Selection and Multimodel Inference
to CASt bibliographies
by Kenneth P. Burnham & David R. Anderson (2nd ed.,
2002). Graduate-level monograph on methods for selecting
parametric models using an information theoretic approach with examples
using complex datasets. Starts with background on likelihood
& least squares theory, principle of parsimony. Akaike
Information Criterion & related penalized likelihoods, the
Kullback-Leibler distance between two models, confidence sets for best
models, ranking models, bootstrap methods, and more.
Tests and Model Validity
edited by C. Huber-Carol, N. Balakrishnan, M.S. Nikulin & M. Mesbah (2002). Conference proceedings on recent research13 involving goodness-of-fit. Topics include Pearson’s chi-squared, Shapiro-Wilk tests, Kolmogorov-Smirnov and Cramer-von-Mises tests, robust methods (outliers), survival models (censoring), and graphical methods.
Analysis: A Self-Learning Text
by David G. Kleinbaum
and Mitchel Klein (2nd ed,
Popular text on methods for censored data with emphasis on applications
in biomedicine. Includes Kaplan-Meier estimatpr, life table
analysis, hypothesis testing, log-rank and Peto 2-sample tests,
proportional hazards model and Cox regression, likelihoods for
parametric models, and competing risks.
Analysis of Spherical Data
by N. I. Fisher, T. Lewis & B. J. J. Embleton (1993). Monograph treating data distributed on a circle or sphere. Includes data displays, goodness-of-fit tests, distribution functions, tests for isotropy and symmetry, multimodal analysis, correlation and regression.