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Full-Text Articles in Applied Statistics
Unbalanced Analysis Of Variance Comparing Standard And Proposed Approximation Techniques For Estimating The Variance Components, James P. Pugsley
Unbalanced Analysis Of Variance Comparing Standard And Proposed Approximation Techniques For Estimating The Variance Components, James P. Pugsley
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
This paper considers the estimation of the components of variation for a two-factor unbalanced nested design and compares standard techniques with proposed approximation procedures. Current procedures are complicated and assume the unbalanced sample size to be fixed. This paper tests some simpler techniques, assuming sample sizes are random variables. Monte Carlo techniques were used to generate data for testing of these new procedures.
A Confidence Interval Estimate Of Percentile, How Coung Jou
A Confidence Interval Estimate Of Percentile, How Coung Jou
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The confidence interval estimate of percentile and its applications were studied. The three methods of estimating a confidence interval were introduced. Some properties of order statistics were reviewed. The Monte Carlo Method -- used to estimate the confidence interval was the most important one among the three methods. The generation of ordered random variables and the estimation of parameters were discussed clearly. The comparison of the three methods showed that the Monte Carlo method would always work, but the K-S and the simplified methods would not.