Question

An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows: Treatment Replicate A B C Combination I II III - - - (1) 22 31 25 + - - a 32 43 29 - + - b 35 34 50 + + - ab 55 47 46 - - + c 44 45 38 + - + ac 40 37 36 - + + bc 60 50 54 + + + abc 39 41 47

          An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows:

Treatment Replicate
A B C Combination I II III
- - - (1) 22 31 25
+ - - a 32 43 29
- + - b 35 34 50
+ + - ab 55 47 46
- - + c 44 45 38
+ - + ac 40 37 36
- + + bc 60 50 54
+ + + abc 39 41 47
        
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An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows:

Treatment Replicate
A B C Combination I II III
- - - (1) 22 31 25
+ - - a 32 43 29
- + - b 35 34 50
+ + - ab 55 47 46
- - + c 44 45 38
+ - + ac 40 37 36
- + + bc 60 50 54
+ + + abc 39 41 47

Added by Allison S.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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An engineer is interested in the effects of cutting speed tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows: Treatment Combination Replicate 22 31 25 32 43 29 35 34 50 55 47 46 44 45 38 40 37 36 60 50 54 39 41 47 (1) a b ab c ac bc abc
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an-engineer-is-interested-in-the-effects-of-cutting-speed-tool-geometry-b-and-cutting-angle-c-on-the-life-in-hours-of-a-machine-tool-two-levels-of-each-factor-are-chosen-and-three-replicates-71273

An engineer is interested in the effects of cutting speed tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows: Treatment Combination Replicate 22 31 25 32 43 29 35 34 50 55 47 46 44 45 38 40 37 36 60 50 54 39 41 47 (1) a b ab c ac bc abc

Adi S.

1-an-engineer-is-interested-in-the-effects-of-cutting-speed-a-tool-geometry-b-and-cutting-angle-c-on-the-life-in-hours-of-a-machine-tool-two-levels-of-each-factor-are-chosen-and-three-replic-23726

1. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 23 factorial design are run. The results follow: Treatment Replicate A B C Combination I II III - - - (1) 22 31 25 + - - a 32 43 29 - + - b 35 34 50 + + - ab 55 47 46 - - + c 44 45 38 + - + ac 40 37 36 - + + bc 60 50 54 + + + abc 39 41 47 (a) Estimate the factor effects. Which effects appear to be large?

Adi S.

62-an-engineer-is-interested-in-the-effects-of-cutting-speed-a-tool-geometry-b-and-cutting-angle-c-on-the-life-in-hours-of-machine-tool-two-levels-of-each-factor-are-chosen-and-three-replica-88925

6.2 An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2^3 factorial design are run. The results are as follows: Treatment Combination (1): 22, 31, 25 a: 32, 43, 29 b: 35, 34, 50 ab: 55, 47, 46 c: 44, 45, 38 ac: 40, 37, 36 bc: 60, 50, 54 abc: 39, 41, 47 (a) Estimate the factor effects. Which effects appear to be large?

Sri K.


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Transcript

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00:01 So here our standard error, standard error effect will be here under root 1 by n into 2 to the power k minus 2 into s square.
00:21 Here our value of s square is given in the question is 30 .17.
00:30 Now we'll put the value then we'll be getting here under root 1 by n is how here 3 into the into 2 into 3 to the power minus 2 into we'll put the value of s which is 30 .17...
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