• Title/Summary/Keyword: Sample matrix

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Test of Homogeneity Baseon Complex Survey Data : Discussion Based on Power of Test

  • Heo, Sun-Yeong;Yi, Su-Cheol
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.3
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    • pp.609-620
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    • 2005
  • In the secondary data analysis for categorical data, situations often arise in which the estimated cell variances are available, but not the full matrix of variances. In this case researchers are often inclined to use Pearson-type test statistics for homogeneity. However, for a complex sample observed cell proportions are not distributed as multinomial and Pearson-type test statistic generally is not distributed asymptotically as chi-square distribution. This paper evaluates powers for Wald test and Pearson-type test and the first order corrected test of Pearson-type test for homogeneity. The resulting power curves indicate that as the misspecification effect increases, the amount of inflation of significance level and the loss of power Pearson-type test are getting more severe.

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Multivariate Nonparametric Tests for Grouped and Right Censored Data

  • Park Hyo-Il;Na Jong-Hwa;Hong Seungman
    • International Journal of Reliability and Applications
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    • v.6 no.1
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    • pp.53-64
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    • 2005
  • In this paper, we propose a nonparametric test procedure for the multivariate, grouped and right censored data for two sample problem. For the construction of the test statistic, we use the linear rank statistics for each component and apply the permutation principle for obtaining the null distribution. For the large sample case, the asymptotic distribution is derived under the null hypothesis with the additional assumption that two censoring distributions are also equal. Finally, we illustrate our procedure with an example and discuss some concluding remarks. In appendices, we derive the expression of the covariance matrix and prove the asymptotic distribution.

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Computationally Efficient Adaptive Beamforming Method Based on Interference Subspace Extraction (간섭 부공간 추출에 기초한 계산이 간단한 적응 빔 형성 기법)

  • Choi, Yang-Ho
    • Journal of Industrial Technology
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    • v.31 no.B
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    • pp.3-7
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    • 2011
  • This paper addresses a computationally simple adaptive beamforming method to cancel interferences arriving onto a sensor array. In the proposed method, an estimate of the interference subspace is extracted from a submatrix of the sample covariance matrix and an orthonormal basis for the estimated subspace is efficiently found, one basis vector being updated every sample. Its computational burden is just $O(M{\eta})$ in an M-sensor array when ${\eta}$ directional signals are present. The new method does not make any premises of the geometrical structure of arrays, and can be applied to arbitrary arrays.

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Bayesian information criterion accounting for the number of covariance parameters in mixed effects models

  • Heo, Junoh;Lee, Jung Yeon;Kim, Wonkuk
    • Communications for Statistical Applications and Methods
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    • v.27 no.3
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    • pp.301-311
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    • 2020
  • Schwarz's Bayesian information criterion (BIC) is one of the most popular criteria for model selection, that was derived under the assumption of independent and identical distribution. For correlated data in longitudinal studies, Jones (Statistics in Medicine, 30, 3050-3056, 2011) modified the BIC to select the best linear mixed effects model based on the effective sample size where the number of parameters in covariance structure was not considered. In this paper, we propose an extended Jones' modified BIC by considering covariance parameters. We conducted simulation studies under a variety of parameter configurations for linear mixed effects models. Our simulation study indicates that our proposed BIC performs better in model selection than Schwarz's BIC and Jones' modified BIC do in most scenarios. We also illustrate an example of smoking data using a longitudinal cohort of cancer patients.

Electro-osmotic pump in osteo-articular tissue engineering: A feasibility study

  • Lemonnier, Sarah;Naili, Salah;Lemaire, Thibault
    • Advances in biomechanics and applications
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    • v.1 no.4
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    • pp.227-237
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    • 2014
  • The in vitro construction of osteo-articular large implants combining biomaterials and cells is of great interest since these tissues have limited regeneration capability. But the development of such organoids is particularly challenging, especially in the later time of the culture, when the extracellular matrix has almost filled the initial porous network. The fluid flow needed to efficiently perfuse the sample can then not be achieved using only the hydraulic driving force. In this paper, we investigate the interest of using an electric field to promote mass transport through the scaffold at the late stage of the culture. Based on the resolution of the electrokinetics equations, this study provides an estimation of the necessary electric driving force to reach a sufficient oxygen perfusion through the sample, thus analyzing the feasibility of this concept. The possible consequences of such electric fields on cellular activities are then discussed.

Tutorial: Methodologies for sufficient dimension reduction in regression

  • Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.105-117
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    • 2016
  • In the paper, as a sequence of the first tutorial, we discuss sufficient dimension reduction methodologies used to estimate central subspace (sliced inverse regression, sliced average variance estimation), central mean subspace (ordinary least square, principal Hessian direction, iterative Hessian transformation), and central $k^{th}$-moment subspace (covariance method). Large-sample tests to determine the structural dimensions of the three target subspaces are well derived in most of the methodologies; however, a permutation test (which does not require large-sample distributions) is introduced. The test can be applied to the methodologies discussed in the paper. Theoretical relationships among the sufficient dimension reduction methodologies are also investigated and real data analysis is presented for illustration purposes. A seeded dimension reduction approach is then introduced for the methodologies to apply to large p small n regressions.

Finite-Sample, Small-Dispersion Asymptotic Optimality of the Non-Linear Least Squares Estimator

  • So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.303-312
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    • 1995
  • We consider the following type of general semi-parametric non-linear regression model : $y_i = f_i(\theta) + \epsilon_i, i=1, \cdots, n$ where ${f_i(\cdot)}$ represents the set of non-linear functions of the unknown parameter vector $\theta' = (\theta_1, \cdots, \theta_p)$ and ${\epsilon_i}$ represents the set of measurement errors with unknown distribution. Under suitable finite-sample, small-dispersion asymptotic framework, we derive a general lower bound for the asymptotic mean squared error (AMSE) matrix of the Gauss-consistent estimator of $\theta$. We then prove the fundamental result that the general non-linear least squares estimator (NLSE) is an optimal estimator within the class of all regular Gauss-consistent estimators irrespective of the type of the distribution of the measurement errors.

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Determination of Thiolane Concentration from Soils by Purging Apparatus (토양중 Thiolane 농도 결정방법)

  • Chang Gyun Kim;William Paul Clarke;David Lockington
    • Journal of Korea Soil Environment Society
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    • v.4 no.2
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    • pp.3-10
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    • 1999
  • The unknown amount of thiolane retained on different soil matrix was characterized by employing an uniquely designed glass vessel, which was forced to purge the prepared slurry sample so that thiolane may diffuse into Tenax/charcoal tube. Thiolane can be recovered ranging from approximately 89 % at 1 ppm regardless of soil types, which was not consequently affected by potential biodegradation during sample preparation. For 5 ppm. thiolane is more recoverable up to 92 % for sand, whereas it was poorly recovered as low as 85 % for clay. It strongly suggests that controls should be considered when soil types varied in a concerned area. The technique was eventually capable of determination of thiolane for the samples taken from the site which led to be taken into consideration for proper site remediation.

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Dielectric Properties of Glass Fiber Reinforced Epoxy Composites by Cure under Pressure (가압 겔화법에 의한 에폭시 복합 재료의 유전적 특성)

  • 곽영순;신중홍;박정후
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.4
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    • pp.292-297
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    • 1989
  • To achieve fiber/resin reinforced composites with high quality (void-free, uniform compaction), a basic understanding of the principal factors related to a thermal cycle to cure the matrix and a pressure to compact the system is necessary. In this paper, some dielectric and mechanical properties of glass cloth reinforced epoxy composites are measured as a function of fabrication conditions, where the time that the pressure is applied to the sample during the cure process is controlled. Both the tensile strength and frequency characteristics of the sample are improved significantly when the pressure is applied at the start point of gelling.

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Crystal growth and pinning enhancement of directionally melt-textured$(Y_{0.5}Nd_{0.25}Sm_{0.25})Ba_2Cu_3O_y$ oxides in air

  • Kim So-Jung
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.15 no.5
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    • pp.188-192
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    • 2005
  • High $T_c(Y_{0.5}Nd_{0.25}Sm_{0.25})Ba_2Cu_3O_y[(YNS)-123]$ superconductors with/without $CeO_2$ additive were systematically investigated by the zone melt growth process in air. Cylindrical green rods of (YNS)-123 oxides were fabricated by cold isostatic pressing (CIP) method using rubber mould. A sample prepared by this method showed well-textured microstructure, and $(Y_{0.5}Nd_{0.25}Sm_{0.25})_2BaCuO_5[(YNS)211]$ nonsuperconducting inclusions were uniformly dispersed in large $(Y_{0.5}Nd_{0.25}Sm_{0.25})Ba_2Cu_3O_y$[(YNS)123] superconducting matrix. In this study, optimum melting temperature and growth rate were $1100^{\circ}C$ and 3 mm/hr, respectively. The directionally melt-textured (YNS)-123 sample with $CeO_2$ additive showed an onset critical temperature $(T_c)\;T_c{\geq}93K$ and sharp superconducting transition.