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ANOVA for 1 factor - Example |
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Iron ore suppliers classification
Original data:
| Origin |
Quality |
| UKR |
18.8 |
| UKR |
18.36 |
| UKR |
20.55 |
| GER |
22.76 |
| BRA |
25.93 |
| BRA |
24.4 |
| BRA |
25.77 |
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Example output:
| Analysis of Variance - ANOVA |
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| Task name : |
Suppliers |
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| Data: |
All |
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| Total mean : |
22.998 |
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| Total variance : |
9.6829 |
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| Mean square : |
9.5215 |
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| Residual variance : |
1.1145 |
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| Residual sum of squares : |
61.2948 |
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| Total sum of squares : |
571.2896 |
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| Explained sum of squares : |
509.9948 |
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| No. of factor levels : |
5 |
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| Column |
No. of values |
Factor effects |
Means |
| UKR |
16 |
-4.765541667 |
18.2325 |
| GER |
12 |
-5.22E-02 |
22.94583333 |
| BRA |
16 |
2.752583333 |
25.750625 |
| SWE |
8 |
0.311958333 |
23.31 |
| ARG |
8 |
1.753208333 |
24.75125 |
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| Test of factor influence : |
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| Conclusion |
Critical value |
Computed value |
Probability |
| Significant |
2.5397 |
114.405 |
0 |
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| Pairwise comparison |
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| Scheffe's method |
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| Compared pair |
Difference |
Significance |
Probability |
| UKR - GER |
-4.7133 |
Significant |
0 |
| UKR - BRA |
-7.5181 |
Significant |
0 |
| UKR - SWE |
-5.0775 |
Significant |
0 |
| UKR - ARG |
-6.5188 |
Significant |
0 |
| GER - BRA |
-2.8048 |
Significant |
0 |
| GER - SWE |
-0.3642 |
Insignificant |
0.9654 |
| GER - ARG |
-1.8054 |
Significant |
0.0127 |
| BRA - SWE |
2.4406 |
Significant |
0.0001 |
| BRA - ARG |
0.9994 |
Insignificant |
0.3234 |
| SWE - ARG |
-1.4413 |
Insignificant |
0.1299 |
Graphical diagnostics:
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QC-Expert 