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)
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—Blaise Pascal (1623–1662)
“Perhaps his might be one of the natures where a wise estimate of consequences is fused in the fires of that passionate belief which determines the consequences it believes in.”
—George Eliot [Mary Ann (or Marian)
“Scientists are human—they’re as biased as any other group. But they do have one great advantage in that science is a self-correcting process.”
—Cyril Ponnamperuma (b. 1923)
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—D.H. (David Herbert)
“What likelihood is there of corrupting a man who has no ambition?”
—Samuel Richardson (1689–1761)