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Basic Statistics - exmaple output |
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Task: Analyze statistical process bahaviour in refuse incinerating plant
Data:
| Solid particles [mg] |
SOx Immission [mg] |
Output [kW] |
Temperature [C] |
| 64.2 |
13.58 |
214.3 |
482.8 |
| 54.9 |
10.03 |
230.7 |
488.4 |
| 77.1 |
7.58 |
230.6 |
490.4 |
| 69.5 |
6.55 |
243.6 |
500.2 |
| 75.3 |
7.88 |
233.1 |
498.2 |
| 66.7 |
13.02 |
236.7 |
505.2 |
| ... |
... |
... |
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Protocol output:
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Basic statistical analysis |
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Task name : |
Combustion |
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Smoothing window width : |
5 |
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Hypothesized value : |
0 |
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Density smoothness : |
0.5 |
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Significance level : |
0.05 |
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Column name : |
Solid part. |
SOx [mg] |
Output [kW] |
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No of valid data : |
80 |
80 |
80 |
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Classical parameters : |
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Column name : |
Solid part. |
SOx [mg] |
Output [kW] |
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Average : |
74.86375 |
1.8.4729 |
240.8825 |
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CI lower bound : |
71.84633271 |
8.044567739 |
235.9986499 |
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CI upper bound : |
77.88116729 |
9.406682261 |
245.7663501 |
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Variance : |
183.8476566 |
9.366009731 |
481.6282975 |
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Std. deviation : |
13.55904335 |
3.060393722 |
21.94603147 |
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Skewness |
1.994924927 |
-0.049785377 |
-1.254578876 |
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Deviance from 0 : |
Significant |
Insignificant |
Significant |
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Kurtosis : |
9.609259925 |
3.713645221 |
5.882952277 |
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Deviance from 3 : |
Significant |
Insignificant |
Significant |
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Half-sum |
89.1 |
7.355 |
224.1 |
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Modus : |
68.77441358 |
7.779583333 |
250.6711728 |
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t-test |
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Tested value : |
0 |
0 |
0 |
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Difference : |
Significant |
Significant |
Significant |
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Computed : |
49.38414302 |
25.50141246 |
98.1734935 |
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Theoretical : |
1.99045021 |
1.99045021 |
1.99045021 |
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Probability : |
1.88E-61 |
3.51E-40 |
0 |
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Left confidence interval: |
72.34065094 |
8.156139651 |
236.7987302 |
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Right confidence interval: |
77.38684906 |
9.295110349 |
244.9662698 |
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Robust parameters : |
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Column name : |
Solid part. |
SOx [mg] |
Output [kW] |
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Median : |
72.8 |
8.405 |
244.2 |
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CI lower bound : |
70.31189154 |
7.262501215 |
240.5440039 |
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CI upper bound : |
75.28810846 |
9.547498785 |
247.8559961 |
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Std. deviation of median (MAD) : |
1.25002296 |
0.573990135 |
1.836768432 |
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Median variance : |
1.562557402 |
0.329464675 |
3.373718272 |
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10% Average : |
73.6625 |
8.740555556 |
242.3555556 |
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10% CI lower bound : |
71.4877188 |
8.072370546 |
238.0980395 |
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10% CI upper bound : |
75.8372812 |
9.408740566 |
246.6130717 |
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10% Std. deviation : |
6.784555956 |
2.212839295 |
13.21540145 |
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10% Variance : |
46.03019953 |
4.896657747 |
174.6468354 |
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20% Average : |
73.3203125 |
8.65265625 |
242.85 |
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20% CI lower bound : |
71.3832746 |
7.970424566 |
238.9033392 |
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20% CI upper bound : |
75.2573504 |
9.334887934 |
246.7966608 |
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20% Std. deviation : |
4.699914152 |
1.700139467 |
9.865940388 |
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20% Variance : |
22.08919304 |
2.890474209 |
97.33677975 |
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40% Average : |
73.22916667 |
8.55875 |
243.4333333 |
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40% CI lower bound : |
71.44740454 |
7.966095407 |
239.8365252 |
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40% CI upper bound : |
75.0109288 |
9.151404593 |
247.0301414 |
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40% Std. deviation : |
2.795437739 |
0.983444174 |
5.724443702 |
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40% Variance : |
7.814472152 |
0.967162443 |
32.7692557 |
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Runs Test : |
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Conclusion : |
Data Are Inependent |
Data Are Inependent |
Data Are Inependent |
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Small sample analysis (for N<21) |
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N : |
80 |
80 |
80 |
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Normality test: |
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Column name : |
Solid part. |
SOx [mg] |
Output [kW] |
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Average : |
74.86375 |
1.8.4729 |
240.8825 |
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Variance : |
183.8476566 |
9.366009731 |
481.6282975 |
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Skewness |
1.994924927 |
-0.049785377 |
-1.254578876 |
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Kurtosis : |
9.609259925 |
3.713645221 |
5.882952277 |
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Normality : |
Rejected |
Accepted |
Rejected |
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Computed : |
16.85660391 |
0.089154606 |
10.99236585 |
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Theoretical : |
5.991464547 |
5.991464547 |
5.991464547 |
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Probability : |
0.000218592 |
0.956401665 |
0.004102401 |
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Outliers : |
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Column name : |
Solid part. |
SOx [mg] |
Output [kW] |
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Homogeneity : |
Rejected |
Accepted |
Rejected |
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Number of outliers found : |
4 |
0 |
3 |
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Lower limit for outlier : |
45.0475 |
-1.358 |
182.631 |
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Upper limit for outlier : |
101.8525 |
18.118 |
300.569 |
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Autocorrelation : |
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Autocorrelation order : |
11 |
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Column name : |
Solid part. |
SOx [mg] |
Output [kW] |
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Count : |
-1 |
-1 |
-1 |
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Autocorrelation order 1 |
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Correlation coefficient : |
0.210578152 |
0.069355006 |
0.632370968 |
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Probability : |
0.031247109 |
0.271810257 |
2.04E-10 |
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Conclusion : |
Insignificant |
Insignificant |
Significant |
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Autocorrelation order 2 |
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Correlation coefficient : |
0.129096782 |
0.029657857 |
0.24618899 |
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Probability : |
0.129984296 |
0.398296497 |
0.014900015 |
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Conclusion : |
Insignificant |
Insignificant |
Significant |
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Autocorrelation order 3 |
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Correlation coefficient : |
0.205172121 |
0.164713699 |
0.016957299 |
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Probability : |
0.036724872 |
0.076141475 |
0.441812142 |
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Conclusion : |
Insignificant |
Insignificant |
Insignificant |
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QC-Expert 