Regression Estimation - 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 Estimation

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

    The struggle of man against power is the struggle of memory against forgetting.
    Milan Kundera (b. 1929)

    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)

    Great causes are never tried on their merits; but the cause is reduced to particulars to suit the size of the partizans, and the contention is ever hottest on minor matters.
    Ralph Waldo Emerson (1803–1882)

    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)