Anova
3
ANOVA Example Factor Operator 3 Factor Level Operator 1 Operator 2 Operator 3 19 20 24 Output (Y) Data 18 15 20 Change these data and 21 21 18 observe the changes to 16 19 12 the ANOVA Table and 18 17 18 Graph 20 22 20 14 55 22 Sub-group Averages 18.000 24.143 19.143 Overall Average 20.429 Source d.f. SS MS Between 2 149.43 74.71 Error 18 1265.7142857143 70.32 Total 20 1415.14 Operator 1 Operator 2 Ope 10.000 12.000 14.000 16.000 18.000 20.000 22.000 24.000 26.000
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Transcript of Anova
ANOVA Example
Factor Operator
3 Factor Level Operator 1 Operator 2 Operator 319 20 24
Output (Y) Data 18 15 20Change these data and 21 21 18observe the changes to 16 19 12
the ANOVA Table and 18 17 18Graph 20 22 20
14 55 22Sub-group Averages 18.000 24.143 19.143
Overall Average 20.429
Source d.f. SS MSBetween 2 149.43 74.71
Error 18 1265.7142857143 70.32Total 20 1415.14
Operator 1 Operator 2 Operator 310.000
12.000
14.000
16.000
18.000
20.000
22.000
24.000
26.000
ANOVA Calculations
Alpha Op 1 Op 2
0.05 41.29 96.57
Op 1 Op 21 17.163270 83.591849 9.8775514 26.44898
F P 0 51.020411.06 0.366 4 4.591837
Do Not Reject Ho 16 952.1633
All Operattors1918211618201420152119172255242018121820
22
SSTotal = SSBetween
SSBetween
SSError
SSTotal
Operator 1 Operator 2 Operator 310.000
12.000
14.000
16.000
18.000
20.000
22.000
24.000
26.000
ANOVA Calculations
Op 3
11.57 149.43
Op 323.5918370.73469391.306122451.0204081.30612240.7346939
8.1632653 1265.7142857
All Operattors2.045.900.33
19.615.900.18
41.330.18
29.470.332.04
11.762.47
1195.1812.760.185.90
71.045.900.18
2.47 1415.14
SSTotal = SSBetween + SSError
SSBetween
SSError
SSTotal
