Date of Award:
5-1965
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Applied Statistics
Committee Chair(s)
Neeti R. Bohidar
Committee
Neeti R. Bohidar
Abstract
To gain an appreciation or understanding for the title of this study we must first understand what the phrases "non-orthogonal" and "error structure" mean. With an understanding of these terms the title of this study will become clear.
To obtain an understanding of the term non-orthogonal, consider an experiment where differing treatments are applied to groups of experimental units in order to observe the differential treatment responses. If an equal number of experimental units are in each group, then we say we have an orthogonal situation. This means that when equal numbers exist among the experimental units, that the variability associated with the individual sources of variation can be orthogonally partitioned, such that the sources of variability add to the total source of variation. However, if unequal numbers exist among the experimental units, then we say we have a non-orthogonal situation. This implies that we can no longer obtain a completely orthogonal partition, and that the sources of variability associated with the individual sources of variation do not add to the total source of variation.
Checksum
c6fce9b1032605e4a4337c692fd7ff59
Recommended Citation
Seely, Justus Frandsen, "Formulation of Error Structures Under Non-Orthogonal Situations" (1965). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6812.
https://digitalcommons.usu.edu/etd/6812
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