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Full-Text Articles in Physical Sciences and Mathematics
Modeling The Progression Of Discrete Paired Longitudinal Data., Jonathan Wesley Hicks
Modeling The Progression Of Discrete Paired Longitudinal Data., Jonathan Wesley Hicks
Electronic Theses and Dissertations
It is our intention to derive a methodology for which to model discrete paired longitudinal data. Through the use of transition matrices and maximum likelihood estimation techniques by means of software, we develop a way to model the progression of such data. We provide an example by applying this method to the Wisconsin Epidemiological Study of Diabetic Retinopathy data set. The data set is comprised of individuals, all diabetics, who have had their eyes examined for diabetic retinopathy. The eyes are treated as paired data, and we have the results of the examination at the four unequally spaced time points …
Interval Estimation For The Ratio Of Percentiles From Two Independent Populations., Pius Matheka Muindi
Interval Estimation For The Ratio Of Percentiles From Two Independent Populations., Pius Matheka Muindi
Electronic Theses and Dissertations
Percentiles are used everyday in descriptive statistics and data analysis. In real life, many quantities are normally distributed and normal percentiles are often used to describe those quantities. In life sciences, distributions like exponential, uniform, Weibull and many others are used to model rates, claims, pensions etc. The need to compare two or more independent populations can arise in data analysis. The ratio of percentiles is just one of the many ways of comparing populations. This thesis constructs a large sample confidence interval for the ratio of percentiles whose underlying distributions are known. A simulation study is conducted to evaluate …
Estimating The Difference Of Percentiles From Two Independent Populations., Romual Eloge Tchouta
Estimating The Difference Of Percentiles From Two Independent Populations., Romual Eloge Tchouta
Electronic Theses and Dissertations
We first consider confidence intervals for a normal percentile, an exponential percentile and a uniform percentile. Then we develop confidence intervals for a difference of percentiles from two independent normal populations, two independent exponential populations and two independent uniform populations. In our study, we mainly focus on the maximum likelihood to develop our confidence intervals. The efficiency of this method is examined via coverage rates obtained in a simulation study done with the statistical software R.
Methods For The Analysis Of Developmental Respiration Patterns., Justin Tyler Peyton
Methods For The Analysis Of Developmental Respiration Patterns., Justin Tyler Peyton
Electronic Theses and Dissertations
This thesis looks at the problem of developmental respiration in Sarcophaga crassipalpis Macquart from the biological and instrumental points of view and adapts mathematical and statistical tools in order to analyze the data gathered. The biological motivation and current state of research is given as well as instrumental considerations and problems in the measurement of carbon dioxide production. A wide set of mathematical and statistical tools are used to analyze the time series produced in the laboratory. The objective is to assemble a methodology for the production and analysis of data that can be used in further developmental respiration research.