Inference for the Ratio of Variances: How Robust are These Procedures? @jbstatistics
Inference for the Ratio of Variances: How Robust are These Procedures?  @jbstatistics
Uploaded June 2014 | Updated September 2026, 3 hours ago
A discussion of the effect of violations of the normality assumption on confidence intervals for the ratio of variances. The effects of different violations of the normality assumption are investigated through simulation. The quick summary: These procedures are very sensitive to violations of the normality assumption, and often perform very poorly when the normality assumption is violated.

This video is very similar in content and results to my video that investigates the effect of violations of the normality assumption on inference procedures for a single variance.
Inference for the Ratio of Variances: How Robust are These Procedures?Standardizing Normally Distributed Random VariablesZ Tests for One Mean:  The Rejection Region ApproachConfidence Intervals for the Ratio of Population VariancesThe Poisson Distribution: Mathematically Deriving the Mean and VarianceAn Introduction to the Chi-Square DistributionHypothesis Tests for Equality of Two VariancesPooled or Unpooled Variance t Tests and Confidence Intervals? (To Pool or not to Pool?)Confidence Intervals for One Mean:  Sigma Known (Z Method)Type I Errors, Type II Errors, and the Power of the TestDeriving the Mean and Variance of the Sample MeanThe Law of Total Probability
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Inference for the Ratio of Variances: How Robust are These Procedures?

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