Nonparametric statistical methods/ Myles Hollander,
Material type:
TextPublication details: New York: John Wiley & Sons, 1999Edition: 2nd edDescription: 787 pISBN: 9781118677995Subject(s): Nonparametric statistics | Mathematical statistics | MATHEMATICS -- Probability & Statistics -- GeneralDDC classification: 519.5 | Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books
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Central Library, Sikkim University General Book Section | 519.5 HOL/N (Browse shelf(Opens below)) | Available | P01173 |
Machine generated contents note: 1.1. Advantages of Nonparametric Methods --
1.2. The Distribution-Free Property --
1.3. Some Real-World Applications --
1.4. Format and Organization --
1.5.Computing with R --
1.6. Historical Background --
Introduction --
2.1.A Binomial Test --
2.2. An Estimator for the Probability of Success --
2.3.A Confidence Interval for the Probability of Success (Wilson) --
2.4. Bayes Estimators for the Probability of Success --
Introduction --
Paired Replicates-Analyses by Way of Signed Ranks --
3.1.A Distribution-Free Signed Rank Test (Wilcoxon) --
3.2. An Estimator Associated with Wilcoxon's Signed Rank Statistic (Hodges-Lehmann) --
3.3.A Distribution-Free Confidence Interval Based on Wilcoxon's Signed Rank Test (Tukey) --
Paired Replicates Analyses by Way of Signs --
3.4.A Distribution-Free Sign Test (Fisher) --
3.5. An Estimator Associated with the Sign Statistic (Hodges-Lehmann) --
3.6.A Distribution-Free Confidence Interval Based on the Sign Test (Thompson, Savur) --
One-Sample Data --
3.7. Procedures Based on the Signed Rank Statistic --
3.8. Procedures Based on the Sign Statistic --
3.9. An Asymptotically Distribution-Free Test of Symmetry (Randles-Fligner-Policello-Wolfe, Davis-Quade) --
Bivariate Data --
3.10.A Distribution-Free Test for Bivariate Symmetry (Hollander) --
3.11. Efficiencies of Paired Replicates and One-Sample Location Procedures --
Introduction --
4.1.A Distribution-Free Rank Sum Test (Wilcoxon, Mann and Whitney) --
4.2. An Estimator Associated with Wilcoxon's Rank Sum Statistic (Hodges-Lehmann) --
4.3.A Distribution-Free Confidence Interval Based on Wilcoxon's Rank Sum Test (Moses) --
4.4.A Robust Rank Test for the Behrens-Fisher Problem (Fligher-Policello) --
4.5. Efficiencies of Two-Sample Location Procedures --
Introduction --
5.1.A Distribution-Free Rank Test for Dispersion-Medians Equal (Ansari-Bradley) --
5.2. An Asymptotically Distribution-Free Test for Dispersion Based on the Jackknife-Medians Not Necessarily Equal (Miller) --
5.3.A Distribution-Free Rank Test for Either Location or Dispersion (Lepage) --
5.4.A Distribution-Free Test for General Differences in Two Populations (Kolmogorov-Smirnov) --
5.5. Efficiencies of Two-Sample Dispersion and Broad Alternatives Procedures --
Introduction --
6.1.A Distribution-Free Test for General Alternatives (Kruskal-Wallis) --
6.2.A Distribution-Free Test for Ordered Alternatives (Jonckheere-Terpstra) --
6.3. Distribution-Free Tests for Umbrella Alternatives (Mack-Wolfe) --
6.3A.A Distribution-Free Test for Umbrella Alternatives, Peak Known (Mack-Wolfe) --
6.3B.A Distribution-Free Test for Umbrella Alternatives, Peak Unknown (Mack-Wolfe) --
6.4.A Distribution-Free Test for Treatments Versus a Control (Fligner-Wolfe) --
Rationale For Multiple Comparison Procedures --
6.5. Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-General Configuration (Dwass, Steel, and Critchlow-Fligner) --
6.6. Distribution-Free One-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-Ordered Treatment Effects (Hayter-Stone) --
6.7. Distribution-Free One-Sided Treatments-Versus-Control Multiple Comparisons Based on Joint Rankings (Nemenyi, Damico-Wolfe) --
6.8. Contrast Estimation Based on Hodges-Lehmann Two-Sample Estimators (Spjotvoll) --
6.9. Simultaneous Confidence Intervals for All Simple Contrasts (Critchlow-Fligner) --
6.10. Efficiencies of One-Way Layout Procedures --
Introduction --
7.1.A Distribution-Free Test for General Alternatives in a Randomized Complete Block Design (Friedman, Kendall-Babington Smith) --
7.2.A Dristribution-Free Test for Ordered Alternatives in a Randomized Complete Block Design (Page) --
7.3. Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Friedman Rank Sums-General Configuration (Wilcoxon, Nemenyi, McDonald-Thompson) --
7.4. Distribution-Free One-Sided Treatments Versus Control Multiple Comparisons Based on Friedman Rank Sums (Nemenyi, Wilcoxon-Wilcox, Miller) --
7.5. Contrast Estimation Based on One-Sample Median Estimators (Doksum) --
7.6.A Distribution-Free Test for General Alternatives in a Randomized Balanced Incomplete Block Design (BIBD)(Durbin-Skillings-Mack) --
7.7. Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for Balanced Incomplete Block Designs (Skillings-Mack) --
7.8.A Distribution-Free Test for General Alternatives for Data From an Arbitrary Incomplete Block Design (Skillings-Mack) --
7.9.A Distribution-Free Test for General Alternatives in a Randomized Block Design with an Equal Number c(> or = to 1) of Replications Per Treatment-Block Combination (Mack-Skillings) --
7.10. Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for a Two-Way Layout with an Equal Number of Replications in Each Treatment-Block Combination (Mack-Skillings) --
Analyses Associated with Signed Ranks --
7.11.A Test Based on Wilcoxon Signed Ranks for General Alternatives in a Randomized Complete Block Design (Doksum) --
7.12.A Test Based on Wilcoxon Signed Ranks for Ordered Alternatives in a Randomized Complete Block Design (Hollander) --
7.13. Approximate Two-Sided All-Treatments Multiple Comparisons Based on Signed Ranks (Nemenyi) --
7.14. Approximate One-Sided Treatments-Versus-Conrol Multiple Comparisons Based on Signed Ranks (Hollander) --
7.15. Contrast Estimation Based on the One-Sample Hodges-Lehmann Estimators (Lehmann) --
7.16. Efficiencies of Two-Way Layout Procedures --
Introduction --
8.1.A Distribution-Free Test for Independence Based on Signs (Kendall) --
8.2. An Estimator Associated with the Kendall Statistic (Kendall) --
8.3. An Asymptotically Distribution-Free Confidence Interval Based on the Kendall Statistic (Samara-Randles, Fligner-Rust, Noether) --
8.4. An Asymptotically Distribution-Free Confidence Interval Based on Efron's Bootstrap --
8.5.A Distribution-Free Test for Independence Based on Ranks (Spearman) --
8.6.A Distribution-Free Test for Independence Against Broad Alternatives (Hoeffding) --
8.7. Efficiencies of Independence Procedures --
Introduction --
One Regression Line --
9.1.A Distribution-Free Test for the Slope of the Regression Line (Theil) --
9.2.A Slope Estimator Associated with the Theil Statistic (Theil) --
9.3.A Distribution-Free Confidence Interval Associated with the Theil Test (Theil) --
9.4. An Intercept Estimator Associated with the Theil Statistic and Use of the Estimated Linear Relationship for Prediction (Hettmansperger-McKean-Sheather) --
k(> or equal to 2) Regression Lines --
9.5. An Asymptotically Distribution-Free Test for the Parallelism of Several Regression Lines (Sen, Adichie) --
General Multiple Linear Regression --
9.6. Asymptotically Distribution-Free Rank-Based Tests for General Multiple Linear Regression (Jaeckel, Hettmansperger-McKean) --
Nonparametric Regression Analysis --
9.7. An Introduction to Non-Rank-Based Approaches to Nonparametric Regression Analysis --
9.8. Efficiencies of Regression Procedures --
Introduction --
10.1. Approximate Tests and Confidence Intervals for the Difference between Two Success Probabilities (Pearson) --
10.2. An Exact Test for the Difference between Two Success Probabilities (Fisher) --
10.3. Inference for the Odds Ratio (Fisher, Cornfield) --
10.4. Inference for k Strata of 2 x 2 Tables (Mantel and Haenszel) --
10.5. Efficiencies --
Introduction --
11.1.A Test of Exponentiality Versus IFR Alternatives (Epstein) --
11.2.A Test of Exponentiality Versus NBU Alternatives (Hollander-Proschan) --
11.3.A Test of Exponentiality Versus DMRL Alternatives (Hollander-Proschan) --
11.4.A Test of Exponentiality Versus a Trend Change in Mean Residual Life (Guess-Hollander-Proschan) --
11.5.A Confidence Band for the Distribution Function (Kolmogorov) --
11.6. An Estimator of the Distribution Function When the Data are Censored (Kaplan-Meier) --
11.7.A Two-Sample Test for Censored Data (Mantel) --
11.8. Efficiencies --
Introduction --
12.1. Density Functions and Histograms. 12.2. Kernel Density Estimation --
12.3. Bandwidth Selection --
12.4. Other Methods --
Introduction --
13.1. Wavelet Representation of a Function --
13.2. Wavelet Thresholding --
13.3. Other Uses of Wavelets in Statistics --
Introduction --
14.1. Local Averaging (Friedman) --
14.2. Local Regression (Cleveland) --
14.3. Kernel Smoothing --
14.4. Other Methods of Smoothing --
Introduction --
15.1. Rationale and Historical Development --
15.2. Collecting a Ranked Set Sample --
15.3. Ranked Set Sampling Estimation of a Population Mean --
15.4. Ranked Set Sample Analogs of the Mann-Whitney-Wilcoxon Two-Sample Procedures (Bohn-Wolfe) --
15.5. Other Important Issues for Ranked Set Sampling --
15.6. Extensions and Related Approaches --
Introduction --
16.1. Ferguson's Dirichlet Process --
16.2.A Bayes Estimator of the Distribution Function (Ferguson) --
16.3. Rank Order Estimation (Campbell and Hollander) --
16.4.A Bayes Estimator of the Distribution When the Data are Right-Censored (Susarla and Van Ryzin) --
16.5. Other Bayesian Approaches.
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