Which of the following is an unbiased estimator of the population variance:
A)SS/N
B)SS/N - 1
C)(SS - 1)/N
D)Ó( - ì)

Question

Which of the following is an unbiased estimator of the population variance:
A)SS/N 
B)SS/N - 1 
C)(SS - 1)/N 
D)Ó( - ì)

Quizplus · Accepted Answer

The formula for the unbiased estimator of population variance is (SS/N - 1). Thus, option B is the correct choice. Option A is biased because it does not divide by (N - 1), which is necessary for an unbiased estimator. Option C is also biased because it subtracts 1 from SS before dividing by N. Option D is not a valid option as there is a character error in the formula provided.

Which of the Following Is an Unbiased Estimator of the Population