Week 3 - Statistics Review
Content for week of Monday, September 13, 2021–Friday, September 17, 2021
Overview
Welcome to Week 3! Statistical review continues apace.
As before, what you should do this final week before the exam depends on your background:
Reading Guide
Chapter 2: Review of Probability
- SW 2.5 Random Sampling and the Distribution of the Sample Average
- SW 2.6 Large-sample approximations to sampling distributions
- Get that central limit theorem!
- Sampling distribution of a sample mean (relevant for 2.5 as well)
Chapter 3: Review of Statistics
This is the material you should know, along with supports from Khan Academy ( ). Remember that you don’t need to memorize formulas!
- SW 3.1 Estimation of the population mean
- Don’t worry too much about BLUE, we’ll come back to it. But make sure you get bias, consistency, and efficiency
- Discrete random variables
- SW 3.2 Hypothesis tests concerning the population mean
- SW 3.3 Confidence intervals for the population mean
- SW 3.4 Comparing means from different populations (This is covered in updated slides and class, but not in the lecture video below)
- Only the type of two-sample test we’ve been practicing - look at difference between two means where the standard deviation is unknown and you do not assume that they come from the same underlying population distribution. Make sure you can use formulas 3.19 and 3.20
- Skip SW 3.5/3.6
- SW 3.7 Scatterplots, the sample covariance, and the sample correlation
Videos
- Statistics Review Estimators/estimates, confidence intervals, and hypothesis testing