Date of Award

Summer 1957

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Pettit, Harvey

Second Advisor

Talacko, Joseph V.

Third Advisor

Golomski, William A.


The application of the theory of runs to the testing of statistical data is a fairly new method of treating such material. In 1940 A. Mood gave a thorough discussion of the distributions of runs. Since that time run theory has been used in testing for randomness and testing whether two samples are from the same population. This latter test was derived by A. Wald and J. Wolfowitz, the underlying theory being presented after A. Mood's work. The method used by these and others who have worked on the problem is combinatorial algebra. In 1956 O. Ludwig presented a paper on the topic, using stochastic processes. It is the purpose of this thesis to present some of the more important theory found in the papers of these men.