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Biostatistics with R
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Wayne W. Daniel's Biostatistics (ISBN: 9780471456544) is a standard textbook for a lot of Biostatistics courses around the world. Similar to other books on similar topics, the examples of statistical computing given in Daniel's book haven't cover R. (Even it gives the examples in MINITAB, SAS and SPSS) As biostatistics is the trade and the statistical packages are only tools, one should believe all examples in Daniel's book can be rewritten in R. R, as a free and open source interpreter of S language, deserved some spots in Daniel's book and in the field of Biostatistics as a whole.
This wikibook is a companion to the Tenth Edition of Daniel's book. The data sets are available for download from the Wiley Web Site. The instruction for importing these data sets into R will be introduced in chapter 2.
From Chapter 3 to Chapter 17, this companion book content exactly follows Wayne W. Daniel's book. Each chapter starts with summary for formular in Wayne W. Daniel's Biostatistics (ISBN: 9780471456544) and their expression in R programming. The sections per the chapter also follows Daniel's book content and includes Examples and Exercise in Daniel's book and direction in R programming. The sections which do not have examples and exercise will not be discussed here.
Volunteer Editor
This is a wiki project - an open source, free access reference book. Anyone would be welcome and encouraged to contribute anytime, anything (as long as it relates to Biostatistics with R).
Hanjin Deviasse Toronto,ON,Canada
Table of Content
Authors
/A Brief Introduction To R/
The First Step in R
Data types and basic functions in R
R programming for writing functions
Basic graphics in R
Data Import in R
/Introduction to Biostatistics/
Descriptive Statistics:Summary of formulas with R
/The Ordered Array/
/Grouped data:The frequency distribution/
/Descriptive Statistics:Measures of Central Tendency/
/Descriptive Statistics:Measures of Dispersion/
Review Questions and Exercises
Some Basic Probability Concepts:Summary of formulas with R
/Calculating the probability of an event/
/Bayes’ Theorem, Screening Tests Sensitivity, Specificity, and Predictive Value Positive and Negative/
Review Questions and Exercises
Probability Distributions:Summary of formulas with R
Probability Distributions of Discrete Variables
The Binomial Distribution
The Poisson Distribution
Continuous Probability Distributions
The Normal Distributions
Normal Distribution Applications
Review Questions and Exercises
Some Important Sampling Distributions:Summary of formulas with R
Distribution of the Sample Mean
Distribution of the Difference Between Two Sample Means
Distribution of the Sample Proportion
Distribution of the Difference Between Two Sample Proportions
Review Questions and Exercises
Estimation:Summary of formulas with R
Confidence Interval for a Population Mean
The t Distribution
Confidence Interval for the Difference Between Two Population Means
Confidence Interval for a Population Proportion
Confidence Interval for the Difference Between Two Population Proportions
Determination of Sample Size for Estimating Means
Determination of Sample Size for Estimating Proportions
Confidence Interval for the Variance of a Normally Distributed Population
Confidence Interval for the Ratio of the Variances of Two Normally Distributed Populations
Review Questions and Exercises
Hypothesis Testing:Summary of formulas with R
Hypothesis Testing: A Single Population Mean
Hypothesis Testing: The Difference Between Two Population Means
Paired Comparisons
Hypothesis Testing: A Single Population Proportion
Hypothesis Testing: The Difference Between Two Population Proportions
Hypothesis Testing: A Single Population Variance
Hypothesis Testing: The Ratio of Two Population Variances
The Type II Error and the Power of a Test
Determining Sample Size to Control Type II Errors
Review Questions and Exercises
Analysis of Variance:Summary of formulas with R
The Completely Randomized Design
The Randomized Complete Block Design
The Repeated Measures Design
The Factorial Experiment
Review Questions and Exercises
Simple Linear Regression and Correlation:Summary for formula with R
The Regression Model
The Sample Regression Equation
Evaluating the Regression Equation
Using the Regression Equation
The Correlation Model
The Correlation Coefficient
Some Precautions
Review Questions and Exercises
Multiple Regression and Correlation:Summary of formulas with R
The Multiple Linear Regression Model
Obtaining the Multiple Regression Equation
Evaluating the Multiple Regression Equation
Using the Multiple Regression Equation
The Multiple Correlation Model
Review Questions and Exercises
Regression Analysis: Some Additional Techniques:Summary of formulas with R
Qualitative Independent Variables
Variable Selection Procedures
Logistic Regression
Review Questions and Exercises
The Chi-Square Distribution and the Analysis of Frequencies:Summary of formulas with R
The Mathematical Properties of the Chi-Square Distribution
Tests of Goodness-of-Fit
Tests of Independence
Tests of Homogeneity
The Fisher Exact Test
Relative Risk, Odds Ratio, and the Mantel–Haenszel Statistic
Review Questions and Exercises
Nonparametric and Distribution-Free Statistics:Summary of formulas with R
Measurement Scales
The Sign Test
The Wilcoxon Signed-Rank Test for Location
The Median Test
The Mann–Whitney Test
The Kolmogorov–Smirnov Goodness-of-Fit Test
The Kruskal–Wallis One-Way Analysis of Variance by Ranks
The Friedman Two-Way Analysis of Variance by Ranks
The Spearman Rank Correlation Coefficient
Nonparametric Regression Analysis
Review Questions and Exercises
Survival Analysis:Summary of formulas with R
Time-to-Event Data and Censoring
The Kaplan–Meier Procedure
Comparing Survival Curves
Cox Regression: The Proportional Hazards Model
Review Questions and Exercises
Vital Statistics:Summary of formulas with R
Death Rates and Ratios
Measures of Fertility
Measures of Morbidity
Review Questions and Exercises
/Further reading/
R programming language Statistics Biology
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