An R and SPLUS Companion to Multivariate Analysis

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2008-7-19 03:27:00 上传

An R and SPLUS Companion to Multivariate Analysis
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This is a very good book.

Springer Texts in Statistics

Everitt - An R and SPLUS Companion to Multivariate Analysis.pdf

The first Four chapters

Preface... . . . . . . . . . . . . . vii

.... . . . . . . . . . . . . vii
    

1 Multivariate Data and Multivariate Analysis. . . . . . . . 1

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

.. . . . . . . 1

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

1 Multivariate Data and Multivariate Analysis. . . . . . . . 1

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

.. . . . . . . 1

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

1.1 Introduction... . . 1

1.2 Types of Data... . 1

1.3 Summary Statistics for Multivariate Data. . . . . . . . . 4

1.3.1 Means... . 4

1.3.2 Variances..5

1.3.3 Covariances.. . . . . . . . . . . . 5

1.3.4 Correlations.. . . . . . . . . . . . 6

1.3.5 Distances.. . . . . . . . . . . . . . 7

1.4 The Multivariate Normal Distribution. . . . . . . . . . . . 9

1.5 The Aims of Multivariate Analysis. . . . . . . . . . . . . . 13

1.6 Summary... . . . . 15

2 Looking at Multivariate Data.. . . . . . . 16

2.1 Introduction... . . 16

2.2 Scatterplots and Beyond.. . . . . . . . 17

2.2.1 The Convex Hull of Bivariate Data. . . . . . . . 22

2.2.2 The Chiplot.. . . . . . . . . . . . . 23

2.2.3 The Bivariate Boxplot.. . . . 25

2.3 Estimating Bivariate Densities.. . . 29

2.4 Representing Other Variables on a Scatterplot. . . . . 32

2.5 The Scatterplot Matrix.. . . . . . . . . 33

2.6 Three-Dimensional Plots.. . . . . . . 35

2.7 Conditioning Plots and Trellis Graphics. . . . . . . . . . 37

2.8 Summary... . . . . 40

Exercises... . . . . . . . . . 40

2.1 Introduction... . . 16

2.2 Scatterplots and Beyond.. . . . . . . . 17

2.2.1 The Convex Hull of Bivariate Data. . . . . . . . 22

2.2.2 The Chiplot.. . . . . . . . . . . . . 23

2.2.3 The Bivariate Boxplot.. . . . 25

2.3 Estimating Bivariate Densities.. . . 29

2.4 Representing Other Variables on a Scatterplot. . . . . 32

2.5 The Scatterplot Matrix.. . . . . . . . . 33

2.6 Three-Dimensional Plots.. . . . . . . 35

2.7 Conditioning Plots and Trellis Graphics. . . . . . . . . . 37

2.8 Summary... . . . . 40

Exercises... . . . . . . . . . 40

2.1 Introduction... . . 16

2.2 Scatterplots and Beyond.. . . . . . . . 17

2.2.1 The Convex Hull of Bivariate Data. . . . . . . . 22

2.2.2 The Chiplot.. . . . . . . . . . . . . 23

2.2.3 The Bivariate Boxplot.. . . . 25

2.3 Estimating Bivariate Densities.. . . 29

2.4 Representing Other Variables on a Scatterplot. . . . . 32

2.5 The Scatterplot Matrix.. . . . . . . . . 33

2.6 Three-Dimensional Plots.. . . . . . . 35

2.7 Conditioning Plots and Trellis Graphics. . . . . . . . . . 37

2.8 Summary... . . . . 40

Exercises... . . . . . . . . . 40

... . . . . . 16

2.1 Introduction... . . 16

2.2 Scatterplots and Beyond.. . . . . . . . 17

2.2.1 The Convex Hull of Bivariate Data. . . . . . . . 22

2.2.2 The Chiplot.. . . . . . . . . . . . . 23

2.2.3 The Bivariate Boxplot.. . . . 25

2.3 Estimating Bivariate Densities.. . . 29

2.4 Representing Other Variables on a Scatterplot. . . . . 32

2.5 The Scatterplot Matrix.. . . . . . . . . 33

2.6 Three-Dimensional Plots.. . . . . . . 35

2.7 Conditioning Plots and Trellis Graphics. . . . . . . . . . 37

2.8 Summary... . . . . 40

Exercises... . . . . . . . . . 40

... . . . . . 16
2.1 Introduction... . . 16

2.2 Scatterplots and Beyond.. . . . . . . . 17

2.2.1 The Convex Hull of Bivariate Data. . . . . . . . 22

2.2.2 The Chiplot.. . . . . . . . . . . . . 23

2.2.3 The Bivariate Boxplot.. . . . 25

2.3 Estimating Bivariate Densities.. . . 29

2.4 Representing Other Variables on a Scatterplot. . . . . 32

2.5 The Scatterplot Matrix.. . . . . . . . . 33

2.6 Three-Dimensional Plots.. . . . . . . 35

2.7 Conditioning Plots and Trellis Graphics. . . . . . . . . . 37

2.8 Summary... . . . . 40

Exercises... . . . . . . . . . 40

3 Principal Components Analysis.. . . . . 41

3.1 Introduction... . . 41

3.2 Algebraic Basics of Principal Components. . . . . . . 42

3.1 Introduction... . . 41

3.2 Algebraic Basics of Principal Components. . . . . . . 42

3.1 Introduction... . . 41

3.2 Algebraic Basics of Principal Components. . . . . . . 42

... . . . 41

3.1 Introduction... . . 41

3.2 Algebraic Basics of Principal Components. . . . . . . 42

... . . . 41
3.1 Introduction... . . 41

3.2 Algebraic Basics of Principal Components. . . . . . . 42

xi

xii Contents

3.2.1 Rescaling Principal Components. . . . . . . . . . 45

3.2.2 Choosing the Number of Components. . . . . 46

3.2.3 Calculating Principal Component Scores. . . 47

3.2.4 Principal Components of Bivariate Data with Correlation

Coefficient r.. . . . . . . . . . . . 48

3.3 An Example of Principal Components Analysis: Air Pollution in

U.S. Cities... . . . 49

3.4 Summary... . . . . 61

Exercises... . . . . . . . . . 62

3.3 An Example of Principal Components Analysis: Air Pollution in

U.S. Cities... . . . 49

3.4 Summary... . . . . 61

Exercises... . . . . . . . . . 62

3.3 An Example of Principal Components Analysis: Air Pollution in

U.S. Cities... . . . 49

3.4 Summary... . . . . 61

Exercises... . . . . . . . . . 62

r.. . . . . . . . . . . . 48

3.3 An Example of Principal Components Analysis: Air Pollution in

U.S. Cities... . . . 49

3.4 Summary... . . . . 61

Exercises... . . . . . . . . . 62

r.. . . . . . . . . . . . 48
3.3 An Example of Principal Components Analysis: Air Pollution in

U.S. Cities... . . . 49

3.4 Summary... . . . . 61

Exercises... . . . . . . . . . 62

4 Exploratory Factor Analysis.. . . . . . . . 65

4.1 Introduction... . . 65

4.2 The Factor Analysis Model.. . . . . 65

4.2.1 Principal Factor Analysis.. 68

4.2.2 Maximum Likelihood Factor Analysis. . . . . 69

4.3 Estimating the Numbers of Factors. . . . . . . . . . . . . . 69

4.4 A Simple Example of Factor Analysis. . . . . . . . . . . 70

4.5 Factor Rotation..71

4.6 Estimating Factor Scores.. . . . . . . 76

4.7 Two Examples of Exploratory Factor Analysis. . . . 77

4.7.1 Expectations of Life.. . . . . 77

4.7.2 Drug Usage by American College Students. 82

4.8 Comparison of Factor Analysis and Principal

Components Analysis.. . . . . . . . . . 85

4.9 Confirmatory Factor Analysis.. . . 88

4.10 Summary... . . . . 88

Exercises... . . . . . . . . . 89

4.1 Introduction... . . 65

4.2 The Factor Analysis Model.. . . . . 65

4.2.1 Principal Factor Analysis.. 68

4.2.2 Maximum Likelihood Factor Analysis. . . . . 69

4.3 Estimating the Numbers of Factors. . . . . . . . . . . . . . 69

4.4 A Simple Example of Factor Analysis. . . . . . . . . . . 70

4.5 Factor Rotation..71

4.6 Estimating Factor Scores.. . . . . . . 76

4.7 Two Examples of Exploratory Factor Analysis. . . . 77

4.7.1 Expectations of Life.. . . . . 77

4.7.2 Drug Usage by American College Students. 82

4.8 Comparison of Factor Analysis and Principal

Components Analysis.. . . . . . . . . . 85

4.9 Confirmatory Factor Analysis.. . . 88

4.10 Summary... . . . . 88

Exercises... . . . . . . . . . 89

4.1 Introduction... . . 65

4.2 The Factor Analysis Model.. . . . . 65

4.2.1 Principal Factor Analysis.. 68

4.2.2 Maximum Likelihood Factor Analysis. . . . . 69

4.3 Estimating the Numbers of Factors. . . . . . . . . . . . . . 69

4.4 A Simple Example of Factor Analysis. . . . . . . . . . . 70

4.5 Factor Rotation..71

4.6 Estimating Factor Scores.. . . . . . . 76

4.7 Two Examples of Exploratory Factor Analysis. . . . 77

4.7.1 Expectations of Life.. . . . . 77

4.7.2 Drug Usage by American College Students. 82

4.8 Comparison of Factor Analysis and Principal

Components Analysis.. . . . . . . . . . 85

4.9 Confirmatory Factor Analysis.. . . 88

4.10 Summary... . . . . 88

Exercises... . . . . . . . . . 89

... . . . . . . 65

4.1 Introduction... . . 65

4.2 The Factor Analysis Model.. . . . . 65

4.2.1 Principal Factor Analysis.. 68

4.2.2 Maximum Likelihood Factor Analysis. . . . . 69

4.3 Estimating the Numbers of Factors. . . . . . . . . . . . . . 69

4.4 A Simple Example of Factor Analysis. . . . . . . . . . . 70

4.5 Factor Rotation..71

4.6 Estimating Factor Scores.. . . . . . . 76

4.7 Two Examples of Exploratory Factor Analysis. . . . 77

4.7.1 Expectations of Life.. . . . . 77

4.7.2 Drug Usage by American College Students. 82

4.8 Comparison of Factor Analysis and Principal

Components Analysis.. . . . . . . . . . 85

4.9 Confirmatory Factor Analysis.. . . 88

4.10 Summary... . . . . 88

Exercises... . . . . . . . . . 89

... . . . . . . 65
4.1 Introduction... . . 65

4.2 The Factor Analysis Model.. . . . . 65

4.2.1 Principal Factor Analysis.. 68

4.2.2 Maximum Likelihood Factor Analysis. . . . . 69

4.3 Estimating the Numbers of Factors. . . . . . . . . . . . . . 69

4.4 A Simple Example of Factor Analysis. . . . . . . . . . . 70

4.5 Factor Rotation..71

4.6 Estimating Factor Scores.. . . . . . . 76

4.7 Two Examples of Exploratory Factor Analysis. . . . 77

4.7.1 Expectations of Life.. . . . . 77

4.7.2 Drug Usage by American College Students. 82

4.8 Comparison of Factor Analysis and Principal

Components Analysis.. . . . . . . . . . 85

4.9 Confirmatory Factor Analysis.. . . 88

4.10 Summary... . . . . 88

Exercises... . . . . . . . . . 89

[此贴子已经被angelboy于2008-8-25 10:27:31编辑过]

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关键词：Multivariate multivariat Companion Analysis Variate Analysis Multivariate splus Companion

多些免费贡献，我就笑纳了。

重新设定一下吧，否则银子收不到的。

Does it work now?

可论坛上已经有了这本书了。

请问其他部分能上传吗？谢谢

以下是引用just31415在2008-7-19 11:56:00的发言：
可论坛上已经有了这本书了。

I don't know we already have this book here. How can I find out if one book exists. Thanks.

谢谢楼主，好书！