上海师范大学2004年博士考试《心理统计与实验设计》

《心理统计与实验设计》(2004博士生招生考卷)一、 某校对学生课外活动进行调查，调查有两个因素，一是性别，另一个为课外活动内容(分体育、文娱和阅读三类)，现己获得男女学生各自最喜欢的活动内容的人数，想了解男女学生在课外活动内容上是否有显著差异，该用什么统计方法？说明理由(10分)二、在双组前后测实验设计中，一个为实验组，一个为控制组，前后测数据都是连续数据，总体方差未知，请问这一实验该用哪些统计方法处理数据?请详细说明。(10分)三、什么是相关系数？积差相关需要满足哪些条件？(10分)四、下表是一张方差分析表，请根据这张表解释方差分析结果。(10分)TestsofBetween-SubjectsEffectsDependentVariable:SourceTypeIIISumofSquaresdfMeanSquareFSig.CorrectedModel746.458(a)1167.8607.505.001Intercept62526.042162526.0426915.323.000a480.5832240.29226.576.000b157.458352.4865.805.011a*b108.417618.0691.998.145Error108.500129.042Total63381.00024CorrectedTotal854.95823aRSquared=.873(AdjustedRSquared=.757)五、下面表格都是因素分析的结果，请对这些结果用文字加以说明。(15分)ComCommunalitiesMethod:PrincipalComponentAnalysis.InitialExtractionx011.000.668x021.000.739x031.000.666x041.000.718x051.000.628x061.000.737x071.000.824x081.000.705x091.000.731x0101.000.990TotalVarianceExplaine TotalVarianceExplaine dEigenvaluestractionSumsofSquaredLoadingsComponentTotal%of Varianc eCumulativ e%Total%of Varianc eCumulativ e%tractionMethod:PrincipalComponentAnalysis.ComponentMatrixaComponentMethod:PrincipalComponentAnalysis.a.3componentsextracted.15.28252.82452.8245.28252.82452.82421.11911.18564.0101.11911.18564.01031.00610.05574.0651.00610.05574.0654.6796.79480.8595.5195.18786.0466.4614.60990.6557.3993.98694.6418.2822.82097.4609.2432.42999.89010.011.110100.000123x01.660.303-.375x02.759-.403.003x03.729.360.073x04.789.306-.031x05.709.340.094x06.657-.538-.130x07.765-.472.129x08.641.117.529x09-.461-.006.720x010.986-.003.130RotateRotatedComponentMatixComponentExtractionMethod:PrincipalComponentAnalysis.RotationMethod:VarimaxwithKaiserNormalization.a.Rotationconvergedin4iterations.123x01.535.140.602x02.308.784.172x03.769.173.211x04.745.244.320x05.751.178.182x06.108.816.245x07.313.851.045x08.712.345-.281x09-.096-.223-.820x010.756.621.182Component1231.724.616.3102.603-.784.1503.335.078-.939ComponentTransformationM atrixMethod:PrincipalComponentAnalysis.RotationMethod:VarimaxwithKaiserComponentTransformationM atrixMethod:PrincipalComponentAnalysis.RotationMethod:VarimaxwithKaiserNormal