• Title/Summary/Keyword: Variance of Analysis

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Performance of a Bayesian Design Compared to Some Optimal Designs for Linear Calibration (선형 캘리브레이션에서 베이지안 실험계획과 기존의 최적실험계획과의 효과비교)

  • 김성철
    • The Korean Journal of Applied Statistics
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    • v.10 no.1
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    • pp.69-84
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    • 1997
  • We consider a linear calibration problem, $y_i = $$\alpha + \beta (x_i - x_0) + \epsilon_i$, $i=1, 2, {\cdot}{\cdot},n$ $y_f = \alpha + \beta (x_f - x_0) + \epsilon, $ where we observe $(x_i, y_i)$'s for the controlled calibration experiments and later we make inference about $x_f$ from a new observation $y_f$. The objective of the calibration design problem is to find the optimal design $x = (x_i, \cdots, x_n$ that gives the best estimates for $x_f$. We compare Kim(1989)'s Bayesian design which minimizes the expected value of the posterior variance of $x_f$ and some optimal designs from literature. Kim suggested the Bayesian optimal design based on the analysis of the characteristics of the expected loss function and numerical must be equal to the prior mean and that the sum of squares be as large as possible. The designs to be compared are (1) Buonaccorsi(1986)'s AV optimal design that minimizes the average asymptotic variance of the classical estimators, (2) D-optimal and A-optimal design for the linear regression model that optimize some functions of $M(x) = \sum x_i x_i'$, and (3) Hunter & Lamboy (1981)'s reference design from their paper. In order to compare the designs which are optimal in some sense, we consider two criteria. First, we compare them by the expected posterior variance criterion and secondly, we perform the Monte Carlo simulation to obtain the HPD intervals and compare the lengths of them. If the prior mean of $x_f$ is at the center of the finite design interval, then the Bayesian, AV optimal, D-optimal and A-optimal designs are indentical and they are equally weighted end-point design. However if the prior mean is not at the center, then they are not expected to be identical.In this case, we demonstrate that the almost Bayesian-optimal design was slightly better than the approximate AV optimal design. We also investigate the effects of the prior variance of the parameters and solution for the case when the number of experiments is odd.

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Estimation of Variance Component and Environment Effects on Somatic Cell Scores by Parity in Dairy Cattle (젖소집단의 산차에 따른 체세포점수의 환경효과 및 분산성분 추정)

  • 조광현;나승환;서강석;김시동;박병호;이영창;박종대;손삼규;최재관
    • Journal of Animal Science and Technology
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    • v.48 no.1
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    • pp.39-48
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    • 2006
  • This study utilized test day of somatic cell score data of dairy cattle from 2000 to 2004. The number of data used were 124,635 of first parity, 134,308 of second parity, 77,862 of third parity, 41,787 of forth parity and 37,412 of fifth parity. The data was analyzed by least square mean method using GLM to estimate the effects of calving year, age, lactation stage, parity and season on somatic cell score. Variance component estimation using test day model was determined by using expectation maximization algorithm- restricted maximum likelihood (EM-REML) analysis method. In each parity, somatic cell score was low for younger group and was relatively high in older groups. Likewise, for lactation stage, the score was low in early-lactation and high in late-lactation in first parity and second parity. Nevertheless, for the third, fourth and fifth parity, however, high somatic cell score was observed in mid-lactation. Generally, the score was high in the peak. Although in fourth and fifth parity, the score was low in late-lactation. Environmental effect of season, somatic cell score was generally low from September to November for all parities. The score was high between June and August when the milk production is usually low. The heritability in each parity were 0.05, 0.09, 0.10, 0.05 and 0.05 for parity 1, 2, 3, 4, 5, respectively. Genetic variance value was estimated to be high in second, third and fifth parity in early-lactation and to be low in first and forth parity.

Development and Application of Mobile-Based Math Learning Application (모바일 기반 수학 학습 어플리케이션 개발 및 활용 방안)

  • Kim, Bumi
    • School Mathematics
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    • v.19 no.3
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    • pp.593-615
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    • 2017
  • The purpose of this study is to develop a mobile-based math learning application and explore its application. In order to develop a learning application, the present study included literature review on math education involving mobile learning, investigation of literature related to mathematics education conducted in a digital environment, and method of use and implementation environment of existing math learning applications by type. Based on these preliminary investigation and analysis, an android version application, 'Mathematics Classroom for Middle School 3rd Graders' was developed. This application can be used for learning units such as Quadratic Functions and Graphs, Representative Value, and Variance and Standard Deviation. For the unit on Quadratic Functions and Graphs, the application was constructed so that students can draw various graphs by using the graphic mode and discuss their work with other students in the chatting room. For the unit on Representative Value, the application was constructed with the mathematical concept of representative value explained through animation along with activities of grouping data acquired after playing archery games by points or arranging them according to size so that students can study when and how to use median value, mode, and average. The application for Variance and Standard Deviation unit was also constructed in a way that allowed students to study the concept of variance and standard deviation and solve the problems on their own. The results of this study can be used as teaching & learning materials customized for individual student in math classes and will provide anyone the opportunity to engage in an interesting self-directed learning of math at anytime. Developed in the format of real life study, the application will contribute to helping students develop a positive attitude about math.

Electronic Sensors and Multivariate Approaches for Taste and Odor in Korean Soups and Stews (전자센서와 다변량 분석을 이용한 국내 국·탕류의 향미 특성 분석)

  • Boo, Chang Guk;Hong, Seong Jun;Cho, Jin-Ju;Shin, Eui-Cheol
    • Journal of Food Hygiene and Safety
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    • v.35 no.5
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    • pp.430-437
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    • 2020
  • This is an approach study on the sensory properties (taste and odor) of 15 types of Korean conventional soups and stews using electronic nose and tongue. The relative sensor intensity for the taste components of the samples using electronic tongue was demonstrated. By SRS (sourness) sensor, sogogi-baechuguk (beef and cabbage soup) had the highest rate of 9.0. The STS (saltiness) sensor showed the highest score of 8.2 for ojingeoguk (squid soup). For the UMS (umami) sensor, which identifies savoriness, the sogogi-baechuguk was the highest at 10.1. The SWS (sweetness) sensors showed relatively little difference, with sigeumchi-doenjangguk (spinach and bean paste soup) at the highest of 7.3. According to the BRS sensor, which tests for bitterness, the siraegi-doenjangguk (dried radish green and bean paste soup) was the highest at 7.8. By principal component analysis (PCA), we observed variances of 56.21% in principal component 1 (PC1) and 25.23% in PC2. For each flavor component, we observed -0.95 and -0.20 for factor loading of PC1 and PC2 for SRS sensors, 0.96 and 0.14 for STS sensors, and -0.94 and 0.22 for PC1 and PC2 for UMS sensors, and PC1 and 0.22 for PC1 and PC2 loading for SWS sensors. The similarity between the samples identified by clustering analysis was largely identified by 4 clusters. A total of 25 kinds of volatile compounds in 15 samples were identified, and the ones showing the highest relative content in all samples were identified as ethanol and 2-methylthiophhene. The main ingredient analysis confirmed variances of 28.54% in PC1 and 20.80% in PC2 as a result of the pattern for volatile compounds in 15 samples. In the cluster analysis, it was found to be largely classified into 3 clusters. The data in this study can be used for a sensory property database of conventional Korean soups and stews using electronic sensors.

The Relationship between Physically Disability Persons Participation in Exercise, Heart Rate Variance, and Facial Expression Recognition (지체장애인의 운동참여와 심박변이도(HRV), 표정정서인식력과의 관계)

  • Kim, Dong hwan;Baek, Jae keun
    • 재활복지
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    • v.20 no.3
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    • pp.105-124
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    • 2016
  • The This study aims to verify the causal relationship among physically disability persons participation in exercise, heart rate variance, and facial expression recognition. To achieve such research goal, this study targeted 139 physically disability persons and as for sampling, purposive sampling method was applied. After visiting a sporting stadium and club facilities that sporting events were held and explaining the purpose of the research in detail, only with those who agreed to participate in the research, their heart rate variance and facial emotion awareness were measured. With the results of measurement, mean value, standard deviation, correlation analysis, and structural equating model were analyzed, and the results are as follows. The quantity of exercise positively affected sympathetic activity and parasympathetic activity of autonomic nervous system. Exercise history of physically disability persons was found to have a positive influence on LF/HF, and it had a negative influence on parasympathetic activity. Sympathetic activity of physically disability persons turned out to have a positive effect on the recognition of the emotion, happiness, while the quantity of exercise had a negative influence on the recognition of the emotion, sadness. These findings were discussed and how those mechanisms that are relevant to the autonomic nervous system, facial expression recognition of physical disability persons.

The Dynamic Relationship between Stock Returns and Investors' Behavior : Trading Hour and Non-trading Hour Analysis (주가와 투자 주체의 상호 관계에 관한 연구 : 거래 시간대와 비거래 시간대 수익률 분석)

  • Ko, Kwang-Soo;Kim, Kwang-Ho
    • The Korean Journal of Financial Management
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    • v.27 no.2
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    • pp.145-167
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    • 2010
  • We investigate the dynamic relationship between stock returns and investors' behavior. For the putpose of the paper, daily KOSPI returns are decomposed into two parts: overnight returns and daytime returns. Overnight return is measured by the closing price of the previous day and the opening price of the current day. And daytime return is measured by the opening and closing prices of the current day. Qvernight returns are assumed to reflect global economic information, and daytime returns, domestic or local information. Major results are as follows: Foreign investors' behavior has an effect on the overnight returns more than the daytime returns. Individual investors' behavior, however, has little effect on the overnight returns, but not the daytime returns. Consequently, forecast error variance decomposition shows that the variance explanation power of foreign investors is higher in overnight returns rather than in the daytime returns. And the variance explanation power of individual investors is higher in daytime returns rather than in overnight returns. It implies that foreign investors employ dynamic hedging strategies and give more weight to global economic information rather than to domestic information. We conclude that investment behavior of foreign investors and domestic individuals is based on different economic information. This paper's findings are consistent with the economic situation that the Korean capital markets have faced since the global financial crisis of August 2008.

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Comparison of Performance and Stability Parameters for Soybean Yield (콩 수량안전성 분석방법간 비교)

  • Suk-Ha, Lee;Yong-Hwan, Ryu;Yeul-Gue, Seung;Seok-Dong, Kim;Eun-Hi, Hong
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.42 no.5
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    • pp.604-608
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    • 1997
  • Ten selected soybean genotypes, consisting of nine from a pedigree breeding programme and one recommended variety, were evaluated in nine different locations and over two years for stability of yield performance. Variance component analysis revealed that soybean regional yield trials should be performed at more locations rather than in more years. Five stability parameters, which were coefficient of variability, regression coefficient, deviation parameter, variance component for genotype$\times$environment interaction, and ecovalence, were employed in the evaluation. Significant genotype$\times$environment interaction was present with respect to soybean yield. The highest average yield over nine locations and two years was shown in Suwon 145, which was considered to be stable in all stability statistics. In rank correlation among stability parameters, there were highly significant correlations among stability parameters derived from three Eberhart and Russell's, Plaisted's, and Wricke's methods. Due to the different ranking of genotypes by different stability parameters, a comprehensive method should be employed to identify the promising genotype as well as to characterize the relationship between genotype and environment.

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The Effects of Brand Extension of Terrestrial Broadcasting Channels on Parent Brand Evaluation: Focusing on Brand Extended Channel Evaluation, Pre-Brand Extension Parent Brand Evaluation, Perceived Fit, Brand Portfolio Quality Variance, and Perceived Number of Brand Extensions (지상파채널의 브랜드 확장이 모 브랜드 평가에 미치는 영향: 확장된 채널 브랜드 평가, 확장 전 모 브랜드 평가, 적합성, 브랜드 포트폴리오 품질 변량, 브랜드 확장 수에 대한 지각을 중심으로)

  • Lee, Sun-Hee;Baek, Sang-Ki;Chang, Byeng-Hee;Yun, Hae-Jin;Moon, Sung-Chul
    • Korean journal of communication and information
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    • v.61
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    • pp.28-51
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    • 2013
  • The present study analyzed the effects of brand extension on the existing parent brand by applying the media brand extension model which previous studies had suggested based on consumer based brand equity model. Based on previous studies, the present study constructed a research model in which pre-brand extension parent brand evaluation, brand portfolio quality variance, perceived number of brand extensions, perceived fit between parent brand and brand extended channel, and brand extended channel evaluation are supposed to affect post-brand extension brand extension evaluation, and tested the media brand extension feedback effects model through structural equation modeling. The analysis results show that pre-brand extension parent brand evaluation, brand portfolio quality variance, perceived fit, and brand extended channel evaluation affect post-brand extension parent brand evaluation while the effect of perceived number of brand extensions is not significant.

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A Study on Activating a Producing Organization by Analyzing the Difference (산지유통조직의 차이점 분석을 통한 산지조직화 활성화 방안 연구)

  • Kim, Chang-Hwan;Park, Joo-Sub
    • Journal of Distribution Science
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    • v.12 no.12
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    • pp.65-73
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    • 2014
  • Purpose - Distribution of agricultural products is collapsing due to recent changes in the environment balance between retailers and producers. Further, the increase in the imports of agricultural products due to free trade has caused revenue problems for producers. Agricultural producers are faced with increasing difficulties, and the organized producing center's importance is growing each day. Korean organized producing centers' policies have been conducted since 2000, and have thus been sustained for more than 10 years. Organizing a producing center's business is focused on agricultural cooperative and farming association corporation this has already have been carried out. In addition, it has achieved significant results through these organizations, but it still has many problems. Research design, data, and methodology - Organized producing centers were classified for each type. The survey covered 90 organizations, based on factor analysis, analysis of balance, and logistic regression analysis. The results of the conducted factor analysis are as follows. Production, marketing, human resources management, organizational skills, post management, safety, and scale were classified as the seven kinds of factors. These are the factors that affect the organized producing centers through the variance analysis and logistic regression analysis. The purpose of such research and analysis is to suggest the direction for the future organized producing centers' policies. Result - Results of the analysis of the variance are listed below. Items by type, production, marketing, human resource management, and organizational skills are shown to depict differences between the factors. Organization form results show that production and marketing showed a difference between the factors. The size of the organization, production, and marketing showed the difference between the factors. The factors affect organized producing centers differently depending on the type shown, as seen from the results. In contrast, the logistic regression results of the analysis are as follows. Considering the results by the type of item, and the horticulture type of marketing, human resource management has a (+) influence. Grain type and production showed a (+) influence. New types of income affecting organizational skills have a (+) influence. Considering the results for each type of organization, the agricultural cooperative type of marketing and human resource management have (+) influence. Farming association corporation type of production has a (+) influence. As a result, the size of the organization is as follows. Large organizations are production, expressed in marketing with a (+) impact. Medium-size organizations are expressed with their size factor having a (+) impact. Small organizations are expressed with a safety factor having a (+) impact. Conclusions - The types of factors display different effects. One factor is that the type of a (+) represents the influence of other factors (-) as per factor symptomatology. Therefore, the type of measures to organize a strategy to maximize the benefits of your organization should be pursued. In addition, based on the support for small organizations, improving the quality of the producer organization should be considered.

Performance Analysis of Smart Automatic Jack-Up System Using the Pairwise Comparison Matrix Analysis Method (쌍대비교행렬 분석 기법을 적용한 스마트 자동 인상 시스템의 성능 분석)

  • Kim, Sung-Jo;Ji, Yongsoo;Kim, Bongsik;Han, Tong-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.1
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    • pp.9-14
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    • 2022
  • In this study, a smart jack-up system was developed to prevent safety accidents by performing risk analysis when a structure is lifted for maintenance. A quantitative risk analysis program that can analyze the risk using the pairwise comparison matrix analysis method was developed. The risk was analyzed in real-time for the lifting structure by connecting the program with an automatic jack-up system. Displacements were measured by the IR sensor among the components of the automatic jack-up system, and the displacements were provided to the quantitative risk analysis program. To confirm the performance of the smart automatic jack-up system, experiments were conducted on bridge and risk analysis was performed when a superstructure was lifted. A linear variable differential transformer (LVDT) was also installed on the bridge to verify the performance of the smart automatic jack-up system. The maximum displacements were measured using the devices, and the declinations were compared. The performance of the simultaneous operation of the jack-up device was verified by the analysis of variance (ANOVA).