Reasoning with Data An Introduction to Traditional and Bayesian Statistics Using R 1st Edition by Jeffrey Stanton ISBN 9781462530281 1462530281

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ISBN 10: 1462530281
ISBN 13: 9781462530281
Author: Jeffrey Stanton
 

Reasoning with Data An Introduction to Traditional and Bayesian Statistics Using R 1st Edition Table of contents:

1. Statistical Vocabulary

Descriptive Statistics

Measures of Central Tendency

Measures of Dispersion

BOX. Mean and Standard Deviation Formulas

Distributions and Their Shapes

Conclusion

Exercises

2. Reasoning with Probability

Outcome Tables

Contingency Tables

BOX. Make Your Own Tables with R

Conclusion

Exercises

3. Probabilities in the Long Run

Sampling

Repetitious Sampling with R

Using Sampling Distributions and Quantiles to Think about Probabilities

Conclusion

Exercises

4. Introducing the Logic of Inference Using Confidence Intervals

Exploring the Variability of Sample Means with Repetitious Sampling

Our First Inferential Test: The Confidence Interval

BOX. Formulas for the Confidence Interval

Conclusion

Exercises

5. Bayesian and Traditional Hypothesis Testing

BOX. Notation, Formula, and Notes on Bayes’ Theorem

BOX. Markov-Chain Monte Carlo Overview

BOX. Detailed Output from BESTmcmc()

The Null Hypothesis Significance Test

BOX. The Calculation of t

Replication and the NHST

Conclusion

Exercises

6. Comparing Groups and Analyzing Experiments

BOX. Formulas for ANOVA

Frequentist Approach to ANOVA

BOX. More Information about Degrees of Freedom

The Bayesian Approach to ANOVA

BOX. Giving Some Thought to Priors

BOX. Interpreting Bayes Factors

Finding an Effect

Conclusion

Exercises

7. Associations between Variables

BOX. Formula for Pearson’s Correlation

Inferential Reasoning about Correlation

BOX. Reading a Correlation Matrix

Null Hypothesis Testing on the Correlation

Bayesian Tests on the Correlation Coefficient

Categorical Associations

Exploring the Chi-Square Distribution with a Simulation

The Chi-Square Test with Real Data

The Bayesian Approach to the Chi-Square Test

Conclusion

Exercises

8. Linear Multiple Regression

BOX. Making Sense of Adjusted R-Squared

The Bayesian Approach to Linear Regression

A Linear Regression Model with Real Data

Conclusion

Exercises

9. Interactions in ANOVA and Regression

Interactions in ANOVA

BOX. Degrees of Freedom for Interactions

BOX. A Word about Standard Error

Interactions in Multiple Regression

BOX. Diagnosing Residuals and Trying Alternative Models

Bayesian Analysis of Regression Interactions

Conclusion

Exercises

10. Logistic Regression

A Logistic Regression Model with Real Data

BOX. Multinomial Logistic Regression

Bayesian Estimation of Logistic Regression

Conclusion

Exercises

11. Analyzing Change over Time

Repeated-Measures Analysis

BOX. Using ezANOVA

Time-Series Analysis

Exploring a Time Series with Real Data

Finding Change Points in Time Series

Probabilities in Change-Point Analysis

BOX. Quick View of ARIMA

Conclusion

Exercises

12. Dealing with Too Many Variables

BOX. Mean Composites versus Factor Scores

Internal Consistency Reliability

Rotation

Conclusion

Exercises

13. All Together Now

The Big Picture

Appendix A. Getting Started with R

Running R and Typing Commands

Installing Packages

Quitting, Saving, and Restoring

Conclusion

Appendix B. Working with Data Sets in R

Data Frames in R

Reading into Data Frames from External Files

Appendix C. Using dplyr with Data Frames

References

Index

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