• Communications for Statistical Applications and Methods
• /
• v.25 no.5
• /
• pp.559-568
• /
• 2018

Gene classification can involve complex order-restricted inference. Examining gene expression pattern across groups with order-restriction makes standard statistical inference ineffective and thus, requires different methods. For this problem, Roy's union-intersection principle has some merit. The M-estimator adjusting for outlier arrays in a microarray study produces a robust test statistic with distribution-insensitive clustering of genes. The M-estimator in conjunction with a union-intersection principle provides a nonstandard robust procedure. By exact permutation distribution theory, a conditionally distribution-free test based on the proposed test statistic generates corresponding p-values in a small sample size setup. We apply a false discovery rate (FDR) as a multiple testing procedure to p-values in simulated data and real microarray data. FDR procedure for proposed test statistics controls the FDR at all levels of ${\alpha}$ and ${\pi}_0$ (the proportion of true null); however, the FDR procedure for test statistics based upon normal theory (ANOVA) fails to control FDR.

• Communications for Statistical Applications and Methods
• /
• v.21 no.1
• /
• pp.11-22
• /
• 2014

In this study, we propose a simultaneous test procedure based on the individual - values for each sub-null hypothesis with several well-known combining functions. We then compare the efficiency of our procedure with existing tests by obtaining empirical powers through a simulation study. Finally, we discuss some interesting features related to simultaneous test and point out a misconduct for the simulation study published in the previous work.

• Communications for Statistical Applications and Methods
• /
• v.19 no.1
• /
• pp.129-134
• /
• 2012

In this paper we review a bi-aspect nonparametric test for the two-sample problem under the location translation model and propose a new one to accommodate a more broad class of underlying distributions. Then we compare the performance of our proposed test with other existing ones by obtaining empirical powers through a simulation study. Then we discuss some interesting features related to the bi-aspect test with a comment on a possible expansion for the proposed test as concluding remarks.

• Communications for Statistical Applications and Methods
• /
• v.20 no.4
• /
• pp.241-246
• /
• 2013

In this study, we propose a nonparametric simultaneous test procedure for the location translation and scale parameters. We consider the Wilcoxon rank sum test for the location translation parameter and the Mood test for the scale parameter with the quadratic and maximal types of combining functions. Then we derive the limiting null distributions of the combining functions. We illustrate our procedure with an example and compare efficiency by obtaining the empirical powers through a simulation study. Finally, we discuss some interesting features related to the nonparametric simultaneous tests.

• The Korean Journal of Applied Statistics
• /
• v.25 no.5
• /
• pp.821-827
• /
• 2012

In this study, we propose a new nonparametric test procedure for the multivariate data. In order to accommodate the generalized alternatives for the multivariate case, we construct test statistics via-values with some useful combining functions. Then we illustrate our procedure with an example and compare efficiency among the combining functions through a simulation study. Finally we discuss some interesting features related with the new nonparametric test as concluding remarks.

• Journal of the Korean Data and Information Science Society
• /
• v.21 no.2
• /
• pp.291-296
• /
• 2010

In this paper, we consider a versatile test based on percentile tests. The versatile test may be useful when the underlying distributions are unknown or quite different types. We consider two kinds of combining functions for the percentile statistics, the quadratic and summing forms and obtain the limiting distributions under the null hypothesis. Then we illustrate our procedure with an example. Finally we discuss some interesting features of the test as concluding remarks.

• Journal of the Korean Society of Clothing and Textiles
• /
• v.19 no.2
• /
• pp.190-202
• /
• 1995

The Optical Art is based on the principle of visual perception of the illusionary effects which induce psychological responses. It has influenced greatly on the Texile Design in that unique iJlusionary creativity of pattern simulates the visual sense of special movement; the dynamic psylosophy of vitalism. The Optical pattern has become a highly valued item due to its innovative effect in aesthetic direction. According to Vitor Vasarely the pioneer in this area, the integration and the inseparability of form and color which he calls 'Plastic Unity' provides the basis for the composition of infinite variety. The composition of infinite variety. The composition reveals the complex interaction between the space and form relating to order, repetition, combination and permutation. It is not simple to create optical patterns due to the extreme complexity composed by the multi-dimension and the infusion of form and color giving immensely varied movement. The purposes of this study are as follows; 1) to classify the complex processes of optical pattern on the basis of formative method. 2) to develop creative ideas for progressive contemporary textile design In this study, the analysis of applied methods is concentrated, which is based 1) on the gradual modification and on the transformation of the basic plastic elements which depend on thle direction of visual points involVing contradictory perspectives 2) on the composition varied special situations by repeating, overlapping and converging a series of idetUical units or by means of irrdiation, radiation and etc.

• Journal for History of Mathematics
• /
• v.25 no.4
• /
• pp.101-119
• /
• 2012

The removal of the Go Stones is a game that anyone can play through simple rules. It is not only an interesting game but also a mathematical game that requires comprehensive knowledge of several mathematical theories. Through analyzing the rules and theories of this game, students can get a new mathematical perspective and recognize something that they didn't realize as important before. Furthermore, this game is given to students as a mathematical problem unconsciously. This helps them get a mathematical approach to understanding the actual concept of the problem as well as the basic principle of the problem.

• Science of Emotion and Sensibility
• /
• v.20 no.2
• /
• pp.149-160
• /
• 2017

In hypothesis testing, the interpretation of a statistic obtained from the data analysis relies on a probabilistic distribution of the statistic constructed according to several statistical theories. For instance, the statistical significance of a mean difference between experimental conditions is determined according to a probabilistic distribution of the mean differences (e.g., Student's t) constructed under several theoretical assumptions for population characteristics. The present study explored the logic and advantages of random-resampling approach for analyzing event-related potentials (ERPs) where a hypothesis is tested according to the distribution of empirical statistics that is constructed based on randomly resampled dataset of real measures rather than a theoretical distribution of the statistics. To motivate ERP researchers' understanding of the random-resampling approach, the present study further introduced a specific example of data analyses where a random-permutation procedure was applied according to the random-resampling principle, as well as discussing several cautions ahead of its practical application to ERP data analyses.