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 an unbiased estimator of the population variance is SS/(N-1). Option A uses N instead of N-1, making it biased. Option C subtracts 1 from the SS term which does not make sense and also results in a biased estimator. Option D is an incomplete and unclear option.

Which of the Following Is an Unbiased Estimator of the Population