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Articles 121 - 123 of 123
Full-Text Articles in Statistics and Probability
Spectral Analysis Of Time-Series Associated With Control Systems, Karl Leland Smith
Spectral Analysis Of Time-Series Associated With Control Systems, Karl Leland Smith
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
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 …
Formulation Of Error Structures Under Non-Orthogonal Situations, Justus Frandsen Seely
Formulation Of Error Structures Under Non-Orthogonal Situations, Justus Frandsen Seely
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
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 …
Simulation Of Mathematical Models In Genetic Analysis, Dinesh Govindal Patel
Simulation Of Mathematical Models In Genetic Analysis, Dinesh Govindal Patel
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
In recent years a new field of statistics has become of importance in many branches of experimental science. This is the Monte Carlo Method, so called because it is based on simulation of stochastic processes. By stochastic process, it is meant some possible physical process in the real world that has some random or stochastic element in its structure. This is the subject which may appropriately be called the dynamic part of statistics or the statistics of "change," in contrast with the static statistical problems which have so far been the more systematically studied. Many obvious examples of such processes …