Order restricted A-basis and B-basis values
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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.
Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics