# 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

TEXTBOOK: Explaining Psychological Statistics, 4th edition, by Barry Cohen

EXAMPLES: Encyclopedia for Quantitative Methods in R

Chapters Topics Slides Worksheets R Skeleton
Cohen’s Textbook, 4th edition PPTX
APA Format Pertaining to Quantitative Analysis PPTX
Intro to R HTML
1 Variables, Scales, Rounding, & Summation HTML HW 1 RMD
2 Exploration of Data with Plots HTML HW 2 RMD
3 Summarizing Data with Descriptive Statistics HTML HW 3 RMD
4 Standardized Scores & The Normal Distribution HTML HW 4 RMD
5 Intro to Hypothesis Testing: 1 Sample z-test HTML HW 5 RMD
6 Confidence Interval Estimation: The t Distribution HTML HW 6 RMD
7 Independent Samples t-Test for Means PPTX HW 7 RMD
8 Statistical Power & Effect Size PPTX HW 8 NA
9 Linear Correlation HTML HW 9 RMD
10 Linear Regression HTML HW 10 RMD
11 Matched t-Test HTML HW 11 RMD
12 1-way Independent Groups ANOVA PPTX HW 12 RMD
13 Multiple Comparisons PPTX HW 13 RMD
14 2-way ANOVA PPTX HW 14 RMD
15 Repeated Measures ANOVA PPTX HW 15 RMD
16 2-way Mixed Design ANOVA PPTX HW 16 RMD
19-20 The Binomial Distribution & Chi-Squared Tests PPTX HW 19-20 RMD