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Full-Text Articles in Physical Sciences and Mathematics
Statistical Graphics: Applications To The R And Gr Methods In Linear Models, Mei Huang Wang
Statistical Graphics: Applications To The R And Gr Methods In Linear Models, Mei Huang Wang
Dissertations
Statistical graphics combine statistics and graphics together to visually display analytical statistical results. They present information in a way that is very easy to understand and, furthermore, they frequently reveal information that is hidden from numerical summaries. Our purpose of this study is to explore the field of statistical graphics by investigating their application to statistical methods in the context of the R and GR methods in linear models. We consider the problems of score selection, R-diagnostics, and comparison of the R- and GR-fits.
We have developed a user friendly program which uses dynamic graphics and a user interface to …
Random Cayley Maps, Michelle Schultz
Random Cayley Maps, Michelle Schultz
Dissertations
Determining the orientable surfaces on which a given graph can be imbedded is the central problem of topological graph theory. The natural setting for studying this problem is random topological graph theory, where a probability model is defined on the space of all labeled 2-cell imbeddings of a connected graph. The major focus of this dissertation is the study of Cayley maps in the setting of random topological graph theory.
A Cayley graph provides a representation of a finite group and a fixed generating set for the group. A Cayley map is an imbedding of a Cayley graph whose vertex …