Contents
Preface xi
1 Introduction
1.1 Preliminaries, 15 m) V) e, `8 S f! }* }0 m+ c9 @
1.2 Censored Data, 1/ ]+ F, W; W2 z: F8 P: c% h% {
1.3 Scope of the Book, 5' W! O( v C8 E& g2 S
Bibliographical Remarks, 7
2 Functions of Survival Time 87 ^. e0 c% g+ J. c- A& E
2.1 Definitions, 8( g5 Q, Y3 `+ Q0 V# U+ _
2.2 Relationships of the Survival Functions, 15
Bibliographical Remarks, 17
oExercises, 17
Examples of Survival Data Analysis 19
3.1 Example 3.1: Comparison of Two Treatments and Three, [ b6 T. M' i' ?. l) V+ y
Diets, 19* ^0 `- P. W c8 ~* U
3.2 Example 3.2: Comparison of Two Survival Patterns
PUsing Life Tables, 26
3.3 Example 3.3: Fitting Survival Distributions to Remission" K" b [. q; D# C9 e. w
Data, 293 C! k' `; z! v. i5 R
3.4 Example 3.4: Relative Mortality and Identification of& o4 r! @1 F f$ H5 b% v
Prognostic Factors, 32
3.5 Example 3.5: Identification of Risk Factors, 405 Y6 b+ L l$ Z) P
Bibliographical Remarks, 47( a+ |8 `- J, t
Exercises, 476 O. H1 o4 P% V0 h
4Nonparametric Methods of Estimating Survival Functions 64% m3 U" x" L; A% |2 d" S0 O
4.1 Product-Limit Estimates of Survivorship Function, 65
4.2 Life-Table Analysis, 771 {1 S) G% u4 W0 W" [4 D0 y; n
4.3 Relative, Five-Year, and Corrected Survival Rates, 94
4.4 Standardized Rates and Ratios, 973 D; K; u; @# n2 s2 w* P2 ?# \
Bibliographical Remarks, 102
Exercises, 102* G0 k( P H; l6 Z5 U6 B% L$ _
5 Nonparametric Methods for Comparing Survival Distributions 106$ ^& _% y! _( \4 x. y
5.1 Comparison of Two Survival Distributions, 106
5.2 Mantel—Haenszel Test, 121
5.3 Comparison of K (K[1]2) Samples, 125( `/ w! B4 i/ C3 d T/ W8 D! `
Bibliographical Remarks, 1318 Q. g. C3 i/ H" x8 |
Exercises, 131
Some Well-Known Parametric Survival Distributions
S+ N, Oand Their Applications 1345 h, v; a9 `# y* `
6.1 Exponential Distribution, 1346 s3 c* J# V+ G
6.2 Weibull Distribution, 138* {4 Y; H4 `3 k# o, F3 m
6.3 Lognormal Distribution, 143
6.4 Gamma and Generalized Gamma Distributions, 148+ Y/ \, C( E5 h7 J- h) z4 _
6.5 Log-Logistic Distribution, 1548 K/ |1 h/ n0 C; z
6.6 Other Survival Distributions, 155
vBibliographical Remarks, 160
; }: g S$ ~ w+ n5 G+ s& JExercises, 160' \3 U7 a- S D) H' C' D. U8 F& [/ h
7 Estimation Procedures for Parametric Survival Distributions
8 Graphical Methods for Survival Distribution Fitting 198/ `2 ]3 j) ?6 i2 l7 }7 Y
8.1 Introduction, 198/ `! }; g# Q6 R% l
8.2 Probability Plotting, 200; \+ a7 |% P* Q
8.3 Hazard Plotting, 209: V0 ]0 H( i' p" d' C& q5 x" q% Y
8.4 Cox—Snell Residual Method, 2153 @: y$ a1 e! K& [# e
9 Tests of Goodness of Fit and Distribution Selection 221
10 Parametric Methods for Comparing Two Survival Distributions 243
11 Parametric Methods for Regression Model Fitting and9 e" y# _+ F/ W/ d6 C' u' {. K
Identification of Prognostic Factors 2567 P9 {! ?4 E& W2 ]9 _& }! I
12 Identification of Prognostic Factors Related to Survival Time:! g- z5 l5 z$ {, Q
13 Identification of Prognostic Factors Related to Survival Time:: S; l: z, t' j( \1 X
Nonproportional Hazards Models 339
14 Identification of Risk Factors Related to Dichotomous+ x% ^8 I$ R0 c7 y. c3 h4 A/ R# ]' ~
and Polychotomous Outcomes 3778 \# c8 y# }: k; }& ]/ g; K
14.1 Univariate Analysis, 3783 `4 R, n: ?+ U9 v/ Y: m) D: j5 i
14.2 Logistic and Conditional Logistic Regression Models- S& J3 k3 L* j5 Y( u
for Dichotomous Responses, 3856 ~* N/ }" N8 K: `
14.3 Models for Polychotomous Outcomes, 413
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