Statistical methods for rates and proportions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley
2003
|
| Ausgabe: | 3. ed. |
| Schriftenreihe: | Wiley series in probability and statistics
|
| Schlagworte: | |
| Online-Zugang: | Table of contents Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and indexes |
| Beschreibung: | XXVII, 760 S. graph. Darst. |
| ISBN: | 0471526290 |
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| 100 | 1 | |a Fleiss, Joseph L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Statistical methods for rates and proportions |c Joseph L. Fleiss ; Bruce Levin ; Mynghee Cho Paik |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2003 | |
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| 500 | |a Includes bibliographical references and indexes | ||
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| 650 | 4 | |a Analyse de variance | |
| 650 | 7 | |a Analyse de variance |2 rasuqam | |
| 650 | 4 | |a Biométrie | |
| 650 | 7 | |a Biométrie |2 rasuqam | |
| 650 | 7 | |a Kwalitatieve gegevens |2 gtt | |
| 650 | 7 | |a Méthode statistique |2 rasuqam | |
| 650 | 7 | |a Proportion numérique |2 rasuqam | |
| 650 | 7 | |a Steekproeven |2 gtt | |
| 650 | 7 | |a Variantieanalyse |2 gtt | |
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Datensatz im Suchindex
| _version_ | 1804129610179280896 |
|---|---|
| adam_text | Contents
Preface xvii
Preface to the Second Edition xxi
Preface to the First Edition xxv
1. An Introduction to Applied Probability 1
1.1. Notation and Definitions, 1
1.2. The Rule of Total Probability, 4
1.3. The Evaluation of a Screening Test, 5
1.4. Biases Resulting from the Study of Selected Samples, 9
Problems, 13
References, 15
2. Statistical Inference for a Single Proportion 17
2.1. Exact Inference for a Single Proportion: Hypothesis
Tests, 18
2.2. Exact Inference for a Single Proportion: Interval
Estimation, 22
2.2.1. Definition of an Exact Confidence Interval. 22
2.2.2. A Fundamental Property of Confidence
Intervals, 24
2.3. Using the F Distribution, 25
2.4. Approximate Inference for a Single Proportion, 26
2.4.1. Hypothesis Tests, 27
2.4.2. Confidence Intervals, 28
vii
Viii CONTENTS
2.5. Sample Size for a One Sample Study, 29
2.5.1. Sample Size for Hypothesis Tests, 30
2.5.2. Sample Size for Confidence Intervals, 34
2.6.* Standard Errors by the Delta Method, 36
2.7.* Alternative Definitions of Two Sided P Values and
Confidence Intervals, 37
2.7.1. The Point Probability Method, 37
2.7.2. The Tail Probability Method, 39
2.7.3. The Likelihood Ratio Method, 40
2.7.4. Some Concluding Remarks, 41
Problems, 43
References, 49
3. Assessing Significance in a Fourfold Table 50
3.1. Methods for Generating a Fourfold Table, 51
3.2. Exact Analysis of a Fourfold Table, 55
3.3. Yates Correction for Continuity, 57
3.4. One Tailed versus Two Tailed Tests, 58
3.5. A Simple Confidence Interval for the Difference between
Two Independent Proportions, 60
3.6. An Alternative Critical Ratio Test, 61
Problems, 62
References, 63
4. Determining Sample Sizes Needed to Detect a Difference
between Two Proportions 64
4.1. Specifying a Difference Worth Detecting, 65
4.2. The Mathematics of Sample Size Determination, 69
4.3. Using the Sample Size Tables, 73
4.4. Unequal Sample Sizes, 75
4.5. Some Additional Uses of the Tables, 77
4.6. Some Additional Comments, 80
Problems, 80
References, 83
5. How to Randomize 86
5.1. Selecting a Simple Random Sample, 87
5.2. Randomization in a Clinical Trial, 89
CONTENTS IX
5.3. Variations on Simple Randomization, 93
References, 94
6. Comparative Studies: Cross sectional, Naturalistic, or
Multinomial Sampling 95
6.1. Some Hypothetical Data, 96
6.2. Measures of Association Derived from 2, 97
6.3. The Odds Ratio and Its Logarithm, 100
6.4. Exact Inference for an Odds Ratio: Hypothesis
Tests, 106
6.5. Exact Inference for an Odds Ratio: Confidence
Intervals, 111
6.6. Approximate Inference for an Odds Ratio, 112
6.6.1. Hypothesis Tests, 113
6.6.2. Confidence Intervals, 116
6.6.3.* A Confidence Interval Method to Be
Avoided, 119
6.7. Criticisms of the Odds Ratio, 122
6.8. Attributable Risk, 125
6.9.* Standard Errors for Measures of Association, 129
Problems, 135
References, 140
7. Comparative Studies: Prospective and Retrospective Sampling 144
7.1. Prospective Studies, 144
7.2. Retrospective Studies, 147
7.3. Estimating Attributable Risk from Retrospective
Studies, 151
7.4. The Retrospective Approach versus the Prospective
Approach, 153
Problems, 154
References, 157
8. Randomized Controlled Trials 159
8.1. The Simple Comparative Trial, 161
8.2. The Two Period Crossover Design, 163
8.3. Factors Affecting Power in a Randomized Controlled
Trial, 165
8.3.1. The Intent to Treat Principle, 165
CONTENTS XI
10.9.2. Fixed and Random Effects Meta analysis, 265
10.9.3.* Tests of Odds Ratio Homogeneity in the Large
Sparse Case, 269
Problems, 276
References, 279
11. Logistic Regression 284
11.1. Introduction, 284
11.2. The Log Odds Transformation Revisited, 286
11.3. A Closer Look at Some Logistic Regression
Models, 292
11.3.1. Simple Binary Logistic Regression, 292
11.3.2. Multiple Binary Logistic Regression: Additive
and Interactive Models, 296
11.3.3. Generalized Likelihood Ratio Tests, 300
11.3.4. Log Likelihood Goodness of Fit Tests and the
Analysis of Information, 304
11.4. Polytomous Logistic Regression, 308
11.4.1. An Example: The Double Dichotomy, 308
11.4.2. A General Framework for Multinomial
Responses: The Exponential Family of
Distributions, 314
11.4.3.* General Logistic Regression, 325
Problems, 335
References, 338
12. Poisson Regression 340
12.1. Poisson Random Variables, 340
12.2. Poisson Regression, 345
12.2.1. Simple Poisson Regression, 345
12.2.2. Multiple Poisson Regression, 348
12.3.* Overdispersion, 358
Problems, 366
References, 371
13. The Analysis of Data from Matched Samples 373
13.1. Matched Pairs: Dichotomous Outcome, 374
13.2. Matched Pairs: Polytomous Outcome, 380
Xii CONTENTS
13.3. Multiple Matched Controls per Case, 384
13.4. The Comparison of Matched Samples with m Distinct
Types, 387
13.5. Sample Size Determination for Matched Samples, 394
13.6. Advantages and Disadvantages of Matching, 398
Problems, 400
References, 403
14. Regression Models for Matched Samples 407
14.1. Direct and Indirect Parametric Modeling of
Matched Sample Data, 409
14.2. Conditional Logistic Regression, 416
14.2.1. Matched Case Control Studies: One Case
Matched to One or More Controls, 416
14.2.2. Matched Prospective Studies, 423
14.3. Extensions, 427
14.3.1. Matched Studies with Varying Numbers of Cases
and Controls, 427
14.3.2. Matched Studies with Polytomous
Outcomes, 428
14.4. An Example, 431
14.5. Other Issues, 434
Problems, 436
References, 437
15. Analysis of Correlated Binary Data 440
15.1. Inference for a Single Proportion, 441
15.2. Inference for Two Proportions, 444
15.3. Design Considerations, 448
15.4. 2x2x2Tables, 449
15.4.1. Hypothesis Testing, 449
15.4.2. Inference for the Mantel Haenszel Odds Ratio
with Clustered Data, 460
15.5.* Extensions of Logistic Regression for Correlated
Outcomes, 462
15.5.1. Generalized Estimating Equations, 462
15.5.2. Random Effects Models, 475
Xiv CONTENTS
17.2. The Algebra of Misclassification, 565
17.3. The Algebra of Misclassification: Both Variables in
Error, 569
17.4. Statistical Control for Error, 571
17.5. Probabilistic Control for Error, 573
17.6. Experimental Control of Error, 575
17.7.* Misclassification in Logistic Regression Models, 578
Problems, 589
References, 592
18. The Measurement of Interrater Agreement 598
18.1. The Same Pair of Raters per Subject, 599
18.2. Weighted Kappa, 608
18.3. Multiple Ratings per Subject with Different
Raters, 610
18.4. Further Applications, 617
18.5.* Interrater Agreement as Association in a Multivariate
Binary Vector, 618
Problems, 622
References, 623
19. The Standardization of Rates 627
19.1. Reasons for and Warnings against Standardization, 629
19.2. Two Types of Standardization: Direct and Indirect, 630
19.3. Indirect Standardization, 632
19.4. A Feature of Indirect Standardization, 634
19.5. Direct Standardization, 636
19.6. Some Other Summary Indices, 638
19.7. Adjustment for Two Factors, 640
Problems, 645
References, 646
Appendix A. Numerical Tables 648
A.I. Critical Values of the Normal Distribution, 649
A.2. Critical Values of the Chi Squared Distribution, 650
A.3. Percentage Points of the F Distribution, 652
A.4. Sample Sizes per Group for a Two Tailed Test of
Two Proportions, 660
CONTENTS XV
A.5. 20,000 Random Digits, 684
A.6. Natural Logarithms of x(ln x), 692
A.7. Percentage Points of Bartholomew s Test for Order
When m = 3 Proportions Are Compared, 694
A.8. Percentage Points of Bartholomew s Test for Order
When m = 4 Proportions Are Compared, 695
A.9. Percentage Points of Bartholomew s Test for Order
When Up to m = 12 Proportions Based on Equal Sample
Sizes Are Compared, 696
A. 10. The Logit Transformation, 697
Appendix B. The Basic Theory of Maximum Likelihood Estimation 698
Appendix C. Answers to Selected Problems 705
Author Index 727
Subject Index 737
|
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| author | Fleiss, Joseph L. |
| author_facet | Fleiss, Joseph L. |
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| building | Verbundindex |
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| dewey-search | 519.538 |
| dewey-sort | 3519.538 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV014842839 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:07:52Z |
| institution | BVB |
| isbn | 0471526290 |
| language | English |
| lccn | 2002191005 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010041004 |
| oclc_num | 50898468 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-898 DE-BY-UBR DE-29T DE-1047 DE-91G DE-BY-TUM DE-945 DE-11 DE-578 DE-824 DE-473 DE-BY-UBG |
| owner_facet | DE-19 DE-BY-UBM DE-898 DE-BY-UBR DE-29T DE-1047 DE-91G DE-BY-TUM DE-945 DE-11 DE-578 DE-824 DE-473 DE-BY-UBG |
| physical | XXVII, 760 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in probability and statistics |
| spelling | Fleiss, Joseph L. Verfasser aut Statistical methods for rates and proportions Joseph L. Fleiss ; Bruce Levin ; Mynghee Cho Paik 3. ed. Hoboken, NJ Wiley 2003 XXVII, 760 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Includes bibliographical references and indexes Analyse de régression rasuqam Analyse de variance Analyse de variance rasuqam Biométrie Biométrie rasuqam Kwalitatieve gegevens gtt Méthode statistique rasuqam Proportion numérique rasuqam Steekproeven gtt Variantieanalyse gtt Échantillonnage (Statistique) Échantillonnage (Statistique) rasuqam Statistik Analysis of Variance Analysis of variance Biometry Sampling (Statistics) Sampling Studies Statistics methods Varianzanalyse (DE-588)4187413-4 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Varianzanalyse (DE-588)4187413-4 s DE-604 Statistik (DE-588)4056995-0 s Methode (DE-588)4038971-6 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Levin, Bruce A. Sonstige oth Paik, Myunghee Cho Sonstige oth http://www.loc.gov/catdir/toc/wiley031/2002191005.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010041004&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fleiss, Joseph L. Statistical methods for rates and proportions Analyse de régression rasuqam Analyse de variance Analyse de variance rasuqam Biométrie Biométrie rasuqam Kwalitatieve gegevens gtt Méthode statistique rasuqam Proportion numérique rasuqam Steekproeven gtt Variantieanalyse gtt Échantillonnage (Statistique) Échantillonnage (Statistique) rasuqam Statistik Analysis of Variance Analysis of variance Biometry Sampling (Statistics) Sampling Studies Statistics methods Varianzanalyse (DE-588)4187413-4 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd Methode (DE-588)4038971-6 gnd |
| subject_GND | (DE-588)4187413-4 (DE-588)4064324-4 (DE-588)4056995-0 (DE-588)4038971-6 |
| title | Statistical methods for rates and proportions |
| title_auth | Statistical methods for rates and proportions |
| title_exact_search | Statistical methods for rates and proportions |
| title_full | Statistical methods for rates and proportions Joseph L. Fleiss ; Bruce Levin ; Mynghee Cho Paik |
| title_fullStr | Statistical methods for rates and proportions Joseph L. Fleiss ; Bruce Levin ; Mynghee Cho Paik |
| title_full_unstemmed | Statistical methods for rates and proportions Joseph L. Fleiss ; Bruce Levin ; Mynghee Cho Paik |
| title_short | Statistical methods for rates and proportions |
| title_sort | statistical methods for rates and proportions |
| topic | Analyse de régression rasuqam Analyse de variance Analyse de variance rasuqam Biométrie Biométrie rasuqam Kwalitatieve gegevens gtt Méthode statistique rasuqam Proportion numérique rasuqam Steekproeven gtt Variantieanalyse gtt Échantillonnage (Statistique) Échantillonnage (Statistique) rasuqam Statistik Analysis of Variance Analysis of variance Biometry Sampling (Statistics) Sampling Studies Statistics methods Varianzanalyse (DE-588)4187413-4 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd Methode (DE-588)4038971-6 gnd |
| topic_facet | Analyse de régression Analyse de variance Biométrie Kwalitatieve gegevens Méthode statistique Proportion numérique Steekproeven Variantieanalyse Échantillonnage (Statistique) Statistik Analysis of Variance Analysis of variance Biometry Sampling (Statistics) Sampling Studies Statistics methods Varianzanalyse Wahrscheinlichkeitsrechnung Methode |
| url | http://www.loc.gov/catdir/toc/wiley031/2002191005.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010041004&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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