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      Permutation statistical methods : an integrated approach

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      https://www.riss.kr/link?id=M14211340

      • 저자
      • 발행사항

        Cham : Springer, 2016

      • 발행연도

        2016

      • 작성언어

        영어

      • 주제어
      • DDC

        519.5 판사항(23)

      • ISBN

        9783319287683 (hbk.)
        3319287680
        9783319287706 (ebk.)

      • 자료형태

        일반단행본

      • 발행국(도시)

        스위스

      • 서명/저자사항

        Permutation statistical methods : an integrated approach / Kenneth J. Berry, Paul W. Mielke, Jr., Janis E. Johnston.

      • 형태사항

        622 p. : ill. ; 24 cm.

      • 일반주기명

        Includes bibliographical references and indexes.
        Preface -- 1.Introduction -- 2.Completely Randomized Data -- 3.Randomized Designs: Interval Data -- 4.Regression Analysis of Interval Data -- 5.Randomized Designs: Ordinal Data, I -- 6.Randomized Designs: Ordinal Data, II -- 7.Randomized Designs: Nominal Data -- 8.Randomized Designs: Nominal Data -- 9.Randomized Block Designs: Interval Data -- 10.Randomized Block Designs: Ordinal Data -- 11.Randomized Block Designs: Nominal Data -- Epilogue -- References -- Author Index -- Subject Index.

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      목차 (Table of Contents)

      • CONTENTS
      • 1 Introduction = 1
      • 1.1 Models of Statistical Inference = 2
      • 1.2 Permutation Statistical Tests = 3
      • 1.2.1 Exact Permutation Tests = 4
      • CONTENTS
      • 1 Introduction = 1
      • 1.1 Models of Statistical Inference = 2
      • 1.2 Permutation Statistical Tests = 3
      • 1.2.1 Exact Permutation Tests = 4
      • 1.2.2 Moment-Approximation Permutation Tests = 11
      • 1.2.3 Resampling-Approximation Permutation Tests = 13
      • 1.2.4 Mehta-Patel Network Algorithm = 14
      • 1.3 Permutation and Parametric Statistical Tests = 15
      • 1.3.1 Permutation Tests and Normality = 15
      • 1.3.2 Mathematical Recursion = 17
      • 1.3.3 Calculation with an Arbitrary Initial Value = 20
      • 1.3.4 Variable Portion of a Test Statistic = 21
      • 1.4 Overviews of Chaps. 2-11 = 23
      • 1.4.1 Chapter 2 : Completely Randomized Data = 23
      • 1.4.2 Chapter 3 : Randomized Interval-Level Data = 24
      • 1.4.3 Chapter 4 : Regression Analysis of Interval Data = 24
      • 1.4.4 Chapter 5 : Randomized Ordinal-Level Data - Ⅰ = 24
      • 1.4.5 Chapter 6 : Randomized Ordinal-Level Data - Ⅱ = 25
      • 1.4.6 Chapter 7 : Randomized Nominal-Level Data = 25
      • 1.4.7 Chapter 8 : Randomized Block Data = 25
      • 1.4.8 Chapter 9 : Blocked Interval-Level Data = 26
      • 1.4.9 Chapter 10 : Blocked Ordinal-Level Data = 26
      • 1.4.10 Chapter 11 : Blocked Nominal-Level Data = 26
      • 1.5 Coda = 26
      • 2 Completely Randomized Data = 29
      • 2.1 Minkowski Distance Function = 29
      • 2.2 Multi-response Permutation Procedures = 31
      • 2.2.1 Chance-Corrected Agreement Measures = 38
      • 2.2.2 Example Univariate MRPP Analysis with υ=2 = 39
      • 2.2.3 Example Univariate MRPP Analysis with υ=1 = 42
      • 2.2.4 Example Bivariate MRPP Analysis with υ=2 = 45
      • 2.2.5 Example Bivariate MRPP Analysis with υ=1 = 51
      • 2.3 Coda = 53
      • 3 Randomized Designs : Interval Data = 57
      • 3.1 Permutation Analogue of Student's t Test = 60
      • 3.2 Measures of Effect Size = 61
      • 3.2.1 Cohen's d = 64
      • 3.2.2 Hedges' g = 65
      • 3.2.3 Pearson's r² = 67
      • 3.2.4 Kelley's ε² = 67
      • 3.2.5 Hays' ω² = 67
      • 3.2.6 Mielke and Berry's K = 68
      • 3.2.7 Biased Estimators = 72
      • 3.3 Example Univariate MRPP Analyses with g=2 = 73
      • 3.3.1 Example 1 = 73
      • 3.3.2 Example 2 = 77
      • 3.3.3 Example 3 = 79
      • 3.4 Permutation Analogue of Hotelling's T²Test = 80
      • 3.5 Example Bivariate MRPP Analyses with g=2 = 82
      • 3.5.1 Example 1 = 82
      • 3.5.2 Example 2 = 86
      • 3.5.3 Example 3 = 88
      • 3.6 Permutation Analogue of One-Way ANOVA = 89
      • 3.6.1 Computing Efficiency = 91
      • 3.7 Example Univariate MRPP Analyses with g=4 = 92
      • 3.7.1 Example 1 = 92
      • 3.7.2 Example 2 = 99
      • 3.7.3 Example 3 = 102
      • 3.8 Permutation Analogue of One-Way MANOVA = 104
      • 3.9 Example Bivariate MRPP Analyses with g=3 = 105
      • 3.9.1 Example 1 = 105
      • 3.9.2 Example 2 = 110
      • 3.9.3 Example 3 = 111
      • 3.10 Coda = 112
      • 4 Regression Analysis of Interval Data = 115
      • 4.1 LAD Linear Regression = 115
      • 4.1.1 Linear Regression and Agreement = 118
      • 4.2 Example LAD Regression Analyses = 120
      • 4.2.1 Example Analysis 1 = 120
      • 4.2.2 Example Analysis 2 = 121
      • 4.2.3 Example Analysis 3 = 123
      • 4.3 LAD Regression and Analysis of Variance Designs = 123
      • 4.3.1 One-Way Randomized Design = 124
      • 4.3.2 One-Way Randomized Design with a Covariate = 131
      • 4.3.3 One-Way Randomized-Block Design = 136
      • 4.3.4 Two-Way Randomized-Block Design = 143
      • 4.3.5 Two-Way Factorial Design = 156
      • 4.3.6 Latin Square Design = 170
      • 4.3.7 Split-Plot Design = 179
      • 4.3.8 Nested Design = 196
      • 4.4 Multivariate Multiple Regression Designs = 207
      • 4.4.1 Example Analysis = 209
      • 4.5 Coda = 214
      • 5 Randomized Designs : Ordinal Data, Ⅰ = 217
      • 5.1 Introduction = 217
      • 5.2 Rank-Order Statistics = 219
      • 5.3 Two-Sample Rank-Sum Tests = 221
      • 5.4 Example Analyses = 223
      • 5.4.1 Example 1 = 223
      • 5.4.2 Example 2 = 227
      • 5.4.3 Example 3 = 228
      • 5.5 MRPP and the Kruskal - Wallis Rank-Sum Test = 229
      • 5.6 Example Analyses = 230
      • 5.6.1 Example 1 = 230
      • 5.6.2 Example 2 = 234
      • 5.6.3 Example 3 = 235
      • 5.7 Three Two-Sample Classes of Rank Tests = 236
      • 5.8 MRPP and Two-Sample Power-of-Rank Functions = 237
      • 5.9 Example ANs Analyses with s=1 = 238
      • 5.9.1 Example 1 = 239
      • 5.9.2 Example 2 = 243
      • 5.9.3 Example 3 = 244
      • 5.10 Example ANs Analyses with s=2 = 246
      • 5.10.1 Example 1 = 246
      • 5.10.2 Example 2 = 251
      • 5.10.3 Example 3 = 252
      • 5.11 Example BNs Analyses with s=1 = 253
      • 5.11.1 Example 1 = 255
      • 5.11.2 Example 2 = 260
      • 5.11.3 Example 3 = 261
      • 5.12 Example BNs Analyses with s=2 = 262
      • 5.12.1 Example 1 = 263
      • 5.12.2 Example 2 = 267
      • 5.12.3 Example 3 = 269
      • 5.13 Example CNs Analyses with s=0 = 270
      • 5.13.1 Example 1 = 270
      • 5.13.2 Example 2 = 275
      • 5.13.3 Example 3 = 276
      • 5.14 Example CNs Analyses with s=1 = 278
      • 5.14.1 Example 1 = 278
      • 5.14.2 Example 2 = 282
      • 5.14.3 Example 3 = 284
      • 5.15 Example CNs Analyses with s=2 = 285
      • 5.15.1 Example 1 = 285
      • 5.15.2 Example 2 = 288
      • 5.15.3 Example 3 = 289
      • 5.16 MRPP and Kendall's S Statistic = 291
      • 5.17 Example Analyses = 295
      • 5.17.1 Example 1 = 295
      • 5.17.2 Example 2 = 300
      • 5.17.3 Example 3 = 301
      • 5.18 MRPP and Cureton's Rank-Biserial Correlation = 302
      • 5.18.1 Example 1 = 304
      • 5.18.2 Example 2 = 311
      • 5.18.3 Example 3 = 313
      • 5.19 Coda = 314
      • 6 Randomized Designs : Ordinal Data,Ⅱ = 315
      • 6.1 Introduction = 315
      • 6.2 MRPP with r=2 and g=2 = 319
      • 6.3 MRPP for the WMW Rank-Sum Test with r=2 = 324
      • 6.3.1 Example 1 = 324
      • 6.3.2 Example 2 = 327
      • 6.3.3 Example 3 = 328
      • 6.4 MRPP for the KW Rank-Sum Test with r=2 = 329
      • 6.4.1 Example 1 = 329
      • 6.4.2 Example 2 = 332
      • 6.4.3 Example 3 = 333
      • 6.5 MRPP for the ANs Function with s=1 = 334
      • 6.5.1 Example 1 = 334
      • 6.5.2 Example 2 = 337
      • 6.5.3 Example 3 = 338
      • 6.6 MRPP for the ANs Function with s=2 = 339
      • 6.6.1 Example 1 = 339
      • 6.6.2 Example 2 = 341
      • 6.6.3 Example 3 = 342
      • 6.7 MRPP for the BNs Function with s=1 = 343
      • 6.7.1 Example 1 = 343
      • 6.7.2 Example 2 = 345
      • 6.7.3 Example 3 = 346
      • 6.8 MRPP for the BNs Function with s=2 = 346
      • 6.8.1 Example 1 = 346
      • 6.8.2 Example 2 = 348
      • 6.8.3 Example 3 = 349
      • 6.9 MRPP for the CNs Function with s=0 = 350
      • 6.9.1 Example 1 = 350
      • 6.9.2 Example 2 = 352
      • 6.9.3 Example 3 = 353
      • 6.10 MRPP for the CNs Function with s=1 = 353
      • 6.10.1 Example 1 = 354
      • 6.10.2 Example 2 = 355
      • 6.10.3 Example 3 = 356
      • 6.11 MRPP for the CNs Function with s=2 = 357
      • 6.11.1 Example 1 = 357
      • 6.11.2 Example 2 = 359
      • 6.11.3 Example 3 = 360
      • 6.12 MRPP for Cureton's Rank-Biserial Statistic = 360
      • 6.12.1 Example 1 = 360
      • 6.12.2 Example 2 = 362
      • 6.12.3 Example 3 = 363
      • 6.13 Coda = 364
      • 7 Randomized Designs : Nominal Data = 367
      • 7.1 Introduction = 368
      • 7.2 Goodman and Kruskal's t?and tb Statistics = 370
      • 7.2.1 Goodman and Kruskal's t? and δ = 372
      • 7.2.2 Example Analysis for t? = 374
      • 7.2.3 Example Analysis for tb = 379
      • 7.2.4 Goodman-Kruskal's t?, δ?, and Χ² = 383
      • 7.2.5 Fourfold Contingency Tables = 391
      • 7.2.6 Chi-Squared and δ = 396
      • 7.3 Multiple Binary Choices = 398
      • 7.3.1 Example Analysis 1 = 399
      • 7.3.2 Example Analysis 2 = 401
      • 7.3.3 Example Analysis 3 = 403
      • 7.4 Multivariate Measures of Association = 405
      • 7.4.1 Interval Dependent Variables = 406
      • 7.4.2 Ordinal Dependent Variables = 409
      • 7.4.3 Nominal Dependent Variables = 412
      • 7.4.4 Mixed Dependent Variables = 414
      • 7.5 Relationships Between K and Existing Statistics = 416
      • 7.5.1 Interval-Level Dependent Variable = 417
      • 7.5.2 Ordinal-Level Dependent Variable = 418
      • 7.5.3 Nominal-Level Dependent Variable = 418
      • 7.6 Coda = 419
      • 8 Randomized Block Data = 421
      • 8.1 Multivariate Block Permutation Procedures = 421
      • 8.1.1 Randomized-Block Designs and Alignment = 424
      • 8.1.2 Example Univariate MRBP Analysis with υ=2 = 425
      • 8.1.3 Example Univariate MRBP Analysis with υ=1 = 428
      • 8.1.4 Example Bivariate MRBP Analysis with υ=2 = 431
      • 8.1.5 Example Bivariate MRBP Analysis with υ=1 = 434
      • 8.2 MRBP and Pearson's Product-Moment Correlation = 437
      • 8.2.1 Example MRBP Correlation Analysis = 438
      • 8.2.2 Permutations of g Response Measurements = 440
      • 8.3 Coda = 443
      • 9 Randomized Block Designs : Interval Data = 445
      • 9.1 Permutation Analogue of Student's t Test = 447
      • 9.1.1 Example 1 : υ=2 = 448
      • 9.1.2 Example 2 : υ=1 = 450
      • 9.2 Permutation Analogue of Hotelling's T²Test = 451
      • 9.2.1 Example 1 : υ=2 = 454
      • 9.2.2 Example 2 : υ=1 = 456
      • 9.3 Permutation Analogue of ANOVA = 457
      • 9.3.1 Example 1 : υ=2 = 459
      • 9.3.2 Homogeneity Assumptions = 461
      • 9.3.3 Example 2 : υ=1 = 464
      • 9.4 Permutation Analogue of MANOVA = 465
      • 9.4.1 Example 1 : υ=2 = 465
      • 9.4.2 Example 2 : υ=1 = 466
      • 9.5 MRBP and Pearson's Product-Moment Correlation = 467
      • 9.5.1 Example 1 : υ=2 = 468
      • 9.5.2 Example 2 : υ=1 = 469
      • 9.5.3 Example 3 : Permutation Data = 470
      • 9.6 Coda = 472
      • 10 Randomized Block Designs : Ordinal Data = 473
      • 10.1 Introduction = 473
      • 10.2 Wilcoxon Signed-Ranks Test = 475
      • 10.2.1 Example 1 : υ=2 = 476
      • 10.2.2 Example 2 : υ=l = 479
      • 10.3 Sign Test = 480
      • 10.3.1 Example Sign Test = 480
      • 10.4 Spearman's Rank-Order Correlation Coefficient = 482
      • 10.4.1 Example : v=2 = 484
      • 10.5 Spearman's Footrule Agreement Measure = 486
      • 10.5.1 Norming and Tied Rank Scores = 487
      • 10.5.2 Probability of Spearman's Footrule = 490
      • 10.5.3 Example : υ=1 = 490
      • 10.5.4 Multiple Blocks = 492
      • 10.5.5 Example Analysis = 492
      • 10.6 Friedman's Analysis of Variance for Ranks = 494
      • 10.6.1 Example 1 : υ=2 = 496
      • 10.6.2 Example 2 : υ=1 = 500
      • 10.7 MRBP and the Measurement of Agreement = 500
      • 10.7.1 Limitations of Kappa = 502
      • 10.7.2 Cohen's Weighted Kappa = 503
      • 10.7.3 Weighted Kappa Example = 505
      • 10.7.4 Relationship of K and Cohen's Weighted K = 507
      • 10.7.5 Multiple Judges = 513
      • 10.7.6 An Alternative Approach to Multiple Judges = 515
      • 10.8 MRBP and Measures of Ordinal Association = 519
      • 10.8.1 Example 1 = 522
      • 10.8.2 Example 2 = 527
      • 10.8.3 Example 3 = 530
      • 10.8.4 Example 4 = 534
      • 10.9 Selected Measures of Ordinal Association and δ = 537
      • 10.9.1 Kendall's τ? Statistic and δ = 538
      • 10.9.2 Kendall's τb Statistic and δ = 538
      • 10.9.3 Stuart's τc Statistic and δ = 539
      • 10.9.4 Goodman and Kruskal's γ Statistic and δ = 540
      • 10.9.5 Somers' dyx Statistic and δ = 540
      • 10.9.6 Somers' dxy Statistic and δ = 541
      • 10.10 Coda = 541
      • 11 Randomized Block Designs : Nominal Data = 543
      • 11.1 Introduction = 543
      • 11.2 Cohen's Kappa Measure of Agreement = 545
      • 11.2.1 Multiple Judges = 550
      • 11.2.2 An Alternative Approach to Multiple Judges = 552
      • 11.3 McNemar's Q Test and δ = 554
      • 11.3.1 Example Analysis = 555
      • 11.4 Cochran's Q Test and δ = 557
      • 11.4.1 Example Analysis = 558
      • 11.4.2 Multiple Binary Responses = 561
      • 11.5 MRBP and Categorical Fourfold Tables = 564
      • 11.5.1 Kendall's t?Statistic and δ = 567
      • 11.5.2 Yule's Q Statistic and δ = 568
      • 11.5.3 Yule's Y Statistic and δ = 569
      • 11.5.4 The Odds Ratio and δ = 571
      • 11.5.5 Relationships Among Q, Y, and φ = 571
      • 11.5.6 Somers' dxy/dyx and δ = 572
      • 11.6 A Reanalysis of the Data = 574
      • 11.6.1 Pearson's rxy and K = 578
      • 11.6.2 MRBP and Regression Coefficients = 579
      • 11.6.3 MRBP and Percentage Differences = 580
      • 11.6.4 MRBP and Chi-Squared = 583
      • 11.7 Coda = 584
      • Epilogue = 585
      • Overview = 585
      • Permutation Methods = 587
      • Summary = 588
      • References = 591
      • Author Index = 607
      • Subject Index = 613
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