Goodness-Of-Fit Tests and Model Validity

The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real-life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.

Preface
Contributors
List of Tables
List of Figures
History and Fundamentals Karl Pearson and the Chi-Squared Test
The Dawn of Statistical Inference
Approximate Models
Chi-Squared Test Partitioning the Pearson-Fisher Chi-Squared Goodness-of-Fit Statistic
Statistical Tests for Normal Family in Presence of Outlying Observations
Chi-Squared Test for the Law of Annual Death Rates: Case with Censure for Life Insurance Files
Goodness-of-Fit Tests for Parametric Distributions Shapiro-Wilk Type Goodness-of-Fit Tests for Normality: Asymptotics Revisited
A Test for Exponentiality Based on Spacings for Progressively Type II Censored Data
Goodness-of- Fit Statistics for the Exponential Distribution When the Data are Grouped
Characterization Theorems and Goodness-of-Fit Tests
Goodness-of-Fit Tests Based on Record Data and Generalized Ranked Set Data
Regression and Goodness-of-Fit Tests
Gibbs Regression and a Test of Goodness-of-Fit
A CLT for the L_2 Norm of the Regression Estimators Under alpha-Mixing: Application to G-O-F Tests
Testing the Goodness-of-Fit of a Linear Model in Nonparametric Regression
A New Test of Linear Hypothesis in Regression
Goodness-of-Fit Tests in Survival Analysis and Reliability
Inference in Extensions of the Cox Model for Heterogeneous Populations
Assumptions of a Latent Survival Model
Goodness-of-Fit Testing of the Cox Proportional Hazards Model
A New Family of Multivariate Distributions for Survival Data
Discrimination Index, the Area Under to ROC Curve
Goodness-of-Fit Tests for Accelerated Life Models
Graphic Methods and General Goodness-of-Fit Tests
Two Nonstandard Examples of the Classical Stratification Approach to Graphically Assessing Proportionality of Hazards
Association in Contingency Tables, Correspondence Analysis, and (Modified) Andrews Plots
Orthogonal Expansions and Distinction Between Logistic and Normal
Functional Tests of Fit
Quasi Most Powerful Invariant Tests of Goodness-of-Fit
Model Validity in Quality of Life
Test of Monotonicity for the Rasch Model
Validation of Model Assumptions in Quality of Life Measurements
Tests of Hypotheses and Estimation with Applications
One-Sided Hypotheses in a Multinomial Model
A Depth Test for Symmetry
Adaptive Combination of Tests
Partially Parametric Testing
Exact Nonparametric Two-Sample Homogeneity Tests
Power Comparisons of Some Nonparametric Tests for Lattice Ordered Alternatives in Two-Factor Experiments
Tests of Independence with Exponential Marginals
Testing Problem for Increasing Function in a Model with Infinite Dimensional Nuisance Parameter
The Concept of Generalized Asymptotic Deficie
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Goodness-Of-Fit Tests and Model Validity

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