An experiment was conducted to determine the effect of machining factors on ceramic strength. Two levels of table speed (slow and fast), two directions (longitudinal and transverse) and two levels of wheel grit (I and II) were identified by the researcher. The experiment was replicated three times and the strength of each randomly selected ceramic was obtained. The ANOVA table of the results of the analysis are as follows. 1. Refer to the ANOVA table at a=0.01, what is the conclusion for testing significance in 3-way interaction Reject/Fail to Reject Ho 2. If sequential test of hypothesis is performed the following are (True or False)? a. All 2-way interaction effects are going to be tested b. All main effects are going to be tested 3. What combination of effects will result to a significant result at a=0.01 if should all test are going to be performed among the main effects and two way interactions? (choose 1pair/combination: direction, wheel grit, speed)

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An experiment was conducted to determine the effect of machining factors on ceramic
strength. Two levels of table speed (slow and fast), two directions (longitudinal and transverse) and two levels
of wheel grit (I and II) were identified by the researcher. The experiment was replicated three times and the
strength of each randomly selected ceramic was obtained. The ANOVA table of the results of the analysis are
as follows.

1. Refer to the ANOVA table at a=0.01, what is the conclusion for testing significance in 3-way interaction Reject/Fail to Reject Ho

2. If sequential test of hypothesis is performed the following are (True or False)?

a. All 2-way interaction effects are going to be tested

b. All main effects are going to be tested

3. What combination of effects will result to a significant result at a=0.01 if should all test are going to be performed among the main effects and two way interactions? (choose 1pair/combination: direction, wheel grit, speed)

ANOVA - Strength
Speed
Direction
Wheel Grit
Speed Direction
Speed Wheel Grit
Direction * Wheel Grit
Speed * Direction * Wheel Grit
Residuals
Sum of Squares
df
80.667
1
140.167
1
2242.667
1
32.667
1
1.500
1
66.667
1
121.500
1
170.000 16
Mean Square
80.667
140.167
2242.667
32.667
1.500
66.667
121.500
10.625
F
7.5922
13.1922
211.0745
3.0745
0.1412
6.2745
11.4353
Р
0.014
0.002
<.001
0.099
0.712
0.023
0.004
Transcribed Image Text:ANOVA - Strength Speed Direction Wheel Grit Speed Direction Speed Wheel Grit Direction * Wheel Grit Speed * Direction * Wheel Grit Residuals Sum of Squares df 80.667 1 140.167 1 2242.667 1 32.667 1 1.500 1 66.667 1 121.500 1 170.000 16 Mean Square 80.667 140.167 2242.667 32.667 1.500 66.667 121.500 10.625 F 7.5922 13.1922 211.0745 3.0745 0.1412 6.2745 11.4353 Р 0.014 0.002 <.001 0.099 0.712 0.023 0.004
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