Biased and Unbiased Point Estimates
AP Statistics · Flashcards · Application
AP STATISTICS · FLASHCARDS
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QUESTION
Determine if sample range is an unbiased estimator for range.
QUESTION
Find the bias in the estimate: sample variance
s
2
=
SS
n
s^2 = \frac{\text{SS}}{n}
s
2
=
n
SS
.
QUESTION
Find and correct the bias in estimating
θ
\theta
θ
with
θ
+
1
\theta + 1
θ
+
1
.
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ANSWER
Correct by using estimator
θ
\theta
θ
. Subtract 1 to remove systematic overestimation.
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