When variances $S _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }$ of two independent samples are combined and $S ^ { 2 }$ is computed, the $S ^ { 2 }$ is referred to as
A) the pooled estimator of $S ^ { 2 }$
B) the combined estimator of $S ^ { 2 }$
C) the pooled estimator of the common variance $\sigma ^ { 2 }$
Of the two populations
D) the adjusted estimator of $S ^ { 2 }$
E) None of the above answers are correct.

Question

Quizplus · Accepted Answer

The pooled variance $S^2$ is an estimate of the common variance $\sigma^2$ of two populations when combining variances from two independent samples, hence it is referred to as the pooled estimator of the common variance $\sigma^2$ of the two populations.

When Variances S12 and S22S _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }S12​ and S22​

When Variances $S _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }$