Confidence Bands in Regression Analysis
Confidence bands commonly arise in regression analysis. In the case of a simple regression involving a single independent variable, results can be presented in the form of a plot showing the estimated regression line along with either point-wise or simultaneous confidence bands. Commonly used methods for constructing simultaneous confidence bands in regression are the Bonferroni and Scheffé methods; see Familywise error rate#Controlling procedures for more.
Read more about this topic: Confidence Band
Famous quotes containing the words confidence, bands and/or analysis:
“Whoever deliberately attempts to insure confidentiality with another person is usually in doubt as to whether he inspires that persons confidence in him. One who is sure that he inspires confidence attaches little importance to confidentiality.”
—Friedrich Nietzsche (18441900)
“Nearly all the bands are mustered out of service; ours therefore is a novelty. We marched a few miles yesterday on a road where troops have not before marched. It was funny to see the children. I saw our boys running after the music in many a group of clean, bright-looking, excited little fellows.”
—Rutherford Birchard Hayes (18221893)
“Analysis as an instrument of enlightenment and civilization is good, in so far as it shatters absurd convictions, acts as a solvent upon natural prejudices, and undermines authority; good, in other words, in that it sets free, refines, humanizes, makes slaves ripe for freedom. But it is bad, very bad, in so far as it stands in the way of action, cannot shape the vital forces, maims life at its roots. Analysis can be a very unappetizing affair, as much so as death.”
—Thomas Mann (18751955)