| Preface | |
| Contributors | |
| List of Tables | |
| List of Figures | |
| Pt. I | History and Fundamentals | |
| 1 | Karl Pearson and the Chi-Squared Test | 3 |
| 2 | Karl Pearson Chi-Square Test - The Dawn of Statistical Inference | 9 |
| 3 | Approximate Models | 25 |
| Pt. II | Chi-Squared Test | |
| 4 | Partitioning the Pearson-Fisher Chi-Squared Goodness-of-Fit Statistic | 45 |
| 5 | Statistical Tests for Normal Family in Presence of Outlying Observations | 57 |
| 6 | Chi-Squared Test for the Law of Annual Death Rates: Case with Censure for Life Insurance Files | 65 |
| Pt. III | Goodness-of-Fit Tests for Parametric Distributions | |
| 7 | Shapiro-Wilk Type Goodness-of-Fit Tests for Normality: Asymptotics Revisited | 73 |
| 8 | A Test for Exponentiality Based on Spacings for Progressively Type-II Censored Data | 89 |
| 9 | Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped | 113 |
| 10 | Characterization Theorems and Goodness-of-Fit Tests | 125 |
| 11 | Goodness-of-Fit Tests Based on Record Data and Generalized Ranked Set Data | 143 |
| Pt. IV | Regression and Goodness-of-Fit Tests | |
| 12 | Gibbs Regression and a Test of Goodness-of-Fit | 161 |
| 13 | A CLT for the Lö2 Norm of the Regression Estimators Under [alpha]-Mixing: Application to G-O-F Tests | 173 |
| 14 | Testing the Goodness-of-Fit of a Linear Model in Nonparametric Regression | 185 |
| 15 | A New Test of Linear Hypothesis in Regression | 195 |
| Pt. V | Goodness-of-Fit Tests in Survival Analysis and Reliability | |
| 16 | Inference in Extensions of the Cox Model for Heterogeneous Populations | 211 |
| 17 | Assumptions of a Latent Survival Model | 227 |
| 18 | Goodness-of-Fit Testing for the Cox Proportional Hazards Model | 237 |
| 19 | A New Family of Multivariate Distributions for Survival Data | 255 |
| 20 | Discrimination Index, the Area Under the ROC Curve | 267 |
| 21 | Goodness-of-Fit Tests for Accelerated Life Models | 281 |
| Pt. VI | Graphical Methods and General Goodness-of-Fit Tests | |
| 22 | Two Nonstandard Examples of the Classical Stratification Approach to Graphically Assessing Proportionality of Hazards | 301 |
| 23 | Association in Contingency Tables, Correspondence Analysis, and (Modified) Andrews Plots | 311 |
| 24 | Orthogonal Expansions and Distinction Between Logistic and Normal | 327 |
| 25 | Functional Tests of Fit | 341 |
| 26 | Quasi Most Powerful Invariant Tests of Goodness-of-Fit | 357 |
| Pt. VII | Model Validity in Quality of Life | |
| 27 | Test of Monotonicity for the Rasch Model | 365 |
| 28 | Validation of Model Assumptions in Quality of Life Measurements | 371 |
| Pt. VIII | Tests of Hypotheses and Estimation with Application | |
| 29 | One-Sided Hypotheses in a Multinomial Model | 387 |
| 30 | A Depth Test for Symmetry | 401 |
| 31 | Adaptive Combination of Tests | 413 |
| 32 | Partially Parametric Testing | 425 |
| 33 | Exact Nonparametric Two-Sample Homogeneity Tests | 435 |
| 34 | Power Comparisons of Some Nonparametric Tests for Lattice Ordered Alternatives in Two-Factor Experiments | 449 |
| 35 | Tests of Independence with Exponential Marginals | 463 |
| 36 | Testing Problem for Increasing Function in a Model with Infinite Dimensional Nuisance Parameter | 477 |
| 37 | The Concept of Generalized Asymptotic Deficiency and its Application to the Minimum Discrepancy Estimation | 495 |
| Index | 505 |