Inference for Variances

Overview

This course covers confidence intervals and hypothesis tests for 1 and 2 variances, assuming sampling from normally distributed populations. Students will learn about deriving confidence intervals, understanding the sampling distribution of variances, and assessing the robustness of inference procedures. The course is designed for individuals interested in statistical inference and hypothesis testing.

Syllabus

An Introduction to Inference for One Variance (Assuming a Normally Distributed Population).
Inference for One Variance: An Example of a Confidence Interval and a Hypothesis Test.
The Sampling Distribution of the Sample Variance.
Deriving a Confidence Interval for a Variance (Assuming a Normally Distributed Population).
An Introduction to Inference for the Ratio of Two Variances.
Inference for Two Variances: An Example of a Confidence Interval and a Hypothesis Test.
Deriving a Confidence Interval for the Ratio of Two Variances.
The Sampling Distribution of the Ratio of Sample Variances.
Inference for a Variance: How Robust are These Procedures?.
Inference for the Ratio of Variances: How Robust are These Procedures?.