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:
“Where there is no exaggeration there is no love, and where there is no love there is no understanding. It is only about things that do not interest one, that one can give a really unbiased opinion; and this is no doubt the reason why an unbiased opinion is always valueless.”
—Oscar Wilde (1854–1900)
“If magistrates had true justice, and if physicians had the true art of healing, they would have no occasion for square caps; the majesty of these sciences would of itself be venerable enough. But having only imaginary knowledge, they must employ those silly tools that strike the imagination with which they have to deal; and thereby, in fact, they inspire respect.”
—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)
“Only at his maximum does an individual surpass all his derivative elements, and become purely himself. And most people never get there. In his own pure individuality a man surpasses his father and mother, and is utterly unknown to them.”
—D.H. (David Herbert)
“What likelihood is there of corrupting a man who has no ambition?”
—Samuel Richardson (1689–1761)