When comparing two population variances, we use the ratio $\sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 }$ rather than the difference $\sigma _ { 1 } ^ { 2 } - \sigma _ { 2 } ^ { 2 }$ .

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The ratio of variances is used because it is scale-invariant and allows for a more meaningful comparison, often tested using the F-distribution.

When Comparing Two Population Variances, We Use the Ratio σ12/σ22\sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 }σ12​/σ22​

When Comparing Two Population Variances, We Use the Ratio $\sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 }$