Statistics ‘21 course program

Seminar 1.

Introduction. A brief review of the main ideas of the previous course on probability theory. Random variables.

Random variables and distributions.

Joint distributions 1.

Joint distributions 2

Inferential statistics. Introduction, motivation, main problem types. Sampling distributions. Point estimators, their efficiency. Mean squared error.

Confidence intervals. Introduction. CLT. CI for proportions.

Confidence intervals. Chi-squared distribution. Student’s t-distribution.

Hypothesis testing: introduction, motivation, definitions and problem statements. Materials are below for the Seminar 10.

Hypothesis testing: two sample, known and unknown population variances.

We covered all problems in demo variant up to Hypothesis Testing in the free response section.