Uniformly Most Powerful Test
In statistical hypothesis testing, a uniformly most powerful (UMP) test is a hypothesis test which has the greatest power 1 − β among all possible tests of a given size α. For example, according to the Neyman–Pearson lemma, the likelihood-ratio test is UMP for testing simple (point) hypotheses.
Read more about Uniformly Most Powerful Test: Setting, Formal Definition, The Karlin-Rubin Theorem, Important Case: The Exponential Family, Example, Further Discussion
Famous quotes containing the words powerful and/or test:
“... the modern drama, operating through the double channel of dramatist and interpreter, affecting as it does both mind and heart, is the strongest force in developing social discontent, swelling the powerful tide of unrest that sweeps onward and over the dam of ignorance, prejudice, and superstition.”
—Emma Goldman (1869–1940)
“In my utter impotence to test the authenticity of the report of my senses, to know whether the impressions they make on me correspond with outlying objects, what difference does it make, whether Orion is up there in heaven, or some god paints the image in the firmament of the soul?”
—Ralph Waldo Emerson (1803–1882)