| Preface |
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1 | (19) |
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1.1 Advantages of Nonparametric Methods |
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1 | (1) |
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1.2 The Distribution-Free Property |
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2 | (1) |
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1.3 Some Real-World Applications |
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2 | (2) |
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4 | (4) |
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1.5 Format and Organization |
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8 | (2) |
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10 | (1) |
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1.7 Historical Background |
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11 | (2) |
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13 | (7) |
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2 The Dichotomous Data Problem |
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20 | (15) |
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20 | (9) |
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2.2 An Estimator for the Probability of Success |
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29 | (2) |
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2.3 A Confidence Interval for the Probability of Success |
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31 | (4) |
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3 The One-Sample Location Problem |
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35 | (71) |
| Paired Replicates Analyses By Way of Signed Ranks |
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35 | (25) |
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3.1 A Distribution-Free Signed Rank Test |
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36 | (15) |
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3.2 An Estimator Associated with Wilcoxon's Signed Rank Statistic |
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51 | (5) |
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3.3 A Distribution-Free Confidence Interval Based on Wilcoxon's Signed Rank Test |
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56 | (4) |
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| Paired Replicate Analyses By Way of Signs |
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60 | (19) |
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3.4 A Distribution-Free Sign Test |
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60 | (12) |
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3.5 An Estimator Associated with the Sign Statistic |
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72 | (3) |
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3.6 A Distribution-Free Confidence Interval Based on the Sign Test |
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75 | (4) |
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| One-Sample Data |
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79 | (15) |
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3.7 Procedures Based on the Signed Rank Statistic |
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79 | (4) |
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3.8 Procedures Based on the Sign Statistic |
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83 | (4) |
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3.9 An Asymptotically Distribution-Free Test of Symmetry |
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87 | (7) |
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Randles-Fligner-Policello-Wolfe |
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| Bivariate Data |
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94 | (12) |
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3.10 A Distribution-Free Test for Bivariate Symmetry |
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94 | (10) |
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3.11 Efficiencies of Paired Replicates and One-Sample Location Procedures |
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104 | (2) |
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4 The Two-Sample Location Problem |
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106 | (35) |
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4.1 A Distribution-Free Rank Sum Test |
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106 | (19) |
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4.2 An Estimator Associated with Wilcoxon's Rank Sum Statistic |
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125 | (7) |
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4.3 A Distribution-Free Confidence Interval Based on Wilcoxon's Rank Sum Test |
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132 | (3) |
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4.4 A Robust Rank Test for the Behrens-Fisher Problem |
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135 | (4) |
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4.5 Efficiencies of Two-Sample Location Procedures |
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139 | (2) |
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5 The Two-Sample Dispersion Problem and Other Two-Sample Problems |
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141 | (48) |
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5.1 A Distribution-Free Rank Test for Dispersion--Medians Equal |
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142 | (16) |
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5.2 An Asymptotically Distribution-Free Test for Dispersion Based on the Jackknife--Medians Not Necessarily Equal |
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158 | (11) |
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5.3 A Distribution-Free Rank Test for Either Location or Dispersion |
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169 | (9) |
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5.4 A Distribution-Free Test for General Differences in Two Populations |
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178 | (9) |
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5.5 Efficiencies of Two-Sample Dispersion and Broad Alternatives Procedures |
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187 | (2) |
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189 | (81) |
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6.1 A Distribution-Free Test for General Alternatives |
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190 | (12) |
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6.2 A Distribution-Free Test for Ordered Alternatives |
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202 | (10) |
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6.3 Distribution-Free Tests for Umbrella Alternatives |
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212 | (22) |
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6.3.A A Distribution-Free Test for Umbrella Alternatives, Peak Known |
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213 | (13) |
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6.3.B A Distribution-Free Test for Umbrella Alternatives, Peak Unknown |
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226 | (8) |
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6.4 A Distribution-Free Test for Treatments versus a Control |
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234 | (6) |
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6.5 Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings--General Configuration |
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240 | (9) |
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6.6 Distribution-Free One-Sided All-Treatments Multiple Comparisons Based on Pairwise Rankings-Ordered Treatment Effects |
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249 | (5) |
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6.7 Distribution-Free One-Sided Treatments versus Control Multiple Comparisons Based on Joint Rankings |
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254 | (6) |
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6.8 Contrast Estimation Based on Hodges-Lehmann Two-Sample Estimators |
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260 | (4) |
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6.9 Simultaneous Confidence Intervals for All Simple Contrasts |
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264 | (4) |
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6.10 Efficiencies of One-Way Layout Procedures |
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268 | (2) |
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270 | (93) |
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7.1 A Distribution-Free Test for General Alternatives in a Randomized Complete Block Design |
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272 | (12) |
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7.2 A Distribution-Free Test for Ordered Alternatives in a Randomized Complete Block Design |
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284 | (11) |
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7.3 Distribution-Free Two-Sided All-Treatments Multiple Comparisons Based on Friedman Rank Sums--General Configuration |
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295 | (5) |
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7.4 Distribution-Free One-Sided Treatments versus Control Multiple Comparisons Based on Friedman Rank Sums |
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300 | (5) |
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7.5 Contrast Estimation Based on One-Sample Median Estimators |
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305 | (4) |
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| Incomplete Block Data--Two-way Layout with Zero or One Observation per Treatment-Block Combination |
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309 | (20) |
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7.6 A Distribution-Free Test for General Alternatives in a Randomized Balanced Incomplete Block Design (BIBD) |
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309 | (8) |
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7.7 Asymptotically Distribution-Free Two-Sided All-Treatments Multiple Comparisons for Balanced Incomplete Block Designs |
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317 | (2) |
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7.8 A Distribution-Free Test for General Alternatives for Data from an Arbitrary Incomplete Block Design |
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319 | (10) |
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| Replications--Two-way Layout with at Least One Observation for Every Treatment-Block Combination |
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329 | (14) |
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7.9 A Distribution-Free Test for General Alternatives in a Randomized Block Design with an Equal Number c (greater than 1) of Replications per Treatment-Block Combination |
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329 | (11) |
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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 |
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340 | (3) |
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| Analyses Associated with Signed Ranks |
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343 | (20) |
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7.11 A Test Based on Wilcoxon Signed Ranks for General Alternatives in a Randomized Complete Block Design |
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343 | (5) |
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7.12 A Test Based on Wilcoxon Signed Ranks for Ordered Alternatives in a Randomized Complete Block Design |
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348 | (3) |
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7.13 Approximate Two-Sided All-Treatments Multiple Comparisons Based on Signed Ranks |
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351 | (2) |
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7.14 Approximate One-Sided Treatments versus Control Multiple Comparisons Based on Signed Ranks |
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353 | (4) |
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7.15 Contrast Estimation Based on One-Sample Hodges-Lehmann Estimators |
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357 | (4) |
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7.16 Efficiencies of Two-Way Layout Procedures |
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361 | (2) |
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8 The Independence Problem |
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363 | (52) |
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8.1 A Distribution-Free Test for Independence Based on Signs |
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363 | (19) |
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8.2 An Estimator Associated with the Kendall Statistic |
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382 | (1) |
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8.3 An Asymptotically Distribution-Free Confidence Interval Based on the Kendall Statistic |
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383 | (5) |
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8.4 An Asymptotically Distribution-Free Confidence Interval Based on Efron's Bootstrap |
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388 | (6) |
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8.5 A Distribution-Free Test for Independence Based on Ranks |
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394 | (14) |
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8.6 A Distribution-Free Test for Independence Against Broad Alternatives |
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408 | (5) |
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8.7 Efficiencies of Independence Procedures |
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413 | (2) |
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415 | (43) |
| One Regression Line |
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415 | (14) |
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9.1 A Distribution-Free Test for the Slope of the Regression Line |
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416 | (5) |
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9.2 A Slope Estimator Associated with the Theil Statistic |
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421 | (3) |
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9.3 A Distribution-Free Confidence Interval Associated with the Theil Test |
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424 | (2) |
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9.4 An Intercept Estimator Associated with the Theil Statistic and Use of the Estimated Linear Relationship for Prediction |
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426 | (3) |
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Hettmansperger-McKean-Sheather |
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| k(is greater than or equal to 2) Regression Lines |
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429 | (9) |
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9.5 An Asymptotically Distribution-Free Test for the Parallelism of Several Regression Lines |
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429 | (9) |
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| General Multiple Linear Regression |
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438 | (15) |
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9.6 Asymptotically Distribution-Free Rank-Based Tests for General Multiple Linear Regression |
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438 | (15) |
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| Nonparametric Regression Analysis |
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453 | (5) |
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9.7 An Introduction to Non-Rank-Based Approaches to Nonparametric Regression Analysis |
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453 | (3) |
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9.8 Efficiencies of Regression Procedures |
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456 | (2) |
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10 Comparing Two Success Probabilities |
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458 | (37) |
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10.1 Approximate Tests and Confidence Intervals for the Difference between Two Success Probabilities |
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459 | (14) |
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10.2 An Exact Test for the Difference between Two Success Probabilities |
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473 | (4) |
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10.3 Inference for the Odds Ratio |
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477 | (7) |
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10.4 Inference for k Strata of 2 X 2 Tables |
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484 | (9) |
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493 | (2) |
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11 Life Distributions and Survival Analysis |
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495 | (68) |
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11.1 A Test of Exponentiality versus IFR Alternatives |
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495 | (9) |
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11.2 A Test of Exponentiality versus NBU Alternatives |
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504 | (9) |
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11.3 A Test of Exponentiality versus DMRL Alternatives |
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513 | (7) |
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11.4 A Test of Exponentiality versus a Trend Change in Mean Residual Life |
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520 | (6) |
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11.5 A Confidence Band for the Distribution Function |
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526 | (9) |
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11.6 An Estimator of the Distribution Function When the Data Are Censored |
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535 | (15) |
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11.7 A Two-Sample Test for Censored Data |
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550 | (7) |
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557 | (6) |
| Appendix A Tables and Charts |
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563 | (182) |
| Bibliography |
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745 | (22) |
| Answers to Selected Problems |
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767 | (4) |
| Author Index |
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771 | (8) |
| Subject Index |
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779 | |