• Title/Summary/Keyword: variance covariance matrix

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The Relationship Between Elementary School Students' Family Health and Internet Addiction: School Adjustment as a Mediating Variable (초등학생의 가족건강성과 인터넷 중독 간의 관계 : 학교적응을 매개변인으로)

  • Jang, Sung-Hwa;Park, Young-Jin
    • The Journal of the Korea Contents Association
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    • v.13 no.7
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    • pp.463-472
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    • 2013
  • The purpose of this study is to examine the relationships among three factors such as the family health, school adjustment and internet addiction, and their subordinated factors. The research is going to clarify if school adjustment has mediating effect in the relationship between the family health and internet addiction. 371 of elementary school students resideing in Dadjeon-city completed questionnaires assessing family health, school adjustment and internet addiction. The sample variance-covariance matrix was analyzed using SPSS 18.0 and AMOS 20.0, the mazimum likelihood minimization function. The goodness of fit was evaluated using the SRMR, RMSEA and its 90% confidence interval, CFI, and TLI. The results are as follows: First, there were significant correlations among family health, school adjustment and internet addiction. Second, the subordinated factors in the family health, school adjustment, and internet addiction regulation are also closely related in the statistically significant positive relationship excepting school adjustment. After conducting the Covariance Structure Analysis to verify the mediating effect of school adjustment in the relationship between the family health and internet addiction, we found that it was appropriate to explain our findings with the structural equation model. when the family health has an effect on internet addiction, the school adjustment partially influences this process. Finally, educational implications and suggestions for future studies are addressed.

Multivariate conditional tail expectations (다변량 조건부 꼬리 기대값)

  • Hong, C.S.;Kim, T.W.
    • The Korean Journal of Applied Statistics
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    • v.29 no.7
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    • pp.1201-1212
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    • 2016
  • Value at Risk (VaR) for market risk management is a favorite method used by financial companies; however, there are some problems that cannot be explained for the amount of loss when a specific investment fails. Conditional Tail Expectation (CTE) is an alternative risk measure defined as the conditional expectation exceeded VaR. Multivariate loss rates are transformed into a univariate distribution in real financial markets in order to obtain CTE for some portfolio as well as to estimate CTE. We propose multivariate CTEs using multivariate quantile vectors. A relationship among multivariate CTEs is also derived by extending univariate CTEs. Multivariate CTEs are obtained from bivariate and trivariate normal distributions; in addition, relationships among multivariate CTEs are also explored. We then discuss the extensibility to high dimension as well as illustrate some examples. Multivariate CTEs (using variance-covariance matrix and multivariate quantile vector) are found to have smaller values than CTEs transformed to univariate. Therefore, it can be concluded that the proposed multivariate CTEs provides smaller estimates that represent less risk than others and that a drastic investment using this CTE is also possible when a diversified investment strategy includes many companies in a portfolio.

An Analysis of Structural Relationship Among the Attitude Toward Science, Science Motivation, Self-Regulated Learning Strategy, and Science Achievement in Middle School Students (중학생의 과학에 대한 태도, 과학 학습 동기 및 자기조절학습 전략과 과학 학업성취도의 구조적 관계 분석)

  • Lee, Jungsoo;Chung, Younglan
    • Journal of The Korean Association For Science Education
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    • v.34 no.5
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    • pp.491-497
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    • 2014
  • The purpose of this study is to investigate the structural relationships among the attitude toward science and science motivation such as affective characteristics, and self-regulated learning strategy such as cognitive factor of science achievement. 853 middle school students residing in Seoul completed questionnaires about attitude toward science, science motivation, and self-regulated learning strategy. The sample variance-covariance matrix was analysed using AMOS 20.0, and a maximum likelihood minimization function. The results are as follows: First, attitude toward science, science motivation and self-regulated learning strategy of middle school students were all found to have a significant direct effect on science achievement. Second, attitude toward science and science motivation in middle school students has a direct effect on the self-regulated learning strategy. Third, attitude toward science in middle school students has a substantial indirect effect on science achievement mediated by their self-regulated learning strategy. Forth, science motivation in middle school students has indirect effect on science achievement mediated by their self-regulated learning strategy. Therefore, in order to improve science achievement among middle school students, teachers should consider synthetically the affective characteristics such as attitude toward science and science motivation, and cognitive factor such as self-regulated learning strategy.

Characterization of Korean Archaeological Artifacts by Neutron Activation Analysis (I). Multivariate Classification of Korean Ancient Coins. (중성자 방사화분석에 의한 한국산 고고학적 유물의 특성화 연구 (I). 다변량 해석법에 의한 고전 (古錢) 의 분류 연구)

  • Chul Lee;Oh Cheun Kwun;Hyung Tae Kang;Ihn Chong Lee;Nak Bae Kim
    • Journal of the Korean Chemical Society
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    • v.31 no.6
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    • pp.555-566
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    • 1987
  • Fifty ancient Korean coins originated in Yi Dynasty have been determined for 9 elements such as Sn, Fe, As, Ag, Co, Sb, Ir, Ru and Ni by instrumental neutron activation analysis and for 3 elements such as Cu, Pb, and Zn by atomic absorption spectrometry. Bronze coins originated in early days of the dynasty contain as major constituents Cu, Pb and Sn approximately in the ratio 90 : 4 : 3, whereas, those in latter days contain in ratio 7 : 2 : 0. Brass coins which had begun in 17 century contain as major constituents Cu, Zn and Pb approximately in the ratio 7 : 1 : 1. The multivariate data have been analyzed for the relation among elemental contents through the variance-covariance matrix. The data have been further analyzed by a principal component mapping method. As the results training set of 8 class have been chosen, based on the spread of sample points in an eigen vector plot and archaeological data such as age and the office of minting. The training set and test set of samples have finally been analyzed for the assignment to certain classes or outliers through the statistical isolinear multiple component analysis (SIMCA).

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