A generating algorithm for linear trend-free and nearly linear trend-free block designs |
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| Authors: | Ralph A Bradley Robert E Odeh |
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| Institution: | Department of Statistics , University of Georgia , Athens , Georgia , 30602 , U.S.A. |
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| Abstract: | The theory and properties of trend-free (TF) and nearly trend-free (NTF) block designs are wel1 developed. Applications have been hampered because a methodology for design construction has not been available. This article begins with a short review of concepts and properties of TF and NTF block designs. The major contribution is provision of an algorithm for the construction of linear and nearly linear TF block designs. The algorithm is incorporated in a computer program in FORTRAN 77 provided in an appendix for the IBM PC or compatible microcomputer, a program adaptable also to other computers. Three sets of block designs generated by the program are given as examples. A numerical example of analysis of a linear trend-free balanced incomplete block design is provided. |
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| Keywords: | block designs linear trend-free nearly linear trend-free design generation design computer algorithm intrablock analysis |
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