Sample Size Determination and Power

Overview

A comprehensive approach to sample size determination and power with applications for a variety of fields

Sample Size Determination and Power features a modern introduction to the applicability of sample size determination and provides a variety of discussions on broad topics including epidemiology, microarrays, survival analysis and reliability, design of experiments, regression, and confidence intervals.

The book distinctively merges ...

See more details below
Hardcover (New Edition)
$105.97
BN.com price
(Save 3%)$110.00 List Price
Other sellers (Hardcover)
  • All (8) from $84.17   
  • New (6) from $87.82   
  • Used (2) from $84.17   
Sample Size Determination and Power

Available on NOOK devices and apps  
  • NOOK Devices
  • Samsung Galaxy Tab 4 NOOK 7.0
  • Samsung Galaxy Tab 4 NOOK 10.1
  • NOOK HD Tablet
  • NOOK HD+ Tablet
  • NOOK eReaders
  • NOOK Color
  • NOOK Tablet
  • Tablet/Phone
  • NOOK for Windows 8 Tablet
  • NOOK for iOS
  • NOOK for Android
  • NOOK Kids for iPad
  • PC/Mac
  • NOOK for Windows 8
  • NOOK for PC
  • NOOK for Mac

Want a NOOK? Explore Now

NOOK Book (eBook)
$62.99
BN.com price
(Save 42%)$110.00 List Price

Overview

A comprehensive approach to sample size determination and power with applications for a variety of fields

Sample Size Determination and Power features a modern introduction to the applicability of sample size determination and provides a variety of discussions on broad topics including epidemiology, microarrays, survival analysis and reliability, design of experiments, regression, and confidence intervals.

The book distinctively merges applications from numerous fields such as statistics, biostatistics, the health sciences, and engineering in order to provide a complete introduction to the general statistical use of sample size determination. Advanced topics including multivariate analysis, clinical trials, and quality improvement are addressed, and in addition, the book provides considerable guidance on available software for sample size determination. Written by a well-known author who has extensively class-tested the material, Sample Size Determination and Power:

  • Highlights the applicability of sample size determination and provides extensive literature coverage
  • Presents a modern, general approach to relevant software to guide sample size determination including CATD (computer-aided trial design)
  • Addresses the use of sample size determination in grant proposals and provides up-to-date references for grant investigators

An appealing reference book for scientific researchers in a variety of fields, such as statistics, biostatistics, the health sciences, mathematics, ecology, and geology, who use sampling and estimation methods in their work, Sample Size Determination and Power is also an ideal supplementary text for upper-level undergraduate and graduate-level courses in statistical sampling.

Read More Show Less

Product Details

  • ISBN-13: 9781118437605
  • Publisher: Wiley
  • Publication date: 8/5/2013
  • Series: Wiley Series in Probability and Statistics Series
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 404
  • Sales rank: 867,895
  • Product dimensions: 6.10 (w) x 9.30 (h) x 1.00 (d)

Meet the Author

THOMAS P. RYAN, PhD, teaches online advanced statistics courses for Northwestern University and The Institute for Statistics Education in sample size determination, design of experiments, engineering statistics, and regression analysis.

Read More Show Less

Table of Contents

Preface xv

1 Brief Review of Hypothesis Testing Concepts/Issues and Confidence Intervals 1

1.1 Basic Concepts of Hypothesis Testing, 1

1.2 Review of Confidence Intervals and Their Relationship to Hypothesis Tests, 5

1.3 Sports Applications, 9

1.4 Observed Power, Retrospective Power, Conditional Power, and Predictive Power, 9

1.5 Testing for Equality, Equivalence, Noninferiority, or Superiority, 10

1.5.1 Software, 11

References, 12

Exercises, 14

2 Methods of Determining Sample Sizes 17

2.1 Internal Pilot Study Versus External Pilot Study, 20

2.2 Examples: Frequentist and Bayesian, 24

2.2.1 Bayesian Approaches, 30

2.2.2 Probability Assessment Approach, 31

2.2.3 Reproducibility Probability Approach, 32

2.2.4 Competing Probability Approach, 32

2.2.5 Evidential Approach, 32

2.3 Finite Populations, 32

2.4 Sample Sizes for Confidence Intervals, 33

2.4.1 Using the Finite Population Correction Factor, 36

2.4.1.1 Estimating Population Totals, 38

2.5 Confidence Intervals on Sample Size and Power, 39

2.6 Specification of Power, 39

2.7 Cost of Sampling, 40

2.8 Ethical Considerations, 40

2.9 Standardization and Specification of Effect Sizes, 42

2.10 Equivalence Tests, 43

2.11 Software and Applets, 45

2.12 Summary, 47

References, 47

Exercises, 53

3 Means and Variances 57

3.1 One Mean, Normality, and Known Standard Deviation, 58

3.1.1 Using the Coefficient of Variation, 65

3.2 One Mean, Standard Deviation Unknown, Normality Assumed, 66

3.3 Confidence Intervals on Power and/or Sample Size, 67

3.4 One Mean, Standard Deviation Unknown, Nonnormality Assumed, 70

3.5 One Mean, Exponential Distribution, 71

3.6 Two Means, Known Standard Deviations—Independent Samples, 71

3.6.1 Unequal Sample Sizes, 74

3.7 Two Means, Unknown but Equal Standard Deviations—Independent Samples, 74

3.7.1 Unequal Sample Sizes, 76

3.8 Two Means, Unequal Variances and Sample Sizes—Independent Samples, 77

3.9 Two Means, Unknown and Unequal Standard Deviations—Independent Samples, 77

3.10 Two Means, Known and Unknown Standard Deviations—Dependent Samples, 78

3.11 Bayesian Methods for Comparing Means, 81

3.12 One Variance or Standard Deviation, 81

3.13 Two Variances, 83

3.14 More Than Two Variances, 84

3.15 Confidence Intervals, 84

3.15.1 Adaptive Confidence Intervals, 85

3.15.2 One Mean, Standard Deviation Unknown—With Tolerance Probability, 85

3.15.3 Difference Between Two Independent Means, Standard Deviations Known and Unknown—With and Without Tolerance Probability, 88

3.15.4 Difference Between Two Paired Means, 90

3.15.5 One Variance, 91

3.15.6 One-Sided Confidence Bounds, 92

3.16 Relative Precision, 93

3.17 Computing Aids, 94

3.18 Software, 94

3.19 Summary, 95

Appendix, 95

References, 96

Exercises, 99

4 Proportions and Rates 103

4.1 One Proportion, 103

4.1.1 One Proportion—With Continuity Correction, 107

4.1.2 Software Disagreement and Rectification, 108

4.1.3 Equivalence Tests and Noninferiority Tests for One Proportion, 109

4.1.4 Confidence Interval and Error of Estimation, 110

4.1.5 One Proportion—Exact Approach, 113

4.1.6 Bayesian Approaches, 115

4.2 Two Proportions, 115

4.2.1 Two Proportions—With Continuity Correction, 119

4.2.2 Two Proportions—Fisher’s Exact Test, 121

4.2.3 What Approach Is Recommended?, 122

4.2.4 Correlated Proportions, 123

4.2.5 Equivalence Tests for Two Proportions, 124

4.2.6 Noninferiority Tests for Two Proportions, 125

4.2.7 Need for Pilot Study?, 125

4.2.8 Linear Trend in Proportions, 125

4.2.9 Bayesian Method for Estimating the Difference of Two Binomial Proportions, 126

4.3 Multiple Proportions, 126

4.4 Multinomial Probabilities and Distributions, 129

4.5 One Rate, 130

4.5.1 Pilot Study Needed?, 132

4.6 Two Rates, 132

4.7 Bayesian Sample Size Determination Methods for Rates, 135

4.8 Software, 135

4.9 Summary, 136

Appendix, 136

References, 140

Exercises, 144

5 Regression Methods and Correlation 145

5.1 Linear Regression, 145

5.1.1 Simple Linear Regression, 146

5.1.2 Multiple Linear Regression, 150

5.1.2.1 Application: Predicting College Freshman Grade Point Average, 155

5.2 Logistic Regression, 155

5.2.1 Simple Logistic Regression, 156

5.2.1.1 Normally Distributed Covariate, 158

5.2.1.2 Binary Covariate, 162

5.2.2 Multiple Logistic Regression, 163

5.2.2.1 Measurement Error, 165

5.2.3 Polytomous Logistic Regression, 165

5.2.4 Ordinal Logistic Regression, 166

5.2.5 Exact Logistic Regression, 167

5.3 Cox Regression, 167

5.4 Poisson Regression, 169

5.5 Nonlinear Regression, 172

5.6 Other Types of Regression Models, 172

5.7 Correlation, 172

5.7.1 Confidence Intervals, 174

5.7.2 Intraclass Correlation, 175

5.7.3 Two Correlations, 175

5.8 Software, 176

5.9 Summary, 177

References, 177

Exercises, 180

6 Experimental Designs 183

6.1 One Factor—Two Fixed Levels, 184

6.1.1 Unequal Sample Sizes, 186

6.2 One Factor—More Than Two Fixed Levels, 187

6.2.1 Multiple Comparisons and Dunnett’s Test, 192

6.2.2 Analysis of Means (ANOM), 193

6.2.3 Unequal Sample Sizes, 195

6.2.4 Analysis of Covariance, 196

6.2.5 Randomized Complete Block Designs, 197

6.2.6 Incomplete Block Designs, 198

6.2.7 Latin Square Designs, 199

6.2.7.1 Graeco-Latin Square Designs, 202

6.3 Two Factors, 203

6.4 2k Designs, 205

6.4.1 22 Design with Equal and Unequal Variances, 206

6.4.2 Unreplicated 2k Designs, 206

6.4.3 Software for 2k Designs, 208

6.5 2k − p Designs, 209

6.6 Detecting Conditional Effects, 210

6.7 General Factorial Designs, 211

6.8 Repeated Measures Designs, 212

6.8.1 Crossover Designs, 215

6.8.1.1 Software, 217

6.9 Response Surface Designs, 218

6.10 Microarray Experiments, 219

6.10.1 Software, 220

6.11 Other Designs, 220

6.11.1 Plackett–Burman Designs, 220

6.11.2 Split-Plot and Strip-Plot Designs, 222

6.11.3 Nested Designs, 224

6.11.4 Ray designs, 225

6.12 Designs for Nonnormal Responses, 225

6.13 Designs with Random Factors, 227

6.14 Zero Patient Design, 228

6.15 Computer Experiments, 228

6.16 Noninferiority and Equivalence Designs, 229

6.17 Pharmacokinetic Experiments, 229

6.18 Bayesian Experimental Design, 229

6.19 Software, 230

6.20 Summary, 232

Appendix, 233

References, 234

Exercises, 239

7 Clinical Trials 243

7.1 Clinical Trials, 245

7.1.1 Cluster Randomized Trials, 247

7.1.2 Phase II Trials, 247

7.1.2.1 Phase II Cancer Trials, 247

7.1.3 Phase III Trials, 247

7.1.4 Longitudinal Clinical Trials, 248

7.1.5 Fixed Versus Adaptive Clinical Trials, 248

7.1.6 Noninferiority Trials, 249

7.1.7 Repeated Measurements, 249

7.1.8 Multiple Tests, 250

7.1.9 Use of Internal Pilot Studies for Clinical Trials, 250

7.1.10 Using Historical Controls, 250

7.1.11 Trials with Combination Treatments, 251

7.1.12 Group Sequential Trials, 251

7.1.13 Vaccine Efficacy Studies, 251

7.2 Bioequivalence Studies, 251

7.3 Ethical Considerations, 252

7.4 The Use of Power in Clinical Studies, 252

7.5 Preclinical Experimentation, 253

7.6 Pharmacodynamic, Pharmacokinetic, and Pharmacogenetic Experiments, 253

7.7 Method of Competing Probability, 254

7.8 Bayesian Methods, 255

7.9 Cost and Other Sample Size Determination Methods for Clinical Trials, 256

7.10 Meta-Analyses of Clinical Trials, 256

7.11 Miscellaneous, 257

7.12 Survey Results of Published Articles, 259

7.13 Software, 260

7.14 Summary, 263

References, 263

Exercises, 275

8 Quality Improvement 277

8.1 Control Charts, 277

8.1.1 Shewhart Measurement Control Charts, 278

8.1.2 Using Software to Determine Subgroup Size, 281

8.1.2.1 ¯X -Chart, 282

8.1.2.2 S-Chart and S2-Chart, 284

8.1.3 Attribute Control Charts, 286

8.1.4 CUSUM and EWMA Charts, 289

8.1.4.1 Subgroup Size Considerations for CUSUM Charts, 290

8.1.4.2 CUSUM and EWMA Variations, 291

8.1.4.3 Subgroup Size Determination for CUSUM and EWMA Charts and Their Variations, 291

8.1.4.4 EWMA Applied to Autocorrelated Data, 293

8.1.5 Adaptive Control Charts, 293

8.1.6 Regression and Cause-Selecting Control Charts, 293

8.1.7 Multivariate Control Charts, 295

8.2 Medical Applications, 296

8.3 Process Capability Indices, 297

8.4 Tolerance Intervals, 298

8.5 Measurement System Appraisal, 300

8.6 Acceptance Sampling, 300

8.7 Reliability and Life Testing, 301

8.8 Software, 301

8.9 Summary, 302

References, 302

Exercises, 305

9 Survival Analysis and Reliability 307

9.1 Survival Analysis, 307

9.1.1 Logrank Test, 308

9.1.1.1 Freedman Method, 311

9.1.1.2 Other Methods, 312

9.1.2 Wilcoxon–Breslow–Gehan Test, 313

9.1.3 Tarone–Ware Test, 313

9.1.4 Other Tests, 314

9.1.5 Cox Proportional Hazards Model, 314

9.1.6 Joint Modeling of Longitudinal and Survival Data, 315

9.1.7 Multistage Designs, 316

9.1.8 Comparison of Software and Freeware, 316

9.2 Reliability Analysis, 317

9.3 Summary, 318

References, 319

Exercise, 321

10 Nonparametric Methods 323

10.1 Wilcoxon One-Sample Test, 324

10.1.1 Wilcoxon Test for Paired Data, 327

10.2 Wilcoxon Two–Sample Test (Mann–Whitney Test), 327

10.2.1 van Elteren Test—A Stratified Mann–Whitney Test, 331

10.3 Kruskal–Wallis One-Way ANOVA, 331

10.4 Sign Test, 331

10.5 McNemar’s Test, 334

10.6 Contingency Tables, 334

10.7 Quasi-Likelihood Method, 334

10.8 Rank Correlation Coefficients, 335

10.9 Software, 335

10.10 Summary, 336

References, 336

Exercises, 339

11 Miscellaneous Topics 341

11.1 Case–Control Studies, 341

11.2 Epidemiology, 342

11.3 Longitudinal Studies, 342

11.4 Microarray Studies, 343

11.5 Receiver Operating Characteristic ROC Curves, 343

11.6 Meta-Analyses, 343

11.7 Sequential Sample Sizes, 343

11.8 Sample Surveys, 344

11.8.1 Vegetation Surveys, 344

11.9 Cluster Sampling, 345

11.10 Factor Analysis, 346

11.11 Multivariate Analysis of Variance and Other Multivariate Methods, 346

11.12 Structural Equation Modeling, 348

11.13 Multilevel Modeling, 349

11.14 Prediction Intervals, 349

11.15 Measures of Agreement, 350

11.16 Spatial Statistics, 350

11.17 Agricultural Applications, 350

11.18 Estimating the Number of Unseen Species, 351

11.19 Test Reliability, 351

11.20 Agreement Studies, 351

11.21 Genome-wide Association Studies, 351

11.22 National Security, 352

11.23 Miscellaneous, 352

11.24 Summary, 353

References, 354

Answers to Selected Exercises 363

Index 369

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)