Unbiased Least Square Estimate Vs. Biased Maximum Likelihood Estimate
Both
and
are used in different contexts. The former can give an unbiased to estimate when the two groups share an equal population variance. The latter one can give a more efficient to estimate biasedly. Note that the quantities in the right hand sides of both equations are the unbiased estimates.
Read more about this topic: Pooled Variance
Famous quotes containing the words unbiased, square, estimate, biased, maximum and/or likelihood:
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—Oscar Wilde (1854–1900)
“This house was designed and constructed with the freedom of stroke of a forester’s axe, without other compass and square than Nature uses.”
—Henry David Thoreau (1817–1862)
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—Bible: New Testament, Luke 14:28.
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—Cyril Ponnamperuma (b. 1923)
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—Germaine Greer (b. 1939)
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