• Title/Summary/Keyword: 제곱 관계

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An Analysis of Elementary School Students' Understanding of Functional Relationships (초등학교 2, 4, 6학년 학생들의 함수적 관계 이해 실태 조사)

  • Choi, Ji-Young;Pang, Jeong-Suk
    • School Mathematics
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    • v.14 no.3
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    • pp.275-296
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    • 2012
  • This study investigated elementary school students' understanding of basic functional relationships. It analyzed the written responses from a total of 2087 students of second, fourth, and sixth graders using tests that examined their understanding of five types of functional relationships. The results of this study showed that students tended to be more successful as their grades went up with regard to all the problem types. There were statistically differences among the three grade levels. Even lower graders were quite successful in dealing with additive relation, direct proportion, and inverse proportion. However the items dealing with square relation and linear relation were difficult even to sixth graders. It was common that students were good at completing the table by looking for a pattern from the given numbers but that they had difficulties in anticipating the value of 'y' when the value of 'x' is given either as a big number or as a symbol. Given these results, this paper includes issues and implications on how to foster functional thinking ability at the elementary school.

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Comparison of Kramers-Krönig Relation and High-Frequency Acoustic Measurements in Water-Saturated Glass Beads (다공성 입자 매질에서 고주파 영역 음향 측정 자료와 Kramers-Krönig 관계식의 비교)

  • Yang, Hae-Sang;Lee, Keun-Hwa;Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.7
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    • pp.402-407
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    • 2011
  • The necessary and sufficient condition for causality of a physical system can be expressed as Kramers-Kr$\ddot{o}$nig (K-K) relation. K-K relation for acoustic wave is a Hilbert transforms pair between dispersion equations of phase speed and attenuation. In this study, we quantitatively compare the acoustic measurements in water-saturated glass beads for the frequency ranges from 400 kHz to 1.1 MHz with the predictions of differential form of K-K relation obtained by Waters et al. For media with attenuation obeying an arbitrary frequency power law, acoustic measurements show good agreements with the predictions of Kramers-Kr$\ddot{o}$nig relation.

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.

Applying Randomization Tests to Collocation Analyses in Large Corpora (언어의 공기관계 분석을 위한 임의화검증의 응용)

  • Yang Kyung-Sook;Kim HeeYoung
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.583-595
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    • 2005
  • Contingency tables are used to compare counts of n-grams to determine if the n-gram is a true collocation, meaning that the words that make up the n-gram are highly associated in the text. Some statistical methods for identifying collocation are used. They are Kulczinsky coefficient, Ochiai coefficient, Frager and McGowan coefficient, Yule coefficient, mutual information, and chi-square, and so on. But the main problem is that these measures are based ell the assumption of a nor-mal or approximately normal distribution of the variables being sampled. While this assumption is valid in most instances, it is not valid when comparing the rates of occurrence of rare events, and texts are composed mostly of rare events. In this paper we have simply reviewed some statistics about testing association of two words. Some randomization tests to evaluate the significance level in analyzing collocation in large corpora are proposed. A related graph can be used to compare different lest statistics that ran be used to analyze the same contingency table.

Analyzing Influence of Outlier Elimination on Accuracy of Software Effort Estimation (소프트웨어 공수 예측의 정확성에 대한 이상치 제거의 영향 분석)

  • Seo, Yeong-Seok;Yoon, Kyung-A;Bae, Doo-Hwan
    • Journal of KIISE:Software and Applications
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    • v.35 no.10
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    • pp.589-599
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    • 2008
  • Accurate software effort estimation has always been a challenge for the software industrial and academic software engineering communities. Many studies have focused on effort estimation methods to improve the estimation accuracy of software effort. Although data quality is one of important factors for accurate effort estimation, most of the work has not considered it. In this paper, we investigate the influence of outlier elimination on the accuracy of software effort estimation through empirical studies applying two outlier elimination methods(Least trimmed square regression and K-means clustering) and three effort estimation methods(Least squares regression, Neural network and Bayesian network) associatively. The empirical studies are performed using two industry data sets(the ISBSG Release 9 and the Bank data set which consists of the project data collected from a bank in Korea) with or without outlier elimination.

Image Fusion Based on Statistical Hypothesis Test Using Wavelet Transform (웨이블렛 변환을 이용한 통계적 가설검정에 의한 영상융합)

  • Park, Min-Joon;Kwon, Min-Jun;Kim, Gi-Hun;Shim, Han-Seul;Lim, Dong-Hoon
    • The Korean Journal of Applied Statistics
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    • v.24 no.4
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    • pp.695-708
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    • 2011
  • Image fusion is the process of combining multiple images of the same scene into a single fused image with application to many fields, such as remote sensing, computer vision, robotics, medical imaging and military affairs. The widely used image fusion rules that use wavelet transform have been based on a simple comparison with the activity measures of local windows such as mean and standard deviation. In this case, information features from the original images are excluded in the fusion image and distorted fusion images are obtained for noisy images. In this paper, we propose the use of a nonparametric squared ranks test on the quality of variance for two samples in order to overcome the influence of the noise and guarantee the homogeneity of the fused image. We evaluate the method both quantitatively and qualitatively for image fusion as well as compare it to some existing fusion methods. Experimental results indicate that the proposed method is effective and provides satisfactory fusion results.

Biaxial buckling analysis of sigmoid functionally graded material nano-scale plates using the nonlocal elaticity theory (비국소 탄성이론을 이용한 S형상 점진기능재료 나노-스케일 판의 이축 좌굴해석)

  • Lee, Won-Hong;Han, Sung-Cheon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.11
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    • pp.5930-5938
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    • 2013
  • The sigmoid functionally graded mateiral(S-FGM) theory is reformulated using the nonlocal elatictiry of Erigen. The equation of equilibrium of the nonlocal elasticity are derived. This theory has ability to capture the both small scale effects and sigmoid function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported boundary conditions. Numerical solutions of biaxial buckling of nano-scale plates are presented using this theory to illustrate the effects of nonlocal theory and power law index of sigmoid function on buckling load. The relations between nonlocal and local theories are discussed by numerical results. Further, effects of (i) power law index, (ii) length, (iii) nonlocal parameter, (iv) aspect ratio and (v) mode number on nondimensional biaxial buckling load are studied. To validate the present solutions, the reference solutions are discussed.

Study on the Acceptance and Continuous Use of New Seed of Chinese Cabbage (배추 신종자의 수용 및 지속적 사용의도에 관한 연구)

  • Kim, Yonggyu;Hong, Seungjee
    • Journal of agriculture & life science
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    • v.46 no.5
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    • pp.153-165
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    • 2012
  • The purpose of this study is to analyze the acceptance about new seed of Chinese cabbage and to analyze the factors affecting continuous use. Research model was derived based on the Technology Acceptance Model(TAM), the analysis was performed using Partial Least Squares(PLS). The factors significantly affecting the use of new seed of Chinese cabbage are innovativeness and seed promotion in antecedent variables and perceived usefulness in parameter variables, which have strong positive relationship among them. Therefore, efforts such as development and diffusion of high quality seed and securing a market for Chinese cabbage of new seed are necessary for improving perceived usefulness. Since these efforts including seed promotion can enhance the farmers' acceptance of new seed and reduce the risk that farmers would face in introducing new seed, these can also be very helpful in enhancing the farmers' innovativeness.

Statistical Tests and Applications for the Stability of an Estimated Cointegrating Vector (공적분벡터의 안정성에 대한 실증연구)

  • Kim, Tae-Ho;Hwang, Sung-Hye;Kim, Mi-Yun
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.503-519
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    • 2005
  • Cointegration test is usually performed under the assumption that the cointegrating vector is constant for the whole sample period. Most previous studies have used conventional cointegration methods in testing for a stable long-run equilibrium relation among related variables. However they have overlooked that the long-run equilibrium may not the unique and the stable relation may not be guaranteed. This study develops the additional statistical tests for the stability of the estimated cointegrating vector. Three tests for the parameter stability of a cointegrated regression model are utilized and applied to identify the types of variations in the long-run relation between the domestic unemployment and the rotated macroeconomic variables of interest. The present paper finds that, there exists a stable but, time-varying long-run relation between those. The observed variation in cointegrating relations is generally characterized by a discrete one-time shift, rather than a gradually evolving random walk process which is attributable to the IMF financial and economic crisis.

Factor Analysis on the Performance of Hospital Customer Relationship Management (HCRM) System (병원고객관계관리시스템의 성과요인 분석)

  • Chun, Je-Ran
    • Journal of the Korea Convergence Society
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    • v.12 no.5
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    • pp.79-84
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    • 2021
  • The objective of this paper is to find out the factors for the performance of the Hospital Customer Relationship Management (HCRM) system. Furthermore, the relationships between these factors have been analyzed. In order to analyze the performance of the HCRM system, factor analysis with several Key Performance Indicators (KPIs) was conducted. And also multiple regression analysis and Chi-square test were executed. In this study, several hypotheses were derived to analyze the relationships between factors of performance of HCRM system. These hypotheses were tested by using the Structural Equation Model (SEM). As the result of this study, we discovered the HCRM-Infrastructure has positive effects on the HCRM-Performance. And the HCRM-Performance has also positive influences on the hospital management performance. On the basis of the research result, we proposed some suggestions and guidelines for the successful implementation and improvement of HCRM system.