Statistical tools for epidemiologic research:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2011
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 494 S. zahlr. graph. Darst. |
| ISBN: | 9780199755967 0199755965 |
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MARC
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Record in the Search Index
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| adam_text | Titel: Statistical tools for epidemiologic research
Autor: Selvin, Steve
Jahr: 2011
1. Two Measures of Risk: Odds Ratios and Average Rates, 3
Odds Ratio, 3
Properties of the Odds Ratio, 13
Three Statistical Terms, 16
Average Rates, 19
Geometry of an Average Rate, 23
Proportionate Mortality Rates, 25
2. Tabular Data: The 2xlc Table and Summarizing 2x2 Tables, 28
The 2 x k Table, 28
Independence/Homogeneity, 29
Independence, 30
Homogeneity, 32
Regression, 33
Two-Sample: Comparison of Two Mean Values, 38
An Example: Childhood Cancer and Prenatal X-ray Exposure, 40
Summary of the Notation for a 2 x k Table, 43
Summarizing 2x2 Tables: Application of a Weighted Average, 44
Another Summary Measure: Difference in Proportions, 50
Confounding, 52
XI
xii Contents
3. Two Especially Useful Estimation Tools, 54
Maximum Likelihood Estimation, 54
Four Properties of Maximum Likelihood Estimates, 58
Likelihood Statistics, 59
The Statistical Properties of a Function, 63
Application 1: Poisson Distribution, 64
Application 2: Variance of a Logarithm of a Variable, 65
Application 3: Variance of the Logarithm of a Count, 66
4. Linear Logistic Regression: Discrete Data, 67
The Simplest Logistic Regression Model: The 2x2 Table, 69
The Logistic Regression Model: The 2x2x2 Table, 75
Additive Logistic Regression Model, 81
A Note on the Statistical Power to Identify Interaction Effects, 84
The Logistic Regression Model: The 2 x k Table, 86
The Logistic Regression Model: Multivariable Table, 91
Goodness-of-Fit: Multivariable Table, 94
Logistic Regression Model: The Summary Odds Ratio, 98
Description of the WCGS Data Set, 105
5. Logistic Regression: Continuous Data, 107
Four Basic Properties of Multivariable Regression Model Analysis, 109
Additivity, 109
Confounding Influence, 111
The Geometry of Interaction and Confounding, 114
The Geometry of Statistical Adjustment, 116
Logistic Regression Analysis, 119
6. Analysis of Count Data: Poisson Regression Model, 131
Poisson Multivariable Regression Model: Technical Description, 132
Illustration of the Poisson Regression Model, 133
Poisson Regression Model: Hodgkin Disease Mortality, 135
The Simplest Poisson Regression Model: The 2x2 Table, 142
Application of the Poisson Regression Model: Categorical Data, 145
Application of the Poisson Regression Model: Count Data, 147
Poisson Regression Example: Adjusted Perinatal Mortality Rates, 151
First Approach: Weight-Specific Comparisons, 151
Second Approach: A Model-Free Summary, 156
Third Approach: Poisson Regression Model, 159
Contents xiii
7. Analysis of Matched Case-Control Data, 164
The 2 x 2 Case-Control Table, 164
Odds Ratio for Matched Data, 169
Confidence Interval for the Matched-Pairs Odds Ratio, 170
Evaluating an Estimated Odds Ratio, 172
Disregarding the Matched Design, 174
Interaction with the Matching Variable, 175
Matched Pairs Analysis: More than One Control, 177
Matched Analysis: Multilevel Categorical Risk Factor, 181
Conditional Analysis of Logistic Regression Models, 185
Conditional Logistic Analysis: Binary Risk Factor, 186
Multiple Controls per Case, 187
Conditional Logistic Analysis: A Bivariate Regression Model, 188
Conditional Logistic Analysis: Interactions with the Matching Variable, 189
Conditional Logistic Analysis: -Level Category Risk Variable, 191
Conditional Logistic Analysis: Continuous Variables, 192
Additive Logistic Regression Model, 195
8. Spatial Data: Estimation and Analysis, 197
Poisson Probability Distribution: An Introduction, 198
Nearest-Neighbor Analysis, 203
Comparison of Cumulative Probability Distribution Functions, 208
Randomization Test, 211
Bootstrap Estimation, 217
Example: Bootstrap Estimation of a Percentage Decrease, 222
Properties of the Odds Ratio and the Logarithm of an Odds Ratio, 225
Estimation of ABO Allele Frequencies, 228
An Important Property (Bootstrap versus Randomization), 231
A Last Example: Assessment of Spatial Data, 233
9. Classification: Three Examples, 238
Dendogram Classification, 240
Principal Component Summaries, 244
Genetic Classification, 249
A Multivariate Picture, 254
10. Three Smoothing Techniques, 257
Smoothing: A Simple Approach, 258
Kernel Density Estimation, 261
Spline Estimated Curves, 267
Data Analysis with Spline-Estimated Curves: An Example, 283
xiv Contents
11. Case Study: Description and Analysis, 287
12. Longitudinal Data Analysis, 310
Within and Between Variability, 313
A Simple Example, 319
Elementary Longitudinal Models: Polynomial Models, 321
Elementary Longitudinal Models: Spline Models, 327
Random Intercept Model, 331
Random Intercept and Random Slope Regression Model, 341
Mechanics of a Variance/Covariance Array, 343
13. Analysis of Multivariate Tables, 345
Analysis of Ordinal Data, 345
Wilcoxon (Mann-Whitney) Rank Sum Test, 346
Correlation Between Ordinal Variables, 354
Log-Linear Models: Categorical Data Analysis, 358
Independence in a Two-Way Table, 359
Tables with Structural Zeros, 362
Capture/Recapture Model, 365
Categorical Variable Analysis from Matched Pairs Data, 369
Quasi-Independence: Association in a R x C Table, 373
The Analysis of a Three-Way Table, 375
Complete Independence, 377
Joint Independence, 378
Conditional Independence, 379
Additive Measures of Association, 381
14. Misclassiftcation: A Detailed Description of a Simple Case, 388
Example: Misclassification of the Disease Status, 388
Example: Misclassification of the Risk Factor Status, 389
A Few Illustrations of Misclassification, 391
Agreement Between Two Methods of Classification: Categorical Data, 394
Disagreement, 399
A Measurement of Accuracy: Continuous Data, 401
Parametric Approach, 403
Nonparametric Approach, 408
A Detailed Example of a Nonparametric ROC Curve, 412
Area Under the ROC Curve, 414
Application: ROC Analysis Applied to Carotid Artery Disease Data, 417
Agreement Between Two Methods of Measurement: Continuous Data, 421
A Statistical Model: Two-Measurement Model, 421
Contents x
An Alternative Approach: Bland-Altman Analysis, 429
Another Application of Perpendicular Least-Squares Estimation, 433
15. Advanced Topics, 436
Confidence Intervals, 436
An Example of a Bivariate Confidence Region, 442
Confidence Band, 444
Nonparametric Regression Methods, 447
Bivariate Loess Estimation, 454
Two-Dimensional Kernel Estimation, 458
Statistical Tests and a Few of Their Properties, 462
Power of a Specific Statistical Test: The Normal Distribution Case, 463
Power of a Statistical Test: The Chi-Square Distribution Case, 467
Three Applications, 470
Multiple Statistical Tests: Accumulation of Type I Errors, 477
References, 485
Index, 489
|
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| dewey-full | 614.402/1 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 614 - Forensic medicine; incidence of disease |
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| dewey-sort | 3614.402 11 |
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| discipline | Mathematik Medizin |
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| indexdate | 2024-07-09T23:23:29Z |
| institution | BVB |
| isbn | 9780199755967 0199755965 |
| language | English |
| lccn | 2010013555 |
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| spelling | Selvin, Steve 1941- Verfasser (DE-588)1206899549 aut Statistical tools for epidemiologic research Steve Selvin Oxford [u.a.] Oxford Univ. Press 2011 XV, 494 S. zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Epidemiology Statistical methods Epidemiologic Methods Epidemiologie (DE-588)4015016-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Epidemiologie (DE-588)4015016-1 s Statistik (DE-588)4056995-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022552339&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Selvin, Steve 1941- Statistical tools for epidemiologic research Epidemiology Statistical methods Epidemiologic Methods Epidemiologie (DE-588)4015016-1 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4015016-1 (DE-588)4056995-0 |
| title | Statistical tools for epidemiologic research |
| title_auth | Statistical tools for epidemiologic research |
| title_exact_search | Statistical tools for epidemiologic research |
| title_full | Statistical tools for epidemiologic research Steve Selvin |
| title_fullStr | Statistical tools for epidemiologic research Steve Selvin |
| title_full_unstemmed | Statistical tools for epidemiologic research Steve Selvin |
| title_short | Statistical tools for epidemiologic research |
| title_sort | statistical tools for epidemiologic research |
| topic | Epidemiology Statistical methods Epidemiologic Methods Epidemiologie (DE-588)4015016-1 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Epidemiology Statistical methods Epidemiologic Methods Epidemiologie Statistik |
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