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One-WayANOVA.xls
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ASFData

Supplier 1 Supplier 2 Supplier 3 Supplier 4
18.5 26.3 20.6 25.4
24 25.3 25.2 19.9
17.2 24 20.8 22.6
19.9 21.2 24.7 17.5
18 24.5 22.9 20.4

COMPUTE

ANOVA: Single Factor Calculations
c 4
SUMMARY n 20
Groups Count Sum Average Variance
Supplier 1 5 97.6 19.52 7.237
Supplier 2 5 121.3 24.26 3.683
Supplier 3 5 114.2 22.84 4.553
Supplier 4 5 105.8 21.16 8.903
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 63.2855 3 21.0952 3.4616 0.0414 3.2389
Within Groups 97.504 16 6.0940
Total 160.7895 19
Level of significance 0.05

COMPUTE_FORMULAS

ANOVA: Single Factor Calculations
c 4
SUMMARY n 20
Groups Count Sum Average Variance
Supplier 1 5 97.6 19.52 7.237
Supplier 2 5 121.3 24.26 3.683
Supplier 3 5 114.2 22.84 4.553
Supplier 4 5 105.8 21.16 8.903
ANOVA
Source of Variation SS df MS F P - value F crit
Between Groups 63.2855 3 21.0952 3.4616 0.0414 3.2389
Within Groups 97.504 16 6.0940
Total 160.7895 19
Level of significance 0.05

TK4

Tukey Kramer Multiple Comparisons
Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Supplier 1 19.52 5 Group 1 to Group 2 4.74 1.1040 4.4712 Means are different
2: Supplier 2 24.26 5 Group 1 to Group 3 3.32 1.1040 4.4712 Means are not different
3: Supplier 3 22.84 5 Group 1 to Group 4 1.64 1.1040 4.4712 Means are not different
4: Supplier 4 21.16 5 Group 2 to Group 3 1.42 1.1040 4.4712 Means are not different
Group 2 to Group 4 3.1 1.1040 4.4712 Means are not different
Other Data Group 3 to Group 4 1.68 1.1040 4.4712 Means are not different
Level of significance 0.05
Numerator d.f. 4
Denominator d.f. 16
MSW 6.094
Q Statistic 4.05

TK4_FORMULAS

Tukey Kramer Multiple Comparisons
Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Supplier 1 19.52 5 Group 1 to Group 2 4.74 1.1039927536 4.4711706521 Means are different
2: Supplier 2 24.26 5 Group 1 to Group 3 3.32 1.1039927536 4.4711706521 Means are not different
3: Supplier 3 22.84 5 Group 1 to Group 4 1.64 1.1039927536 4.4711706521 Means are not different
4: Supplier 4 21.16 5 Group 2 to Group 3 1.42 1.1039927536 4.4711706521 Means are not different
Group 2 to Group 4 3.1 1.1039927536 4.4711706521 Means are not different
Other Data Group 3 to Group 4 1.68 1.1039927536 4.4711706521 Means are not different
Level of significance 0.05
Numerator d.f. 4
Denominator d.f. 16
MSW 6.094
Q Statistic 4.05

TK3

Tukey Kramer Multiple Comparisons
Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Supplier 1 19.52 5 Group 1 to Group 2 4.74 1.1040 4.4712 Means are different
2: Supplier 2 24.26 5 Group 1 to Group 3 3.32 1.1040 4.4712 Means are not different
3: Supplier 3 22.84 5 Group 2 to Group 3 1.42 1.1040 4.4712 Means are not different
Other Data
Level of significance 0.05
Numerator d.f. 4
Denominator d.f. 16
MSW 6.094
Q Statistic 4.05

TK5

Tukey Kramer Multiple Comparisons
Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Supplier 1 19.52 5 Group 1 to Group 2 4.74 1.1040 4.4712 Means are different
2: Supplier 2 24.26 5 Group 1 to Group 3 3.32 1.1040 4.4712 Means are not different
3: Supplier 3 22.84 5 Group 1 to Group 4 1.64 1.1040 4.4712 Means are not different
4: Supplier 4 21.16 5 Group 1 to Group 5 19.52 0.0000 0.0000 0
5: Group 2 to Group 3 1.42 1.1040 4.4712 Means are not different
Group 2 to Group 4 3.1 1.1040 4.4712 Means are not different
Other Data Group 2 to Group 5 24.26 0.0000 0.0000 0
Level of significance 0.05 Group 3 to Group 4 1.68 1.1040 4.4712 Means are not different
Numerator d.f. 4 Group 3 to Group 5 22.84 0.0000 0.0000 0
Denominator d.f. 16 Group 4 to Group 5 21.16 0.0000 0.0000 0
MSW 6.094
Q Statistic 4.05

TK6

Tukey Kramer Multiple Comparisons
Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Supplier 1 19.52 5 Group 1 to Group 2 4.74 1.1040 4.4712 Means are different
2: Supplier 2 24.26 5 Group 1 to Group 3 3.32 1.1040 4.4712 Means are not different
3: Supplier 3 22.84 5 Group 1 to Group 4 1.64 1.1040 4.4712 Means are not different
4: Supplier 4 21.16 5 Group 1 to Group 5 19.52 0.0000 0.0000 0
5: Group 1 to Group 6 19.52 0.0000 0.0000 0
6: Group 2 to Group 3 1.42 1.1040 4.4712 Means are not different
Group 2 to Group 4 3.1 1.1040 4.4712 Means are not different
Other Data Group 2 to Group 5 24.26 0.0000 0.0000 0
Level of significance 0.05 Group 2 to Group 6 24.26 0.0000 0.0000 0
Numerator d.f. 4 Group 3 to Group 4 1.68 1.1040 4.4712 Means are not different
Denominator d.f. 16 Group 3 to Group 5 22.84 0.0000 0.0000 0
MSW 6.094 Group 3 to Group 6 22.84 0.0000 0.0000 0
Q Statistic 4.05 Group 4 to Group 5 21.16 0.0000 0.0000 0
Group 4 to Group 6 21.16 0.0000 0.0000 0
Group 5 to Group 6 0 0.0000 0.0000 0

TK7

Tukey Kramer Multiple Comparisons
Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Supplier 1 19.52 5 Group 1 to Group 2 4.74 1.1040 4.4712 Means are different
2: Supplier 2 24.26 5 Group 1 to Group 3 3.32 1.1040 4.4712 Means are not different
3: Supplier 3 22.84 5 Group 1 to Group 4 1.64 1.1040 4.4712 Means are not different
4: Supplier 4 21.16 5 Group 1 to Group 5 19.52 0.0000 0.0000 0
5: Group 1 to Group 6 19.52 0.0000 0.0000 0
6: Group 1 to Group 7 19.52 0.0000 0.0000 0
7: Group 2 to Group 3 1.42 1.1040 4.4712 Means are not different
Group 2 to Group 4 3.1 1.1040 4.4712 Means are not different
Other Data Group 2 to Group 5 24.26 0.0000 0.0000 0
Level of significance 0.05 Group 2 to Group 6 24.26 0.0000 0.0000 0
Numerator d.f. 4 Group 2 to Group 7 24.26 0.0000 0.0000 0
Denominator d.f. 16 Group 3 to Group 4 1.68 1.1040 4.4712 Means are not different
MSW 6.094 Group 3 to Group 5 22.84 0.0000 0.0000 0
Q Statistic 4.05 Group 3 to Group 6 22.84 0.0000 0.0000 0
Group 3 to Group 7 22.84 0.0000 0.0000 0
Group 4 to Group 5 21.16 0.0000 0.0000 0
Group 4 to Group 6 21.16 0.0000 0.0000 0
Group 4 to Group 7 21.16 0.0000 0.0000 0
Group 5 to Group 6 0 0.0000 0.0000 0
Group 5 to Group 7 0 0.0000 0.0000 0
Group 6 to Group 7 0 0.0000 0.0000 0