Week 7: \*\ Inferential statistics I Hypothesis testing
Key concepts
- Standard errors (Meier et al., 2015)
- Sampling distribution (Gordon, 2012)
- Law of large numbers
- Bootstrapping and Central Limit Theorem (Introduction to Bootstrapping in Statistics with an Example, 2018; Gordon, 2012)
- Confidence Intervals and p-values (Introduction to Bootstrapping in Statistics with an Example, 2018; Gordon, 2012)
- Student’s t-distributions (Meier et al., 2015)
- Null and alternative hypoteses (Meier et al., 2015; Gordon, 2012)
- One and two-tailed tests (Meier et al., 2015; Gordon, 2012)
- Type I and type II error (Meier et al., 2015)
- Sample size (Meier et al., 2015)
Before class
Required readings
- Meier, K. J., Brudney, J. L., & Bohte, J. (2015). Applied Statistics for Public and Nonprofit Administration (Ninth edition). Cengage Learning., Chapters 10 & 11
- Introduction to Bootstrapping in Statistics with an Example. (2018). Statistics By Jim. http://statisticsbyjim.com/hypothesis-testing/bootstrapping/
- Klein, G., & Dabney, A. (2013). The Cartoon Introduction to Statistics (First edition). Hill and Wang, a Division of Farrar, Straus and Giroux., Chapters 8, 9 & 10
Recommended readings
- , Chapter 6. Section 6.2-6.4
- Moore, D. S., McCabe, G. P., & Craig, B. A. (2014). Introduction to the Practice of Statistics (Eighth edition/Student edition). W.H. Freeman and Company, a Macmillan Higher Education Company., Chapter 6.3 & 6.4
- Wonnacott, T. H., & Wonnacott, R. J. (1990). Introductory Statistics (5th ed). Wiley., Chapters 8, 9.1-9.4 & 9.6
- The New York Times (Ed.). Bunnies, Dragons and the ’Normal’ World: Central Limit Theorem | The New York Times. Retrieved August 25, 2021, from https://www.youtube.com/watch?app=desktop&v=jvoxEYmQHNM
Bunnies, Dragons and the ‘Normal’ World: Central Limit Theorem
P-hacking and replication
In class
- Take the pre-lecture survey here.
- Lecture on key concepts
- Catch up on assignments and hands-on practice:
- Replication project pitch
- Qualitative Test catch-up and clarification
- Quantitative Test hands-on