# Statistical Foundations

“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:

1. Use the R statistical programming environment (via the R Studio IDE) to analyze data and

2. Interpret and communicate the results of analyses (including creating reproducible research reports with R Markdown).

## Resources

REQUIRED TEXTBOOKS:

1. Explaining Psychological Statistics, 4th edition, by Barry Cohen
1. Publication Manual of the APA: The Official Guide to APA Style, 7th edition (2020)

EXAMPLES EBOOK: Encyclopedia for Quantitative Methods in R LINK

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