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变异数分析. 庄文忠 副教授 世新大学行政管理学系 [email protected]. 课程大纲. 变异数分析 ( ANOVA) 的基本原理 单因子变异数分析 ( One-way ANOVA) 事后多重比较 ( Post Hoc tests) 双因子变异数分析 ( Two-way ANOVA )— 无交互作用 ( with interaction) 双因子变异数分析 ( Two-way ANOVA)— 有交互作用 (without interaction). 变异数分析 ( ANOVA). - PowerPoint PPT Presentation
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[email protected]/8/10SPSS()112013/8/10SPSS()2(ANOVA)(One-way ANOVA)(Post Hoc tests)(Two-way ANOVA)(with interaction)(Two-way ANOVA)(without interaction)2(ANOVA)2013/8/10SPSS()3(Analysis of Variance, ANOVA)FTT()(between)(within)32013/8/10SPSS()4ABCABCXX42013/8/10SPSS()5YXABC Y1,Y2,Y3,Y4,Y5,,Yn AY11,Y12,Y13,Y14,Y15,,Yn1 BY21,Y22,Y23,Y24,Y25,,Yn2 CY31,Y32,Y33,Y34,Y35,,Yn3
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6 SST = SSW + SSB () n-1 =n-r +r-1 ()7Source of VariationSun SquaredfMean SquareF-ratioS.S.Between r-1MSB=SSB/r-1S.S.Within N-rMSW=SSW/n-rSSTN-1
8(Post Hoc tests)2013/8/10SPSS()9FF (contrasts) Post Hoc(Post Hoc comparisons)92013/8/10SPSS()10Scheffe methodTukey methodTukeypowerLSD(Least Significant Difference)kZBonferroni methodLSDTukeyScheffe10ANOVA()Source of VariationSun SquaredfMean SquareF-ratioSSAr-1SSB c-1SSWithin(r-1)(c-1)SST(rc)-1
11ANOVA()Source of VariationSun SquaredfMean SquareF-ratioS.S.Between rc-1SSA r-1SSBc-1SSAB
(r-1)(c-1)SSWithinrc(n-1)SSTnrc-1
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