• Title/Summary/Keyword: Rank-sum

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Robust Non-negative Matrix Factorization with β-Divergence for Speech Separation

  • Li, Yinan;Zhang, Xiongwei;Sun, Meng
    • ETRI Journal
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    • v.39 no.1
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    • pp.21-29
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    • 2017
  • This paper addresses the problem of unsupervised speech separation based on robust non-negative matrix factorization (RNMF) with ${\beta}$-divergence, when neither speech nor noise training data is available beforehand. We propose a robust version of non-negative matrix factorization, inspired by the recently developed sparse and low-rank decomposition, in which the data matrix is decomposed into the sum of a low-rank matrix and a sparse matrix. Efficient multiplicative update rules to minimize the ${\beta}$-divergence-based cost function are derived. A convolutional extension of the proposed algorithm is also proposed, which considers the time dependency of the non-negative noise bases. Experimental speech separation results show that the proposed convolutional RNMF successfully separates the repeating time-varying spectral structures from the magnitude spectrum of the mixture, and does so without any prior training.

Sample Size Comparison for Non-Inferiority Trials

  • Kim, Dong-Wook;Kim, Dong-Jae
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.2
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    • pp.411-418
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    • 2007
  • Sample size calculation is very important in clinical trials. In this paper, we propose sample size calculation method for non-inferiority trials using sample size calculation method suggested by Wang et al.(2003) based on Wilcoxon's rank sum test. Also, sample size comparison between parametric method and proposed method are presented.

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Breakdown Points of Direction Tests

  • Park, Kyung-Mee
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.211-222
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    • 1997
  • We briefly review three Raleigh type location tests based on direction vectors, which have been shown to be efficient when the distribution is unknown, skewed, or heavy-tailed. Then we calculate their test breakdown points and discuss the robustness of Randles multivariate sign test for one-sample.

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Trend Comparison of Repeated Measures Data between Two Groups (반복측정 자료에서 개체기울기를 이용한 집단간의 차이 검정법)

  • Hwang, Kum-Na;Kim, Dong-Jae
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.565-578
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    • 2006
  • Repeated measurement data between two group is often used in the field of medicine study. In this paper, we suggest a method for comparison of the trend between two groups based on repeated measurement data. First, we estimate regression coefficient of linear regression model from each subject and generate samples using the regression coefficient estimated previous. And then, we test the difference between two groups by unpaired t-test, Wilcoxon rank sum test and placement test using generated samples. Monte Carlo Simulation is adapted to examine the power and experimental significance levels of several methods in various combinations.

Nonparametric Method for a Non-inferiority Test using Confidence Interval (신뢰구간을 이용한 비열등성 시험에서 비모수적 검정법)

  • Park, Sujung;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.833-842
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    • 2014
  • Non-inferiority trials indicate whether the effect of an experimental treatment is not worse than an active control. Chen et al. (2006) and Kang (2010) proposed a test method for non-inferiority trials using confidence intervals. In this paper, we suggest a new nonparametric method using a confidence interval based on Wilcoxon rank-sum test and Hodges-Lehmann estimator of active control. A Monte-Carlo simulation study compares the type I error and the power of the proposed method with previous methods.

Sample size comparison for two independent populations (독립인 두 모집단 설계에서의 표본수 비교)

  • Ko, Hae-Won;Kim, Dong-Jae
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1243-1251
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    • 2010
  • For clinical trials, it is common to compare the placebo and new drug. The method of calculating a sample size for two independent populations are the t-test that is used for parametric methods, and the Wilcoxon rank-sum test that is used in the non-parametric methods. In this paper, we propose a method that is using Kim's (1994) statistic power based on the linear placement statistic, which was proposed by Orban and Wolfe (1982). We also compare the sample size for the proposed method with that for using Wang et al. (2003)'s sample size formula which is based on Wilcoxon rank-sum test, and with that of t-test for parametric methods.

Effects of Foot Reflexzone Massage on State-Anxiety and Discomfort in Ovari an Cancer Patients Receiving Chemotherapy (발반사 마사지가 항암화학요법을 받는 난소암 환자의 불안과 불편감에 미치는 효과)

  • Hwang, Kyung-Hye;Choi, Euy-Soon;Yoo, Yang-Sook
    • Women's Health Nursing
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    • v.11 no.3
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    • pp.209-217
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    • 2005
  • Purpose: This study was conducted to investigate the effects of foot reflexzone massage on state - anxiety and discomfort of ovarian cancer patients receiving chemotherapy. Method: A quasi experimental design with a non equivalent control group and non synchronized design was used. The experiment was conducted from October 1, 2003 to September 30, 2004. The subjects consisted of 40 patients admitted to C University Hospital. Twenty subjects were assigned to the experimental group and received foot reflexzone massage everyday for 3 days. The other 20 subjects were in the control group and received routine care. Foot reflexzone massage was done on both feet of the subjects for 30 minutes for 3 days using standard protocol. The 'State-Anxiety Inventory' developed by Spielberger was used to measure the degree of state-anxiety. Discomfort was assessed using the 'Symptom Distress Scale' of McCorkle and Young. Data was analyzed by a SAS program using t-test, Wilcoxon signed rank sum test and Wilcoxon rank sum test. Results: State-anxiety and discomfort of subjects receiving foot reflexzone massage were significantly lower than those of the control group. Conclusion: These findings indicate that foot reflexzone massage could be an effective nursing intervention for relieving state-anxiety and discomfort in ovarian cancer patients.

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Transforming Pre-service Teachers into Data-Driven Educators: A Developmental Research

  • Huijin SEOK ;Jiwon LEE ;Eunjeong SONG ;Jeongmin LEE
    • Educational Technology International
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    • v.24 no.2
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    • pp.169-202
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    • 2023
  • This study aims to develop instructional design strategies included in educational programs that can effectively improve the educational data literacy of pre-service teachers. We used the design and development model proposed by Richey and Klein and investigated its internal and external validity. Internal validity assessment involved the input of five experts who evaluated the initial instructional strategies. We conducted an educational data literacy education program with 29 pre-service teachers from Korean colleges and graduate schools for external validity. The effectiveness of the program was verified by the Wilcoxon Rank Sum Test, which revealed a meaningful statistical difference between Wilcoxon Rank Sum Test post-scores after the four weeks of online classes. Therefore, this study developed instructional strategies followed by the steps of data-based decision-making: the final instructional strategies encompass 21 strategies, categorized for implementation before, during, and after classes, accompanied by 38 detailed guidelines. This approach bears notable significance as it encapsulates actionable and effective instructional strategies thoughtfully tailored to the unique circumstances and educational setting of the field, as well as the specific characteristics and requirements of the learners.

An Analysis of Efficiency of Sea Food Manufacturing (수산식품 가공업의 효율성 분석)

  • Yoon, Sang-Ho;Park, Cheol-Hyung
    • The Journal of Fisheries Business Administration
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    • v.46 no.2
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    • pp.111-125
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    • 2015
  • This study is to analyze the efficiency of Korean sea food manufacturing using Data Envelopment Analysis. Firstly, based on an output oriented traditional CCR, BCC model, the study estimated the efficiency scores. The average estimates of technical, pure technical, and scale efficiency turned out 0.6517, 0.7184, 0.9074 respectively, which are separated for 50 marine corporations. The 10 DMUs were efficient under CCR model while the 17 DMUs under BCC model. Also, the study suggested that the operating profit of the two output factors should be more increased relatively and averagely from the viewpoint of efficiency improvement. Secondly, super efficiency scores are estimated under super efficiency and SBM model. As a result, it came to be possible to distinguish and rank the efficiency of the efficient DMUs. The highest score was 4.2975 under Super-CCR, was 2.4947 under Super-BCC, was 2.7160 under SBM-Super-CCR, and was 1.5319 under SBM-Super-BCC model. The average estimates of super efficiency were 0.76 and 0.82 under Super-CCR and Super-BCC model respectively, and were 0.61 and 0.67 under SBM-Super-CCR and SBM-Super-BCC model. Finally, the study conducted a rank-sum test, Wilcoxon-Mann-Whitney test, to find a statistical significance of heterogeneity existing in efficiencies among the sample corporations. The result showed that there was a significant difference in average efficiency between Dried, Salted product manufacturing and Frozen product manufacturing under BCC-Super efficiency model at 10% level of significance. Furthermore, TOBIT model was applied to find out the potential factors that might influence the efficiency, Wilcoxonand the results showed debt and sales cost influenced all of the technical, pure technical, and scale efficiency, while net profit influenced only the technical efficiency.

ADDITIVE MAPPINGS ON OPERATOR ALGEBRAS PRESERVING SQUARE ABSOLUTE VALUES

  • TAGHAVI, A.
    • Honam Mathematical Journal
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    • v.23 no.1
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    • pp.51-57
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    • 2001
  • Let $\mathcal{B}(H)$ and $\mathcal{B}(K)$ denote the algebras of all bounded linear operators on Hilbert spaces $\mathcal{H}$ and $\mathcal{K}$, respectively. We show that if ${\phi}:\mathcal{B}(H){\rightarrow}\mathcal{B}(K)$ is an additive mapping satisfying ${\phi}({\mid}A{\mid}^2)={\mid}{\phi}(A){\mid}^2$ for every $A{\in}\mathcal{B}(H)$, then there exists a mapping ${\psi}$ defined by ${\psi}(A)={\phi}(I){\phi}(A)$, ${\forall}A{\in}\mathcal{B}(H)$ such that ${\psi}$ is the sum of $two^*$-homomorphisms one of which C-linear and the othere C-antilinear. We will also study some conditions implying the injective and rank-preserving of ${\psi}$.

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