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:

    If Paris lived now, and preferred beauty to power and riches, it would not be called his Judgment, but his Want of Judgment.
    Horace Walpole (1717–1797)

    We who didn’t inherit political power nor are made to acquire riches like nothing better than that which expands and solidifies the power of the spirit.
    Johann Wolfgang Von Goethe (1749–1832)

    The present war having so long cut off all communication with Great-Britain, we are not able to make a fair estimate of the state of science in that country. The spirit in which she wages war is the only sample before our eyes, and that does not seem the legitimate offspring either of science or of civilization.
    Thomas Jefferson (1743–1826)

    Beauty depends on size as well as symmetry. No very small animal can be beautiful, for looking at it takes so small a portion of time that the impression of it will be confused. Nor can any very large one, for a whole view of it cannot be had at once, and so there will be no unity and completeness.
    Aristotle (384 B.C.–322 B.C.)

    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)