Nonparametric Statistical Methods Using R

Getting Started with R R Basics Reading External Data Generating Random Data Graphics Repeating Tasks User-Defined Functions Monte Carlo Simulation R Packages Basic Statistics Sign Test Signed-Rank Wilcoxon Bootstrap Robustness One- and Two-Sample Proportion Problems chi2 Tests Two-Sample Problems Introductory Example Rank-Based Analyses Scale Problem Placement Test for the Behrens-Fisher Problem Efficiency and Optimal Scores Adaptive Rank Scores Tests Regression I Simple Linear Regression Multiple Linear Regression Linear Models Aligned Rank Tests Bootstrap Nonparametric Regression Correlation ANOVA and ANCOVA One-Way ANOVA Multi-Way Crossed Factorial Design ANCOVA Methodology for Type III Hypotheses Testing Ordered Alternatives Multi-Sample Scale Problem Time-to-Event Analysis Kaplan-Meier and Log Rank Test Cox Proportional Hazards Models Accelerated Failure Time Models Regression II Robust Diagnostics Weighted Regression Linear Models with Skew Normal Errors A Hogg-Type Adaptive Procedure Nonlinear Time Series Cluster Correlated Data Friedman's Test Joint Rankings Estimator Robust Variance Component Estimators Multiple Rankings Estimator GEE-Type Estimator Bibliography Index Exercises appear at the end of each chapter.

[1]  J. M. Wells,et al.  Note on Project SCUD , 1967 .

[2]  Hadley Wickham,et al.  The Split-Apply-Combine Strategy for Data Analysis , 2011 .

[3]  David Ruppert,et al.  Robust Estimation in Heteroscedastic Linear Models. , 1982 .

[4]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[5]  Joseph W. McKean,et al.  Rank regression with estimated scores , 1997 .

[6]  J. McKean,et al.  Rank-Based Estimation for Arnold-Transformed Data , 2011 .

[7]  Joshua D. Naranjo,et al.  A Robust Method for the Analysis of Experiments with Ordered Treatment Levels , 2001, Psychological reports.

[8]  W. Kruskal,et al.  Use of Ranks in One-Criterion Variance Analysis , 1952 .

[9]  K. Doksum.  Asymptotic optimality of Hodges-Lehmann inverse rank likelihood estimators , 2013 .

[10]  Simon J. Sheather,et al.  High-Breakdown Rank Regression , 1999 .

[11]  G. V. Kass,et al.  Location of Several Outliers in Multiple-Regression Data Using Elemental Sets , 1984 .

[12]  Joseph W. McKean,et al.  Rank-Based Analysis of Linear Models Using R , 2005 .

[13]  A. Azzalini.  A class of distributions which includes the normal ones , 1985 .

[14]  S. Wood.  Generalized Additive Models: An Introduction with R , 2006 .

[15]  A. K. Md. Ehsanes Saleh,et al.  R-Estimation of the Parameters of Autoregressive [Ar (p)] Models , 1993 .

[16]  J. L. Hodges,et al.  Rank Methods for Combination of Independent Experiments in Analysis of Variance , 1962 .

[17]  Thomas P. Hettmansperger,et al.  A Class of Non-Parametric Tests for Homogeneity Against Ordered Alternatives , 1973 .

[18]  P. Rousseeuw,et al.  Unmasking Multivariate Outliers and Leverage Points , 1990 .

[19]  D. Freedman.  Bootstrapping Regression Models , 1981 .

[20]  Joseph W. McKean,et al.  A Robust Two-Stage Multiple Comparison Procedure with Application to a Random Drug Screen , 1989 .

[21]  Joseph V. Haas,et al.  Rank-Based Procedures for Linear Models: Applications to Pharmaceutical Science Data , 2001 .

[22]  Hira L. Koul,et al.  An Estimator of the Scale Parameter for the Rank Analysis of Linear Models under General Score Functions , 1987 .

[23]  George E. Policello,et al.  Robust Rank Procedures for the Behrens-Fisher Problem , 1981 .

[24]  M. E. Johnson,et al.  A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data , 1981 .

[25]  Joseph W. McKean,et al.  GR-estimates for an autoregressive time series , 2001 .

[26]  J. McKean,et al.  The Geometry of Robust Procedures in Linear Models , 1980 .

[27]  Joseph W. McKean,et al.  Rfit: Rank-based Estimation for Linear Models , 2012, R J..

[28]  M. Friedman.  The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance , 1937 .

[29]  J. McKean,et al.  Weighted Wilcoxon Estimators in Nonlinear Regression , 2013 .

[30]  A Rank-based Estimation Procedure For Linear Models With Clustered Data , 2004 .

[31]  Joseph W. McKean,et al.  Rank-Based Estimation and Associated Inferences for Linear Models With Cluster Correlated Errors , 2009 .

[32]  J. Jurecková,et al.  Nonparametric Estimate of Regression Coefficients , 1971 .

[33]  Friedrich Leisch,et al.  Sweave: Dynamic Generation of Statistical Reports Using Literate Data Analysis , 2002, COMPSTAT.

[34]  D. Cox.  Regression Models and Life-Tables , 1972 .

[35]  J. N. Adichie.  Rank Tests of Sub-Hypotheses in the General Linear Regression , 1978 .

[36]  Z. Ying,et al.  Rank-based inference for the accelerated failure time model , 2003 .

[37]  Limin Peng,et al.  Rank-based variable selection , 2008 .

[38]  A. Al-Shomrani.  A Comparison of Different Schemes for Selecting and Estimating Score Functions Based on Residuals , 2003 .