Using R with multivariate statistics: a primer
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Los Angeles [u.a.]
Sage
2016
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXI, 383 S. Ill., graph. Darst. |
| ISBN: | 9781483377964 |
Internformat
MARC
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| 100 | 1 | |a Schumacker, Randall E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Using R with multivariate statistics |b a primer |c Randall E. Schumacker |
| 264 | 1 | |a Los Angeles [u.a.] |b Sage |c 2016 | |
| 300 | |a XXI, 383 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Multivariate analysis |x Data processing | |
| 650 | 4 | |a R (Computer program language) | |
| 650 | 4 | |a Statistics |x Data processing | |
| 650 | 0 | 7 | |a R |g Programm |0 (DE-588)4705956-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Datenanalyse |0 (DE-588)4123037-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Multivariate Analyse |0 (DE-588)4040708-1 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-028237874 | ||
Datensatz im Suchindex
| _version_ | 1804175048200683520 |
|---|---|
| adam_text | Brief Contents
Preface xiii
Acknowledgments xix
About the Author xxi
1. Introduction and Overview 1
2. Multivariate Statistics: Issues and Assumptions 9
3. Hotelling’s T2: A Two-Group Multivariate Analysis 27
4. Multivariate Analysis of Variance 57
5. Multivariate Analysis of Covariance 81
6. Multivariate Repeated Measures 99
7. Discriminant Analysis 131
8. Canonical Correlation 147
9. Exploratory Factor Analysis 171
10. Principal Components Analysis 207
11. Multidimensional Scaling 229
12. Structural Equation Modeling 255
Statistical Tables 315
Chapter Answers 325
R Installation and Usage 355
R Packages, Functions, Data Sets, and Script Files 367
Index 375
Detailed Contents
Preface xiii
Acknowledgments xix
About the Author xxi
1. Introduction and Overview 1
Background 1
Persons of Interest 1
Factors Affecting Statistics 2
R Software 5
Web Resources 7
References 7
2. Multivariate Statistics: Issues and Assumptions 9
Issues 11
Assumptions 12
Normality 12
Determinant of a Matrix 16
Equality of Variance-Covariance Matrix 18
Box M Test 21
SPSS Check 23
Summary 23
Web Resources 24
References 24
3- Hotelling’s T2: A Two-Group Multivariate Analysis 27
Overview 28
Assumptions 29
Univariate Versus Multivariate Hypothesis 30
Statistical Significance 32
Practical Examples Using R 33
Single Sample 33
Two Independent Group Mean Difference 36
Two Groups (Paired)
Dependent Variable Mean Difference 42
Power and Effect Size 49
A Priori Power Estimation 50
Effect Size Measures 52
Reporting and Interpreting 54
Summary 54
Exercises 55
Web Resources 55
References 55
4. Multivariate Analysis of Variance 57
MANOVA Assumptions 58
Independent Observations 59
Normality 62
Equal Variance-Covariance Matrices 63
Summary 66
MANOVA Example: One-Way Design 66
MANOVA Example: Factorial Design 70
Effect Size 76
Reporting and Interpreting 78
Summary 79
Exercises 79
Web Resources 80
References 80
5. Multivariate Analysis of Covariance 81
Assumptions 82
Multivariate Analysis of Covariance 84
MANCOVA Example 85
Dependent Variable: Adjusted Means 87
Reporting and Interpreting 93
Propensity Score Matching 94
Summary 97
Web Resources 97
References 98
6. Multivariate Repeated Measures 99
Assumptions 101
Advantages of Repeated Measure Design 102
Multivariate Repeated Measure Examples 103
Single Dependent Variable 103
Several Dependent Variables: Prof He Analysis 108
Doubly Multivariate Repeated Measures 114
Reporting and Interpreting Results 126
Summary 127
Exercises 128
Web Resources 128
References 128
7. Discriminant Analysis 131
Overview 133
Assumptions 133
Dichotomous Dependent Variable 134
Box M Test I35
Classification Summary 136
Chi-Square Test 137
Polytomous Dependent Variable 138
Box M Test 139
Classification Su m mary 141
Chi-Square Test 142
Effect Size 142
Reporting and Interpreting 143
Summary 144
Exercises 144
Web Resources 145
References 145
8. Canonical Correlation 147
Overview 143
Assumptions 149
R Packages 150
CCA Package 152
yacca Package 158
Canonical Correlation Example 158
Effect Size 165
Reporting and Interpreting 165
Summary 166
Exercises 167
Web Resources 168
References 168
9. Exploratory Factor Analysis 171
Overview 172
Types of Factor Analysis 173
Assumptions 173
Factor Analysis Versus Principal Components Analysis 176
EFA Example 178
R Packages 178
Data Set Input 179
Sample Size Adequacy 180
Number of Factors and Factor Loadings 183
Factor Rotation and Extraction:
Orthogonal Versus Oblique Factors 190
Factor Scores 195
Graphical Display 201
Reporting and Interpreting 201
Summary 202
Exercises 203
Web Resources 203
References 204
Appendix: Attitudes Toward Educational Research Scale 205
10. Principal Components Analysis 207
Overview 208
Assumptions 209
Bartlett Test (Sphericity) 209
KMO Test (Sampling Adequacy) 210
Determinant of Correlation Matrix 210
Basics of Principal Components Analysis 211
Principal Component Scores 215
Principal Component Example 216
R Packages 216
Data Set 216
Assumptions 219
Number of Components 220
Reporting and Interpreting 226
Summary 227
Exercises 228
Web Resources 228
References 228
11. Multidimensional Scaling 229
Overview 231
Assumptions 232
Proxim ity Matrix 233
MDS Model 233
MDS Analysis 233
Sample Size 233
Variable Scaling 234
Number of Dimensions 234
R Packages 234
Goodness-of-Fit Index 236
MDS Metric Example 237
MDS Nonmetric Example 244
Reporting and Interpreting Results 251
Summary 252
Exercises 252
Web Resources 253
References 253
12. Structural Equation Modeling 255
Overview 257
Assumptions 258
Multivariate Normality 258
Positive Definite Matrix 261
Equal Variance-Covariance Matrices 263
Correlation Versus Covariance Matrix 264
Basic Correlation and Covariance Functions 265
Matrix Input Functions 267
Reference Scaling in SEM Models 270
R Packages 271
Finding R Packages and Functions 271
SEM Packages 273
CFA Models 275
Basic Model 275
Multiple Group Model 282
Structural Equation Models 290
Basic SEM Model 290
Longitudinal SEM Models 295
Reporting and interpreting Results 310
Summary 311
Exercises 312
Web Resources 312
References 312
Statistical Tables 315
Table 1: Areas Under the Normal Curve (z Scores) 316
Table 2: Distribution of t for Given Probability Levels 317
Table 3: Distribution of r for Given Probability Levels 318
Table 4: Distribution of Chi-Square
for Given Probability Levels 319
Table 5: The F Distribution for Given Probability
Levels (.05 Level) 321
Table 6: The Distribution of F for Given Probability
Levels (.01 Level) 322
Table 7: Distribution of Hartley Ffor Given Probability
Levels 323
Chapter Answers 325
R Installation and Usage 355
R Packages, Functions, Data Sets, and Script Files 367
Index 375
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| language | English |
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| spelling | Schumacker, Randall E. Verfasser aut Using R with multivariate statistics a primer Randall E. Schumacker Los Angeles [u.a.] Sage 2016 XXI, 383 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Datenverarbeitung Statistik Multivariate analysis Data processing R (Computer program language) Statistics Data processing R Programm (DE-588)4705956-4 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Datenanalyse (DE-588)4123037-1 s R Programm (DE-588)4705956-4 s DE-604 Multivariate Analyse (DE-588)4040708-1 s Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028237874&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schumacker, Randall E. Using R with multivariate statistics a primer Datenverarbeitung Statistik Multivariate analysis Data processing R (Computer program language) Statistics Data processing R Programm (DE-588)4705956-4 gnd Datenanalyse (DE-588)4123037-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4705956-4 (DE-588)4123037-1 (DE-588)4040708-1 |
| title | Using R with multivariate statistics a primer |
| title_auth | Using R with multivariate statistics a primer |
| title_exact_search | Using R with multivariate statistics a primer |
| title_full | Using R with multivariate statistics a primer Randall E. Schumacker |
| title_fullStr | Using R with multivariate statistics a primer Randall E. Schumacker |
| title_full_unstemmed | Using R with multivariate statistics a primer Randall E. Schumacker |
| title_short | Using R with multivariate statistics |
| title_sort | using r with multivariate statistics a primer |
| title_sub | a primer |
| topic | Datenverarbeitung Statistik Multivariate analysis Data processing R (Computer program language) Statistics Data processing R Programm (DE-588)4705956-4 gnd Datenanalyse (DE-588)4123037-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Datenverarbeitung Statistik Multivariate analysis Data processing R (Computer program language) Statistics Data processing R Programm Datenanalyse Multivariate Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028237874&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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