• Kyungpook Mathematical Journal
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• 제48권3호
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• pp.465-472
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• 2008

For a nonnegative real matrix A of rank 1, A can be factored as $ab^t$ for some vectors a and b. The perimeter of A is the number of nonzero entries in both a and b. If B is a matrix of rank k, then B is the sum of k matrices of rank 1. The perimeter of B is the minimum of the sums of perimeters of k matrices of rank 1, where the minimum is taken over all possible rank-1 decompositions of B. In this paper, we obtain characterizations of the linear operators which preserve perimeters 2 and k for some $k\geq4$. That is, a linear operator T preserves perimeters 2 and $k(\geq4)$ if and only if it has the form T(A) = UAV or T(A) = $UA^tV$ with some invertible matrices U and V.

• 대한수학회지
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• 제46권1호
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• pp.113-123
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• 2009

A rank one matrix can be factored as $\mathbf{u}^t\mathbf{v}$ for vectors $\mathbf{u}$ and $\mathbf{v}$ of appropriate orders. The perimeter of this rank one matrix is the number of nonzero entries in $\mathbf{u}$ plus the number of nonzero entries in $\mathbf{v}$. A matrix of rank k is the sum of k rank one matrices. The perimeter of a matrix of rank k is the minimum of the sums of perimeters of the rank one matrices. In this article we characterize the linear operators that preserve perimeters of matrices over semirings.

• 대한산업공학회지
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• 제26권1호
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• pp.27-35
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• 2000

For a weighting method to be practically valid, it should produce weights which coincide with the relative importance of attributes perceived by the decision maker. In this paper, 'bootstrapping' is used to compare the practical validities of five weighting methods frequently used; the rank order centroid method, the rank reciprocal method, the rank sum method, the entropic method, and the geometric mean method. Bootstrapping refers to the procedure where the analysts allow the decision maker to make careful judgements on a series of similar cases, then infer statistically what weights he was implicitly using to arrive at the particular ranking. The weights produced by bootstrapping can therefore be regarded as well reflecting the decision maker's perceived relative importances. Bootstrapping and the five weighting methods were applied to a job selection problem. The results showed that both the rank order centroid method and the rank reciprocal method had higher level of practical validity than the other three methods, though a large difference could not be found either in the resulting weights or in the corresponding solutions.

• 한국환경과학회지
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• 제7권1호
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• pp.1-7
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• 1998

This paper alms to estimate the change point of the precipitation in Pusan area using the several statistical approaches. The data concerning rainfall are extracted from the annual climatological report and monthly weather report issued by the Korean Meteorological Administration. The average annual precipitation at Pusan is 1471.6 mm, with a standard deviation of 406.0 mm, less than the normal(1486.0 mm). The trend of the annual precipitation is continuously decreasing after 1991 as a change point. And the statistical tests such as t-test and Wilcoxon rank sum test reveals that the average annual precipitation of after 1991 is less than that of before 1991 at 10% significance level. And the mean gnu성 precipitation In Kyongnam districts is also continuously decreasing after 1991 same as Pusan.

• Journal of the Korean Statistical Society
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• 제30권4호
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• pp.679-691
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• 2001

Two truncated sequential tests are developed for the two-sample scale problem based on the usual Wilcoxon rank-sum statistic for two different dispersion indices - absolute median deviations, when the medians of the two populations X and Y are equal or known and sums of squared mean deviations, when the medians are either unknown or unequal. The first test is briefly called SWAMD test and the second SWSMD test. For the SWAMD test, the percentile points for both the one-sided and two-sided alternatives, (equation omitted) have been found by Wiener approximation and their values computed for a range of values of a and N; analytical expression for the power function has been derived through Wiener process and its performance studied for various sequential designs for exponential distribution. This test has been illustrated by a numerical example. All the results of the SWAMD test, being directly applicable to the SWSMD test, are not dealt with separately Both the tests are compared and their suitable applications indicated.

• Nuclear Engineering and Technology
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• 제30권5호
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• pp.444-451
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• 1998

The cost-effective reduction of occupational radiation exposure (ORE) dose at a nuclear power plant could not be achieved without going through an extensive analysis of accumulated ORE dose data of existing plants. It is necessary to identify what are high ORE jobs for ALARA implementation. In this study, the Rank Sum Method (RSM) is used in identifying high ORE jobs. As a case study, the database of ORE-related maintenance and repair jobs for Kori Units 3 and 4 is used for assessment, and top twenty high ORE jobs are identified. The results are also verified and validated using the Friedman test, and RSM is found to be a very efficient way of analyzing the data.

• 환경영향평가
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• 제6권1호
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• pp.111-119
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• 1997

This study was carried out to suggest the best statistical test which may be used to quantify the change of water quality between two groups. Traditional t-test may not be used in cases where the normality of underlying population distribution is not assured. Three non-parametric tests which are based on the relative order of the measurements, were studied to find out the applicability in water quality data analysis. The sign test is based on the sign of the deviation of the measurement from the median value, and the binomial distribution table is used. The signed rank test utilizes not only the sign but also the magnitude of the deviation. The Wilcoxon rank-sum test which is basically same as Mann-Whitney test, tests the mean difference between two independent samples which may have missing data. Among the three non-parametric tests studied, the singed rank test was found out to be applicable in the quantification of the change of water quality between two samples.

• Communications for Statistical Applications and Methods
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• 제5권3호
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• pp.707-722
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• 1998

This paper evaluates a new clinical trial designs for low infection rate disease. This type of sparse disease reaction makes the traditional two sample t-test or Wilcoxon rank-sum test inefficient compared to a new test suggested. The new test, which is based solely on the larger changes, is shown to be more effective than existing method by simulation for small samples. However, this test can be shown to be connected to the locally most powerful rank test under certain practical conditions. This design is motivated in testing the treatment effects in periodontal disease research.

• 사상체질의학회지
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• 제18권2호
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• pp.83-95
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• 2006

1. Objectives and Methods The purpose of this study was to objectify the diagnosis of Sasang constitution. It analyzed the adult male and female voices into 23factors using PSSC-2004. The study was conducted by subjects inputting 2.5-3 sec of [a] in 586 men and women's voices to PSSC-2004. The statistical analyses are applied to three groups: total group, male group, female group. The group with a total of 586 was composed of 155 Soyangin, 230 Taeumin and 201 Soeumin. The male group was composed with 61 Soyangin, 127 Taeumin and 87 Soeumin. The female group was composed with 94 Soyangin, 103 Taeumin and 114 Soeumin. Taeyangin were excluded for a more accurate statistical analysis. 2. Results (I) In total group, Taeumin's peak sum was significantly high compared with the others(P=0.021). It was significant for distinction between Taeumin and Soyangin at the result of post mortem. (2) In total group, the Soyangin's rank6, rank7 and rank8 were significantly high compared with the others (P=0.050)(0.043)(0.034). (3) In total group, the Soyangin's rank9 was significantly high compared with the others(P=0.025). It was significant for distinction between Taeumin and Soyangin at the result of post mortem. (4) In male group, the Soyangin's code3 was significantly high compared with the others(P=0.050). (5) In male group, the Soyangin's code1 was significantly low compared with the others(P=0.004). It was significant for distinction between Taeumin and Soyangin at the result of post mortem. (6) In male group, the Soyangin's rank1, rank2, rank3 and rank4 were significantly high compared with the others(P=0.017)(0.008) (0.005)(0.002). They were significant for distinction between Taeumin and Soyangin at the result of post mortem. (7) In female group, the Taeumin's code1 was significantly low compared with the others(P=0.016). It was significant for distinction between Taeumin and Soeumin at the result of post mortem. 3. Conclusion From above result, there is the possibility of efficiency standard gide for constitutional diagnosis by analyzation of the voices.

• 사상체질의학회지
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• 제18권2호
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• pp.68-82
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• 2006

1. Objectives and Methods The purpose of this study was to objectify the diagnosis of Sasang constitution. It was analyzed the adult men and women's [i] sound into 23 factors with PSSC-2004. The study was conducted by subjects inputting 2.5-3 sec of [i] of 586 adult men and women's voices to PSSC-2004. The statistical analysis are applied to three groups : total group, male group, female group. The group of total 586 was composed with 155 Soyangin, 230 Taeumin and 201 Soeumin. The male group was composed with 61 Soyangin, 127 Taeumin and 87 Soeumin. The female group was composed with 94 Soyangin, 103 Taeumin and 114 Soeumin. 2. Results (1) In total group, the Soyangin's code3 was significantly low compared with the others(P=0.011). In total group, the Taeumin's code2 and the Soyangin's code1 were significantly high compared with the others(p=0.007)(P=0.030). (2) In total group, the Soyangin's peak, 50 up in peak and under 3 in peak were significantly low compared with the others(P=0.003) (P=0.005)(P=0.023). (3) In total group, the Taeumin's rank7, rank8, rank9 and rank10 were significantly high compared with the others (P=0.013)(P=0.015) (P=0.016)(P=0.003). (4) In male group, the Soeumin's code3 was significantly high compared with the others(P=0.002). (5) In male group, the Soeumin's peak sum was significantly high compared with the others(P=0.009). It was significant for distinction between Soeumin and Soyangin at the result of post mortem. In male group, the Soeumin's 50 up in peak, 50 down in peak were significantly high compared with the others(P=0.049)(p=0.037). In male group, the Soeumin's under 3 in peak was significantly high compared with the others(P=0.016). It was significant for distinction between Soeumin and Soyangin at the result of post mortem. (6) In male group, the Soeumin's rank 2, rank 3 and rank 4 were significantly low compared with the others(P=0.011) (0.011)(0.024). (7) In female group, the Taeumin's code2 was significantly high compared with the others(P=0.023). In female group, the Soyangin's code1 was significantly low compared with the others (P=0.046). In female group, Soyangin's code-1 was significantly high compared with the others(P=0.024). It was significant for distinction between Taeumin and Soyangin at the result of post mortem. (8) In female group, the Taeumin's peak sum was significantly high compared with the others(P=0.024). It was significant for distinction between Taeumin and Soyangin at the result of post mortem. In female group, the Taeumin's 50 up in peak was significantly high compared with the others(P=0.012). (9) In female group, the Taeumin's rank 7, rank 8, rank 9 and rank 10 were significantly high compared with the others (P=0.009) (P=0.013)(P=0.016)(P=0.023). 3. Conclusion From above result, there is the possibility of efficiency standardguide for constitutional diagnosis by analyzation of the voices.