• Title/Summary/Keyword: Weighted rank sum

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Nonparametric Tests in AB/BA/AA/BB Crossover Design

  • Nam, Jusun;Kim, Dongjae
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.607-618
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    • 2002
  • Crossover design is often used in clinical trials about chronic diseases like hypertension, asthma and arthritis. In this paper, we suggest nonparametric approaches of Friedman-type rank test based on Bernard-van Elteren test and of aligned method keeping the information of blocks based on the AB/BA/AA/BB crossover design. The simulation results are presented to compare experimental error and power of several methods.

STRONG PRESERVERS OF SYMMETRIC ARCTIC RANK OF NONNEGATIVE REAL MATRICES

  • Beasley, LeRoy B.;Encinas, Luis Hernandez;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1503-1514
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    • 2019
  • A rank 1 matrix has a factorization as $uv^t$ for vectors u and v of some orders. The arctic rank of a rank 1 matrix is the half number of nonzero entries in u and v. A matrix of rank k can be expressed as the sum of k rank 1 matrices, a rank 1 decomposition. The arctic rank of a matrix A of rank k is the minimum of the sums of arctic ranks of the rank 1 matrices over all rank 1 decomposition of A. In this paper we obtain characterizations of the linear operators that strongly preserve the symmetric arctic ranks of symmetric matrices over nonnegative reals.

A Success factor for Technology Commercialization for Start-ups by the Weighted-BMO Model (BMO모형을 이용한 스타트업 기술사업화 성공요인 연구)

  • Min, Kwang-Dong;Huh, Moo-Yul;Han, Jeong-Hui
    • The Journal of Industrial Distribution & Business
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    • v.9 no.11
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    • pp.39-54
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    • 2018
  • Purpose - To success, in spite of deficient resources, a start-up company has to check various circumstances. Many researchers proposed different appraisal methods for technology commercialization. But everybody agrees Merrifield is the first one, who is a pioneer of an appraisal model of technology commercialization. After he proposed it, many researchers and field workers developed a more complicated model, which called a BMO model. In this research, considering the circumstances of start-ups that lack available resources, it proposes a new appraisal method for technology commercialization, which is named a weighted-BMO model. Research design, data, and methology - For the new BMO-model, it studied the preceding studies. And it found that the success factors for start-ups were correlated with technology commercialization. After comparing the success factors for technology commercialization of start-ups with BMO appraisal factor, it withdraws the net BMO appraisal model: which we are calling the weighted-BMO model. Results - This study found a few things. First, actually, the BMO appraisal factors related with the success factors of technology commercialization. Second, the weighted-BMO model, which included the entrepreneur ability factor, was more accurately estimated the success of technology-based start-ups than the BMO model. Third, it overcame the weakness of the BMO-model, which did not include quantitative factors. In addition to evaluating the feasibility of the BMO model, we also presented a strategy for the future direction. But, still, it included a few shortcomings, which we are calling the arbitrage of weighted value. Sometimes, the intentional weighted value can deliberate the different valuation. Conclusitons - Due to this study, the weighted-BMO model included appraisal factors related with the success factors of technology commercialization and the entrepreneur ability factor, and quantitative factors. When evaluating the combined score of the existing Merrified BMO components, 35 points of the first pass criterion accounted for 29.17% of the total score, and 80 points of the merit score of the second rank criterion were 66.67% Considering that the weighted sum is taken into account, the baseline score of the weighted summing method for each component of the modified BMO model is 2.92 points, which is 29.17% of the weighted sum total of 10 points. The evaluation score was 6.67 points, 66.67% of the weighted total score of 10 points.

Fuzzy TOPSIS Approach to Flood Vulnerability Assessment in Korea (우리나라 홍수 취약성 평가를 위한 Fuzzy TOPSIS 접근법)

  • Kim, Yeong-Kyu;Chung, Eun-Sung;Lee, Kil-Seong
    • Journal of Korea Water Resources Association
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    • v.45 no.9
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    • pp.901-913
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    • 2012
  • This study will be a new attempt to quantify flood vulnerability taking into account uncertainty. Information obtained from the real world has lots of uncertainties. Therefore, this study developed an approach to quantify spatial flood vulnerability of Korea using Fuzzy TOPSIS approach. Also, Fuzzy TOPSIS were compared with TOPSIS and weighted sum method. As a result, rankings of some areas were changed dramatically due to the uncertainty. Spearman rank correlation analysis indicated that the rankings of TOPSIS and weighted sum method were almost similar, but quite different from ranking of Fuzzy TOPSIS. In other words, because applying Fuzzy concept in regional vulnerability assessment may cause a significant change in priorities, the model presented in this study may be a method of vulnerability assessment.

The Significance Test on the AHP-based Alternative Evaluation: An Application of Non-Parametric Statistical Method (AHP를 이용한 대안 평가의 유의성 분석: 비모수적 통계 검정 적용)

  • Park, Joonsoo;Kim, Sung-Chul
    • The Journal of Society for e-Business Studies
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    • v.22 no.1
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    • pp.15-35
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    • 2017
  • The method of weighted sum of evaluation using AHP is widely used in feasibility analysis and alternative selection. Final scores are given in forms of weighted sums and the alternative with largest score is selected. With two alternatives, as in feasibility analysis, the final score greater than 0.5 gives the selection but there remains a question that how large is large enough. KDI suggested a concept of 'grey area' where scores are between 0.45 and 0.55 in which decisions are to be made with caution, but it lacks theoretical background. Statistical testing was introduced to answer the question in some studies. It was assumed some kinds of probability distribution, but did not give the validity on them. We examine the various cases of weighted sum of evaluation score and show why the statistical testing has to be introduced. We suggest a non-parametric testing procedure which does not assume a specific distribution. A case study is conducted to analyze the validity of our suggested testing procedure. We conclude our study with remarks on the implication of analysis and the future way of research development.

THE EFFECT OF EARLY CORONAL FLARING ABOUT APICAL EXTRUSION OF DEBRIS (근관의 치경부 조기 확대가 치근단 잔사 정출에 미치는 효과)

  • Kim, Min-Kyung;Min, Jeong-Beom;Hwang, Ho-Keel
    • Restorative Dentistry and Endodontics
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    • v.29 no.2
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    • pp.147-152
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    • 2004
  • The purpose of this study was to investigate the quantity of debris which was extruded apically after canal instrumentation using different types of enlarging instrument in endodontic resin models. Five groups of 9 endodontic resin models were instrumented using each different technique : hand instrumentation without early coronal flaring. hand instrumentation after early coronal flaring. and three nickel-titanium engine-driven instrumentations (Hero 642, Protaper, $K^$). Debris extruded from apical foramen during instrumentation was collected on preweighed CBC bottle, desiccated and weighted using electronic balance. The results were analyzed using Kruskal-wallis test and Mann-Whitney U rank sum test at a significance level of 0.05. The results were as follows: 1. All of instrumentation techniques produced apically extruded debris. 2. Group without early coronal flaring extruded significant more debris than groups with early coronal flaring. 3. There was no significant difference among early coronal flaring groups. The early coronal flaring is very important to reduce the amount of debris extruded apically.

Characteristics and Socio-Demographic Distribution of Precarious Employment Among Korean Wage Workers: A Proposition of Multidimensional Approach Using a Summative Score

  • Seong-Uk Baek;Min-Seok Kim;Myeong-Hun Lim;Taeyeon Kim;Jin-Ha Yoon;Jong-Uk Won
    • Safety and Health at Work
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    • v.14 no.4
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    • pp.476-482
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    • 2023
  • Introduction: There is a growing global interest in the issue of precarious employment. We aimed to analyze the characteristics and socio-demographic distribution of precarious employment using a summative score approach. Methods: To operationalize precarious employment, we utilized data from the Korean Working Conditions Survey and focused on three distinct dimensions: employment insecurity, income inadequacy, and a lack of rights and protections. By constructing a summative scale ranging from -16 to 2, with lower scores indicating higher precariousness, we measured employment precariousness among Korean wage workers. To compare employment precariousness according to survey participant characteristics, we employed the Wilcoxon Rank Sum Test. Results: We analyzed a weighted number of 38,432 workers. The overall sample showed a median (Q1, Q3) summative scale score of -3 (-6, -1). The median summative score was lower for women compared to men (men: -2; women: -5; p < 0.001), as well as for young or older workers compared to middle-aged workers (young: -4; middle-aged: -2; older: -5; p < 0.001). Similarly, workers with lower educational levels (middle school or below: -8; high school: -5; college or above: -2; p < 0.001) and non-white collar workers (blue collar: -5; service/sales worker: -6; white collar: -2; p < 0.001) experienced higher levels of employment precariousness. Conclusion: Our findings indicate that certain vulnerable groups, such as women, young or older adults, workers with low educational attainment, and caregiving or low-skilled elementary workers, are disproportionately exposed to high employment precariousness. Active policy interventions are needed to improve the employment quality of vulnerable groups.