1. Trang chủ
  2. » Khoa Học Tự Nhiên

introductory biostatistics - chap t. le

553 332 0

Đang tải... (xem toàn văn)

Tài liệu hạn chế xem trước, để xem đầy đủ mời bạn chọn Tải xuống

THÔNG TIN TÀI LIỆU

Cấu trúc

  • INTRODUCTORY BIOSTATISTICS

    • INTRODUCTORY BIOSTATISTICS

      • Copyright

      • CONTENTS

      • PREFACE

    • 1 Descriptive Methods for Categorical Data

      • 1.1 PROPORTIONS

        • 1.1.1 Comparative Studies

        • 1.1.2 Screening Tests

        • 1.1.3 Displaying Proportions

      • 1.2 RATES

        • 1.2.1 Changes

        • 1.2.2 Measures of Morbidity and Mortality

        • 1.2.3 Standardization of Rates

      • 1.3 RATIOS

        • 1.3.1 Relative Risk

        • 1.3.2 Odds and Odds Ratio

        • 1.3.3 Generalized Odds for Ordered 2Dk Tables

        • 1.3.4 Mantel ¨C Haenszel Method

        • 1.3.5 Standardized Mortality Ratio

      • 1.4 NOTES ON COMPUTATIONS

      • EXERCISES

    • 2 Descriptive Methods for Continuous Data

      • 2.1 TABULAR AND GRAPHICAL METHODS

        • 2.1.1 One- Way Scatter Plots

        • 2.1.2 Frequency Distribution

        • 2.1.3 Histogram and the Frequency Polygon

        • 2.1.4 Cumulative Frequency Graph and Percentiles

        • 2.1.5 Stem- and- Leaf Diagrams

      • 2.2 NUMERICAL METHODS

        • 2.2.1 Mean

        • 2.2.2 Other Measures of Location

        • 2.2.3 Measures of Dispersion

        • 2.2.4 Box Plots

      • 2.3 SPECIAL CASE OF BINARY DATA

      • 2.4 COEFFICIENTS OF CORRELATION

        • 2.4.1 Pearson¡¯s Correlation Coe¡ë cient

        • 2.4.2 Nonparametric Correlation Coe¡ë cients

      • 2.5 NOTES ON COMPUTATIONS

      • EXERCISES

    • 3 Probability and Probability Models

      • 3.1 PROBABILITY

        • 3.1.1 Certainty of Uncertainty

        • 3.1.2 Probability

        • 3.1.3 Statistical Relationship

        • 3.1.4 Using Screening Tests

        • 3.1.5 Measuring Agreement

      • 3.2 NORMAL DISTRIBUTION

        • 3.2.1 Shape of the Normal Curve

        • 3.2.2 Areas under the Standard Normal Curve

        • 3.2.3 Normal Distribution as a Probability Model

      • 3.3 PROBABILITY MODELS FOR CONTINUOUS DATA

      • 3.4 PROBABILITY MODELS FOR DISCRETE DATA

        • 3.4.1 Binomial Distribution

        • 3.4.2 Poisson Distribution

      • 3.5 BRIEF NOTES ON THE FUNDAMENTALS

        • 3.5.1 Mean and Variance

        • 3.5.2 Pair- Matched Case ¨C Control Study

      • 3.6 NOTES ON COMPUTATIONS

      • EXERCISES

    • 4 Estimation of Parameters

      • 4.1 BASIC CONCEPTS

        • 4.1.1 Statistics as Variables

        • 4.1.2 Sampling Distributions

        • 4.1.3 Introduction to Con . dence Estimation

      • 4.2 ESTIMATION OF MEANS

        • 4.2.1 Con . dence Intervals for a Mean

        • 4.2.2 Uses of Small Samples

        • 4.2.3 Evaluation of Interventions

      • 4.3 ESTIMATION OF PROPORTIONS

      • 4.4 ESTIMATION OF ODDS RATIOS

      • 4.5 ESTIMATION OF CORRELATION COEFFICIENTS

      • 4.6 BRIEF NOTES ON THE FUNDAMENTALS

      • 4.7 NOTES ON COMPUTATIONS

      • EXERCISES

    • 5 Introduction to Statistical Tests of Signi.cance

      • 5.1 BASIC CONCEPTS

        • 5.1.1 Hypothesis Tests

        • 5.1.2 Statistical Evidence

        • 5.1.3 Errors

      • 5.2 ANALOGIES

        • 5.2.1 Trials by Jury

        • 5.2.2 Medical Screening Tests

        • 5.2.3 Common Expectations

      • 5.3 SUMMARIES AND CONCLUSIONS

        • 5.3.1 Rejection Region

        • 5.3.2 p Values

        • 5.3.3 Relationship to Con . dence Intervals

      • 5.4 BRIEF NOTES ON THE FUNDAMENTALS

        • 5.4.1 Type I and Type II Errors

        • 5.4.2 More about Errors and p Values

      • EXERCISES

    • 6 Comparison of Population Proportions

      • 6.1 ONE- SAMPLE PROBLEM WITH BINARY DATA

      • 6.2 ANALYSIS OF PAIR- MATCHED DATA

      • 6.3 COMPARISON OF TWO PROPORTIONS

      • 6.4 MANTEL ¨C HAENSZEL METHOD

      • 6.5 INFERENCES FOR GENERAL TWO- WAY TABLES

      • 6.6 FISHER¡¯S EXACT TEST

      • 6.7 ORDERED 2Dk CONTINGENCY TABLES

      • 6.8 NOTES ON COMPUTATIONS

      • EXERCISES

    • 7 Comparison of Population Means

      • 7.1 ONE- SAMPLE PROBLEM WITH CONTINUOUS DATA

      • 7.2 ANALYSIS OF PAIR- MATCHED DATA

      • 7.3 COMPARISON OF TWO MEANS

      • 7.4 NONPARAMETRIC METHODS

        • 7.4.1 Wilcoxon Rank- Sum Test

        • 7.4.2 Wilcoxon Signed- Rank Test

      • 7.5 ONE- WAY ANALYSIS OF VARIANCE

      • 7.6 BRIEF NOTES ON THE FUNDAMENTALS

      • 7.7 NOTES ON COMPUTATIONS

      • EXERCISES

    • 8 Correlation and Regression

      • 8.1 SIMPLE REGRESSION ANALYSIS

        • 8.1.1 Simple Linear Regression Model

        • 8.1.2 Scatter Diagram

        • 8.1.3 Meaning of Regression Parameters

        • 8.1.4 Estimation of Parameters

        • 8.1.5 Testing for Independence

        • 8.1.6 Analysis- of- Variance Approach

      • 8.2 MULTIPLE REGRESSION ANALYSIS

        • 8.2.1 Regression Model with Several Independent Variables

        • 8.2.2 Meaning of Regression Parameters

        • 8.2.3 E ¤ ect Modi . cations

        • 8.2.4 Polynomial Regression

        • 8.2.5 Estimation of Parameters

        • 8.2.6 Analysis- of- Variance Approach

        • 8.2.7 Testing Hypotheses in Multiple Linear Regression

      • 8.3 NOTES ON COMPUTATIONS

      • EXERCISES

    • 9 Logistic Regression

      • 9.1 SIMPLE REGRESSION ANALYSIS

        • 9.1.1 Simple Logistic Regression Model

        • 9.1.2 Measure of Association

        • 9.1.3 E ¤ ect of Measurement Scale

        • 9.1.4 Tests of Association

        • 9.1.5 Use of the Logistic Model for Di ¤ erent Designs

        • 9.1.6 Overdispersion

      • 9.2 MULTIPLE REGRESSION ANALYSIS

        • 9.2.1 Logistic Regression Model with Several Covariates

        • 9.2.2 E ¤ ect Modi . cations

        • 9.2.3 Polynomial Regression

        • 9.2.4 Testing Hypotheses in Multiple Logistic Regression

        • 9.2.5 Receiver Operating Characteristic Curve

        • 9.2.6 ROC Curve and Logistic Regression

      • 9.3 BRIEF NOTES ON THE FUNDAMENTALS

      • EXERCISE

    • 10 Methods for Count Data

      • 10.1 POISSON DISTRIBUTION

      • 10.2 TESTING GOODNESS OF FIT

      • 10.3 POISSON REGRESSION MODEL

        • 10.3.1 Simple Regression Analysis

        • 10.3.2 Multiple Regression Analysis

        • 10.3.3 Overdispersion

        • 10.3.4 Stepwise Regression

      • EXERCISE

    • 11 Analysis of Survival Data and Data from Matched Studies

      • 11.1 SURVIVAL DATA

      • 11.2 INTRODUCTORY SURVIVAL ANALYSES

        • 11.2.1 Kaplan ¨C Meier Curve

        • 11.2.2 Comparison of Survival Distributions

      • 11.3 SIMPLE REGRESSION AND CORRELATION

        • 11.3.1 Model and Approach

        • 11.3.2 Measures of Association

        • 11.3.3 Tests of Association

      • 11.4 MULTIPLE REGRESSION AND CORRELATION

        • 11.4.1 Proportional Hazards Model with Several Covariates

        • 11.4.2 Testing Hypotheses in Multiple Regression

        • 11.4.3 Time- Dependent Covariates and Applications

      • 11.5 PAIR- MATCHED CASE ¨C CONTROL STUDIES

        • 11.5.1 Model

        • 11.5.2 Analysis

      • 11.6 MULTIPLE MATCHING

        • 11.6.1 Conditional Approach

        • 11.6.2 Estimation of the Odds Ratio

        • 11.6.3 Testing for Exposure E ¤ ect

      • 11.7 CONDITIONAL LOGISTIC REGRESSION

        • 11.7.1 Simple Regression Analysis

        • 11.7.2 Multiple Regression Analysis

      • EXERCISES

    • 12 Study Designs

      • 12.1 TYPES OF STUDY DESIGNS

      • 12.2 CLASSIFICATION OF CLINICAL TRIALS

      • 12.3 DESIGNING PHASE I CANCER TRIALS

      • 12.4 SAMPLE SIZE DETERMINATION FOR PHASE II TRIALS AND SURVEYS

      • 12.5 SAMPLE SIZES FOR OTHER PHASE II TRIALS

        • 12.5.1 Continuous Endpoints

        • 12.5.2 Correlation Endpoints

      • 12.6 ABOUT SIMON¡¯S TWO- STAGE PHASE II DESIGN

      • 12.7 PHASE II DESIGNS FOR SELECTION

        • 12.7.1 Continuous Endpoints

        • 12.7.2 Binary Endpoints

      • 12.8 TOXICITY MONITORING IN PHASE II TRIALS

      • 12.9 SAMPLE SIZE DETERMINATION FOR PHASE III TRIALS

        • 12.9.1 Comparison of Two Means

        • 12.9.2 Comparison of Two Proportions

        • 12.9.3 Survival Time as the Endpoint

      • 12.10 SAMPLE SIZE DETERMINATION FOR CASE ¨C CONTROL STUDIES

        • 12.10.1 Unmatched Designs for a Binary Exposure

        • 12.10.2 Matched Designs for a Binary Exposure

        • 12.10.3 Unmatched Designs for a Continuous Exposure

      • EXERCISES

    • BIBLIOGRAPHY

    • APPENDICES

      • APPENDIX A: TABLE OF RANDOM NUMBERS

      • APPENDIX B: AREA UNDER THE STANDARD NORMAL CURVE

      • APPENDIX C: PERCENTILES OF THE t DISTRIBUTION

      • APPENDIX D: PERCENTILES OF CHI- SQUARE DISTRIBUTIONS

      • APPENDIX E: PERCENTILES OF THE F DISTRIBUTION

    • Answers to Selected Exercises

    • INDEX

Nội dung

[...]... deaths follow-up ¼ death rate total person-years Rates may be calculated for total deaths and for separate causes of interest, and they are usually multiplied by an appropriate power of 10, say 1000, to result in a single- or double-digit figure: for example, deaths per 1000 months of follow-up Follow-up death rates may be used to measure the e¤ectiveness of medical treatment programs Example 1.12 In... seven chapters to make sure that those who take a full-year sequence of two courses learn enough of the nuts and bolts of the subject Our basic strategy is that most students would need only one course, which would end at about the middle of Chapter 8, after covxiii xiv PREFACE ering simple linear regression; instructors may add a few sections of Chapter 12 For students who take only one course, other chapters... percent of the material in the first eight chapters are overlapped with chapters from Health and Numbers: A Problems-Based Introduction to Biostatistics (another book by Wiley), but new topics have been added and others rewritten at a somewhat higher level In general, compared to Health and Numbers, this book is aimed at a di¤erent audience—those who need a whole year of statistics and who are more mathematically... a single glance Therefore, graphs are often easier to read than tables; the most informative graphs are simple and self-explanatory Of course, to achieve that objective, graphs should be constructed carefully Like tables, they should be clearly labeled and units of measurement and/or magnitude of quantities should be included Remember that graphs must tell their own story; they should be complete in... data, so many real data sets in various fields are provided in the form of examples and exercises as aids to learning how to use statistical procedures, still the nuts and bolts of elementary applied statistics The first five chapters start slowly in a user-friendly style to nurture interest and motivate learning Sections called ‘‘Brief Notes on the Fundamentals’’ are added here and there to gradually... together they form a field called biostatistics The coverage is rather brief on data collection but very extensive on descriptive statistics (Chapters 1 and 2), especially on methods of statistical inference (Chapters 4 through 12) Chapter 3, on probability and probability models, serves as the link between the descriptive and inferential parts Notes on computations and samples of SAS computer programs... about the appropriateness of the control sample; these problems sometimes hinder retrospective studies and make them less preferred than pro- PROPORTIONS 3 TABLE 1.1 Smoking Shipbuilding Yes Controls Yes No Yes No No Cases 11 50 84 313 35 203 45 270 spective studies The following is an example of a retrospective study in the field of occupational health Example 1.2 A case–control study was undertaken... consist of these elements: (1) a good research question (with well-defined objectives and endpoints), (2) a thorough investigation (by experiments or surveys), (3) an e‰cient presentation of data (organizing data, summarizing, and presenting data: an area called descriptive statistics), and (4) proper statistical inference This book is a problem-based introduction to the last three elements; together... Multiple Regression, 397 11.4.3 Time-Dependent Covariates and Applications, 401 11.5 Pair-Matched Case–Control Studies, 405 11.5.1 Model, 406 11.5.2 Analysis, 407 11.6 Multiple Matching, 409 11.6.1 Conditional Approach, 409 11.6.2 Estimation of the Odds Ratio, 410 11.6.3 Testing for Exposure E¤ect, 411 11.7 Conditional Logistic Regression, 413 11.7.1 Simple Regression Analysis, 414 11.7.2 Multiple Regression... settings, but all lead to the same conclusion: that students need help, in the form of a user-friendly and real data-based text, in order to provide enough motivation to learn a subject that is perceived to be di‰cult and dry This introductory text is written for professionals and beginning graduate students in human health disciplines who need help to pass and benefit from the basic biostatistics requirement . h1" alt="" INTRODUCTORY BIOSTATISTICS INTRODUCTORY BIOSTATISTICS CHAP T. LE Distinguished Professor of Biostatistics and Director of Biostatistics Comprehensive Cancer Center University of. objective is to avoid the perception that statistics is jus t a series of formulas that students need to ‘‘get over with,’’ but to present it as a way of thinking—thinking about ways to gather. statistical inference. This book is a problem-based introduction to the last three elements; together they form a field called biostatistics. The coverage is rather brief on data collection but very extensive

Ngày đăng: 08/04/2014, 13:10

TỪ KHÓA LIÊN QUAN

w