Exploring Exhibition of Some Statistical Methods

• Main Authors: Min-JuHo, 何旻儒
• Other Authors: C. Joseph Lu
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/28035176338171207351

碩士 === 國立成功大學 === 統計學系碩博士班 === 98 === The process of statistical development, the calculation and drawing is not easy in the past, so statistician often preferred easy calculation in the development of statistical methods. With the capability of modern computer and softwares: faster computing, handling of complicated programming, and generating of sophisticated graphs, we are able to make use of such approach more efficiently, and have the approach further extended and generalized. Graphical techniques can strengthen the interpretability and understanding of statistical methods in learning and teaching. Furthermore, we provide codes of software args{R} for these graphical approaches and computation in order to help the readers to have insight about methods and training by self-learning and practicing. The motivation by Jerrel(1988) that used software Minitab to demonstrate about the costs of Type I and Type II errors issues, we can improve this work by modern knowledge, skills, and software tools. In the study, however, we recognize that there to be more specific presentation in the statistical test, by the Type I and Type II errors graphical instructions. It also found that there is some inappropriate graphs in statistics textbooks, these easily lead to misleading that need to be clarified and corrected. We also found that almost the Type I and Type II errors instructions are limited to hypothesis testing for mean. So we also worked out hypothesis testing for variance. In regression analysis, we also found in statistics textbooks, articles, and statistical software that fitted line and its 95 \% confidence interval, even prediction interval curves will be add to the scatter plot of original data. It is a misleading graph and we suggested to clarify and recommended an appropriate way to a add on fitted model curves instead.