• Title/Summary/Keyword: Variance of Analysis

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Use of Beta-Polynomial Approximations for Variance Homogeneity Test and a Mixture of Beta Variates

  • Ha, Hyung-Tae;Kim, Chung-Ah
    • Communications for Statistical Applications and Methods
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    • v.16 no.2
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    • pp.389-396
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    • 2009
  • Approximations for the null distribution of a test statistic arising in multivariate analysis to test homogeneity of variances and a mixture of two beta distributions by making use of a product of beta baseline density function and a polynomial adjustment, so called beta-polynomial density approximant, are discussed. Explicit representations of density and distribution approximants of interest in each case can easily be obtained. Beta-polynomial density approximants produce good approximation over the entire range of the test statistic and also accommodate even the bimodal distribution using an artificial example of a mixture of two beta distributions.

Financial Management and Satisfaction of the Elderly Households (노인단독가구의 가계재정관리와 경제생활만족도)

  • 이선형;이연숙
    • Journal of Family Resource Management and Policy Review
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    • v.1 no.2
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    • pp.31-43
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    • 1997
  • The purpose of this study was to analyze financial management and satisfaction of the elderly households using System’s Approach. 1) Financial management behavior was influenced by age, present job, husband’s job before retirement, assets, family income, living expenses, experiences of financial management. 2) Financial satisfaction was influenced by age, present job, husband’s job before retirement, assets, family income, living expenses, experiences of financial management, and assessment of family financial conditions. 3) The result of regression analysis of input variables on the throughput variable showed that age of respondent and the middle age experiences of financial management emerged as predictors of financial management. There variables accounted for 48% of variance in the financial management behavior. 4) When financial satisfaction was regressed against input and throughput variables, 55% of the total variance of the financial satisfaction was explained by financial goal and assessment of family conditions.

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Estimation of excitation and reaction forces for offshore structures by neural networks

  • Elshafey, Ahmed A.;Haddara, M.R.;Marzouk, H.
    • Ocean Systems Engineering
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    • v.1 no.1
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    • pp.1-15
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    • 2011
  • Offshore structures are subjected to wind loads, wind generated wave excitations, and current forces. In this paper we focus on the wind generated wave excitations as the main source for the external forces on the structure. The main objective of the paper is to provide a tool for using deck acceleration measurements to predict the value of the force and moment acting on the offshore structure foundation. A change in these values can be used as an indicator of the health of the foundation. Two methods of analysis are used to determine the relationship between the force and moment acting on the foundation and deck acceleration. The first approach uses neural networks while the other uses a Fokker-Planck formulation. The Fokker-Plank approach was used to relate the variance of the excitation to the variance of the deck acceleration. The total virtual mass of the equivalent SDOF of the structure was also determined at different deck masses.

Economical Values of Gage R&R Parameters (경제적인 Gage R&R 계수)

  • Park, Sung-Hun;Kang, Chang-Wook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.3
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    • pp.129-135
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    • 2012
  • Companies strive for quality improvement and use process data obtained through measurement process to monitor and control the process. Measurement data contain variation due to error of operator and instrument. The total variation is sum of product variation and measurement variation. Gage R&R is for repeatability and reproducibility of measurement system. Gage R&R study is usually conducted to analyze the measurement process. In performing the gage R&R study, several parameters such as the appropriate number of operators (o), sample size of parts (p), and replicate (r) are used. In this paper we propose how to determine the optimal combination of number of operators (o), sample size of parts (p), and replicates (r) considering measurement time and cost by statistical method.

Characteristics and Classification of Armscye Circumference using 3D Scan Data (3차원 인체형상자료를 이용한 겨드랑둘레선의 형태특성 및 유형)

  • Choi, Kueng-Mi;Park, Sun-Mi;Nam, Yun-Ja;Jun, Jung-Ill;Ryu, Young-Sil
    • Fashion & Textile Research Journal
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    • v.12 no.1
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    • pp.80-85
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    • 2010
  • The purpose of this study was to examine the characteristics of armscye circumference which will be used to develop total contents for the apparel industry. The subjects of this study were 16- to 49-year-old women whose 3D body shape data were analyzed. 72 length and length-ratio measurements were taken to each subject' armscye circumference. The used analysis methods are descriptive statistics, principal component analysis, and cluster analysis. The results are follows; 1. Considering the Length of armscye circumference, the result of principal component analysis were extracted 3 factors and those factors comprised 95% of total variance. As the result of the cluster analysis of factor scores, subjects were classified into 4 cluster by their size characteristic. 2. Considering the length-ratio of armscye circumference, the result of principal component analysis were extracted 5 factors and those factors comprised 96.45% of total variance. As the result of the cluster analysis of factor scores, subjects were classified into 5 cluster by their shape characteristic. So that, this research could be useful to manufacture garment which reflected 3D body figure and improved fitting.

Length-biased Rayleigh distribution: reliability analysis, estimation of the parameter, and applications

  • Kayid, M.;Alshingiti, Arwa M.;Aldossary, H.
    • International Journal of Reliability and Applications
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    • v.14 no.1
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    • pp.27-39
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    • 2013
  • In this article, a new model based on the Rayleigh distribution is introduced. This model is useful and practical in physics, reliability, and life testing. The statistical and reliability properties of this model are presented, including moments, the hazard rate, the reversed hazard rate, and mean residual life functions, among others. In addition, it is shown that the distributions of the new model are ordered regarding the strongest likelihood ratio ordering. Four estimating methods, namely, method of moment, maximum likelihood method, Bayes estimation, and uniformly minimum variance unbiased, are used to estimate the parameters of this model. Simulation is used to calculate the estimates and to study their properties. Finally, the appropriateness of this model for real data sets is shown by using the chi-square goodness of fit test and the Kolmogorov-Smirnov statistic.

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Analysis of Error Source in Subjective Evaluation on Patient Dentist Interaction : Application of Generalizability Theory (환자-치과의사 관계(PDI Patient Dentist Interaction) 평가의 오차원 분석: 일반화가능도 이론 적용)

  • Kim, Jooah;Cho, Lee-Ra
    • The Journal of the Korean dental association
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    • v.57 no.8
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    • pp.448-455
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    • 2019
  • This study aims to apply the Generalizability Theory (G-theory) for estimation of reliability of evaluation scores between raters on Patient Dentist Interaction. Selecting a number of raters as multiple error sources, this study was analyzed the error sources caused by relative magnitude of error variances of interaction between the factors and proceeded with D-study based on the results of G-study for optimal determination of measurement condition. The estimated outcomes of variance component for accuracy among the Patient Dentist Interaction evaluation with G-theory showed that impact of error was the biggest influence factor in students. The second influence was the item effect, and the rater effect was relatively small. The Generalizability coefficients for case1 and case2 which were estimated through the D- study were calculated relatively low.

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Optimal Designs for Multivariate Nonparametric Kernel Regression with Binary Data

  • Park, Dong-Ryeon
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.243-248
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    • 1995
  • The problem of optimal design for a nonparametric regression with binary data is considered. The aim of the statistical analysis is the estimation of a quantal response surface in two dimensions. Bias, variance and IMSE of kernel estimates are derived. The optimal design density with respect to asymptotic IMSE is constructed.

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A Study on the Classification of Islands by PCA ( I ) (PCA에 의한 도서분류에 관한 연구( I ))

  • 이강우
    • The Journal of Fisheries Business Administration
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    • v.14 no.2
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    • pp.1-14
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    • 1983
  • This paper considers a classification of the 88 islands located at Kyong-nam area in Korea, using by examples of 12 components of the islands. By means of principal component analysis 2 principle components were extracted, which explained a total of 73.7% of the variance. Using an eigen variable criterion (λ>1), no further principle components were discussed. Principal component 1 and 2 explained 63.4% and 10.3% of the total variance respectively, The representation of the unrelated factor scores along the first and second principal axes produced a new information with respect to the classification of the islands. Based upon the representation, 88 islands were classified into 6 groups i. e. A, B, C, D, E, and F according to similarity of the components among them in this paper. The "Group F" belongs to a miscellaneous assortment that does not fit into the logical category. category.

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