• 제목/요약/키워드: t3 statistic

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An Influence Measure in Comparing Two Population Means

  • Bae, Whasoo
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.659-666
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    • 1999
  • In comparing two population means, the test statistic depends on the sample means and the variances, which are very sensitive to the extremely large or small values. This paper aims at examining the behavior of such observations using proper criterion which can measure the influence of them. We derive a computationally feasible statistic which can detect influential observations on the two-sample t-statistic.

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GM 고추의 환경위해성 평가 프로토콜 작성을 위한 농업적 형질 분석 (Analysis of Agricultural Characters to Establish the Evaluating Protocol and Standard Assessment for Genetically Modified Peppers)

  • 조동욱;정규환
    • 한국환경과학회지
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    • 제20권9호
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    • pp.1183-1190
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    • 2011
  • This study was aimed to establish the evaluating protocol and standard assessment for genetically modified (GM) hot pepper and to find out a proper statistic method to analyze for equality of agricultural characters between GM and non-GM pepper lines. GM and non-GM hot pepper lines were cultivated in two GMO fields in the middle region of Korea and total of 52 agricultural characters were collected during the plant growing season for 4 years, 2007 to 2010. Levene's test was conducted to confirm the homogeneity of raw data before statistic analysis. Two-way ANOVA in the multivariate tests and t-test were conducted to analyze 52 agricultural characters in order to find out the equality between H15 and P2377. From the statistical analysis through two-way ANOVA, 16 out of 16 plant growth traits, 9 out of 18 green fruit traits and 7 out of 18 red fruit traits among 4 years and 9 out of 16 plant growth traits, 4 out of 18 green fruit traits and 3 out of 18 red fruit traits between H15 and P2377 have shown the statistic differences. With the same raw data of 52 agricultural characters, t-test was also conducted. Based on the result from t-test, only 1 out of 16 plant growth traits, 2 out of 18 green fruit traits and 1 out of 18 red fruit traits have shown the differences between H15 and P2377, so that it was concluded that there is no statistic difference between H15 and P2377 in terms of agricultural characters. Also, the t-test is a proper statistic method to analyze each trait between GM and its control lines in order to evaluate agricultural characters.

GOODNESS-OF-FIT TEST USING LOCAL MAXIMUM LIKELIHOOD POLYNOMIAL ESTIMATOR FOR SPARSE MULTINOMIAL DATA

  • Baek, Jang-Sun
    • Journal of the Korean Statistical Society
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    • 제33권3호
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    • pp.313-321
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    • 2004
  • We consider the problem of testing cell probabilities in sparse multinomial data. Aerts et al. (2000) presented T=${{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2$ as a test statistic with the local least square polynomial estimator ${{p}_{i}}^{*}$, and derived its asymptotic distribution. The local least square estimator may produce negative estimates for cell probabilities. The local maximum likelihood polynomial estimator ${{\hat{p}}_{i}}$, however, guarantees positive estimates for cell probabilities and has the same asymptotic performance as the local least square estimator (Baek and Park, 2003). When there are cell probabilities with relatively much different sizes, the same contribution of the difference between the estimator and the hypothetical probability at each cell in their test statistic would not be proper to measure the total goodness-of-fit. We consider a Pearson type of goodness-of-fit test statistic, $T_1={{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2/p_{i}$ instead, and show it follows an asymptotic normal distribution. Also we investigate the asymptotic normality of $T_2={{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2/p_{i}$ where the minimum expected cell frequency is very small.

Hotelling의 T-square 통계량을 이용한 강우유발 사면붕괴 예측 (Prediction of Rainfall-Induced Slope Failure Using Hotelling's T-Square Statistic)

  • 김슬비;나종화;서용석
    • 지질공학
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    • 제25권3호
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    • pp.331-337
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    • 2015
  • 본 연구에서는 화강암 풍화토와 편마암 풍화토를 대상으로 모형시험 수행 중 획득한 간극수압, 함수비 데이터를 대상으로 Hotelling의 T2 분석을 실시하여 사면의 이상거동을 감지할 수 있는 기법을 개발하였다. 각 시험에서는 간극수압 3개와 함수비 3개가 동시에 측정되며, 이들의 상관관계를 이용하여 신뢰구간 95.0%와 90.0%를 기준으로 T2 통계량을 계산하였다. 분석결과에 의하면 모형사면 내의 국부적인 붕괴는 센서 위치에 따라 감지하지 못하는 경우가 있으며, 사면 전체붕괴의 경우 수백 초에서 수천 초 전에 T2 통계량이 신뢰구간 90%를 초과하여 이상거동을 감지할 수 있었다. Hotelling의 T2 분석은 동일 사면 내 다양한 측정치 간의 상관성을 분석할 수 있어 유일한 관리기준치를 설정할 수 있으며, 신뢰도 수준에 따라 단계적인 예경보 기준설정이 가능하다.

INTUITIONISTIC FUZZY (t, s)-CONGRUENCES

  • Ahn Tae-Chon;Hur Kul;Roh Seok-Beom
    • 한국지능시스템학회논문지
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    • 제16권3호
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    • pp.357-366
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    • 2006
  • We introduce the notion of intuitionistic fuzzy (t, s)-congruences on a lattice and study some of its properties. Moreover, we obtain some properties of intuitionistic fuzzy congruences on the direct product of two lattices. Finally, we prove that the set of all intuitionistic fuzzy congruences on a lattice forms a distributive lattice.

침습, 비침습 혈관레이저에 의한 고콜레스테롤혈증의 치료 효과 환자 유형별 비교 (A Study of Classified Comparison between Intravascular Laser Irradiation Therapy(ILIT) and Extravascular Laser Irradiation Therapy(ELIT) on Hypercholesterolemia)

  • 권미정;김민규;허성웅;윤현민;김원일;권정남;김영균
    • 대한약침학회지
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    • 제9권2호
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    • pp.141-154
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    • 2006
  • Objective : The purpose of this study was to compare and analyze the effect of ILIT and ELIT according to sex, age, disease on Hypercholesterolemia. Methods : The 73 patients who were irradiated to the Intravascular Laser and the 57 patients who were irradiated to the Extravascular Laser from 1999 to 2005 in Sam-se oriental medicine hospital were the study group. They were irradiated two or three times a week and checked total cholesterol before and after ten times of irradiation. The checked total cholesterol point, 150-199 were normal, 200-239 were borderline, over 240 were abnormal. They were classified into male and female(43 persons, 87 persons), adult and 01d(62 persons, 68 persons), cardiovascular disease and the other diseases(70 persons, 60 persons). Results : 1. Male, adult, and the other diseases groups were more effective in cholesterol reduction and in convertible change of each group than female, old, and cardiovascular disease groups, but only the convertible change of each group had statistic significance. 2. In male, old, and cardiovascular disease, ELIT was more effective than ILIT in cholesterol reduction and convertible change of each group, but this result didn't have statistic significance. 3. In female, ELIT was more effective than ILIT in cholesterol change but this result didn't have statistic significance. ILIT was more effective than ELIT in convertible change of each group and this result had statistic significance. 4. In adult and the other diseases, ILIT was more effective in cholesterol reduction, but this result didn't have statistic significance. ILIT was more effective than ELIT in convertible change of each group too and this result had statistic significance. Conclusion: It was thought to be undesirable to decide which is more effective treatment, but to be more desirable to choose one of ILIT or ELIT according to sex, age, disease than to decide it indiscriminately.

적외선 체열진단을 이용한 구안와사 환자(Bell's palsy)의 호전기간에 대한 임상연구 (Clinical study on the improving period of the bell's palsy patients with D.I.T,I)

  • 박용호;유미경;박윤희;박수연;최정화;김종한;김대수
    • 한방안이비인후피부과학회지
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    • 제19권2호
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    • pp.202-211
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    • 2006
  • Objectives : This study is designed to evaluate correlation between the data of D.I.T,I examination in Bell's palsy and the improving period. Methods : This study researched into the clinical statistics for 50 patients who are in Bell's palsy and they are treated with oriental medical care of Dongshin university during 18months from January 1, 2005 to June 1, 2006. The data which examinated by D.I.T.I, are the thermal difference of normal and abnormal site of acupuncture int Gl4 BL2 GB3 S3 S4 S6 TE17 in Bell's palsy. Result : There was statistic significance between thermal difference of normal, abnormal site and the improving period. The period was shorter in normal thermal pattern than hypothermal pattern, hyperthermal pattern. Conclusion : According to the result, there was a statistic significance that more thermal difference and more difficult to recover in Bell's palsy.

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종양 이질성을 검정을 위한 통계적 방법론 연구 (Statistical methods for testing tumor heterogeneity)

  • 이동녘;임창원
    • 응용통계연구
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    • 제32권3호
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    • pp.331-348
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    • 2019
  • 전이성 종양의 성장패턴 차이와 변화율에 따른 종양 이질성(tumor heterogeneity)을 파악하는 것은 종양세포의 약물에 대한 민감성을 파악하고 적절한 치료법을 찾아내기 위해 중요하다. 일반적으로 N개의 표본의 집단이 구분된다면 t-test 혹은 ANOVA 분석을 통해 집단별 평균의 차이에 대한 검정이 가능하다. 그러나 본 논문에서 다루는 데이터와 같이 집단이 구분되지 않는 경우 이러한 방법들은 사용될 수 없다. 표본들 사이의 이질성을 검정하기 위한 통계적 방법들이 연구되어 왔다. 최소 조합 t-검정 방법은 그 중 하나이다. 본 논문에서는 상이한 비율로 데이터를 양분하는 조합도 고려하는 최대 조합 t-검정 방법을 제안한다. 한편, 표본의 이질성을 검정하는 것이 군집분석에서 최적의 군집의 개수가 2개 이상인지를 검정하는 것과 같음에 착안하여 새로운 방법을 제안한다. 최대 조합 t-검정과 gap통계량을 이용하면 이전에 제안된 방법보다 개선된 제1종의 오류를 범할 확률과 검정력을 갖는다는 것을 모의실험을 통해 확인하였고 실제 자료 분석을 통해 결과를 도출하였다.

빠른 젖물리기 프로그램이 모유수유 실천율에 미치는 영향 (Influence of an Early Latching-on Program on the Breastfeeding Rate)

  • 김보열;김진현
    • Perspectives in Nursing Science
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    • 제10권2호
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    • pp.97-110
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    • 2013
  • Purpose: This study sought to identify how initiating breastfeeding soon after birth affected breastfeeding practice. Methods: The subjects were mothers and newborns in Seoul's S. University Hospital maternity unit who elected to breastfeed. They were divided into an experimental group, which practiced an "early latching-on program" (latching-on within 30 minutes after birth), and a control group, which did not. Both groups' daily frequencies of breastfeeding and supplementary-glucose or bottle feeding were recorded. Results: The correlation between socio-demographic and medical characteristics and the breastfeeding rate was examined; 3 variables showed statistical significance: neonatal health anomaly, Apgar score after 1 minute, and Apgar score after 5 minutes. The difference in breastfeeding rates between the two groups was clear: the experimental group's rate was 1.93, while the control group's was 3.76 (t-statistic difference: 14.865), with the experimental group's rate during hospitalization being twice that of the control group (73.3% and 32.6%, respectively). Multiple regression analysis assessing the influence of the latching-on program yielded a t-statistic of -4.735 and a p-value of .000, indicating statistical significance. Conclusion: An early latching-on program's positive effect on the breastfeeding practice of mother's of newborns was demonstrated. Therefore, an early latching-on program could be a practical and effective nursing intervention for after mothers give birth.

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