• The Korean Journal of Applied Statistics
• /
• v.22 no.2
• /
• pp.237-248
• /
• 2009

The probability of default on the credit evaluation study is represented as a linear combination of two distributions of default and non-default, and the distribution of the probability of default are generally known in most cases. Except the well-known Kolmogorov-Smirnov statistic for testing the identity of two distribution, Kuiper, Cramer-Von Mises, Anderson-Darling, and Watson test statistics are introduced in this work. Under the assumption that the population distribution is known, modified Cramer-Von Mises, Anderson-Darling, and Watson statistics are proposed. Based on score data generated from various probability density functions of the probability of default, the modified test statistics are discussed and compared.

• Journal of the Korea Society of Computer and Information
• /
• v.27 no.6
• /
• pp.167-174
• /
• 2022

In this paper we investigate the permutation test for the equality of correlation coefficients in several independent populations. Permutation test is a non-parametric testing methodology based upon the exchangeability of observations. Exchangeability is a generalization of the concept of independent, identically distributed random variables. Using permutation method, we may construct asymptotically exact test. This method is asymptotically as powerful as standard parametric tests and is a valuable tool when the sample sizes are small and normality assumption cannot be met. We first review existing parametric approaches to test the equality of correlation coefficients and compare them with the permutation test. At the end, all the approaches are illustrated using Iris data example.

• The Korean Journal of Applied Statistics
• /
• v.23 no.3
• /
• pp.585-594
• /
• 2010

This study, investigates the effects of dispersion parameters between two response variables in zero-truncated bivariate generalized Poisson distributions. A Monte Carlo study shows that the zero-truncated bivariate Poisson and negative binomial models fit poorly wherein the zero-truncated bivariate count data has heterogeneous dispersion parameters on dependent variables. In addition, we derive the score test for testing the equality of the dispersion parameters and compare its efficiency with the likelihood ratio test.

• The Journal of the Korea Contents Association
• /
• v.20 no.3
• /
• pp.41-48
• /
• 2020

The purpose of this study is testing measurement invariance of the school vitality scale across the level of school. For this study, 3,156 elementary school teachers and 4,411 secondary school teachers were surveyed. As a result, school vitality scale was found to have the same factor structure in the structure regression model. Second, the factor load of the measurement model was found to be the same. Third, the structural path coefficients were the same. Fourth, structural covariance was found to be the same. Fifth, the structural residuals were the same. Based on these findings, it can be concluded that we can use school vitality scale both elementary school and secondary school. This study will contribute to diagnosing school vitality levels and finding ways to improve school management.

• The Korean Journal of Applied Statistics
• /
• v.23 no.5
• /
• pp.845-855
• /
• 2010

Extensively used case-control designs in medical studies can also be powerful and efficient for family association studies as long as an analysis method is developed for the evaluation of association between candidate genes and disease. Traditional Cochran-Armitage trend test is devised for independent subjects data, and to apply this trend test to the biologically related siblings one has to take into account the covariance among related family members in order to maintain the correct type I error rate. We propose a more powerful trend test by introducing weights that reflect the number of affected siblings in families for the evaluation of the association of genetic markers related to the disease. An application of our method to a sample family data, in addition to a small-scale simulation, is presented to compare the weighted and unweighted trend tests.

• Journal of Korea Water Resources Association
• /
• v.46 no.3
• /
• pp.219-227
• /
• 2013

Time series data including change, jump, trend and periodicity generally have nonstationarity. Especially, various methods have been proposed to identify the trend about hydrological time series data. However, among various methods, evaluation about capability of each trend test has not been done a lot. Even for the same data, each method may show the different result. In this study, the simulation was performed for identification about the changes in trend analysis according to the statistical characteristics and the capability in the trend analysis. For this purpose, power test for the trend analysis is conducted using Men-Kendall test, Hotelling-Pabst test, t test and Sen test according to the slope, sample size, standard deviation and significance level. As a result, t test has higher statistical power than the others, while Mann-Kendall, Hotelling-Pabst, and Sen tests were similar results.

• Journal of the Korean Data and Information Science Society
• /
• v.14 no.2
• /
• pp.247-255
• /
• 2003

Hypothesis testing for the equality of two distributions were considered. Nonparametric kernel density estimates were used for testing equality of distributions. Cross-validatory choice of bandwidth was used in the kernel density estimation. Sampling distribution of considered test statistic were developed by resampling method, called the bootstrap. Small sample Monte Carlo simulation were conducted. Empirical power of considered tests were compared for variety distributions.

• The Korean Journal of Applied Statistics
• /
• v.21 no.6
• /
• pp.1065-1075
• /
• 2008

For the model validation of credit rating models, Kolmogorov-Smirnov(K-S) statistic has been widely used as a testing method of discriminatory power from the probabilities of default for default and non-default. For the credit rating works, K-S statistics are to test two identical distribution functions which are partitioned from a distribution. In this paper under the assumption that the distribution is known, modified K-S statistic which is formulated by using known distributions is proposed and compared K-S statistic.

• The Korean Journal of Financial Management
• /
• v.14 no.2
• /
• pp.273-312
• /
• 1997

본 연구는 우리나라의 실제 일별 주식수익률 자료를 이용한 시뮬레이션을 통해 우리나라 주식시장에 가장 적합한 사건연구방법론을 도출하고자 하였다. 이를 위해, 1980년에서부터 1995년까지 우리나라 주식시장에 상장된 675개 주식을 대상으로 무작위 복원추출 방법에 의해 50개의 개별주식으로 구성된 250개 표본을 선정하였다. 이들 250개 표본을 이용하여 시뮬레이션 기법에 의해 다양한 사건연구 모형의 통계적 오류와 검정력에 미치는 영향을 종합적으로 분석하였다. 시뮬레이션 실험 결과에 의하면, 먼저 사건일을 정확히 포착할 수 있는 경우에는 산업별주가지수를 시장지수로 선택한 시장모형 혹은 시장조정모형으로 초과수익률을 측정하고, 횡단면 독립성을 가정한 검정법이 가장 우수한 사건연구방법으로 나타났다. 한편, 사건일을 정확하게 포착할 수 없는 경우에는, 동일가중지수를 시장지수로 선택한 시장모형 혹은 시장조정모형으로 초과수익률을 측정하고, 횡단면 독립성을 가정한 검정법이 가장 적합한 모형으로 나타났다. 그리고, 사건일 집중현상으로 인한 제1종 오류를 감소시키는 데에는 개별주식의 초과수익률 간의 횡단면 독립성을 가정한 검정법보다는 횡단면 중속성을 조정한 검정법을 사용하는 것이 더욱 효과적이다.

• Journal of Korean Society of Transportation
• /
• v.17 no.1
• /
• pp.113-129
• /
• 1999

It is widely recognized that the value of travel time (VOT) plays an important role both in choosing the transportation alternatives on an individual level, and in analyzing and evaluating transportation plans and other public policy makings on a collective level. There is, however, a great deal of difficulties to correctly estimate the VOT. In addition, although there are lots of methods to estimate the VOT so for, not many recommendations have been presented to reflect the localities associated with the VOT derivation in Korea. This study aims at deriving the VOT for different trip purposes and travel modes with their significances tested. To accomplish this purposes, a logit-based travel mode choice model based on revealed preference (RP) data has been formulated, calibrated using the discrete choice model of LIMDEP package for various trip purpose models. For each trip purpose and travel mode, the VOT has been calculated along with the significance testing of the derived VOTs. From the results given in this research, the VOTs for different purposes and modes are identified different, and they are statistically significant. The updated results here in this paper may be a yardstick in evaluating the transportation plans and policies by providing more detailed VOT information for different categories, especially in urban context.