• 제목/요약/키워드: null designs

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POLYTOPES OF MINIMAL NULL DESIGNS

  • Cho, Soo-Jin
    • 대한수학회논문집
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    • 제17권1호
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    • pp.143-153
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    • 2002
  • Null designs form a vector space and there are only finite number of minimal null designs(up to scalar multiple), hence it is natural to look at the convex polytopes of minimal null designs. For example, when t = 0, k = 1, the convex polytope of minimal null designs is the polytope of roofs of type An. In this article, we look at the convex polytopes of minimal null designs and find many general properties on the vertices, edges, dimension, and some structural properties that might help to understand the structure of polytopes for big n, t through the structure of smaller n, t.

A NOTE ON NULL DESIGNS OF DUAL POLAR SPACES

  • CHO, SOO-JIN
    • 대한수학회논문집
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    • 제20권1호
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    • pp.15-21
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    • 2005
  • Null designs on the poset of dual polar spaces are considered. A poset of dual polar spaces is the set of isotropic subspaces of a finite vector space equipped with a nondegenerate bilinear form, ordered by inclusion. We show that the minimum number of isotropic subspaces to construct a nonzero null t-design is ${\prod}^{t}_{i=0}(1+q^{i})$ for the types $B_N,\;D_N$, whereas for the case of type $C_N$, more isotropic subspaces are needed.

한 블록 당 실험의 크기가 2인 경우 정의대비를 이용한 2n요인실험과 그 일부실시법의 설계방법 (Blocking Method of 2n Factorial and Fractional Factorial Designs in Blocks of Size Two by Using Defining Contrast)

  • 최병철
    • Communications for Statistical Applications and Methods
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    • 제15권4호
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    • pp.497-507
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    • 2008
  • 동일 환경에서 할 수 있는 실험의 크기가 2인 경우 $2^n$요인실험과 그 일부실시법을 설계하려면 교락법을 반복적으로 사용해야한다. $2^n$요인실험 또는 그 일부실시법의 교락법들을 적절히 조합하면 모든 주효과와 2인자 교호작용효과 전부 또는 일부를 검출할 수 있는 실험을 설계할 수 있다. 이런 실험을 설계하기 위해 정의대비를 이용했고 설계된 실험의 처리조합을 제시하였다.

Empirical Statistical Power for Testing Multilocus Genotypic Effects under Unbalanced Designs Using a Gibbs Sampler

  • Lee, Chae-Young
    • Asian-Australasian Journal of Animal Sciences
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    • 제25권11호
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    • pp.1511-1514
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    • 2012
  • Epistasis that may explain a large portion of the phenotypic variation for complex economic traits of animals has been ignored in many genetic association studies. A Baysian method was introduced to draw inferences about multilocus genotypic effects based on their marginal posterior distributions by a Gibbs sampler. A simulation study was conducted to provide statistical powers under various unbalanced designs by using this method. Data were simulated by combined designs of number of loci, within genotype variance, and sample size in unbalanced designs with or without null combined genotype cells. Mean empirical statistical power was estimated for testing posterior mean estimate of combined genotype effect. A practical example for obtaining empirical statistical power estimates with a given sample size was provided under unbalanced designs. The empirical statistical powers would be useful for determining an optimal design when interactive associations of multiple loci with complex phenotypes were examined.

Nonparametric Methods for Analyzing Incomplete Ranking Data

  • Lim, Dong-Hoon
    • Communications for Statistical Applications and Methods
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    • 제5권3호
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    • pp.695-706
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    • 1998
  • In this paper we consider the setting where a group of n judges are to independently rank a series of κ objects, but the intended complete rankings are not realized and we are faced with analyzing randomly incomplete rank vectors. We discuss some tests based on Friedman statistics on the designs completed through rank imputation schemes suggested by Lordo and Wolfe (1994) and evaluate them on the basis of simulated power studies, constructing their appropriate null distributions.

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Kendall의 Tau에 의한 회귀직선의 평행성에 관한 비모수 검정 (A Nonparametric Test for the Parallelism of Regression Lines Based on Kendall's Tau)

  • Song, Moon-Sup
    • Journal of the Korean Statistical Society
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    • 제7권1호
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    • pp.17-26
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    • 1978
  • For testing $\beta_i=\beta, i=1,...,k$, in the regression model $Y_{ij} = \alpha_i + \beta_ix_{ij} + e_{ij}, j=1,...,n_i$, a simple and robust test based on Kendall's tau is proposed. Its asymptotic distribution is proved to be chi-square under the null hypthesis and noncentral chi-square under an appropriate sequence of alternatives. For the optimal designs, the asymptotic relative efficiency of the proposed procedure with respect to the least squares procedure is the same as that of the Wilcoxon test with respect to the t-test.

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CIM(Combined Integer Mapping)을 이용한 OFDM 송신기의 IFFT 메모리 감소 (Memory Reduction of IFFT Using Combined Integer Mapping for OFDM Transmitters)

  • 이재경;장인걸;정진균;이철동
    • 대한전자공학회논문지TC
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    • 제47권10호
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    • pp.36-42
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    • 2010
  • FFT(Fast Fourier Transform)는 IEEE 802.22와 같은 여러 무선표준에서 사용되는 OFDM 시스템의 주요 블록 중 하나이다. FFT의 전력소모 감소, 면적감소, 고속동작을 위해 새로운 FFT 아키텍처 개발, twiddle factor 곱셈을 위한 곱셈기의 수나 면적감소, 제어회로의 단순화 등에 초점을 둔 FFT 프로세서의 구현에 관한 연구가 지속적으로 진행되어왔다. FFT의 입력포인트 수 N이 증가함에 따라 $log_2N$ 개의 각 FFT 스테이지 구현에 사용되는 시프트레지스터(또는, 페모리)가 차지하는 비중이 전체 FFT회로의 70%이상이 되며 이러한 메모리들은 FFT의 처음 두 스테이지에 집중되어 두 스테이지의 메모리가 전체 메모리의 75%를 차지한다. 본 논문에서는 OFDM 송신부의 IFFT(Inverse Fast Fourier Transform)에서 요구되는 메모리 사이즈를 감소시키기 위해 입력변조신호, 파일럿(pilot)신호, 널(null) 신호의 mapping을 IFFT와 결합하는 새로운 기법을 제안한다. Cognitive radio 시스템에 적용하기 위한 2048포인트 IFFT를 제안한 방법으로 설계하고 메모리가 차지하는 면적에서 기존의 방법과 비교하여 38.5%이상의 이득을 가짐을 보인다.

The Aquisition and Description of Voiceless Stops of Spanish and English

  • Marie Fellbaum
    • 대한음성학회:학술대회논문집
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    • 대한음성학회 1996년도 10월 학술대회지
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    • pp.274-274
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    • 1996
  • This presents the preliminary results from work in progress of a paired study of the acquisition of voiceless stops by Spanish speakers learning English, and American English speakers learning Spanish. For this study the hypothesis was that the American speakers would have no difficulty suppressing the aspiration in Spanish unaspirated stops; the Spanish speakers would have difficulty acquiring the aspiration necessary for English voiceless stops, according to Eckman's Markedness Differential Hypothesis. The null hypothesis was proved. All subjects were given the same set of disyllabic real words of English and Spanish in carrier phrases. The tokens analyzed in this report are limited to word-initial voiceless stops, followed by a low back vowel in stressed syllables. Tokens were randomized and then arranged in a list with the words appearing three separate times. Aspiration was measured from the burst to the onset of voicing(VOT). Both the first language (Ll) tokens and second language (L2) tokens were compared for each speaker and between the two groups of language speakers. Results indicate that the Spanish speakers, as a group, were able to reach the accepted target language VOT of English, but English speakers were not able to reach the accepted range for Spanish, in spite of statistically significant changes of p<.OOl by speakers in both groups of learners. A closer analysis of the speech samples revealed wide variability within the speech of native speakers of English. Not only is variability in English due to the wide range of VOT (120 msecs. for English labials, for example) but individual speakers showed different patterns. These results are revealing for the demands requied in experimental designs and the number of speakers and tokens requied for an adequate description of different languages. In addition, a simple report of means will not distinguish the speakers and the respective language learning situation; measurements must also include the RANGE of acceptability of VOT for phonetic segments. This has immediate consequences for the learning and teaching of foreign languages involving aspirated stops. In addition, the labelling of spoken language in speech technology is shown to be inadequate without a fuller mathematical description.

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