Inference for Variances

This course develops confidence intervals and hypothesis tests for one variance and the ratio of two variances, assuming normally distributed populations. It also examines the sampling distributions involved and how robust the procedures are when normality is violated.

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?.