• Title/Summary/Keyword: Score distribution

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On the models for the distribution of examination score for projecting the demand for Korean Long-Term Care Insurance

  • Javal, Sophia Nicole;Kwon, Hyuk-Sung
    • Communications for Statistical Applications and Methods
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    • v.28 no.4
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    • pp.393-410
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    • 2021
  • The Korean Long-Term Care Insurance (K-LTCI) provides financial support for long-term care service to people who need various types of assistance with daily activities. As the number of elderly people in Korea is expected to increase in the future, the demand for long-term care insurance would also increase over time. Projection of future expenditure on K-LTCI depends on the number of beneficiaries within the grading system of K-LTCI based on the test scores of applicants. This study investigated the suitability of mixture distributions to the model K-LTCI score distribution using recent empirical data on K-LTCI, provided by the National Health Insurance Service (NHIS). Based on the developed mixture models, the number of beneficiaries in each grade and its variability under the current grading system were estimated by simulation. It was observed that a mixture model is suitable for K-LTCI score distribution and may prove useful in devising a funding plan for K-LTCI benefit payment and investigating the effects of any possible revision in the K-LTCI grading system.

The Effects of Job Characteristics on Leadership Awareness and Organizational Citizenship Behavior: Focused on the Role of Motivating Potential Score

  • Choi, Beet-Na;Cho, Hee-Young;Yang, Hoe-Chang
    • The Journal of Economics, Marketing and Management
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    • v.6 no.2
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    • pp.21-29
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    • 2018
  • Purpose - This study aimed to check the influence of job characteristics of members of small and medium businesses on authentic leadership awareness of superiors and organizational citizenship behavior, and if the MPS between awareness of authentic leadership and organizational citizenship behavior mediated. This study aimed to find the influence of job characteristics of SMEs members on leadership awareness and organizational citizenship behavior, and the role of motivating Potential Score. Research Design, Data, and Methodology - Total of 150 valid questionnaires were collected. Frequency analysis, descriptive statistical analysis, correlation analysis, simple & multiple regression analysis, and 3-step mediated regression analysis were conducted. Results - The sub-factors of job characteristics all had positive influence on authentic leadership except skill variety and positive awareness on authentic leadership enhances organizational citizenship behavior of members. Also, MPS partially mediates awareness of authentic leadership and organizational citizenship behavior. Conclusion - Providing skill variety such as expanding jobs to members of SMEs does not have influence of positive leadership awareness of leaders and partial mediation of MPS means that job characteristics along with positive leadership awareness on superiors enhance organizational citizenship behavior and contributes in developing the organization.

Study on Estimating the Optimal Number-right Score in Two Equivalent Mathematics-test by Linear Score Equating (수학교과의 동형고사 문항에서 양호도 향상에 유효한 최적정답율 산정에 관한 연구)

  • 홍석강
    • The Mathematical Education
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    • v.37 no.1
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    • pp.1-13
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    • 1998
  • In this paper, we have represented the efficient way how to enumerate the optimal number-right scores to adjust the item difficulty and to improve item discrimination. To estimate the optimal number-right scores in two equivalent math-tests by linear score equating a measurement error model was applied to the true scores observed from a pair of equivalent math-tests assumed to measure same trait. The model specification for true scores which is represented by the bivariate model is a simple regression model to inference the optimal number-right scores and we assume again that the two simple regression lines of raw scores and true scores are independent each other in their error models. We enumerated the difference between mean value of $\chi$* and ${\mu}$$\_$$\chi$/ and the difference between the mean value of y*and a+b${\mu}$$\_$$\chi$/ by making an inference the estimates from 2 error variable regression model. Furthermore, so as to distinguish from the original score points, the estimated number-right scores y’$\^$*/ as the estimated regression values of true scores with the same coordinate were moved to center points that were composed of such difference values with result of such parallel score moving procedure as above mentioned. We got the asymptotically normal distribution in Figure 5 that was represented as the optimal distribution of the optimal number-right scores so that we could decide the optimal proportion of number-right score in each item. Also by assumption that equivalence of two tests is closely connected to unidimensionality of a student’s ability. we introduce new definition of trait score to evaluate such ability in each item. In this study there are much limitations in getting the real true scores and in analyzing data of the bivariate error model. However, even with these limitations we believe that this study indicates that the estimation of optimal number right scores by using this enumeration procedure could be easily achieved.

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Comparative Analysis and Evaluation of Dietary Intake of Koreans by Age Groups : (4) The Korean Diet Quality Index (서울 및 근교에 거주하는 한국인의 연령별 식생활 비교 및 평가: (4) 식사의 질 평가)

  • 심재은;백희영;이심열;문현경;김영옥
    • Journal of Nutrition and Health
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    • v.35 no.5
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    • pp.558-570
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    • 2002
  • This study was performed to develop an index assessing the overall diet quality for Korean. The study subjects consisted of preschool children (PC), elementary school children (EC), high school students (HS), college students (CS), and adults over 30 years old living Seoul and the surrounding areas. The subjects over 30 years old were classified to 30-49 years, 50-69 years, and over 70 years. A dietary survey was conducted using 24-hour recall method and data were collected from 2392 people. Newly developed Korean diet quality index (KDQI) was an index assessing the overall diet quality from the view point of balance. KDQI was based on the nutritional problems of Koreans, dietary risk factors for chronic degenerative diseases, 5 major food groups, and dietary guidelines. The ten components of KDQI were vegetables, fruits, dairy products, dietary variety score, calcium intake, iron intake, energy intake, fat intake, and cholesterol intake. The full score of each component was 10 points and the score of KDQI was calculated by summing the scores of the 10 components. When the KDQI was applied to this study subjects, the distribution of subjects KDQI scores was similar to normal distribution. Mean score of KDQI was 56.0 and the range of the mean by age was from 45.7 for the subjects over 70 years old to 60.7 for the elementary school children. The components which composed the lowest three means were dairy intake, fruit intake, Ca intake in most age groups. Mean score of DVS was one of the highest three but not for the subjects over 50 years old. After subjects with KDQI score over 70 were classified to higher poop and those with KDQI score under 40, to lower group, nutritional characteristics were compared. Energy contributions of carbohydrate, proteins, and fit, percentages of RDA for major nutrients, and dietary diversity scores were more adequate in the higher poop than in the lower group. The lower poop had more risks for chronic degenerative diseases. According to the results, KDQI was valid index to assess the overall diet quality and it could be used to detect risk group for malnutrition and chronic degenerative diseases.

Testing Homogeneity of Errors in Unbalanced Random Effects Linear Model

  • Ahn, Chul H.
    • Communications for Statistical Applications and Methods
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    • v.8 no.3
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    • pp.603-613
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    • 2001
  • A test based on score statistic is derived for detecting homoscedasticity of errors in unbalanced random effects linear model. A small simulation study is performed to investigate the finite sample behaviour of the test statistic which is known to have an asymptotic chi-square distribution under the null hypothesis.

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Comparison of Change-point Estimators in Hazard Rate Models

  • Kim, Jaehee
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.753-763
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    • 2002
  • When there is one change-point in the hazard rate model, a change-point estimator with the partial score process is suggested and compared with the previously developed estimators. The limiting distribution of the partial score process we used is a function of the Brownian bridge. Simulation study gives the comparison of change-point estimators.

A Study of Fisheries Distribution Margin and Performance ; Focused on the case of Mackerel (수산물 유통마진과 유통성과 연구 -고등어 유통 사례를 중심으로 -)

  • Jang, Young-Soo;Park, Key-Seop;Lee, Jung-Phil
    • The Journal of Fisheries Business Administration
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    • v.46 no.3
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    • pp.143-161
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    • 2015
  • This study presents a comparative analysis on mackerel distribution process and price formation process, and investigation of price and margin between traditional markets and Large-scale discount store distribution channel. Through this, the study investigated distribution efficiency of each channel, and examined whether a difference of distribution efficiency leads to a difference of performance through the investigation of a difference of function and role between members of a wholesale market and vendor of Large scale discount store. The following are the results of this study. As a consequence of investigating supply and sum by distribution channel of mackerel, it appeared that mackerels shipped from port market are distributed into 9 consumption sites(Wholesale market, Large scale discount store, Institutional Food Service, etc.). In the comparison of distribution efficiency between traditional retail store and Large scale discount store 52.0% margin is formed in traditional retail store distribution channel and 43.1% margin is formed in Large scale discount store, and a distribution cost rate consists of 19.4% cost in a traditional retail store for fishery products and 18.1% cost in a Large-scale discount store. To analyze a difference of performance, the study examine a difference of role and function between vendor and Wholesale market company, wholesaler and middleman. Wholesale market company and middleman of wholesale market for consumer have slightly high or similar score in collection function, sorting function, evaluation function and financial function which are traditional and original. However, it was confirmed that vendor has a better score in other functions, that is, newly-demanded functions(ex : market frontier function, product development function, Integral Distribution Function, etc.).

Testing for Overdispersion in a Bivariate Negative Binomial Distribution Using Bootstrap Method (이변량 음이항 모형에서 붓스트랩 방법을 이용한 과대산포에 대한 검정)

  • Jhun, Myoung-Shic;Jung, Byoung-Cheol
    • The Korean Journal of Applied Statistics
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    • v.21 no.2
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    • pp.341-353
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    • 2008
  • The bootstrap method for the score test statistic is proposed in a bivariate negative binomial distribution. The Monte Carlo study shows that the score test for testing overdispersion underestimates the nominal significance level, while the score test for "intrinsic correlation" overestimates the nominal one. To overcome this problem, we propose a bootstrap method for the score test. We find that bootstrap methods keep the significance level close to the nominal significance level for testing the hypothesis. An empirical example is provided to illustrate the results.

The Validation of a Test of Creativity : The Torrance Tests of Creative Thinking(TTCT) (창의성 검사의 타당화를 위한 일 연구 - Torrance 창의적 사고력 검사(TTCT)를 중심으로 -)

  • Cho, Song Yon
    • Korean Journal of Child Studies
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    • v.6 no.1
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    • pp.41-59
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    • 1985
  • The present research investigated the validity and reliability of the Verbal and Figural tests of the Torrance Tests of Creative Thinking(TTCT). Its potential as a basis of normative data, and differences in children's sex and grade in school were also examined. The subjects of this study were 360 children (180 boys, 180 girls) enrolled in two public elementary schools grades 1-6. Pearson's product-moment coefficient and two-way analysis of variance were used for analyzing data collected from these tests. The present research showed a coefficient of concurrent validity of the TTCT-Verbal test of .40. The coefficient of equivalence from reliability between the TTCT-Verbal test and TTCT-Figural test was .65 (p<.01). Regarding the coefficient of interscorer reliability, the total score of the TTCT-Verbal test was .86 and that of the TTCT-Figural test was .95. The coefficient of intrascorer reliability on the total score of the TTCT-Verbal test was .93 and that of the TTCT-Figural test was .96. Generally, score reliability was .86 to .96 in total score but there were great differences in the reliability of sub-factor scores. There were no significant differences between boys and girls in the distribution of scores on the TTCT-Verbal test and the TTCT-Figural test. There were significant differences between grades (p<.01) on the distribution of total scores and subfactor scores of the TTCT-Verbal Test.

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