Page 9 - Applied Statistics Using SPSS, STATISTICA, MATLAB and R

x Contents

7.5 Ridge Regression ....................................................................................316
7.6 Logit and Probit Models .........................................................................322
Exercises...............................................................................................................327

8 Data Structure Analysis 329

8.1 Principal Components.............................................................................329
8.2 Dimensional Reduction...........................................................................337
8.3 Principal Components of Correlation Matrices.......................................339
8.4 Factor Analysis .......................................................................................347
Exercises...............................................................................................................350

9 Survival Analysis 353

9.1 Survivor Function and Hazard Function.................................................353
9.2 Non-Parametric Analysis of Survival Data.............................................354
9.2.1 The Life Table Analysis ............................................................354
9.2.2 The Kaplan-Meier Analysis.......................................................359
9.2.3 Statistics for Non-Parametric Analysis......................................362
9.3 Comparing Two Groups of Survival Data ..............................................364
9.4 Models for Survival Data........................................................................367
9.4.1 The Exponential Model .............................................................367
9.4.2 The Weibull Model....................................................................369
9.4.3 The Cox Regression Model.......................................................371
Exercises...............................................................................................................373

10 Directional Data 375

10.1 Representing Directional Data................................................................375
10.2 Descriptive Statistics...............................................................................380
10.3 The von Mises Distributions...................................................................383
10.4 Assessing the Distribution of Directional Data.......................................387
10.4.1 Graphical Assessment of Uniformity ........................................387
10.4.2 The Rayleigh Test of Uniformity ..............................................389
10.4.3 The Watson Goodness of Fit Test .............................................392
10.4.4 Assessing the von Misesness of Spherical Distributions...........393
10.5 Tests on von Mises Distributions............................................................395
10.5.1 One-Sample Mean Test .............................................................395
10.5.2 Mean Test for Two Independent Samples.................................396
10.6 Non-Parametric Tests..............................................................................397
10.6.1 The Uniform Scores Test for Circular Data...............................397
10.6.2 The Watson Test for Spherical Data..........................................398
10.6.3 Testing Two Paired Samples .....................................................399
Exercises...............................................................................................................400