环境数据分析课件 (23).pdf
《环境数据分析课件 (23).pdf》由会员分享,可在线阅读,更多相关《环境数据分析课件 (23).pdf(15页珍藏版)》请在得力文库 - 分享文档赚钱的网站上搜索。
1、Chapter 7 ANOVA First things first!Stage1Total variabilityBetween-treatmentvariabilityStage 2 FactorBvariabilityFactorAvariabilityWithin-treatmentvariabilityInteractionvariabilityAnalysis of Variance-ANOVANo-interaction effect means that the factor is independent with no impact on each other.Interac
2、tion effects represent the combined effects of factors on the dependent measure.Analysis of Variance-ANOVAANOVAOne-way ANOVATwo-way ANOVANo Interaction Effect in Two-way ANOVAInteraction Effect in Two-way ANOVAAnalysis of Variance-ANOVAFactor A:level of r as A1,A2,.,Ai,Ar;Factor B:level of s as B1,B
3、2,.,Bj,BS:(Ai,Bj):ij(i=1,2,3,r;j=1,2,3,s)ij means the (Ai,Bj)Factor B1B2BjBsA111121j1sA221222j2s.Aii1i2ijisArr1r2rjrsNo interaction:each varibale affects the outcome directly.Table x Two-Way ANOVA experiments with no interaction effectTwo-way ANOVA-No Interaction Two-way ANOVA ApproachClaim identifi
4、ed:The hypotheses of interest in two-way ANOVA without interaction effect as follows:Significance specified:rii10sjj10 as factor A ith effectij as factor B jth effectH01H02),.2,1,.2,1(,)2,0(,sjriNxijijjiijTwo-way ANOVA-No Interaction Two-way ANOVA ApproachSignificance specified:df identified:Critica
5、l value set:F(A)value:F(dfA,dfe)F(B)value:F(dfB,dfe)F calculated:dfdfA A=r r 1 1 dfdfB B =s s 1 1dfdfe e =(r(r 1)(s1)(s 1)1)=The hypotheses of interest in two-way ANOVA without interaction effect are as follows:=Two-way ANOVA-No Interaction SST=SSA+SSB+SSe dfdfA A=r r 1 1 dfdfB B=s s 1 1 dfdfe e=(=(
6、r r 1)(1)(s s 1)1)dfdfT T=n=n 1=1=rsrs 1 1=risjijTxxSS112)(21211riisjriiAxxsxxSS21211sjjrisjjBxxrxxSSAAAdfSSMS BBBdfSSMS eeedfSSMS 211risjjiijxxxxSSeTwo-way ANOVA-No Interaction Sum of squaresDegree of freedomMean squaresFCritical valuep-valueASSAr-1*BSSBs-1*ErrorSSE(r 1)(s-1)Total SSTrs-1FA F(r-1,(
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 环境数据分析课件 23 环境 数据 分析 课件 23
限制150内