An Introduction to Biostatistics
By Thomas Glover and Kevin Mitchell

Contents

 

Preface

1 Introduction to Data Analysis

1.1  Introduction

1.2  Populations and Samples

1.3  Variables or Data Types

1.4  Measures of Central Tendency: Mean, Median, and Mode

1.5  Measures of Dispersion and Variability: Variance, Standard Deviation, and Range

1.6  Descriptive Statistics for Frequency Tables or Grouped Data

1.7 The Effect of Coding Data

1.8 Tables and Graphs

1.9 Quartiles and Box Plots

1.10 Accuracy, Precision, and the 30-300 Rule

1.11 Problems

 

2 Introduction to Probability

2.1 Definitions

2.2 Use of Permutations and the Combinations

2.3 Introduction to Set Theory and Venn Diagrams

2.4 Axioms and Rules of Probability

2.5 The Application of Probability Rules to Mendelian Genetics Problems

2.6 Problems

 

3 Probability Distributions

3.1 Discrete Random Variables

3.2 The Binomial Distribution

3.3 The Poisson Distribution

3.4 Continuous Random Variables

3.5 The Normal Distribution

3.6 The Standard Normal Distribution

3.7 Problems

 

4 Sampling Distributions

4.1 Definitions

4.2 Distribution of the Sample Mean

4.3 Confidence Intervals for the Population Mean

4.4 Confidence Intervals for the Population Variance

4.5 Population Proportion Confidence Intervals

4.6 Problems

 

5 Introduction to Hypothesis Testing

5.1 An Overview: The Famous Cornflakes Example

5.2 Typical Steps in a Statistical Test of Hypothesis

5.3 Type I versus Type II Errors in Hypothesis Testing

5.4 Binomial Example of Hypothesis Testing

5.5 Problems

 

6 One-Sample Tests of Hypothesis

6.1 Hypotheses Involving the Mean

6.2 Hypotheses Involving the Variance

6.3 Nonparametric Statistics and Hypothesis Testing

6.4 The One-Sample Sign Test

6.5 Confidence Intervals Based on the Sign Test

6.6 The One-Sample Wilcoxon Signed-Rank Test

6.7 The Wilcoxon Signed-Rank Test: Alternative Method

6.8 Problems

 

7 Tests of Hypothesis Involving Two Samples

7.1 Comparing Two Variances

7.2 Testing the Difference between Two Means of Independent Samples

7.3 Confidence Intervals for µ1 - µ2

7.4 The Difference between Two Means with Paired Data

7.5 The Wilcoxon Rank Sum (Mann-Whitney U) Test

7.6 Confidence Intervals for MX - MY

7.7 The Sign Test and Paired Data

7.8 The Wilcoxon Signed-Rank Test for Paired Data

7.9 Problems

 

8 k-Sample Tests of Hypothesis: The Analysis of Variance

8.1 One-Way Classification, Completely Randomized Design with Fixed Effects: Model I ANOVA

8.2 Mean Separation Techniques for Model I ANOVAs

8.3 Model II ANOVA

8.4 The Kruskal-Wallis Test: A Nonparametric Analog to a Model I One-Way ANOVA

8.5 Problems

 

9 Two-Factor Analysis

9.1 Randomized Complete Block Design ANOVA

9.2 Factorial Design Two-Way ANOVA

9.3 The Friedman k-Sample Test: Matched Data

9.4 Problems

 

10 Linear Regression and Correlation

10.1 Simple Linear Regression

10.2 Simple Linear Correlation Analysis

10.3 Correlation Analysis Based on Ranks

10.4 Problems

 

11 Goodness of Fit Tests for Categorical Data

11.1 The Binomial Test

11.2 The Chi-Square Test for Goodness of Fit

11.3 The Chi-Square Test for r x k Contingency Tables

11.4 Kolmogorov-Smirnov Test

11.5 Problems

 

Appendix A Proofs of Selected Results

Appendix B Answers to Even-Numbered Problems

Appendix C Tables of Distributions and Critical Values

References      

Index

 

 

 

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