Date of Award
Master of Science (MS)
Mathematics and Statistics
In most disciplines where research is involved, there exists an occasional problem of having minimal facilities and/or funds for conducting experiments. This often necessitates the use of designs known as incomplete block designs.
Since the calculations needed to provide an appropriate statistical analysis are somewhat tedious, particularJ..y in the larger designs, it is advantageous to have computer programs to do the necessary calculations.
There are several computer programs at Utah State University written in Fortran II language with Forcom subroutines that perform the analyses for incomplete block designs. These programs, for the most part, were authored by Justus Seely and Dr. Rex L. Hurst, Head, Department of Applied Statistics and Computer Science at U.S.U.
Only four of these available programs are covered in this paper. These programs are converted to Fortran IV language using the binary coded decimal system (BCD). The programs involved are Balanced Lattices, Designs Arranged in Replications, Designs Arranged in Groups of Replications, and Designs Not Arranged in Replications or Groups of Replications. The three latter programs will hereinafter be referred to as Type I, Type II, and Type III, respectively.
The programs will be written in double precision instead of single precision in order to increase computational accuracy. In single precision the number of significant digits carried accurately in the IBM 360 mod 44 computer is limited to seven. Since the numbers that represent the data need to be squared and summed, the size of number that could be used would have to be rather small, preferably less than four digits. With double precision the number of digits carried accurately is fourteen. This now presents the opportunity to use larger numbers to represent the data, but it is advisable to use numbers with less than six digits if possible.
Miller, Fred, "Computer Programs for Incomplete Block Designs" (1969). All Graduate Plan B and other Reports. 1139.
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