• 제목/요약/키워드: Student's-t Statistic

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Edgeworth and Cornish-Fisher Expansion for the Non-normal t

  • Hwang, Hark
    • Journal of the Korean Statistical Society
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    • 제7권1호
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    • pp.3-10
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    • 1978
  • Let $X_i,...,X_n$ be a random sample from a distribution with cumulants $K_1, K_2,...$. The statistic $t = \frac{\sqrt{x}(\bar{X}-K_1)}{S}$ has the well-known 'student' distribution with $\nu = n-1$ degrees of freedom if the $X_i$ are normally distributed (i.e., $K_i = 0$ for $i \geq 3$). An Edgeworth series expansion for the distribution of t when the $X_i$ are not normally distributed is obtained. The form of this expansion is Prob $(t

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Optimal EEG Feature Extraction using DWT for Classification of Imagination of Hands Movement

  • Chum, Pharino;Park, Seung-Min;Ko, Kwang-Eun;Sim, Kwee-Bo
    • 한국지능시스템학회논문지
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    • 제21권6호
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    • pp.786-791
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    • 2011
  • An optimal feature selection and extraction procedure is an important task that significantly affects the success of brain activity analysis in brain-computer interface (BCI) research area. In this paper, a novel method for extracting the optimal feature from electroencephalogram (EEG) signal is proposed. At first, a student's-t-statistic method is used to normalize and to minimize statistical error between EEG measurements. And, 2D time-frequency data set from the raw EEG signal was extracted using discrete wavelet transform (DWT) as a raw feature, standard deviations and mean of 2D time-frequency matrix were extracted as a optimal EEG feature vector along with other basis feature of sub-band signals. In the experiment, data set 1 of BCI competition IV are used and classification using SVM to prove strength of our new method.

간호학생의 병원감염관리에 대한 지식, 태도 및 자신감 (Knowledge, Attitude and Self-Confidence of Student Nurses Regarding Nosocomial Infection Control)

  • 박영례
    • 기본간호학회지
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    • 제14권4호
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    • pp.429-436
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    • 2007
  • Purpose: This study was conducted to identify the knowledge, attitude and self-confidence of student nurses regarding control of nosocomial infections and to provide data for preparation of an efficient policy and education program regarding nosocomial infections. Method: A descriptive survey design was utilized, and, using a questionnaire, which included 15 items for knowledge, 81 items for attitude, 81 items for self-confidence, data were collected from 520 student nurses. Descriptive statistic, t-test, one-way ANOVA and Pearson's correlation coefficients, and Stepwise multiple regression analysis were used with SPSS win 12.0 to analyze the data. Results: The mean score for knowledge was 0.63, for attitude, 4.38 and for self-confidence, 3.50. There was a significant positive correlation between knowledge, attitude and self-confidence in control of nosocomial infections. Attitude, practical attitude, and education were significant factors affecting self-confidence regarding nosocomial infection control. Conclusion: These research findings should be useful in promoting continuous and repeated educational programs on nosocomial infection for student nurses.

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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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The Cumulants of the Non-normal t Distribution

  • Hwang, Hark
    • Journal of the Korean Statistical Society
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    • 제5권2호
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    • pp.91-100
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    • 1976
  • The use of the statistic $t = \sqrt{n} (x-\mu)/S$, where $\bar{X) = \sum X_i/n, \mu = E(X_i), S^2 = \sum(X_i-\bar{X})^2/(n-1)$ in statistical inference is usually done under the assumption of normality of the population. If the population is not normally distributed the tabulated values of student t are no longer valid. The moments of t are obtained as a power series in $1/\sqar{n}$ whose coefficients are functions of the cumulants of X. The cumulants are obtained from the moments in the usual manner. The first eight cumulants of t are given up to terms of order $1/n^3$. The first eight cumulants of t are given up to terms of order $1/n^3$. These results extend those of Geary who gave the first six cumulants of t to order $1/n^2$.

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초등학교 고학년을 위한 부모참여 성교육 프로그램 효과 (Effects of a Parent-Involvement Sex Education Program for High Primary-School Graders)

  • 엄진숙
    • 한국보건간호학회지
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    • 제18권1호
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    • pp.143-153
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    • 2004
  • The study tried to develop a parent-involvement sex education program and find out its effects for more effective sex education methods for high graders of a primary school. The subjects were recruited from 5 classes of 6th graders in Y Primary School in N city, Kyeonggido province, South Korea. Data collection was done from October 4, 2003 to November 7. The experimental group consisted of 43 students from 3 classes with the help from class teachers and parents' involvement in the program. The control group consisted of 43 students randomly sampled by computer from the other two classes. For the experimental methods, the experimental group was given a parent-involvement sex education program as well as a student sex education program: the control group only received the student sex education program. The results were analyzed according to frequency, percentage, $x^2$-test, fisher's exact test and t-test using SAS program. As a result of the homogeneity test, both the groups proved to be the same (t=-0.29 p=0.77, t=0.49 p=0.62) in preliminary sex-attitude and sex-related communication frequency score. But the two group showed meaningful differences (t=2.52 p=0.01, t=2.04, p=0.04) in preliminary sex-knowledge and sex-related communication quality score. After the sex education programs, the two groups didn't show meaningful statistic differences(t=-0.42 p=0.68, t=1.57 p=0.12) in preliminary sex-knowledge and sex-related communication quality score. But the experimental group was statistically more meaningful (t=2.16 p=0.03, t=4.86 p<0.0001) in the difference of sex attitude and sex-related communication frequency than the control. The parent-involvement sex education program developed in this study was more effective for improving their sex attitude and for increasing the frequency of their sex-related communication with parents than the existing student program. Therefore, for sex education, it's necessary to develop and spread various programs where parents can be involved.

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무선재추출법에 기초한 사건관련전위 자료분석에 대한 탐색적 고찰 (An Exploratory Observation of Analyzing Event-Related Potential Data on the Basis of Random-Resampling Method)

  • 현주석
    • 감성과학
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    • 제20권2호
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    • pp.149-160
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    • 2017
  • 가설검증 과정에서 자료 분석 결과 산출된 통계치에 대한 해석은 몇 가지 통계학적 이론을 토대로 분석 결과 산출된 관련 통계치의 이론적 확률 분포에 의해 좌우된다. 예를 들어 실험 조건 간 측정치의 평균 차이에 대한 통계적 유의미성은 대개 전집 특성에 대한 몇 가지 이론적 가정에 기초해 구성된 해당 평균 차이값의 확률 분포(예: Student's t)에 기초해 결정된다. 본 연구는 이러한 이론적 통계치의 분포가 아닌 실측정 자료의 무선 재구성을 통해 얻어진 경험적 통계치의 분포에 기초해 가설 검증을 시도하는 무선재추출법의 기본 논리와 장점을 살펴보고 사건관련전위 분석 상황에서의 응용 가능성을 모색하였다. 더 나아가 무선 추출 원리에 기초한 무선치환법이 적용된 구체적 사례를 소개하고 ERP 자료 분석에 있어서 경험적 통계 분석 적용에 앞서 유의할 점을 살펴봄으로써 뇌파 연구자들의 무선재추출법에 대한 정확한 이해를 도모하였다.

Improved Statistical Testing of Two-class Microarrays with a Robust Statistical Approach

  • Oh, Hee-Seok;Jang, Dong-Ik;Oh, Seung-Yoon;Kim, Hee-Bal
    • Interdisciplinary Bio Central
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    • 제2권2호
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    • pp.4.1-4.6
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    • 2010
  • The most common type of microarray experiment has a simple design using microarray data obtained from two different groups or conditions. A typical method to identify differentially expressed genes (DEGs) between two conditions is the conventional Student's t-test. The t-test is based on the simple estimation of the population variance for a gene using the sample variance of its expression levels. Although empirical Bayes approach improves on the t-statistic by not giving a high rank to genes only because they have a small sample variance, the basic assumption for this is same as the ordinary t-test which is the equality of variances across experimental groups. The t-test and empirical Bayes approach suffer from low statistical power because of the assumption of normal and unimodal distributions for the microarray data analysis. We propose a method to address these problems that is robust to outliers or skewed data, while maintaining the advantages of the classical t-test or modified t-statistics. The resulting data transformation to fit the normality assumption increases the statistical power for identifying DEGs using these statistics.

대학생의 헌혈에 대한 지식, 인식수준에 따른 헌혈행태 (Association between Knowledge, Attitude, and Practice Regarding Blood Donation in University Students)

  • 김정현;윤중수
    • 한국콘텐츠학회논문지
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    • 제15권10호
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    • pp.316-326
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    • 2015
  • 본 연구는 대학생의 헌혈지식, 헌혈인식, 헌혈태도간의 관련성을 살펴보고, 헌혈 촉진 및 저해 요인을 파악하여 헌혈 참여 확대 방안을 모색하는 것이다. 자료는 2014년 12월 8일부터 12일까지 국내 두 개 대학교의 보건계열 20대 대학생 272명을 대상으로 헌혈지식, 헌혈인식, 헌혈경험에 관한 구조화된 자기기입식 설문지를 이용하여 수집되었다. 분석방법은 Pearson correlation test, t-test, descriptive statistics를 실시하였다. 주요 연구결과는 다음과 같다. 첫째, 현혈인식이 긍정적일수록 헌혈횟수가 증가하는 것으로 나타났다(P <.05). 둘째, 보건계열 전공생과 비보건계열 전공생 집단 간 헌혈지식(P<.01)과 헌혈인식(P<.05)에 차이가 있었다. 셋째, 헌혈경험자가 헌혈비경험자에 비해 헌혈 참여의도가 높았다(P<.01). 분석 결과를 토대로 20대 대학생의 헌혈을 장려하기 위해서는 미디어 홍보를 통한 헌혈인식 개선과 헌혈에 대한 보상을 강화하는 방법이 효과적일 것이라 제언한다.

BAYESIAN HIERARCHICAL MODEL WITH SKEWED ELLIPTICAL DISTRIBUTION

  • Chung, Youn-Shik;Dipak K. Dey;Yang, Tae-Young;Jang, Jung-Hoon
    • Journal of the Korean Statistical Society
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    • 제32권4호
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    • pp.425-448
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    • 2003
  • Meta-analysis refers to quantitative methods for combining results from independent studies in order to draw overall conclusions. We consider hierarchical models including selection models under a skewed heavy tailed error distribution proposed originally by Chen et al. (1999) and Branco and Dey (2001). These rich classes of models combine the information of independent studies, allowing investigation of variability both between and within studies, and incorporate weight function. Here, the testing for the skewness parameter is discussed. The score test statistic for such a test can be shown to be expressed as the posterior expectations. Also, we consider the detail computational scheme under skewed normal and skewed Student-t distribution using MCMC method. Finally, we introduce one example from Johnson (1993)'s real data and apply our proposed methodology. We investigate sensitivity of our results under different skewed errors and under different prior distributions.