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, sample, size and/or calculations:
“All goes to show that the soul in man is not an organ, but animates and exercises all the organs; is not a function, like the power of memory, of calculation, of comparison, but uses these as hands and feet; is not a faculty, but a light, is not the intellect or the will, but the master of the intellect and the will; is the background of our being, in which they lie,an immensity not possessed and that cannot be possessed.”
—Ralph Waldo Emerson (18031882)
“All that a city will ever allow you is an angle on itan oblique, indirect sample of what it contains, or what passes through it; a point of view.”
—Peter Conrad (b. 1948)
“For truly I tell you, if you have faith the size of a mustard seed, you will say to this mountain, Move from here to there, and it will move; and nothing will be impossible for you.”
—Bible: New Testament, Matthew 17:20.
“He who is conversant with the supernal powers will not worship these inferior deities of the wind, waves, tide, and sunshine. But we would not disparage the importance of such calculations as we have described. They are truths in physics because they are true in ethics.”
—Henry David Thoreau (18171862)