Statistics

Fundamentals of Social Statistics

Adam J. McKee


This is my OER guide to very basic concepts of basic social statistics.  Note that this is not designed to be a comprehensive text for graduate students.  My bent is decidedly conceptual, and my goals tend toward intelligent consumerism that computational proficiency.  Rather than doing computations “by hand,” I focus on doing things in Excel or similar spreadsheet programs (e.g., Google Sheets).


This work is licensed under an Open Educational Resource-Quality Master Source (OER-QMS) License.

Open Education Resource--Quality Master Source License


Table of Contents

Preface


Section 1:  Basic Concepts

Section 1.1:  Statistics and the Social Sciences


Section 1.2:  Basic Math Review


Section 1.3:  Using Spreadsheets


Section 1.4: Variables


Section 1.5:  Scales of Measurement


Chapter 2:  Collecting and Organizing Data

Section 2.1: Probability and Samples


Section 2.2:  Nonprobability Sampling


Section 2.3: Describing Data


Section 2.4:  Percentages & Rates


Section 2.5:  Frequency Distributions


Chapter 3:  Describing Variables

Section 3.1:  Measures of Central Tendency


Section 3.2:  Measures of Variability


Section 3.3:  Standard Deviation


Section 3.4:  The Normal Curve


Section 3.5:  Percentiles and Standard Scores


Chapter 4:  Exploring Relationships

Section 4.1:  Introduction to Effect Size


Section 4.2:  Correlation


Section 4.3: Multiple Correlations


Section 4.4:  Linear Regression


Section 4.5: Advanced Regression Models


Chapter 5:  Hypothesis Testing

Section 5.1:  The Logic of Hypothesis Testing


Section 5.2:  Decision Errors


Section 5.3: Power


Section 5.4: Assumptions


Section 5.5: One-tailed vs. Two-tailed Tests


Chapter 6: Testing Null Hypotheses

Section 6.1: Error and Confidence Intervals


Section 6.2: t-Tests


Section 6.3: Non-parametric Tests


Section 6.4:  Significance and Correlations


Section 6.5:  ANOVA Tests


Chapter 7: Complex Models

Section 7.1: Multiple Regression


Section 7.2: Factor Analysis


Section 7.3:  Logistic Regression


Section 7.4: ANCOVA


Section 7.5: Structural Equation Models (SEMs)


Appendix A:  Significance of Pearson’s r


Appendix B: Critical Values of ChChi-Square


Appendix C:  Critical Values for Student’s t 


Appendix D:  Critical Values of F (.05 Level)


Appendix E: Studentized Range Statistic (q)


Appendix F: Standard Normal Distribution Table


References


Short link to the print and Kindle versions on Amazonhttps://amzn.to/2KmOoHl

Last Modified:  02/14/2019