• Title/Summary/Keyword: Standardized Coefficient

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Information Theoretic Standardized Logistic Regression Coefficients with Various Coefficients of Determination

  • Hong Chong-Sun;Ryu Hyeon-Sang
    • Communications for Statistical Applications and Methods
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    • v.13 no.1
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    • pp.49-60
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    • 2006
  • There are six approaches to constructing standardized coefficient for logistic regression. The standardized coefficient based on Kruskal's information theory is known to be the best from a conceptual standpoint. In order to calculate this standardized coefficient, the coefficient of determination based on entropy loss is used among many kinds of coefficients of determination for logistic regression. In this paper, this standardized coefficient is obtained by using four kinds of coefficients of determination which have the most intuitively reasonable interpretation as a proportional reduction in error measure for logistic regression. These four kinds of the sixth standardized coefficient are compared with other kinds of standardized coefficients.

Comments on the regression coefficients (다중회귀에서 회귀계수 추정량의 특성)

  • Kahng, Myung-Wook
    • The Korean Journal of Applied Statistics
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    • v.34 no.4
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    • pp.589-597
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    • 2021
  • In simple and multiple regression, there is a difference in the meaning of regression coefficients, and not only are the estimates of regression coefficients different, but they also have different signs. Understanding the relative contribution of explanatory variables in a regression model is an important part of regression analysis. In a standardized regression model, the regression coefficient can be interpreted as the change in the response variable with respect to the standard deviation when the explanatory variable increases by the standard deviation in a situation where the values of the explanatory variables other than the corresponding explanatory variable are fixed. However, the size of the standardized regression coefficient is not a proper measure of the relative importance of each explanatory variable. In this paper, the estimator of the regression coefficient in multiple regression is expressed as a function of the correlation coefficient and the coefficient of determination. Furthermore, it is considered in terms of the effect of an additional explanatory variable and additional increase in the coefficient of determination. We also explore the relationship between estimates of regression coefficients and correlation coefficients in various plots. These results are specifically applied when there are two explanatory variables.

Nerve Growth Factor and Sensory Neuropeptide Levels in Plasma and Saliva of Various Orofacial Pain Patients (다양한 구강안면통증환자의 혈장 및 타액에서의 신경성장인자와 감각성 신경펩티드 농도에 관한 연구)

  • Jang, Min-Uk;Chung, Sung-Chang;Chung, Jin-Woo
    • Journal of Oral Medicine and Pain
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    • v.34 no.4
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    • pp.387-395
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    • 2009
  • Nerve growth factor (NGF) and sensory neuropeptides are involved in the process of nociception at peripheral nerve fibers and wide spread in central nervous system. The aims of this study were to investigate NGF and sensory neuropeptides (substance P [SP] and calcitonin gene-related peptide [CGRP]) levels in human plasma and saliva, and the associations between these sensory neuropeptides levels and chronic orofacial pain symptoms. NGF, SP, and CGRP levels in plasma and resting whole saliva samples collected from 67 orofacial pain patients (joint pain, dental or periodontal pain, mucosal pain) and 36 pain free control subjects were measured by enzyme immunoassay. The characteristic pain intensity of each subject was measured using the Graded Chronic Pain Scale and the flow rate of resting whole saliva was measured. Joint pain patients group showed significantly higher plasma NGF level compared to each of dental pain patients (p<0.01), mucosal pain patients (p<0.01), and control group (p<0.01). Plasma NGF level of dental pain patients group was significantly higher than that of control group (p<0.01). Saliva SP level of dental pain patients group (p<0.05) and saliva CGRP level of mucosal pain group (p<0.05) were significantly higher than that of control group. Plasma and saliva SP levels of joint pain patients was significantly associated with pain intensity (plasma: standardized coefficient=0.599, p<0.01, saliva: standardized coefficient=0.504, p=0.05). In dental pain patients group, plasma SP (standardized coefficient=0.559, p<0.01), saliva SP (standardized coefficient=0.520, p<0.01) and saliva CGRP (standardized coefficient=0.599, p<0.01) levels were significantly associated with age. In mucosal pain patients group, plasma SP (standardized coefficient=0.495, p<0.05), saliva SP (standardized coefficient=0.500, p<0.05), and saliva CGRP (standardized coefficient=0.717, p<0.01) levels were significantly associated with age. NGF and neuropeptides may play a role in the maintenance of various orofacial pain symptoms. The examination of those levels in plasma and saliva helps understanding the mechanism of orofacial pain, and furthermore, can be applied to the diagnosis and therapy of orofacial pain.

Assessment of Drought Effects on Groundwater System in Rural Area using Standardized Groundwater Level Index(SGI) (표준지하수위지수(SGI)를 이용한 농촌지역 지하수계의 가뭄 영향 평가)

  • Song, Sung-Ho
    • Journal of Soil and Groundwater Environment
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    • v.23 no.3
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    • pp.1-9
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    • 2018
  • This study is aimed to quantitatively evaluate the effects of drought on groundwater system in rural areas. For this purpose, the standardized groundwater level index (SGI) was used for 68 groundwater monitoring wells. To determine accumulation period (AP) which represents the month with the highest correlation coefficient between SGI and SPI, correlation analysis between the two for 68 wells were peformed. The results indicated the AP values ranged in 1~3 months for most of the well, but it was 7~10 months in some wells. These results can be interpreted such that the total amount of groundwater will not decrease significantly in long-term drought situations unlikely the reservoirs with the high AP values. The nationwide maximum AP values were 4.1 and 4.0 in Chungbuk-do and Gyeongnam-do, while the minimum AP values were 1.8 and 2.0 in Gangwon-do and Chungnam-do, respectively. The maximum and minimum values of correlation coefficient were 0.623 and 0.459 in Gyeongnam-do and Chungnam-do/Chungbuk-do, respectively. Consequently, it could be concluded that the wells with low AP value tend to respond to short-term drought, but it has little effect on groundwater system when the long drought occurs.

Development and Application of an After-school Program for an Astronomy Observation Club in a Highschool: Standardized Coefficient Decision Program in Consideration of the Observation Site's Environment (고등학교 천체 관측 동아리를 위한 방과 후 학교 프로그램 개발 및 적용: 관측지 주변 환경을 고려한 표준화 계수 결정 프로그램)

  • Kim, Seung-Hwan;Lee, Hyo-Nyong;Lee, Hyun-Dong;Jeong, Jae-Hwa
    • Journal of the Korean earth science society
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    • v.29 no.6
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    • pp.495-505
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    • 2008
  • The main purposes of this study are to: (1) to develop astronomy observation program based on a standardized coefficient decision program; and (2) to apply the developed program to after-school or club activities. As a first step, we analyzed activities related to astronomy in the authorized textbooks that are currently adopted in high schools. based on the analysis, we developed an astronomy observation program according to the standardized coefficient decision program, and the program was applied to students' astronomical observations as part of the club activities. Specifically, this program used a 102 mm refracting telescope and digital camera. we took into account the observation site's environment of the urban areas in which many school were located and then developed a the computer program for observation activities. The results of this study are as follows. First, the current astronomical education in schools was based off of the textbooks. Specifically, it was mostly about analyzing the materials and making simulated experiments. Second, most schools participated in this study were located in urban areas where students had more difficulty in observation than in rural areas. Third, an exemplary method was investigated in order to make an astronomical observation efficiently in urban areas with the existing devices. In addition, the standardized coefficient decision program was developed to standardize the magnitude of stars according to the observed value. Finally, based on the students' observations, we found that there was no difference between the magnitude of a star in urban sites and in rural sites. The current astronomical education in schools lacks an activity of practical experiments, and many schools have not good observational sites because they are located in urban areas. However, use of this program makes it possible to collect significant data after a series of standardized corrections. In conclusion, this program not only helps schools to create an active astronomy observation activity in fields, but also promotes students to be more interested in astronomical observation through a series of field-based activities.

Analysis of Related Factors and Regional Variation of Mortality in Seoul (서울특별시 사망률 변이 및 관련 특성 분석)

  • Kim, Sooyeon;Kim, Ji Man;Park, Chong Yon;Lee, Chang-Woo;Lee, Sang Gyu;Shin, Euichul
    • Health Policy and Management
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    • v.28 no.1
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    • pp.15-22
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    • 2018
  • Background: Health is affected by various local factors. This study aims to investigate the age-standardized mortality variation of Seoul as well as the characteristics of the factors related to the mortality variation. Methods: The Korea Community Health Survey data, Seoul Survey data, Seoul statistics, and e-regional indicators of the National Statistical Office were used. To investigate the basic boroughs standardized mortality variation in Seoul, external quotient, coefficient of variation (CV), and systematic component of variation (SCV) values were suggested; correlation analysis and multiple regression analysis were conducted to investigate the characteristics related to standardized mortality rate. Results: The highest and the lowest standardized mortality rate of Seoul by boroughs had as much as 1.4 times difference; a low level of variation was shown in CV by 8.2; and was shown in SCV by 79. As a result of the multiple regression analysis of the factors that affect standardized mortality variation, the higher the rate of householders with college or higher, the lower the standardized mortality rate, and the higher the high-risk drinking rate, the higher the standardized mortality rate. Of the two, the rate of householder with a degree equivalent or higher than college was shown to have the biggest impact, followed by high-risk drinking rate. Conclusion: We found a variation in age-standardized mortality rate of boroughs in Seoul. The results suggest that policy makers should take into account socioeconomic environmental characteristics of community in developing community-based health promotion rather than focusing on lifestyle changes of residents.

A Study on the Factors Affecting Product Innovation of Manufacturing Companies: With a Focus on the Relationship between Participation of Suppliers, Customer and Business Performance (제조기업의 제품혁신 영향요인에 관한 연구: 공급자 참여, 고객참여 및 경영성과를 중심으로)

  • Na, Sang-Gyun;Cho, Gyu-Yeon
    • Journal of the Korea Safety Management & Science
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    • v.16 no.1
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    • pp.177-189
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    • 2014
  • The objective of the present study is to analyze the relationship of suppliers and customer participation in product development process and effects of such participation on product innovation since it is getting more and more weight in manufacturing companies. It is also aimed in this study to explore if business performance of manufacturing companies might be affected by the suppliers participation as well as product innovation that is realizable by such participation. From the analysis, following conclusions could be drawn: First, suppliers participation in manufacturing companies turned out to have influence upon product innovation (standardized coefficient=0.193, C.R=3.510), implying that nothing is more important than the role of suppliers who have intention to realize innovation through participation in manufacturing companies. Second, the analysis showed that customer participation exercised impact upon product innovation of manufacturing companies (standardized coefficient=0.686, C.R=6.433), suggesting that the more customer participate in product development process of manufacturing companies, the more manufacturing companies could sharpen their competitiveness. Third, it was made known from the analysis that the product innovation thanks to suppliers and customer participation in manufacturing companies could have influence upon their business performance (standardized coefficient=0.762, C.R=7.666), signifying that the product innovation of manufacturing companies might depend on the participation of suppliers and manufacturers and, in turn, could affect their own business performance.

A Causal Analysis on Internal Engagement in Science Fair (과학경연에서 학생의 내적 참여도 인과요인 분석)

  • Shim, Shim Jae-Gyu;Pak, Sung-Jae
    • Journal of The Korean Association For Science Education
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    • v.26 no.2
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    • pp.222-231
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    • 2006
  • The purposes of this study were to survey internal engagement in science fair and explore the causal relationship between internal engagement and motivation for participation. A written questionnaire on queries into motivation for participation and internal engagement were developed and tested. The subjects were 1066 students from 4th to 9th grade who had participated in the Youth Science Contest under the auspices of the Korea Science Foundation. Interest and commitment were selected as constructing factors of internal engagement. Through exploratory factor analysis, preference, reward, and social motivation were determined to be the factors affecting the motivation to participate. Boys showed higher internal engagement than girls, and interest and commitment were found to be higher in elementary school students(p<0.01). There was no difference in interest among elementary school students; however, fourth grade students showed lower commitment than other students(p<0.01). Ninth grade students showed the lowest interest and commitment among junior high school students(p<0.01). To explore the causal relationship between internal engagement and factors influence internal engagement, path analysis was used. The selected model illustrated how reward motivation affected commitment directly, and how preference motivation affected interest directly but only commitment indirectly through interest. Reward motivation affected commitment with a standardized direct effect coefficient of 0.17. Preference motivation affected interest with a standardized direct effect coefficient of 0.75 and commitment with a standardized total effect coefficient of 0.63(direct effect; 0.27 and indirect effect; 0.36). In addition, interest affected commitment with a standardized direct effect coefficient of 0.49. Social motivation did not affect interest and commitment and reward motivation did not affect interest.

Relationship among Chemical Properties of Soils with Different Texture Taken from Plastic Film House of Chungbuk Area (충북지역 시설재배지 토성별 토양화학성의 상호관계)

  • Kim, Jai-Joung;Kang, Seong-Soo;Kim, Ki-In;Hong, Soon-Dal
    • Korean Journal of Soil Science and Fertilizer
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    • v.39 no.3
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    • pp.144-150
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    • 2006
  • Chemical characteristics and their interrelationships of 156 soils included by 74 sandy loam and 82 loam soils collected from plastic film house in Chungbuk area were investigated from 1998 to 2001. Seventeen chemical properties including pH, organic matter (OM), electrical conductivity (EC), inorganic nitrogen, available phosphorus, exchangeable cations, CEC, etc., were analyzed by correlation, standardized partial regression coefficient, and principal factor analysis. Standardized partial regression coefficients of chemical properties were estimated to determine the degree of contribution of EC and OM contents in soils. Principal factor analysis was applied to classify the studied chemical properties into different groups having similar chemical properties. The pH of experimental soils ranged from 4.24 to 7.14 and 4.95 to 7.35 for loam and sandy loam soils, respectively. The EC of soils varied from 0.93 to $15.65dS\;m^{-1}$ for loam and $0.91{\sim}22.30dS\;m^{-1}$ for sandy loam soils, respectively with significant differences among them. The EC measured by 1:5 $H_2O$ dilution method and saturation method were significantly related with 8.163 and 8.599 as the slopes of regression equation for loam and sandy loam soils, respectively. These slopes more than 8.0 in this regression equation was higher than the slope of 5.0 that is estimated from dilution coefficient suggesting that EC measured by 1:5 dilution method might be erratic. The standardized partial regression coefficient of different chemical properties for the estimation of EC was in the order of $NO_3{^-}$ > $Cl^-$ > OM > exchangeable Mg for loam soils and $NO_3{^-}$ > exchangeable Mg > $Cl^-$ for sandy loam soils. Contribution order of the chemical properties based on standardized partial regression coefficient differed 1:5 dilution method and saturation method, indicating that different chemical compounds might be present in the extract solutions of these two methods. Consequently the measurement of EC by saturation method was thought be still better for estimation of chemical property because accuracy of EC measurement by 1:5 dilution method can't be improved by any specific coefficient for adjustment of EC. Regardless of differences in soil textures and extraction methods, correlation coefficients between EC and the other chemical properties were routinely in the order of $NO_3{^-}$ > $Cl^-$ > degree of base saturation > exchangeable Mg > exchangeable Ca > $SO{_4}^{2-}$. The principal factor analysis revealed four factor groups of the chemical properties studied. The groups for sandy loam were as follows; ; 1. salt components, 2. soil reaction components, 3. fixed and adsorption components, 4. CEC components. The groupings of loam soils were similar to sandy loam except that exchangeable Na substituted the CEC of sandy loam.

A Study on the Discriminant Variables of Face Skin Colors for the Korean Males (한국 남성의 얼굴 피부색 판별을 위한 색채 변수에 관한 연구)

  • Kim, Ku-Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.7 s.144
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    • pp.959-967
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    • 2005
  • The color of apparels has the interaction of the face skin colors of the wearers. This study was carried out to classify the face skin colors of Korean males into several similar face skin colors in order to extract favorable colors which flatter to their face skin colors. The criterion that select the new subjects who have the classified face skin colors have to be decided. With color spectrometer, JX-777, face skin colors of subjects were measured quantitatively and classified into three clusters that had similar hue, value and chroma with Munsell Color System. Sample size was 418 Korean males and other 15 of new males subjects. Data were analyzed by K-means cluster analysis, ANOVA, Duncan multiple range test, Stepwise discriminant analysis using SPSS Win. 12. Findings were as follows: 1. 418 subjects who have YR colors were clustered into 3 kinds of face skin color groups. 2. Discriminant variables of face skin colors was 4 variables : L value of forehead, v value of cheek, c value of forehead, and b value of cheek from standardized canonical discriminant function coefficient 1 and c value of forehead, L value of forehead, b value of cheek. and L value of cheek from standardized canonical discriminant function coefficient 2. 3. Hit ratio of type 1 was $92.3\%$, of type 2 was $96.5\%$ and of type 3 was $92.6\%$ by the canonical discriminant function of 4 variables. 4. The canonical discriminant function equation 1 and 2 were calculated with the unstandardized canonical discriminant function coefficient and constant, the cutting score, and range of the score were computed. 5. The criterion that select the new subjects who have the classified face skin colors was decided.