07 - ANOVA_Nonparametrics

07 - ANOVA_Nonparametrics - 1-Way...

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Unformatted text preview: 1-Way ANOVASignificance10%αn443ABCEquality of Variance ANOVA Table - ADA's (Normal Populations)14101SourceSSdfMSF25112Between1.2420.621.863.110.216637123Within2.6780.334813Total3.9110Importance13.57%UnimportantEstimates of Group ADA MeansGroupConfidence Interval1-αA1.5±0.5490%B1±0.5490%C0.67±0.6290%Tukey test for pairwise comparison of group ADA meansAr3BBn - r8CC3.38T1.13Equality of Variance ANOVA Table - ADM's (Non-Normal Populations)SourceSSdfMSFBetween1.2420.621.863.110.2166Within2.6780.33Total3.9110Importance13.57%UnimportantEstimates of Group ADM MeansGroupConfidence Interval1-αA1.5±0.5490%B1±0.5490%C0.67±0.6290%Post-HocTukey test for pairwise comparison of group ADM meansAr3BBn - r8CC3.38T1.13Means ANOVA TableSourceSSdfMSFBetween159.91279.9537.633.110.0001RejectWithin1782.13Total176.9110Importance86.94%Very ImportantEstimates of Group MeansGroupConfidence Interval1-αA6±1.3690%B11.5±1.3690%C2±1.5790%Estimates of Group VariancesGroupPEn90% Conf IntA3.3341.293.28B1.6740.912.32C130.711.8Post-HocAssuming Variances EqualTukey test for pairwise comparison of group meansAr3BSigBn - r8CSigSigC3.38T2.84Assuming Variances UnequalGames Howell test for pairwise comparison of group meansAr3BSigBCSigSigCFcriticalp-valueϖ2qFcriticalp-valueϖ2qFcriticalp-valueϖ2qRandomized Complete Block DesignαMean10.711315.43ANOVA Table5%ABCMeanSourceSSdfMSF112161514.33Treatment40.9566.833.1330.0439Reject211101411.67Block77.81238.917.833.890.0003Reject310111712.67Error26.19122.18412151915.33Total144.9520Fcriticalp-value2-Way ANOVA^ Press the + button to see row means. Scroll down for column and cell meanThis template can be used only if there are an equal number of replicaC1C2C3C4R1158147139144α154143135145ANOVA Table5%146140142139SourceSSdfMSF150144139136Row128.63264.313.593.260.0380RejectColumn1295.423431.8124.082.870.0000RejectInteraction159.71626.621.482.360.2112Error645.53617.93Total2229.2547Fcriticalp-valueKruskal-Wallis ANOVA - Independent Ordinal DataGroupDataRank3114514GroupRnTest Statistic213810190615H12.3631561625669.3341601732564.17Null Hypothesis514715616518723085%8240110.0021Reject92287102441311225512242123Total18133224143193Further Analysis1531511163319221732763Sig3183172Avg. RH: All the Groups have the same distributionAt an αofp-valueMann-Whitney U TestThe Learning Curve methodPost-hoc for KW ANOVAGroupDataRankCountsTest StatisticRank Sums126510115U32.51312.5225742152152.53274164243252391Test StatisticE[U]112.5628823z-3.3224.1172628.5826911927012Null Hypothesis5%1027213.50.0009Reject1125950.9995122606.50.0005Reject1328018142831915250316185201718721181922719198302019026211882322175172317213.5241606.525193282618823271892528196292917315301628.5In case of large samples (n1or n2> 10)σ(U)At an αofp-valueH:μ1= μ2H:μ1>= μ2H:μ1<= μ2Friedman ANOVA - Ordinal Dependent DataCruise LinesR31213812345678910RowSumResults11236n1522136k331326421369.7353126631260.0077712368312692136101236112136123126131236143126153126X2p-valueWilcoxon's Signed Rank Test...
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This note was uploaded on 12/13/2010 for the course LEEDS BCOR 1020 taught by Professor Heatheradams during the Spring '08 term at Colorado.

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07 - ANOVA_Nonparametrics - 1-Way...

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