Biostatistics for the Biological and Health Sciences with Statdisk

1 Introduction to Statistics 1-1 Overview

1-2 Types of Data

1-3 Design of Experiments

 

2  Describing, Exploring, and Comparing Data 2-1 Overview

2-2 Frequency Distributions

2-3 Visualizing Data

2-4 Measures of Center

2-5 Measures of Variation

2-6 Measures of Relative Standing

2-7 Exploratory Data Analysis (EDA)

 

3 Probability 3-1 Overview

3-2 Fundamentals

3-3 Addition Rule

3-4 Multiplication Rule: Basics

3-5 Multiplication Rule: Conditional Probability

3-6 Relative Risk and Odds Ratio

3-7 Rates of Mortality, Fertility, and Morbidity

3-8 Counting Methods

 

4 Discrete Probability Distributions 4-1 Overview

4-2 Random Variables

4-3 Binomial Probability Distributions

4-4 Mean, Variance, and Standard Deviation for the Binomial Distribution

4-5 The Poisson Distribution

 

5  Normal Probability Distributions 5-1 Overview

5-2 The Standard Normal Distribution

5-3 Applications of Normal Distributions

5-4 Sampling Distributions and Estimators

5-5 The Central Limit Theorem

5-6 Normal Approximation to Binomial

5-7 Assessing Normality

 

6 Estimates and Sample Sizes with One Sample 6-1 Overview

6-2 Estimating a Population Proportion

6-3 Estimating a Population Mean: s Known

6-4 Estimating a Population Mean: s Not Known

6-5 Estimating a Population Variance

 


7 Hypothesis Testing with One Sample 7-1 Overview

7-2 Basics of Hypothesis Testing

7-3 Testing a Claim about a Proportion

7-4 Testing a Claim about a Mean: s Known

7-5 Testing a Claim about a Mean: s Not Known

7-6 Testing a Claim about Variation

 

8 Inferences from Two Samples 8-1 Overview

8-2 Two Proportions

8-3 Two Means: Independent Samples

8-4 Two Means: Matched Pairs

8-5 Odds Ratios

8-6 Variation in Two Samples

 

9 Correlation and Regression 9-1 Overview

9-2 Correlation

9-3 Regression

9-4 Variation and Prediction Intervals

9-5 Multiple Regression

 

10 Multinomial Experiments and Contingency Tables 10-1 Overview

10-2 Multinomial Experiments: Goodness-0f-Fit

10-3 Contingency Tables: Independence and Homogeneity

10-4 McNemar’s Test for Matched Pairs

 

11 Analysis of Variance 11-1 Overview

11-2 One-Way ANOVA

11-3 Two-Way ANOVA

 

12 Nonparametric Statistics

12-1 Overview

12-2 Sign Test

12-3 Wilcoxon Signed-Ranks Test for Matched Pairs

12-4 Wilcoxon Rank-Sum Test for Two Independent Samples

12-5 Kruskal-Wallis Test

12-6 Rank Correlation

 

13 Life Tables

13-1 Overview

13-2 Elements of a Life Table

13-3 Applications of Life Tables

 

Appendix A:            Tables

Appendix B:            Data Sets

Appendix C:            Answers to Odd-Numbered Exercises