• Title/Summary/Keyword: 표본상관계수

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A Comparative Study on Tests of Correlation (상관계수에 대한 검정법 비교)

  • Cho, Hyun-Joo;Song, Myung-Unn;Jeong, Dong-Myung;Song, Jae-Kee
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.2
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    • pp.235-245
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    • 1996
  • In this paper, we studied about several methods of testing hypothesis of correlation, specially Approximate method, Empirical method and Bootstrap method. The Approximate method is based on the Fisher's Z-transformation and the Empirical and Bootstrap methods approximate the distribution of the sample correlation coefficient by Monte Carlo simulation and Bootstrap technique, respectively. In order to compare how good these tests are, we computed powers under various alternatives. Consequently, we see that the Approximate test performs very well even if in small sample and all tests have almost the same power in large sample.

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Optimal threshold using the correlation coefficient for the confusion matrix (혼동행렬의 상관계수를 이용한 최적분류점)

  • Hong, Chong Sun;Oh, Se Hyeon;Choi, Ye Won
    • The Korean Journal of Applied Statistics
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    • v.35 no.1
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    • pp.77-91
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    • 2022
  • The optimal threshold estimation is considered in order to discriminate the mixture distribution in the fields of Biostatistics and credit evaluation. There exists well-known various accuracy measures that examine the discriminant power. Recently, Matthews correlation coefficient and the F1 statistic were studied to estimate optimal thresholds. In this study, we explore whether these accuracy measures are appropriate for the optimal threshold to discriminate the mixture distribution. It is found that some accuracy measures that depend on the sample size are not appropriate when two sample sizes are much different. Moreover, an alternative method for finding the optimal threshold is proposed using the correlation coefficient that defines the ratio of the confusion matrix, and the usefulness and utility of this method are also discusses.

On the Relative Efficiency of Alternative Estimators in RHC Sampling Scheme

  • 홍기학;이기성;손창균
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.61-64
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    • 2004
  • 대규모 표본조사와 관련해서 관심변수와 보조변수간의 약한 상관관계를 고려한 Amahia et at.(1989)의 대체추정방법을 RHC(Rao, Hartley and Cochran)추출방법에 적용해서 Rao추정량과 효율성을 비교하였다.

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Investigation on the Correlation between the Housing and Stock Markets (주택시장과 주식시장 사이의 상관관계에 관한 연구)

  • Kim, Sang Bae
    • Korea Real Estate Review
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    • v.28 no.2
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    • pp.21-34
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    • 2018
  • The purpose of this study is to investigate the effect of macro-finance variables on the correlation between the housing and stock markets because understanding the nature of time-varying correlations between different assets has important implications on portfolio allocation and risk management. Thus, we adopted the AG-DCC GARCH model to obtain time-varying, conditional correlations. Our sample ranged from January 2004 to November 2017. Our empirical result showed that the coefficients on asymmetric correlation were significantly positive, implying that correlations between the housing and stock markets were significantly higher when changes in the housing price and stock returns were negative. This finding suggested that the housing market has less hedging potential during a stock market downturn, when such a hedging strategy might be necessary. Based on the regression analysis, we found that the term spread had a significantly negative effect on correlations, while the credit spread had a significantly positive effect. This result could be interpreted by the risk premium effect.

Generalized Composite Estimators and Mean Squared Errors for l/G Rotation Design (l/G 교체표본디자인에서의 일반화복합추정량과 평균제곱오차에 관한 연구)

  • 김기환;박유성;남궁재은
    • The Korean Journal of Applied Statistics
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    • v.17 no.1
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    • pp.61-73
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    • 2004
  • Rotation sampling designs may be classified into two categories. The first type uses the same sample unit for the entire life of the survey. The second type uses the sample unit only for a fixed number of times. In both type of designs, the entire sample is partitioned into a finite number(=G) of rotation groups. This paper is generalization of the first type designs. Since the generalized design can be identified by only G rotation groups and recall level 1, we denote this rotation system as l/G rotation design. Under l/G rotation design, variance and mean squared error (MSE) of generalized composite estimator are derived, incorporating two type of biases and exponentially decaying correlation pattern. Compromising MSE's of some selected l/G designs, we investigate design efficiency, design gap effect, ans the effects of correlation and bias.

Cross Correlations between Probability Weighted Moments at Each Sites Using Monte Carlo Simulation (Monte Carlo 모의를 이용한 지점 간 확률가중모멘트의 교차상관관계)

  • Shin, Hong-Joon;Jung, Young-Hun;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.42 no.3
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    • pp.227-234
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    • 2009
  • In this study, cross correlations among sample data at each site are calculated to obtain the asymptotic cross correlations among probability weighted moments at each site using Monte Carlo simulation. As a result, the relations between the asymptotic cross correlations among probability weighted moments and the inter-site dependence among sample data at each site are nearly a linear relation with slope 1. The smaller ratio of concurrent data size to entire sample size is, the weaker the relationship grows. Simple power function which the correction term in power function accounts for the differences of the sample size between two sites was fitted to each case to estimate the parameter. It is noted that this result can be used in the various researches which include the estimation of the variance of quantile considering cross correlations.

A Study on Estimation of Probability Plot Correlation Coefficient Considering the Skewness for GLO distribution (GLO분포를 대상으로 왜곡도 계수를 고려한 확률도시 상관계수 검정통계량 추정)

  • Ahn, Hyunjun;Shin, Hongjoon;Kim, Sooyoung;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.39-39
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    • 2015
  • 극치 수문(Hydrologic extremes)분야에서는 수문자료의 분포에 따라 Gumbel, GEV, 그리고 GLO 분포와 같은 다양한 확률통계 분포형이 존재한다. GEV와 GLO 분포형의 경우 Gumbel 분포형과 달리 형상매개변수가 포함된 3변수 분포형으로써 이상 기후 현상으로 인한 잦은 극치 수문사상을 표현하는데 좀 더 유연한 것으로 알려져 있다. 특히 GLO 분포형의 경우 영국에서 홍수빈도해석 시 적정분포형으로 선정된바 있다(Institute of Hydrology, 1999). 다양한 분포형 중에서 표본 자료를 대표할 수 있는 분포형을 선정하는 통계적 기법이 적합도 검정이다. 적합도 검정에는 $x^2$-검정, Cramer von-Mises 검정, Kolmogorov-Smirnov 검정, PPCC(probability plot correlation coefficient, 확률도시 상관계수)검정 등이 있으며 그 중 PPCC 검정은 이용방법이 간편하면서도 뛰어난 기각능력을 보이는 것으로 알려져 있다. 본 연구에서는 극치 수문분야에서 널리 이용되고 있는 GLO 분포형을 대상으로 자료의 왜곡도 영향을 고려할 수 있는 확률도시 상관계수 검정의 검정통계량을 추정하여 보았다.

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A study on design effect models for complex sample survey (설계효과모형 적용에 관한 연구)

  • Park, Inho
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.523-531
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    • 2014
  • Design effect is often used in designing and planning sample surveys and/or in evaluating the efficiency of complex design features of the surveys. In this study, we applied Gabler et al. (2006)'s design effect model to 2013 Consumer behavior survey for food that was carried out by stratified two-stage sampling. Usability and adequacy of the design model to a real survey data are discussed and evaluated.

Fuzzy Testing of Independence in Bivariate Normal Distribution (2변량 정규분포의 독립성에 관한 퍼지 검정)

  • Kang, Man-Ki;Seo, Hyun-A
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.1
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    • pp.1-5
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    • 2011
  • We furnished some properties of fuzzy testing of independence for correlation in a bivariate normal distribution by agreement index. First we present some restriction of the fuzzy data, define fuzzy sample correlation coefficient and agreement index for testing hypothesis with acceptance or rejection degree. Also, we show that UMP unbiased fuzzy test and drawing conclusions the fuzzy test.

Efficient Estimation of Regression Coefficients in Regression Model with Moving Average Process (오차항이 이동평균과정을 따르는 회귀모형에서 회귀계수의 효율적 추정에 관한 연구)

  • 송석현;이종협;김기환
    • The Korean Journal of Applied Statistics
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    • v.12 no.1
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    • pp.109-124
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    • 1999
  • 일반적으로 오차항이 자기상관되어 있는 선형회귀 모형에서는 회귀계수에 대한 보통최소제곱추정량이 효율적이지 못 하다고 알려져 있다. 그러나 이러한 일반화선형회귀모형에서 독립변수의 형태에 따라서는 OLSE의 사용 가능성을 제시하는 모형이 있다. 본 연구에서는 오차항이 일차 이동평균 과정을 따르는 선형회귀모형에서 여러 추정량들 (GLSE, APX, MAPX)에 대한 OLSE의 상대효율함수를 유도하고 비교 분석하고자 한다. 특히 소표본에서 정확한 상대효율값을 구하여 OLSE의 효율성이 크게 떨어지지 않거나 효율성이 나은 회귀모형들을 제시한다.

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