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Yates's computations for a 2^3 factorial experiment exptl. Condn. (1)' a b ab C ac bc abc exptl condn (1)' a b ab с ac bc um abc www obsn1 106 198 197 329 149 243 255 383 Sumsg= A obsn2 93 200 202 331 169 247 230 360 F(0.05,1,8)= 5.317655 (vii) (viii) 961538 SST= Xijk. 199 398 399 660 318 490 485 743 3692 B C 1 2 597 1656 3692 1059 2036 890 33004.17 808 460 882 1228 430 148 199 462 380 261 420 -30 172 62 -42 258 86 24 109609 FACTORIAL EFFECTS AB + 3 SS (=MS) AC + SSE= BC + + A B 32413.5 912.6667 AB 6016.667 C 37.5 AC 73.5 BC 24 ABC 72482 37127 MSE= 4640.875 ABC EFF. + + (1) Fill the signs (i) to (viii) in the table of signs (2) Use the values in the column labeled 3 in the Yates's computations table above to compute: (a) the estimate of the level 1 effect for factor A, i.e. A(1) (b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2) (c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)

Yates's computations for a 2^3 factorial experiment exptl. Condn. (1)' a b ab C ac bc abc exptl condn (1)' a b ab с ac bc um abc www obsn1 106 198 197 329 149 243 255 383 Sumsg= A obsn2 93 200 202 331 169 247 230 360 F(0.05,1,8)= 5.317655 (vii) (viii) 961538 SST= Xijk. 199 398 399 660 318 490 485 743 3692 B C 1 2 597 1656 3692 1059 2036 890 33004.17 808 460 882 1228 430 148 199 462 380 261 420 -30 172 62 -42 258 86 24 109609 FACTORIAL EFFECTS AB + 3 SS (=MS) AC + SSE= BC + + A B 32413.5 912.6667 AB 6016.667 C 37.5 AC 73.5 BC 24 ABC 72482 37127 MSE= 4640.875 ABC EFF. + + (1) Fill the signs (i) to (viii) in the table of signs (2) Use the values in the column labeled 3 in the Yates's computations table above to compute: (a) the estimate of the level 1 effect for factor A, i.e. A(1) (b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2) (c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Yates's computations for a 2^3 factorial experiment 田 exptl. Condn. SS (=MS) obsn1 obsn2 Xijk. 1 2 3 EFF. (1)' 106 93 199 597 1656 3692 a 198 200 398 1059 2036 890 33004.17 A b 197 202 399 808 460 882 32413.5 B ab 329 331 660 1228 430 148 912.6667 АВ 149 169 318 199 462 380 6016.667 ac 243 247 490 261 420 -30 37.5 AC bc 255 230 485 172 62 -42 73.5 BC abc 383 360 743 258 86 24 24 АВС 3692 72482 Sumsq= 961538 SST= 109609 SSE= 37127 MSE= 4640.875 F(0.05,1,8)= 5.317655 FACTORIAL EFFECTS еxptl condn A B АВ АС BC АВС (1)' (i) + a b (ii) ab (iv) (v) ac bc (vii) abc (viii) (1) Fill the signs (i) to (viii) in the table of signs (2) Use the values in the column labeled 3 in the Yates's computations table above to compute: (a) the estimate of the level 1 effect for factor A, i.e. A(1) (b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2) (c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)
Transcribed Image Text:Yates's computations for a 2^3 factorial experiment 田 exptl. Condn. SS (=MS) obsn1 obsn2 Xijk. 1 2 3 EFF. (1)' 106 93 199 597 1656 3692 a 198 200 398 1059 2036 890 33004.17 A b 197 202 399 808 460 882 32413.5 B ab 329 331 660 1228 430 148 912.6667 АВ 149 169 318 199 462 380 6016.667 ac 243 247 490 261 420 -30 37.5 AC bc 255 230 485 172 62 -42 73.5 BC abc 383 360 743 258 86 24 24 АВС 3692 72482 Sumsq= 961538 SST= 109609 SSE= 37127 MSE= 4640.875 F(0.05,1,8)= 5.317655 FACTORIAL EFFECTS еxptl condn A B АВ АС BC АВС (1)' (i) + a b (ii) ab (iv) (v) ac bc (vii) abc (viii) (1) Fill the signs (i) to (viii) in the table of signs (2) Use the values in the column labeled 3 in the Yates's computations table above to compute: (a) the estimate of the level 1 effect for factor A, i.e. A(1) (b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2) (c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)
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