《应用多元统计分析方法》是2005年06月由高等教育出版社出版的图书，作者是约翰逊 。本书适用于高等院校统计学专业和理工科各专业本科生和研究生作为双语教材使用。
- 中文名称 应用多元统计分析方法
- 作/译者 约翰逊
- 出版社 高等教育出版社
- 出版日期 2005年06月
出版信息
ISBN:9787040165456 [十位:7040来自165457]
页数:567 重约:0.782KG
定价:￥43.30
图书目录
1.APPLIED MULTIVARIATE METHODS
1.1 An Overview of Multivariate Methods 1
Variable-and Individual-Directed Techniques 2
Creating New Variables 2
Principal Components Analysis 3
Factor Analysis 3
Discriminant Analysis 4
Canonical Discriminant An始调未特alysis 5
Logistic Regression 5
Cluster Analysis 5
同距她有自议飞原良两棉 Multivariate Analysis of Variance 6
C360百科anonical Var找苏iates Analysis 7
Canonical Correlation Analysis 7
Where to Find the Preced住目听欢ing Topics 7
1.2 Two Examples 8
Independence of Experi心军mental Units 11
1.3 依斯文输Types of Variables U
1.4 Data Matrices and Vectors 12
Variable Nota措知被和即序对即稳tion 13
Data Matrix 13
D最项员孙属个击ata Vectors 13
Data Subscripts 14
1.5 The Multivariate Normal Distribution 15
Some Definitions 15
Summarizin门假也三部买药g Multiva武成企牛毛你般维孔危riate Distributions 16
Mean Vectors and Variance-Covariance Matrices 16
Correlations and Correlation Matrices 17
The Multivariate Normal Probability Density Function 19
Bivariate Normal Distributions 19
1.6 Statistical Computing 22
Cautions About Comp另球超效态依读神uter Usage 22
Mi征石编丰八距孩良尔棉ssing Values 22
顶日械游书激式米Replacing Missing Values by Zeros 23
Replacing Missing Values by Aver独曲拿士钟于ages 23
Removing Rows of the Data Matrix 23
掌兴背较修夫找材报也 Sampling Strategies 24
Data Entry Err间纪停编拉江ors and Data Verification 24
1.7 Mult破广游病花钢听略喜ivariate Outliers 25
Locating Outliers 25
Dealing with Outliers 25
Outliers May Be Influential 26
1.8 Multiv证极顶ariate Summary Statistics 26
1.9 Standardized Data and/or Z Scores 27
Exercises 28
2.SAMPLE CORRELATIONS
2.1 Statistical Tests and Confidence Intervals 35
Are the Correlations Large Enough to Be Useful? 36
Confidence Intervals by the Chart Method 36
Confidence Intervals by Fishers Approximation 38
Confidence Intervals by Rubens Approximation 39
Variable Groupings Based on Correlations 40
Relationship to Factor Analysis 46
2.2 Summary 46
Exercises 47
3.MULTIVARIATE DATA PLOTS
3.1 Three-Dimensional Data Plots 55
3.2 Plots of Higher Dimensional Data 59
Chernoff Faces 61
Star Plots and Sun-Ray Plots 63
Andrews Plots 65
Side-by-Side Scatter Plots 66
3.3 Plotting to Check for Multivariate Normality 67
Summary 73
Exercises 73
4.EIGENVALUES AND EIGENVECTORS
4.1 Trace and Determinant 77
Examples 78
4.2 Eigenvalues 78
4.3 Eigenvectors 79
Positive Definite and Positive Semidefinite Matrices 80
4.4 Geometric Descriptions (p = 2) 82
Vectors 82
Bivariate Normal Distributions 83
4.5 Geometric Descriptions (p = 3) 87
Vectors 87
Trivariate Normal Distributions 87
4.6 Geometric Descriptions (p > 3) 90
Summary 91
Exercises 91
5.PRINCIPAL COMPONENTS ANALYSIS
5.1 Reasons for Using Principal Components Analysis 93
Data Screening 93
Clustering 95
Discriminant Analysis 95
Regression 95
5.2 Objectives of Principal Components Analysis 96
5.3 Principal Components Analysis on the Variance-Covariance
Matrix 96
Principal Component Scores 98
Component Loading Vectors 98
5.4 Estimation of Principal Components 99
Estimation of Principal Component Scores 99
5.5 Determining the Number of Principal Components 99
Method 1 100
Method 2 100
5.6 Caveats 107
5.7 PCA on the Correlation Matrix P 109
Principal Component Scores 110
Component Correlation Vectors 110
Sample Correlation Matrix 110
Determining the Number of Principal Components 110
5.8 Testing for Independence of the Original Variables 111
5.9 Structural Relationships 111
5.10 Statistical Computing Packages 112
SASR PRINCOMP Procedure 112
Principal Components Analysis Using Factor Analysis
Programs 118
PCA with SPSSs FACTOR Procedure 124
Summary 142
Exercises 142
6. FACTOR ANALYSIS
6.1 Objectives of Factor Analysis 147
6.2 Caveats 148
6.3 Some History of Factor Analysis 148
6.4 The Factor Analysis Model 150
Assumptions 150
Matrix Form of the Factor Analysis Model 151
Definitions of Factor Analysis Terminology 151
6.5 Factor Analysis Equations 151
Nonuniqueness of the Factors 152
6.6 Solving the Factor Analysis Equations 153
……
7.DISCRIMINANT ANALYSIS
8.LOGISTIC REGRESSION METHODS
9.CLUSTER ANALYSIS
10.MEAN VECTORS AND VARIANCE-COVARIANCE MATRICES
11.MULTIVARIATE ANALYSIS OF VARIANCE
12.PREDICTION MODELS AND MULTIVARIATE REGRESSION
APPENDIX A:MATRIX RESULTS
APPENDIX B:WORK ATTITUDES SURVEY
APPENDIX C:FAMILY CONTROL STUDY
REFERENCES
INDEX
内容提要
本费反运书内容包括:应用多元回归分析方法,样本相关,多元数据点图,特征值和特征向量,复合分析原理,因子分析,判别分析,逻辑斯谛来自回归方法,聚类分析,均值向量和方差-协方差矩阵,方差多元分析,预测模型和多元回归。本书统计内容覆盖面广于国内的概率统计教材,内容安排颇有新意,例如,在处理回归分析时,强调了从建模的观点与需要来考虑。360百科本书设有大量的例题与练习题,实搞感虽维冷磁源或用面丰富,统计思维清晰。
