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Order restricted A-basis and B-basis values
Huelskamp, Leo
Huelskamp, Leo
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t12021_Huelskamp.pdf
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2012-05
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Thesis
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Electronic dissertations
Electronic dissertations
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Abstract
In this thesis, the concept of A-basis and B-basis as it relates to the aviation industry
is studied. The rst assumption that will be made in order to help with the formulation of
the A-basis and B-basis values is that each of the samples from the obtained data is given
by a normal distribution. With this assumption, the paper begins by deriving the formulas
needed for obtaining A-basis and B-basis values. Once these formulas have been derived,
they will be put to use in programs that are capable of running simulations. Then the thesis
will examine the results and investigate if any problem areas arise. It will be discovered that
there is a problem with the formulas derived as it pertains to the aviation industry, so the
next step will be to nd where the error originates from and nd a suitable way to x this
error. The next item that will be looked at is how to successfully run simulations where
it is desirable to impose certain restrictions on the population mean of each factor that is
being taken into consideration. The thesis will conclude by looking at what happens when
combining both the method used to x the error discovered earlier and the method used
to apply the order restriction, and again will run simulations by means of programs that
take both methods into account. The results show how order restriction can be applied to
the population means of the breaking strength of composite materials to obtain results that
follow certain theories that have been determined by engineers.
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Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics
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Wichita State University
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Copyright Leo Huelskamp, 2012. All rights reserved