You need to adjust by the degrees of freedom to ensure that is
A)an unbiased estimator of .
B)a consistent estimator of .
C)efficient in small samples.
D)F-distributed.

Question

You need to adjust  by the degrees of freedom to ensure that  is
A)an unbiased estimator of . 
B)a consistent estimator of . 
C)efficient in small samples. 
D)F-distributed.

Quizplus · Accepted Answer

In order for an estimator to be unbiased, its expected value must be equal to the true value of the parameter being estimated. Since 11eab146_bd5a_259c_896a_957fef9fd055_TB2833_11 is an estimator of 11eab146_bd59_fe8b_896a_b7dd18f35f1f_TB2833_11, we need to adjust it such that its expected value is equal to 11eab146_bd59_fe8b_896a_b7dd18f35f1f_TB2833_11 (i.e., unbiased). Thus, the answer is A. Note that the other answer choices are not relevant to ensuring unbiasedness.

You Need to Adjust by the Degrees of Freedom