The **Kolmogorov-Smirnov** test can be used to test the null hypothesis that the population distribution from which the data sample is drawn is an F distribution.

To properly analyze and interpret results of *F distribution test by the Kolmogorov-Smirnov test*, you should be familiar with the following terms and concepts:

F Distribution:

A distribution that is of fundamental importance in analysis of variance. It arises as the sampling distribution of the ratio of the values of two independent random variables having chi-square distributions, each divided by its degrees of freedom; for example, the ratio of the variances of two random samples from normal populations having the same variance. Correspondingly, the parameters v_{1} and v_{2} of the F distribution are referred to as its numerator and denominator degrees of freedom. The F distribution is also known as the variance-ratio distribution.

An F table contains values of Fα,v_{1},v_{2} for which (under an appropriate null hypothesis) has an F distribution. See F test, which is a test concerning the equality of two population variances.

If you are not familiar with these terms and concepts, you are advised to consult with a statistician. Failure to understand and properly apply *F distribution test by the Kolmogorov-Smirnov test* may result in drawing erroneous conclusions from your data. Additionally, you may want to consult the following references:

- Conover, W. J. 1980.
Practical Nonparametric Statistics.2nd ed. New York: John Wiley & Sons.- D'Agostino, R. B. and Stephens, M. A., eds. 1986.
Goodness-of-fit Techniques.New York: Dekker.- Daniel, Wayne W. 1978.
Applied Nonparametric Statistics.Boston: Houghton Mifflin.- Daniel, Wayne W. 1995.
Biostatistics.6th ed. New York: John Wiley & Sons.- Rosner, Bernard. 1995.
Fundamentals of Biostatistics.4th ed. Belmont, California: Duxbury Press.- Sokal, Robert R. and Rohlf, F. James. 1995.
Biometry.3rd. ed. New York: W. H. Freeman and Co.- Zar, Jerrold H. 1996.
Biostatistical Analysis.3rd ed. Upper Saddle River, NJ: Prentice-Hall.

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