Preface |
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xi | |
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1 | (7) |
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1 | (1) |
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2 | (3) |
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5 | (3) |
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2 Functions of Survival Time |
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8 | (11) |
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8 | (7) |
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2.2 Relationships of the Survival Functions |
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15 | (4) |
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16 | (3) |
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3 Examples of Survival Data Analysis |
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19 | (49) |
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3.1 Example 3.1: Comparison of Two Treatments and Three Diets |
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19 | (7) |
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3.2 Example 3.2: Comparison of Two Survival Patterns Using Life Tables |
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26 | (2) |
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3.3 Example 3.3: Fitting Survival Distributions to Tumor-Free Times |
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28 | (2) |
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3.4 Example 3.4: Comparing Survival of a Cohort with that of a General Population -- Relative Survival |
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30 | (3) |
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3.5 Example 3.5: Identification of Risk Factors for Incident Events |
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33 | (5) |
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3.6 Example 3.6: Identification of Risk Factors for the Prevalence of Age-Related Macular Degeneration |
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38 | (8) |
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3.7 Example 3.7: Identification of Significant Risk Factors for Incident Hypertension Using Related Data (Repeated Measurements) in a Longitudinal Study |
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46 | (22) |
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54 | (14) |
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4 Nonparametric Methods of Estimating Survival Functions |
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68 | (40) |
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4.1 Product-Limit Estimates of Survivorship Function |
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69 | (13) |
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4.2 Nelson-Aalen Estimates of Survivorship Function |
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82 | (1) |
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83 | (13) |
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4.4 Relative Survival Rates |
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96 | (2) |
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4.5 Standardized Rates and Ratios |
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98 | (10) |
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104 | (4) |
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5 Nonparametric Methods for Comparing Survival Distributions |
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108 | (25) |
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5.1 Comparison of Two Survival Distributions |
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108 | (15) |
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5.2 The Mantel and Haenszel Test |
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123 | (5) |
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5.3 Comparison of K (K > 2) Samples |
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128 | (5) |
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130 | (3) |
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6 Some Well-Known Parametric Survival Distributions And Their Applications |
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133 | (28) |
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6.1 Exponential Distribution |
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133 | (5) |
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138 | (5) |
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6.3 Lognormal Distribution |
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143 | (5) |
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6.4 Gamma, Generalized Gamma, and Extended Generalized Gamma Distributions |
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148 | (5) |
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6.5 Log-Logistic Distribution |
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153 | (2) |
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6.6 Other Survival Distributions |
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155 | (6) |
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159 | (2) |
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7 Estimation Procedures for Parametric Survival Distributions Without Covariates |
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161 | (45) |
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7.1 General Maximum Likelihood Estimation Procedure |
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161 | (4) |
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7.2 Exponential Distribution |
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165 | (13) |
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178 | (2) |
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7.4 Lognormal Distribution |
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180 | (3) |
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7.5 The Extended Generalized Gamma Distribution |
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183 | (1) |
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7.6 The Log-Logistic Distribution |
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184 | (1) |
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7.7 Gompertz Distribution |
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185 | (1) |
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186 | (20) |
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203 | (3) |
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8 Tests of Goodness-of-Fit and Distribution Selection |
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206 | (20) |
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8.1 Goodness-of-Fit Test Statistics Based on Asymptotic Likelihood Inferences |
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207 | (3) |
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8.2 Tests for Appropriateness of a Family of Distributions |
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210 | (6) |
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8.3 Selection of a Distribution by Using BIC or AIC Procedure |
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216 | (1) |
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8.4 Tests for a Specific Distribution with Known Parameters |
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217 | (3) |
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8.5 Hollander and Proschan's Test for Appropriateness of a Given Distribution with Known Parameters |
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220 | (6) |
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224 | (2) |
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9 Parametric Methods for Comparing Two Survival Distributions |
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226 | (13) |
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9.1 Log-Likelihood Ratio Test for Comparing Two Survival Distributions |
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226 | (3) |
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9.2 Comparison of Two Exponential Distributions |
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229 | (5) |
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9.3 Comparison of Two Weibull Distributions |
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234 | (2) |
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9.4 Comparison of Two Gamma Distributions |
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236 | (3) |
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237 | (2) |
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10 Parametric Methods for Regression Model Fitting and Identification of Prognostic Factors |
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239 | (43) |
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10.1 Preliminary Examination of Data |
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240 | (2) |
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10.2 General Structure of Parametric Regression Models and Their Asymptotic Likelihood Inference |
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242 | (4) |
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10.3 Exponential AFT Model |
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246 | (9) |
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255 | (3) |
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258 | (3) |
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10.6 The Extended Generalized Gamma AFT Model |
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261 | (3) |
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10.7 Log-Logistic AFT Model |
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264 | (4) |
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10.8 Other Parametric Regression Models |
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268 | (2) |
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10.9 Model Selection Methods |
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270 | (12) |
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279 | (3) |
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11 Identification of Risk Factors Related to Survival Time: Cox Proportional Hazards Model |
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282 | (55) |
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11.1 The Proportional Hazards Model |
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282 | (3) |
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11.2 The Partial Likelihood Function |
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285 | (17) |
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11.3 Identification of Significant Covariates |
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302 | (7) |
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11.4 Estimation of the Survivorship Function with Covariates |
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309 | (8) |
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11.5 Adequacy Assessment of the Proportional Hazards Model |
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317 | (20) |
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334 | (3) |
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12 Identification of Prognostic Factors Related to Survival Time: Non-Proportional Hazards Models |
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337 | (47) |
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12.1 Models with Time-Dependent Covariates |
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337 | (9) |
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12.2 Stratified Proportional Hazards Model |
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346 | (4) |
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12.3 Competing Risks Model |
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350 | (3) |
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12.4 Recurrent Event Models |
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353 | (17) |
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12.5 Models for Related Observations |
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370 | (14) |
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382 | (2) |
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13 Identification of Risk Factors Related to Dichotomous and Polychotomous Outcomes |
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384 | (59) |
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385 | (7) |
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13.2 Logistic and Conditional Logistic Regression Models for Dichotomous Outcomes |
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392 | (29) |
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13.3 Models for Polychotomous Outcomes |
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421 | (11) |
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13.4 Models for Related Observations |
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432 | (11) |
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440 | (3) |
Appendix |
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443 | (23) |
References |
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466 | (11) |
Index |
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477 | |