1、2kComponent22Component21Component2Total2Parts2PartsOperators2Operators2ErrorInherent2Parts2ityproducibilRe2ypeatabilitRe2Parts2Gage2Total4321201510Factor LevelResponseN( 1, 1)N( 2, 2)N( 3, 3)N( 4, 4)2Between2Within2Totalk1i2ik12Withink1i2i1k12Between4321201510Factor LevelResponsey14y23y31y4243212015

2、10Factor LevelResponsey1_y2_y3_y4_4321201510Factor LevelResponsey_ _4321201510Factor LevelResponsey_1234_ _4321201510Factor LevelResponsey_14243143_4321201510Factor LevelResponsey_Total DeviationUnexplained DeviationExplained DeviationTotal Deviation = yij y_Unexplained Deviation = yij yi_Explained

3、Deviation = yi y_Total Deviation = Explained Deviation + Unexplained DeviationSourceDegree of FreedomSum of SquareMean SquareFactorf= k 1SSFactorMSFactor = SSFactor fErrore= N kSSErrorMSError = SSError eTotal= N 1SSTotal. iij. i.ijyyyyyy2. iij. i2.ijyyyyyy. iij. i2. iij2. iyyyy2yyyy. iij. i2. iij2.

4、iyyyy2yyyy. i. iij2. iij2. iyyy2yyy2yyyy2. iij2. i2.ijyyyyyySSTotal= SSExplained + SSUnexplained = SSFactor + SSError2within2between*groupwithinVariationgroupsbetweenVariationFwithinbetween*,;FF2within2between*groupwithinVariationgroupsbetweenVariationF543210-1-2-3-4543210ResidualFrequencyHistogram

5、of Residuals2520151050100-10Observation NumberResidualI Chart of ResidualsMean=7.40E-16UCL=8.114LCL=-8.114201510543210-1-2-3-4FitResidualResiduals vs. Fits210-1-2543210-1-2-3-4Normal Plot of ResidualsNormal ScoreResidualResidual Analysis on ANOVA Modelijiij.Yii02ij, 0NSourceSSDFMSE(MS)F-StatisticFac

6、tor ASSAa1MSAErrorSSEa(n1)MSETotalSSTOan11an2i22MSEMSA201510525155StrengtherForceBoxplots of Force by Strength(means are indicated by solid circles)201510526166StrengtherForceDotplots of Force by Strength(group means are indicated by lines)543210-1-2-3-4543210ResidualFrequencyHistogram of Residuals2

7、520151050100-10Observation NumberResidualI Chart of ResidualsMean=7.40E-16UCL=8.114LCL=-8.114201510543210-1-2-3-4FitResidualResiduals vs. Fits210-1-2543210-1-2-3-4Normal Plot of ResidualsNormal ScoreResidualResidual Model Diagnosticsijiij.YSourceSSDFMSE(MS)F-StatisticFactor ASSAa1MSAErrorSSEa(n1)MSE

8、TotalSSTOan12A2n2MSEMSAThere is no difference in calculation of the F-Statistic between a One-Way ANOVA-I Model and a One-Way ANOVA-II Model . The difference lies in the conclusion.2.01.51.00.50.0-0.5-1.0-1.5-2.043210ResidualFrequencyHistogram of Residuals151050543210-1-2-3-4-5Observation NumberResidualI Chart of ResidualsMean=0UCL=4.167LCL=-4.1679897969