• Title/Summary/Keyword: Goodness-of-Fit

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Comparison of Analytical Bond Models between Reinforcement and Concrete (보강근과 콘크리트 사이의 해석적 부착모델 비교)

  • You Young Jun;Park Ji Sun;Park Young Hwan;Kim Hyeong Yeol;You Young Chan;Kim Keung Hwan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.11a
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    • pp.33-36
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    • 2005
  • This paper presents the comparison of the goodness-of-fit test of analytical bond models between concrete and steel or GFRP reinforcements. Bond test specimens were made by the CSA code and the rebars used in the test were steel and two kinds of GFRP rebar commercially utilized. The comparison of goodness-of-fit test for existing bond models and new proposed bond model was carried out by the least squares method. The result indicates that the new proposed bond model has better goodness-of-fit test than the existing ones.

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Kullback-Leibler Information of the Equilibrium Distribution Function and its Application to Goodness of Fit Test

  • Park, Sangun;Choi, Dongseok;Jung, Sangah
    • Communications for Statistical Applications and Methods
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    • v.21 no.2
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    • pp.125-134
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    • 2014
  • Kullback-Leibler (KL) information is a measure of discrepancy between two probability density functions. However, several nonparametric density function estimators have been considered in estimating KL information because KL information is not well-defined on the empirical distribution function. In this paper, we consider the KL information of the equilibrium distribution function, which is well defined on the empirical distribution function (EDF), and propose an EDF-based goodness of fit test statistic. We evaluate the performance of the proposed test statistic for an exponential distribution with Monte Carlo simulation. We also extend the discussion to the censored case.

A Goodness-Of-Fit Test for Adaptive Fourier Model in Time Series Data

  • Lee, Hoonja
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.955-969
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    • 2003
  • The classical Fourier analysis, which is the typical frequency domain approach, is used to detect periodic trends that are of the sinusoidal shape in time series data. In this article, using a sequence of periodic step functions, describes an adaptive Fourier series where the patterns may take general periodic shapes that include sinusoidal as a special case. The results, which extend both Fourier analysis and Walsh-Fourier analysis, are applies to investigate the shape of the periodic component. Through the real data, compare the goodness-of-fit of the model using two methods, the adaptive Fourier method which is proposed method in this paper and classical Fourier method.

The Goodness of Fit between Mother′s and Child′s Personality, Maternal Childrearing Behaviors, and Children′s Self-esteem and Emotional Intelligence (모-자녀 성격조화유형에 따른 어머니 양육행동과 아동의 자아존중감 및 정서지능)

  • 박영애;최영희;박인전
    • Journal of Families and Better Life
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    • v.22 no.4
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    • pp.29-41
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    • 2004
  • The patterns of mother-child personality match were investigated in the study. Further, the impact of goodness-of-fit between mother′s and child′s personality on maternal childrearing behaviors, child′s self-esteem, and child′s emotional intelligence was explored. The participants of this study were 1,060 fifth graders and their mothers from four different cities(Seoul. Suwon, Daejon, and Daegu). Six patterns of mother-child personality match were derived through cluster analysis and discriminant analysis. The most harmonious pattern in which maternal childrearing behavior was positive and child′s self-esteem and emotional intelligence were high appeared between mothers and children with high "stability" and "superiority" The least harmonious pattern was shown for the mothers with low "responsibility" and "reflectiveness" and high "dominance′and "sociability", and the children with low "stability" and "superiority".

A Goodness-of-Fit Test for the Additive Risk Model with a Binary Covariate

  • Kim, Jin-Heum;Song, Moon-Sup
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.537-549
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    • 1995
  • In this article, we propose a class of weighted estimators for the excess risk in additive risk model with a binary covariate. The proposed estimator is consistent and asymptotically normal. When the assumed model is inappropriate, however, the estimators with different weights converge to nonidentical constants. This fact enables us to develop a goodness-of-fit test for the excess assumption by comparing estimators with diffrent weights. It is shown that the proposed test converges in distribution to normal with mean zero and is consistent under the model misspecifications. Furthermore, the finite-sample properties of the proposed test procedure are investigated and two examples using real data are presented.

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A Nonparametric Goodness-of-Fit Test for Sparse Multinomial Data

  • Baek, Jang-Sun
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.2
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    • pp.303-311
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    • 2003
  • We consider the problem of testing cell probabilities in sparse multinomial data. Aerts, et al.(2000) presented $T_1=\sum\limits_{i=1}^k(\hat{p}_i-p_i)^2$ as a test statistic with the local polynomial estimator $(\hat{p}_i$, and showed its asymptotic distribution. 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, $T=\sum\limits_{i=1}^k(\hat{p}_i-p_i)^2/p_i$ instead, and show it follows an asymptotic normal distribution.

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Goodness-of-Fit Test for the Normality based on the Generalized Lorenz Curve

  • Cho, Youngseuk;Lee, Kyeongjun
    • Communications for Statistical Applications and Methods
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    • v.21 no.4
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    • pp.309-316
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    • 2014
  • Testing normality is very important because the most common assumption is normality in statistical analysis. We propose a new plot and test statistic to goodness-of-fit test for normality based on the generalized Lorenz curve. We compare the new plot with the Q-Q plot. We also compare the new test statistic with the Kolmogorov-Smirnov (KS), Cramer-von Mises (CVM), Anderson-Darling (AD), Shapiro-Francia (SF), and Shapiro-Wilks (W) test statistic in terms of the power of the test through by Monte Carlo method. As a result, new plot is clearly classified normality and non-normality than Q-Q plot; in addition, the new test statistic is more powerful than the other test statistics for asymmetrical distribution. We check the proposed test statistic and plot using Hodgkin's disease data.

A Fundamental Study of Probability Functions and Relationship of Wave Heights. -On the Wave Heights of the East Coast of Korea- (파고의 확률분포 및 상관에 관한 기초적 연구 - 동해안의 파고를 중심으로 하여 -)

  • 윤해식;이순탁
    • Water for future
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    • v.7 no.2
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    • pp.99-106
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    • 1974
  • The records of wave heights which were observed at Muk ho and Po hang of the East Coast of Korea were analized by several probility functions. The exponential 2 parameter distribution was found as the best fit probability function to the historical distribution of wave heights by the test of goodness of fit. But log-normal 2 parameter and log-extremal type A distributions were also fit to the historical distribution, especially in the Smirnov-Kolmogorov test. Therefore, it can't be always regarded that those two distributions are not fit to the wave heiht's distribution. In the test of goodness of fit, the Chi-Square test gave very sensitive results and Smirnov-Kolmogorov test, which is a distribution free and non-parametric test, gave more inclusive results. At the next stage, the inter-relationship between the mean and the one-third wave heights, the mean and the one-=tenth wave heights, the one-third and the one-tenth wave heights, the one-third and the highest wave heights were obtained and discussed.

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Goodness of fit of martial arts training satisfaction scale applying Many-Facets Rasch model (Many-Facets Rasch 모형을 적용한 무도수련만족 척도의 적합도 - 경호무도 수련자를 중심으로 -)

  • Kim, Woo-Jin;Kim, Hye-Seon
    • Korean Security Journal
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    • no.42
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    • pp.37-57
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    • 2015
  • The purpose of this study was to verify goodness-of-fit by Many-Facets Rasch model for applying martial arts training satisfaction scale to security martial arts trainees. To achieve the purpose, 255 security martial arts trainees' data were used in the analysis. In addition, In addition, the AMOS 20.0 program was used for unidimensionality validation, and take advantage of the Facets 3.61 program for goodness-of-fit verification. Specific results are as follows: First, Unidimensionali test results showed that model fit, reliability and standardized ${\beta}$ value are suitable. Second, the analysis results of goodness-of-fit, items 1, 2, 3 are inadequate, 4, 8, 11, 13, 14 items once found to be over-fit questions. Also, analysis of item difficulty, item 1 has highest difficulty and item 7 was lowest. Third, According Facets item difficulty and response difference verification result, female group exhibited a high level of item difficulty compared to the male group, goodness-of-fit was all accurate. As the result of item difficulty and response difference verification based on Martial arts training flow, there is no response difference according to the training experience. On the other hands, less than 4 years to 5 years and less than 5 years to 6 years trainees represented over-fit features. Results of item difficulty and response difference verification by grade level, first grade was the most highly recognized the item difficulty and fourth grade was also recognized the lowest of item difficulty Fourth, the response category analysis showed that the six points response categories are not appreciate.

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Relationships Between Goodness of Fit Between Mother-child and Self-esteem Among Preschoolers: A Moderating Effect of Quality of Home Environment (HOME) (어머니-유아 조화적합성과 유아의 자아존중감 간의 관계: 가정환경자극의 조절효과를 중심으로)

  • Seo, So Jung;Kim, Yeon Ju;Ha, Ji Young
    • Korean Journal of Child Education & Care
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    • v.18 no.4
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    • pp.159-173
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    • 2018
  • Objective: The main purpose of this study was examine the relationships among goodness of fit between mother and child, child's self-esteem and quality of home environment. Also, the moderating effects of quality of home environment among preschoolers were investigated in the relation of interest in this study. Methods: The study subjects were 195 children who attended preschools, located in Seoul. The preschoolers' self-esteem was tested by the trained researcher, and both of levels of goodness of fit between the mother-child and quality of home environment were rated by the mothers of this study. Results: The main results of this study found that levels of preschoolers' self-esteem were positively related to goodness of fit between the mother-child, and quality of home environment. Furthermore, the effects of goodness of fit between mother-child on preschoolers' cognitive, physical, and emotional self-esteem were moderated by the quality of home environment. Conclusion/Implications: Along with those findings, implications for research and practice were discussed.