This text provides an introduction to modern techniqes in survival analysis at a level suitable for most researchers. Counting methods have been presented in other books but only at a much higher mathematical level.
Klappentext
Making complex methods more accessible to applied researchers without an advanced mathematical background, the authors present the essence of new techniques available, as well as classical techniques, and apply them to data. Practical suggestions for implementing the various methods are set off in a series of practical notes at the end of each section, while technical details of the derivation of the techniques are sketched in the technical notes. This book will thus be useful for investigators who need to analyse censored or truncated life time data, and as a textbook for a graduate course in survival analysis, the only prerequisite being a standard course in statistical methodology.
Inhalt
1 - Examples of Survival Data.- 2 - Basic Quantities and Models.- 3 - Censoring and Truncation.- 4 - Nonparametric Estimation of Basic Quantities for Right-Censored and Left-Truncated Data.- 5 - Estimation of Basic Quantities for Other Sampling Schemes.- 6 - Topics in Univariate Estimation.- 7 - Hypothesis Testing.- 8 - Semiparametric Proportional Hazards Regression with Fixed Covariates.- 9 - Refinements of the Semiparametric Proportional Hazards Model.- 10 - Additive Hazards Regression Models.- 11 - Regression Diagnostics.- 12 - Inference for Parametric Regression Models.- 13 - Multivariate Survival Analysis.- Appendix A - Numerical Techniques for Maximization.- A.1 Univariate Methods.- A.2 Multivariate Methods.- Appendix B - Large-Sample Tests Based on Likelihood Theory.- Appendix C - Statistical Tables.- C.2 Upper Percentiles of a Chi-Square Distribution.- C.3 Confidence Coefficients for EP Confidence Bands.- C.4 Confidence Coefficients for the Hall-Wellner Confidence Bands.- C.5 Survival Function of the Supremum of the Absolute Value of a Standard Brownian Motion Process over the Range 0 to 1.- Appendix D - Selected Data Sets.- D.1 Data on 137 Bone Marrow Transplant Patients.- D.2 Data On 154 Burn Patients.- D.3 Death Times (in days) of Kidney Transplant Patients.- D.4 Data on 90 Patients with Cancer of the Larynx.- D.5 Data on Residents of a Retirement Community.- Author Index.