Basic Statistics - exmaple output
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
... ... ... .

Basic Statistics

Protocol output:

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

Basic Statistics