SPSS 软件 6. 非参数检验

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SPSS 软件 6. 非参数检验. 说明:非参数检验这章,请看下面吴喜之教授的讲义,更为具体的可参看 《 统计分析与 SPSS 的应用 》 薛薇 编著 人大出版社, 2002.7 第二次印刷. 非参数检验的概念. 是指在总体不服从正态分布且分布情况不明时,用来检验数据资料是否来自同一个总体假设的一类检验方法。由于这些方法一般不涉及总体参数故得名。 这类方法的假定前提比参数性假设检验方法少的多,也容易满足,适用于计量信息较弱的资料且计算方法也简单易行,所以在实际中有广泛的应用。. 非参数检验的过程. 1. Chi-Square test 卡方检验 - PowerPoint PPT Presentation

Transcript of SPSS 软件 6. 非参数检验

  • SPSS 6.SPSS 2002.7

  • 1. Chi-Square test 2. Binomial test 3. Runs test 4. 1-Sample Kolmogorov-Smirnov test -5. 2 independent Samples Test 6. K independent Samples Test K7. 2 related Samples Test 8 . K related Samples Test

  • 6.1 Chi-Square test (5:4:1)1300LMT123456data12-01300casesAnalyze> Nonparametric Tests>Chi SquareTest Variable: lmt Expected ValuesAll categories equalsig=.111>0.51sidenumber6casesnumber

  • 1681234567552318112620152.8:1:1:1:1:1:12Cases 7Data>Weight CasesAnalyze> Nonparametric Tests>Chi SquareTest Variable:Expected Values 2.8:1:1:1:1:1:1 sig=.256>0.52.8:1:1:1:1:1:1

  • 6.2 Binomial test P1-P131tbh1A2Adata12-0331casesAnalyze> Nonparametric Tests> Binomial Test Variable: tbhTest Proportion0.5sig=1.00>0.51sidenumber2casesnumber

  • 6902319102Cases 21 19 0 4Data>Weight CasesAnalyze> Nonparametric Tests> Binomial Test Variable:Test Proportion0.9sig=.193>0.590

  • 6.3 Runs test 1 31tbh1A2AABdata12-0331casesAnalyze> Nonparametric Tests> Runs Test Variable: tbhCut PointCustom2case31Run21sig=.142>0.5AB

  • 6.4 - 1-Sample Kolmogorov-Smirnov test KSNormalUniformPoissonExponential 7.5alfa2608data12-051zd 2608cases010Analyze> Nonparametric Tests>1-Sample K-S Test Variable: zdTest Distribution Poisson3.8673sig=.850>0.5

  • 6.5 2 independent Samples TestMann-Whitney U:KS ZMoses extreme reactionsWald Wolfwitz Runs: data12-062 zbycss 20casesAnalyze> Nonparametric Tests> 2 independent Samples Test Variable: ycssGrouping zb12Test typesigsig>.5

  • 6.6 K independent Samples TestMedianKWJTMann-Whitney U data12-072 ffydpl 21casesAnalyze> Nonparametric Tests> K independent Samples Test Variable: ydpl Grouping ff14Test typesigK-Wsig.009.5

  • 6.7 2 related Samples Test 15data12-082 dlqdlh 21casesAnalyze> Nonparametric Tests> 2 related Samples Test Pairs: dlqdlhTest typesigsig
  • 6.8 K related Samples Test Cochran Q1 0FriedmanKendallH00() 91 2 3data12-093 AB,C 27casesAnalyze> Nonparametric Tests> k related Samples Test Variables: a b cTest typesigsig
  • Monte Carlo

  • rank RiXi

  • rank

  • c2Monte Carlotable7.sav541

  • table7.sav541

  • pp0.000PearsonOiEiObserved NExpected N

  • SPSS SPSSPearsonOiEi

  • SPSS table7.sav(number:)AnalyzeNonparametric TestsChi Square(incomeExpected ValuesAll categories equalValues541Exact(Exact)Monte CarloMonte CarloAsymptotic onlyOK

  • Kolmogorov-Smirnov Kolmogorov-SmirnovK-SSPSS(Normal)(Poisson) (Uniform)(Exponential)SPSS

  • ksdata.savK-S sig=.074>.05(Normal)

  • sig=.000
  • sig=.664>.05(Exponential)

  • SPSS ksdata.savAnalyzeNonparametric Tests1 Sample K-SxVariable ListTest DistributionNormalPoissonUniformExponentialExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • run test 01run1.sav0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 001014031R=70m=151n=10

  • run test 01pBernoullimn01RRN=m+n

  • run test RMonte Carlo:

  • run test 01 (run2.sav): 30 71.6 71.0 71.8 70.3 70.5 72.9 71.0 71.0 70.1 71.8 71.9 70.3 70.9 69.3 71.2 67.3 67.6 67.7 67.6 68.1 68.0 67.5 69.8 67.5 69.7 70.0 69.1 70.4 71.0 69.9

  • run test 01011 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 SPSS

  • SPSS run2.savAnalyzeNonparametric TestsRunslengthVariable ListCut PointMedianMeanModeCustom01run1.sav(ExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Wilcoxon (Mann-Whitney)Wilcoxon (Mann-Whitney)mnm+nWXWYWilcoxonp-WXWY

  • Wilcoxon (Mann-Whitney)GDP.sav1215GDPGDPm1m2H0: m1=m2Ha: m1m22GDP1H0: m1=m2Ha: m1
  • Wilcoxon (Mann-Whitney)Mann-WhitneyWilcoxonH0: m1=m2Ha: m1m2p-0.016Exact Sig. (2-tailed)H0: m1=m2Ha: m1
  • SPSS GDP.savAnalyzeNonparametric Tests2 Independent SamplesgdpTest Variable List12areaGrouping VariableDefine Groups12Test TypeMannWhitneyExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Kolmogorov-Smirnov Kolmogorov-Smirnovn1n2S1 (X)S2 (X)DjS1 (Xj)-S2 (Xj)

  • twonp.savn1=30n2=25SPSS

  • SPSS twonp.savAnalyzeNonparametric Tests2 Independent SamplesdurationTest Variable List12typeGrouping VariableDefine Groups12Test TypeKolmogorov-Smirnov ZExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Wald-Wolfowitz Wald-WolfowitzWald-Wolfowitz runs testKolmogorov-SmirnovWald-WolfowitzRtwonp.savSPSSWald-Wolfowitz

  • Test TypeWald-Wolfowitz runs

  • Kruskal-Wallis Wilcoxon-Mann-WhitneykkRii=1,,kRi

  • Kruskal-Wallis qiFi(x)xF(x+qi)qiF1,,FkH0F1==FkHaFi(x)=F(x+qi)i=1,,kFqiKruskal-Wallis

  • Kruskal-Wallis niiNk-1c2Kruskal-Wallis

  • house.sav 203025SPSS

  • SPSS house.savAnalyzeNonparametric TestsK Independent SamplespriceTest Variable List123groupGrouping VariableDefine Groups123Test TypeKruskal-Wallis HExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Jonckheere-Terpstra Kruskal-WallisKruskal-WallisJonckheere-Terpstraij

  • house.sav SPSSJonckheere -Terpstra

  • SPSS house.savAnalyzeNonparametric TestsK Independent SamplespriceTest Variable List123groupGrouping VariableDefine Groups123Test TypeJonckheere-TerpstraExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Brown-Mood kniiNkO1ii=1,,kO2ii=1,,kOij2knii=1,,kR1O11+O12++ O1kR2O21+O22++ O2kPearson c2

  • house.sav

  • SPSS house.savAnalyzeNonparametric TestsK Independent SamplespriceTest Variable List123groupGrouping VariableDefine Groups123Test TypeMedianExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Friedman FFriedman Friedman

  • Friedman ktreatmentbkbkb

  • fert.sav

  • Friedman FriedmanKruskal-WallisF1,,FkH0F1==FkHaFi(x)=F(x+qi)i=1,,kFqiKruskal-Wallis, .Rijji

  • Friedman , Friedmank-1c2

  • fert.sav

  • SPSS fert.savAnalyzeNonparametric TestsK Related SamplesabcTest Variable ListTest TypeFriedmanExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Kendallmn

  • Kendall1+2++n=n(n+1)/2mmn(n+1)/2m(n+1)/2mRii=1,,nRiSS

  • KendallKendallKendalls Coefficient of ConcordanceKendallWKendalls W

  • school.sav 415

  • school.sav SPSSKendall

  • SPSS school.savAnalyzeNonparametric TestsK Related Sampless1s2s15 Test Variable ListTest TypeKendalls W ExactExactMonte CarloMonte CarloAsymptotic onlyOK

  • Cochran Friedman0101Cochran water.sav20410

  • water.sav 2020011Ni4LiN NiNiCochranNi i1Ljj11N

  • CochranCochranCochrans QkbkQbk-1c2

  • water.sav CochranSPSS

  • SPSS water.savAnalyzeNonparametric TestsK Related Samplesc1s2c3c4 Test Variable ListTest TypeCochrans Q ExactExactMonte CarloMonte CarloAsymptotic onlyOK