I am neither a statistician nor an R programmer, so all advice and code in this book comes without guarantee.

I am happy to accept corrections or suggestions. Send correspondence to mangiafico@njaes.rutgers.edu.

Salvatore S. Mangiafico

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Contents

- Introduction
- Purpose of this Book
- Author of this Book
- Using R
- Statistics Textbooks and Other Resources

- Statistics for Educational Program Evaluation
- Why Statistics?
- Evaluation Tools and Surveys

- Variables, Descriptive Statistics, and Plots
- Types of Variables
- Descriptive Statistics
- Confidence Intervals
- Basic Plots

- Understanding Statistics and Hypothesis Testing
- Hypothesis Testing and p-values
- Reporting Results of Data and Analyses
- Choosing a Statistical Test
- Independent and Paired Values

- Likert Data
- Introduction to Likert Data
- Descriptive Statistics for Likert Item Data
- Descriptive Statistics with the likert Package
- Confidence Intervals for Medians
- Converting Numeric Data to Categories

- Traditional Nonparametric Tests
- Introduction to Traditional Nonparametric Tests
- One-sample Wilcoxon Signed-rank Test
- Sign Test for One-sample Data
- Two-sample Mann–Whitney U Test
- Mood’s Median Test for Two-sample Data
- Two-sample Paired Signed-rank Test
- Sign Test for Two-sample Paired Data
- Kruskal–Wallis Test
- Mood’s Median Test
- Friedman Test
- Quade Test
- Scheirer–Ray–Hare Test
- Aligned Ranks Transformation ANOVA
- Nonparametric Regression and Local Regression
- Nonparametric Regression for Time Series

- Permutation Tests
- Introduction to Permutation Tests
- One-way Permutation Test for Ordinal Data
- One-way Permutation Test for Paired Ordinal Data
- Permutation Tests for Medians and Percentiles

- Tests for Ordinal Data in Tables
- Association Tests for Ordinal Tables
- Measures of Association for Ordinal Tables

- Concepts for Linear Models
- Introduction to Linear Models
- Using Random Effects in Models
- What are Estimated Marginal Means?
- Estimated Marginal Means for Multiple Comparisons
- Factorial ANOVA: Main Effects, Interaction Effects, and Interaction Plots
- p-values and R-square Values for Models
- Accuracy and Errors for Models

- Ordinal Tests with Cumulative Link Models
- Introduction to Cumulative Link Models (CLM) for Ordinal Data
- Two-sample Ordinal Test with CLM
- Two-sample Paired Ordinal Test with CLMM
- One-way Ordinal Regression with CLM
- One-way Repeated Ordinal Regression with CLMM
- Two-way Ordinal Regression with CLM
- Two-way Repeated Ordinal Regression with CLMM

- Tests for Nominal Data
- Introduction to Tests for Nominal Variables
- Confidence Intervals for Proportions
- Goodness-of-Fit Tests for Nominal Variables
- Association Tests for Nominal Variables
- Measures of Association for Nominal Variables
- Tests for Paired Nominal Data
- Cochran–Mantel–Haenszel Test for 3-Dimensional Tables
- Cochran’s Q Test for Paired Nominal Data
- Models for Nominal Data

- Parametric Tests
- Introduction to Parametric Tests
- One-sample t-test
- Two-sample t-test
- Paired t-test
- One-way ANOVA
- One-way ANOVA with Blocks
- One-way ANOVA with Random Blocks
- Two-way ANOVA
- Repeated Measures ANOVA
- Correlation and Linear Regression
- Advanced Parametric Methods
- Transforming Data
- Normal Scores Transformation

- Analysis of Count Data and Percentage Data
- Regression for Count Data
- Beta Regression for Percent and Proportion Data

I am neither a statistician nor an R programmer, so all advice and code in this book comes without guarantee.

I am happy to accept corrections or suggestions. Send correspondence to mangiafico@njaes.rutgers.edu.

©2016 by Salvatore S. Mangiafico.

Rutgers
Cooperative Extension, New Brunswick, NJ.

Non-commercial reproduction of this content, with
attribution, is permitted.

For-profit reproduction without permission
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If you use the code or information in this site in
a published work, please cite it as a source. Also, if you are an instructor and use this book in your course, please let me know.
My contact information is on the *
About the Author of
this Book* page.

__Citation__

Mangiafico, S.S. 2016. Summary and Analysis of Extension
Program Evaluation in R, version 1.20.05, revised 2023.
rcompanion.org/handbook/.
(Pdf version:
rcompanion.org/documents/RHandbookProgramEvaluation.pdf.)