重复测量设计资料的方差分析-医学统计ppt课件

1、反复丈量设计反复丈量设计资料的方差分析资料的方差分析题题(重点重点)相互独立相互独立提供较多信息提供较多信息组内相关组内相关 反复丈量设计与随机区组设计区别反复丈量设计与随机区组设计区别反复丈量设计反复丈量设计 处置要素在区组间受试者随机分配处置要素在区组间受试者随机分配； 区组内各时间点固定，不能随机分配；区组内各时间点固定，不能随机分配； 区组内实验单位彼此不独立。区组内实验单位彼此不独立。 随机区组设计随机区组设计 处置要素在区组内随机分配；处置要素在区组内随机分配； 每个区组内实验单位彼此独立。每个区组内实验单位彼此独立。 不同药物作用后小白鼠肉瘤分量不同药物作用后小白鼠肉瘤分量(g)

2、 (g) 区组区组A药药B药药C药药10.820.650.511.9820.730.540.231.5030.430.340.281.0540.410.210.310.9350.680.430.241.353.072.171.576.810.6140.4340.3140.4542.02071.05870.54513.6245 n1j2ijX g1iijX n1jijXiX治疗前治疗前 B1=1262+1248=2510 治疗后治疗后 B2=1102+1206=2308离均差平方和与自在度的分解离均差平方和与自在度的分解u受试对象间受试对象间(between subjects)(between

3、subjects)变异变异: :u 横向分组；完全随机方差分析横向分组；完全随机方差分析u受试对象内受试对象内(within subjects)(within subjects)变异变异: :u 纵向分组；区组内不随机纵向分组；区组内不随机( (反复丈量反复丈量) )方差分析方差分析)()( )SSSSSS()SSSS( SSSSSS个个体体内内误误差差处处理理与与时时间间交交互互时时间间个个体体间间误误差差处处理理受受试试对对象象内内受受试试对对象象间间总总个个体体内内误误差差处处理理与与时时间间交交互互时时间间个个体体间间误误差差处处理理受受试试对对象象内内受受试试对对象象间间总总 不讲！

4、不讲！不讲！不讲！126.2 110.2=16124.8 120.6=4.2D De es sc cr ri ip pt ti iv ve e S St ta at ti is st ti ic cs s126.20007.0836310124.80007.8993710125.50007.3377220110.20009.3071110120.60009.7547710115.400010.7036620组别处理组对照组Total处理组对照组Total治疗前治疗后MeanStd. DeviationNT Te es st ts s o of f B Be et tw we ee en n-

5、-S Su ub bj je ec ct ts s E Ef ff fe ec ct ts sMeasure: MEASURE_1Transformed Variable: Average580328.1001580328.1004511.491.000202.5001202.5001.574.2262315.40018128.633SourceInterceptgroupErrorType III Sumof SquaresdfMean SquareFSig.SPSS结果结果T Te es st ts s o of f W Wi it th hi in n- -S Su ub bj je e

6、c ct ts s E Ef ff fe ec ct ts sMeasure: MEASURE_11020.10011020.10055.008.0001020.1001.0001020.10055.008.0001020.1001.0001020.10055.008.0001020.1001.0001020.10055.008.000348.1001348.10018.771.000348.1001.000348.10018.771.000348.1001.000348.10018.771.000348.1001.000348.10018.771.000333.8001818.544333.

7、80018.00018.544333.80018.00018.544333.80018.00018.544Sphericity AssumedGreenhouse-GeisserHuynh-FeldtLower-boundSphericity AssumedGreenhouse-GeisserHuynh-FeldtLower-boundSphericity AssumedGreenhouse-GeisserHuynh-FeldtLower-boundSource治疗前后治疗前后 * groupError(治疗前后)Type III Sumof SquaresdfMean SquareFSig.

8、SPSS结果结果SPSS结果交互作用分析图结果交互作用分析图某个察看对象丈量值合计某个察看对象丈量值合计Mj Mj 共共1515项项某组的丈量值合计某组的丈量值合计Ai Ai 共共3 3项项某个时间点的丈量值合计某个时间点的丈量值合计Bj Bj 共共5 5项项第第i i个处置、第个处置、第j j个时间点的丈量值合计个时间点的丈量值合计Tij Tij 共共1515项项D D e e s s c c r r i i p p t t i i v v e e S S t t a a t t i i s s t t i i c c s s121.00003.535535121.20004.3243551

9、26.20003.633185122.80004.3457715112.40005.128355119.80005.974955123.00003.391165118.40006.4895515118.40005.639155118.00005.431395118.60001.949365118.33334.3204915125.80004.711695128.20005.215365142.60004.827015132.20008.9298915120.80003.701355135.20004.381785130.60003.714845128.86677.2097815诱导方法A方法B

10、方法C方法TotalA方法B方法C方法TotalA方法B方法C方法TotalA方法B方法C方法TotalA方法B方法C方法Total麻醉诱导前收缩压（mmHg）麻醉诱导后t1时相收缩压（mmHg）麻醉诱导后t2时相收缩压（mmHg）麻醉诱导后t3时相收缩压（mmHg）麻醉诱导后t4时相收缩压（mmHg）MeanStd. DeviationNSPSS结果结果M Ma au uc ch hl ly y s s T Te es st t o of f S Sp ph he er ri ic ci it ty yb bMeasure: MEASURE_1.29312.7859.178.6791.000

11、.250Within Subjects Effect诱导时相Mauchlys WApprox.Chi-SquaredfSig.Greenhouse-GeisserHuynh-FeldtLower-boundEpsilonaTests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables isproportional to an identity matrix.May be used to adjust the degrees of f

12、reedom for the averaged tests of significance. Corrected tests are displayed inthe Tests of Within-Subjects Effects table.a. Design: Intercept+group Within Subjects Design: 诱导时相b. T Te es st ts s o of f W Wi it th hi in n- -S Su ub bj je ec ct ts s E Ef ff fe ec ct ts sMeasure: MEASURE_12336.4534584

13、.113106.558.0002336.4532.715860.644106.558.0002336.4534.000584.113106.558.0002336.4531.0002336.453106.558.000837.6278104.70319.101.000837.6275.430154.27219.101.000837.6278.000104.70319.101.000837.6272.000418.81319.101.000263.120485.482263.12032.5778.077263.12048.0005.482263.12012.00021.927Sphericity

14、 AssumedGreenhouse-GeisserHuynh-FeldtLower-boundSphericity AssumedGreenhouse-GeisserHuynh-FeldtLower-boundSphericity AssumedGreenhouse-GeisserHuynh-FeldtLower-boundSource诱导时相诱导时相 * groupError(诱导时相)Type III Sumof SquaresdfMean SquareFSig.T Te es st ts s o of f B Be et tw we ee en n- -S Su ub bj je ec

15、 ct ts s E Ef ff fe ec ct ts sMeasure: MEASURE_1Transformed Variable: Average1155433.08011155433.08014649.223.000912.2402456.1205.783.017946.4801278.873SourceInterceptgroupErrorType III Sumof SquaresdfMean SquareFSig.受受试试者者血血糖糖浓浓度度 (mmol/L) 放放 置置 时时 间间（分分） 受受试试者者编编号号 0 45 90 135 1 532 532 498 465 2

16、532 526 493 470 3 594 588 543 504 4 549 543 532 504 5 571 549 543 493 6 627 627 566 526 7 588 577 543 493 8 532 515 504 448 不能用随机区组设计方差分析；不能用随机区组设计方差分析；一定用单要素实验反复丈量设计方差分析。一定用单要素实验反复丈量设计方差分析。 65. 3F)21,7(01. 0 87. 4F)21,3(01. 0 p误差协方差矩阵满足球形性误差协方差矩阵满足球形性(sphericity)(sphericity)或或复合对称性复合对称性(compound sy

17、mmetry)(compound symmetry)，即主，即主对角线上各方差相等，各协方差相等。对角线上各方差相等，各协方差相等。p假设球对称性质不能满足，那么方差分析假设球对称性质不能满足，那么方差分析的的F F值是偏大的，增大了犯第一类错误的概值是偏大的，增大了犯第一类错误的概率。率。p球对称通常采用球形检验球对称通常采用球形检验(Mauchlys (Mauchlys test of sphericity)test of sphericity)来判别，如不满足来判别，如不满足“球球对称假设，运用对称假设，运用“球对称校正系数对受球对称校正系数对受试对象内一切变异的自在度进展校正。试对象内

18、一切变异的自在度进展校正。Mauchlys Test of SphericitybMeasure: MEASURE_1.06315.8445.008.528.657.333Within Subjects EffectFACTOR1Mauchlys WApprox.Chi-SquaredfSig.Greenhouse-GeisserHuynh-FeldtLower-boundEpsilonaTests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables isproportional to an identity matrix.May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayedin the Tests of Within-Subjects Effects table.a. Design: Intercept Within Subjects Design: