VWLPDWHG(IIHFW *HQHUDWRUV' $%( $&IRU5HVROXWLRQ,,, $ % & ' Term Constant factor_A factor_B factor_C factor_D factor_E factor_B*factor_C factor_B*factor_E Effect 1450.00 3650.00 -150.00 1750.00 650.00 250.00 -50.00 ( Coef 3025.00 725.00 1825.00 -75.00 875.00 325.00 125.00 -25.00 YDUB B 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 + + D + + + + E + + + + F + + + + E ( $%&' F 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 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 G 1RUPDO 3UREDELOLW\ 3ORW RI WKH (IIHFWV UHVSRQVH LV YDUB $OSKD % $ IDFWRUB$ % IDFWRUB% & $ & $% 1RUPDO 6FRUH C + + + + D = AB E = AC F = BC I = ABD = ACE = BCF = BCDE = ACDF = ABEF = DEF (IIHFW IDFWRUB& ' IDFWRUB' ( IDFWRUB( H Term Constant factor_A factor_B factor_C factor_A*factor_B Effect 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 Adj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