One-way ANOVA: machine 1, machine 2, machine 3, machine 4
Method
Null hypothesis
All means are equal
Alternative hypothesis At least one mean is different
Significance level α = 0.05
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
Factor 4 machine 1, machine 2,
machine 3, machine 4
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 3 51.24 17.080
17.01 0.000
Error 20 20.08 1.004
Total 23 71.32
Model Summary
S R-sq
R-sq(adj) R-sq(pred)
1.00200 71.85%
67.62% 59.46%
Means
Factor N Mean
StDev 95% CI
machine 1 6 7.100 1.043 ( 6.247, 7.953)
machine 2 6 9.300 1.018 ( 8.447, 10.153)
machine 3 6 9.600 0.955 ( 8.747, 10.453)
machine 4 6 11.200 0.990 (10.347, 12.053)
Pooled StDev = 1.00200
Tukey Pairwise Comparisons
Grouping Information Using the Tukey Method and 95% Confidence
Factor N Mean
Grouping
machine 4 6 11.200 A
machine 3 6 9.600 A B
machine 2 6 9.300 B
machine 1 6 7.100 C
Means that do not share a letter are significantly different.
Tukey Simultaneous Tests for Differences of Means
Difference SE
of
Adjusted
Difference of Levels of Means
Difference 95%
CI T-Value P-Value
machine 2 - machine 1
2.200 0.579 ( 0.580,
3.820) 3.80
0.006
machine 3 - machine 1
2.500 0.579 ( 0.880,
4.120) 4.32
0.002
machine 4 - machine 1
4.100 0.579 ( 2.480,
5.720) 7.09
0.000
machine 3 - machine 2
0.300 0.579 (-1.320,
1.920) 0.52
0.954
machine 4 - machine 2
1.900 0.579 ( 0.280,
3.520) 3.28
0.018
machine 4 - machine 3
1.600 0.579 (-0.020,
3.220) 2.77
0.054
Individual confidence level = 98.89%
Tukey Simultaneous 95% CIs
Fisher Pairwise Comparisons
Grouping Information Using the Fisher LSD Method and 95% Confidence
Factor N Mean
Grouping
machine 4 6 11.200 A
machine 3 6 9.600 B
machine 2 6 9.300 B
machine 1 6 7.100 C
Means that do not share a letter are significantly different.
Fisher Individual Tests for Differences of Means
Difference SE
of
Adjusted
Difference of Levels of
Means
Difference 95%
CI T-Value P-Value
machine 2 - machine 1
2.200 0.579 ( 0.993,
3.407) 3.80
0.001
machine 3 - machine 1
2.500 0.579 ( 1.293,
3.707) 4.32
0.000
machine 4 - machine 1
4.100 0.579 ( 2.893,
5.307) 7.09
0.000
machine 3 - machine 2
0.300 0.579 (-0.907,
1.507) 0.52
0.610
machine 4 - machine 2
1.900 0.579 ( 0.693,
3.107) 3.28
0.004
machine 4 - machine 3
1.600 0.579 ( 0.393,
2.807) 2.77
0.012
treatments differ significantly
option 1),2),3),5),6),
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