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
The progress of science is based to a large degree on experimentation. The scientist, engineer, or researcher is usually interested in the results of a single experiment only to the extent that he hopes to generalize the results to a class of similar experiments associated with an underlying phenomenon. The process by which this is done is called inductive inference and is always subject to uncertainty. The science of statistical inference can be used to make inductive inferences for which the degree of uncertainty can be measure in terms of probability. A second type of inference called deductive inference is conclusive. If the premises are true, deductive inference leads to true conclusions. Proving the theorems of mathematics is an example of deductive inference; while in the empirical sciences, inductive inference is used to find new knowledge.
Checksum
54c6a3e0ede765bd72408e2f4414f74d
Recommended Citation
Smith, Karl Leland, "Spectral Analysis of Time-Series Associated with Control Systems" (1965). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6827.
https://digitalcommons.usu.edu/etd/6827
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