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Background Modules for ChE473K Process Design and Operations at the University of Texas at Austin Gerald G. McGlamery, Jr., Ph.D., P.E. |
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The Chi-Square (c2) Distribution The chi-square distribution is the continuous random variable resulting from summing the squares of n normal continuous random variables. It is a one-parameter distribution described by its degrees of freedom, n. The chi-square PDF and CDF are shown below, respectively:
In stochastic modeling, the chi-square distribution is best used to model asymmetric variables with a bound near the range of interest, but its flexibility is limited by having only one parameter. The most important use for the chi-square distribution is in the statistical analysis of variance since the variances estimated from random samples from a normal distribution are distributed as a chi-square distribution. |
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All Material © 2001–2010
Gerald G. McGlamery, Jr. |
