Parameter Estimates As Terms Are Added
In most cases of least squares fitting, the model coefficients for previously added terms change depending on what was successively added. For example, the X1 coefficient might change depending on whether or not an X2 term was included in the model. This is not the case when the design is orthogonal, as is a 23 full factorial design. For orthogonal designs, the estimates for the previously included terms do not change as additional terms are added. This means the ranked list of effect estimates simultaneously serves as the least squares coefficient estimates for progressively more complicated models.
Read more about this topic: Yates Analysis
Famous quotes containing the words estimates, terms and/or added:
“And, by the way, who estimates the value of the crop which nature yields in the still wilder fields unimproved by man? The crop of English hay is carefully weighed, the moisture calculated, the silicates and the potash; but in all dells and pond-holes in the woods and pastures and swamps grows a rich and various crop only unreaped by man.”
—Henry David Thoreau (1817–1862)
“Books have their destinies like men. And their fates, as made by generations of readers, are very different from the destinies foreseen for them by their authors. Gulliver’s Travels, with a minimum of expurgation, has become a children’s book; a new illustrated edition is produced every Christmas. That’s what comes of saying profound things about humanity in terms of a fairy story.”
—Aldous Huxley (1894–1963)
“After that came commencement day—that great day for which all other days were made. And it went. And that night I felt of myself all over, and to my astonishment, I found ‘twas the same old Rud. Not a single cubit added to my stature; not a hair’s breadth to my girth. If anything, on the contrary, I felt more lank and gaunt than common, much as if a load were off my stomach.”
—Rutherford Birchard Hayes (1822–1893)