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Data File C:1Documents and Settings5smahirilMy Docu Variable: DIPE in GW tp <br /> (pglL) <br /> Raw Statistics Normal Distribution Test <br /> Number of Valid Samples 12 Shapiro-Wilk Test Statisitic 0.485057 <br /> Number of Unique Samples 3 Shapiro-Wilk 5%Critical Value 0-859 <br /> Minimum 0.25 Data not normal at 5%significance level <br /> Maximum 13 <br /> Mean 2.125 95%UCL(Assuming Normal Distribution) <br /> Median 0.25 Student's-t UCL 4.41931 <br />,- Standard Deviation 4.42552 ., <br /> a Variance 19.58523 Gamma Distribution Test i <br />{ Coefficient of Variation 2.082598 A Test Statistic 3.393695 <br /> Skewness 2.150475 A-D 5%Critical Value 0.79812 <br /> K-S Test Statistic 0.52662 I <br /> Gamma Statistics K-S 5%Critical Value 0.260935 <br /> k hat 0.432289 Data do not follow gamma distribution , <br /> 7 k star(bias corrected) 0.379772 at 5%significance level <br />'- Theta hat 4-915694 <br /> i Theta star 5.595459 95%UCLs(Assuming Gamma Distribution) ' <br /> nu hat 10.37493 Approximate Gamma UCL 5.704116 <br /> nu star 9.114533 Adjusted Gamma UCL 6.715918 - <br /> E Approx.Chi Square Value(.05) 3.39551 .' <br />�- Adjusted Level of Significance 0.02896 Lognormal Distribution Test <br /> Adjusted Chi Square Value 2883952 Shapiro-Wilk Test Statisitic 0.471802 <br /> Shapiro-Wilk 5%Critical Value 0.859 <br /> Log-transformed Statistics Data not Iognormai at 5%significance level <br /> Minimum oflog data -1.386294 - - <br /> Maximum of log data 2.564949 95%UCLs(Assuming Lognormal Distribution) <br /> j Mean of log data' -0.749617 95%H-UCL 8.118661 <br /> Standard Deviation of log data 1.488009 95%Chebyshev(MVUE)UCL 3.717041 <br /> 1 Variance of log data 2.21417 97.5%Chebyshev(MVUE)UCL 4.798144 <br /> i 99%Chebyshev(MVUE)UCL 6.921764 <br /> j 95%Non-parametric UCLs <br /> CLT UCL 4.226362 <br /> Adj-CLT UCL(Adjusted for skewness) 5.073781 i <br />+ Mod-t UCL(Adjuslod for skewness) 4.55149 <br /> 1 Jackknife UCL 4.41931 <br /> Standard Eootsirap UCL N/R ' <br /> Bootstrap-t UCL Ni <br /> RECOMMENDATION Hall's Bootstrap UCL NIR <br /> I Data are Non-parameldr(0OS) Pcrccrtiie Bootstrap UCL I' NIR <br /> SCA Bootstrap UCL N/R i <br /> Use 999/o Chebyshev(Mean,Sd)UCL 95%Chebyshev(Mean,Sd)UCL _7.69365tl <br /> 97.5%Chebyshev(Mean,Sd)UCL 10.10322 - <br /> 99%Chebyshev(Mean,Sd)UCL 14.83634 " <br /> Recommended UCL exceeds the maximum observation <br /> Consider using 95%or 97.5%Chebyshev(Mean,Sd)UCL <br /> � I <br /> r <br /> 1 ' <br /> i <br /> r I <br /> k <br /> i <br />: <br /> i <br /> ' i <br />