Regression Analysis - Power and Sample Size Calculations

Power and Sample Size Calculations

There are no generally agreed methods for relating the number of observations versus the number of independent variables in the model. One rule of thumb suggested by Good and Hardin is, where is the sample size, is the number of independent variables and is the number of observations needed to reach the desired precision if the model had only one independent variable. For example, a researcher is building a linear regression model using a dataset that contains 1000 patients . If he decides that five observations are needed to precisely define a straight line, then the maximum number of independent variables his model can support is 4, because

.

Read more about this topic:  Regression Analysis

Famous quotes containing the words power and, power, sample, size and/or calculations:

    Sometimes, because of its immediacy, television produces a kind of electronic parable. Berlin, for instance, on the day the Wall was opened. Rostropovich was playing his cello by the Wall that no longer cast a shadow, and a million East Berliners were thronging to the West to shop with an allowance given them by West German banks! At that moment the whole world saw how materialism had lost its awesome historic power and become a shopping list.
    John Berger (b. 1926)

    Let the maiden, with erect soul, walk serenely on her way, accept the hint of each new experience, search in turn all the objects that solicit her eye, that she may learn the power and charm of her new-born being, which is the kindling of a new dawn in the recesses of space.
    Ralph Waldo Emerson (1803–1882)

    All that a city will ever allow you is an angle on it—an oblique, indirect sample of what it contains, or what passes through it; a point of view.
    Peter Conrad (b. 1948)

    To believe her limited in range because she was harmonious in method is as sensible as to imagine that when the Atlantic Ocean is as smooth as a mill-pond it shrinks to the size of a mill-pond.
    Rebecca West (1892–1983)

    Now, since our condition accommodates things to itself, and transforms them according to itself, we no longer know things in their reality; for nothing comes to us that is not altered and falsified by our Senses. When the compass, the square, and the rule are untrue, all the calculations drawn from them, all the buildings erected by their measure, are of necessity also defective and out of plumb. The uncertainty of our senses renders uncertain everything that they produce.
    Michel de Montaigne (1533–1592)