| Summary: | 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.
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