“Statistical Foundations” is designed to provide graduate students with a practical, applied approach to the application of fundamental behavioral and educational research design and statistical principles. Students will learn how to differentiate and appropriately select the best statistical methods for use in various research designs and analytical problems.
Note: This course was historically called “Research Design and Analysis I”
Focus
This course will mostly focus on basic statistical techniques and several forms of the ANOVA model, which can be used by themselves or serve as building blocks for more advanced techniques in other courses.
Students will also learn how to:
Use the
Rstatistical programming environment (via theR StudioIDE) to analyze data andInterpret and communicate the results of analyses (including creating reproducible research reports with R Markdown).
Syllabus
Resources
REQUIRED TEXTBOOKS:
- Explaining Psychological Statistics, 4th edition, by Barry Cohen
- USU library: Free, with USU login
- Amazon: purchase, new or used
- Publication Manual of the APA: The Official Guide to APA Style, 7th edition (2020)
- Amazon: purchase new
EXAMPLES EBOOK: Encyclopedia for Quantitative Methods in R LINK
- Volume 0. Setting up Your Computer
- Volume 1. Wrangling Your Data
- Volume 2. Exploring Your Data
- Volume 3. Testing Mean Differences
- Volume 4. Correlation & Regression
YOUTUBE CHANNEL: Sarah Schwartz Stats LINK
DOWNLOADS:
Ihno’s Dataset: SPSS or Excel, data dictionary
| Chapters | Topics | Slides | Worksheets | - |
|---|---|---|---|---|
| Cohen’s Textbook, 4th edition | PPTX | |||
| APA 7th Ed. Pertaining to Quantitative Analysis | PPTX | |||
| Getting Started with R | HTML | |||
| 1 | Variables, Scales, Rounding, & Summation | HTML | HW 1 | |
| 2 | Exploration of Data with Plots | HTML | HW 2 | |
| 3 | Summarizing Data with Descriptive Statistics | HTML | HW 3 | |
| 4 | Standardized Scores & The Normal Distribution | HTML | HW 4 | |
| 5 | Intro to Hypothesis Testing: 1 Sample z-test | HTML | HW 5 | |
| 6 | Confidence Interval Estimation: The t Distribution | HTML | HW 6 | |
| 7 | Independent Samples t-Test for Means | HTML | HW 7 | |
| 8 | Statistical Power & Effect Size | HTML | HW 8 | NA |
| 9 | Linear Correlation | HTML | HW 9 | |
| 10 | Linear Regression | HTML | HW 10 | |
| 11 | Matched t-Test | HTML | HW 11 | |
| 12 | 1-way Independent Groups ANOVA | PPTX | HW 12 | |
| 13 | Multiple Comparisons | PPTX | HW 13 | |
| 14 | 2-way ANOVA | PPTX | HW 14 | |
| 15 | Repeated Measures ANOVA | PPTX | HW 15 | |
| 16 | 2-way Mixed Design ANOVA | PPTX | HW 16 | |
| 19-20 | The Binomial Distribution & Chi-Squared Tests | PPTX | HW 19-20 |