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ANOVA for 1 factor - Example Print E-mail
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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


anova1.jpg

 

Example output:

Analysis of Variance - ANOVA






Task name : Suppliers

Data: All





Total mean : 22.998

Total variance : 9.6829

Mean square : 9.5215

Residual variance : 1.1145

Residual sum of squares : 61.2948

Total sum of squares : 571.2896

Explained sum of squares : 509.9948





No. of factor levels : 5

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




Test of factor influence :


Conclusion Critical value Computed value Probability
Significant 2.5397 114.405 0




Pairwise comparison


Scheffe's method


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:

anova_1.gif

anova_2.gif

 

anova_3.gif

 
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