• Title/Summary/Keyword: 분산분석(ANOVA)

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Application of functional ANOVA and functional MANOVA (단변량 및 다변량 함수 데이터에 대한 분산분석의 활용)

  • Kim, Mijeong
    • The Korean Journal of Applied Statistics
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    • v.35 no.5
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    • pp.579-591
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    • 2022
  • Functional data is collected in various fields. It is often necessary to test whether there are differences among groups of functional data. In this case, it is not appropriate to explain using the point-wise ANOVA method, and we should present not the point-wise result but the integrated result. Various studies on functional data analysis of variance have been proposed, and recently implemented those methods in the package fdANOVA of R. In this paper, I first explain ANOVA and multivariate ANOVA, then I will introduce various methods of analysis of variance for univariate and multivariate functional data recently proposed. I also describe how to use the R package fdANOVA. This package is used to test equality of weekly temperatures in Seoul and Busan through univariate functional data ANOVA, and to test equality of multivariate functional data corresponding to handwritten images using multivariate function data ANOVA.

Analysis of latent growth model using repeated measures ANOVA in the data from KYPS (청소년패널자료 분석에서의 반복측정분산분석을 활용한 잠재성장모형)

  • Lee, Hwa-Jung;Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1409-1419
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    • 2013
  • We analyzed the data from KYPS using the latent growth model which has been widely studied as an analysis method of longitudinal data. In this study, we applied repeated measures ANOVA to unconditional model in order for faster decision of the unconditional model of the latent growth model. Also, we compared the six-type models, the quadratic model and the model of which repeated measures ANOVA is applied.

A Study on Oil-Seal Rubber Mixing Using ANOVA (분산분석을 이용한 오일씰 고무 배합에 관한 연구)

  • Yoon, Hyun-cheol;Choi, Ju Yong
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.11
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    • pp.69-75
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    • 2019
  • Oil seals have a great effect on transmission performance and durability. In this study, the optimal rubber mix was derived using dispersion analysis to obtain excellent oil-seal rubber properties. ANOVA was performed twice. The factors were polymers, carbon, magnesium oxide, and calcium hydroxide, which were used as four factors in ANOVA. The response factors were four items (hardness, tensile strength, elongation rate, and compression deformation) obtained through an experiment with a confidence level of 95%. In the first ANOVA, 168 tests were performed, and in the secondary ANOVA, 24 physical tests were conducted using polymers and carbon derived from the primary ANOVA. Through the ANOVA, we derived a rubber mixture recipe.

Bayesian Analysis for the Error Variance in a Two-Way Mixed-Effects ANOVA Model Using Noninformative Priors (무정보 사전분포를 이용한 이원배치 혼합효과 분산분석모형에서 오차분산에 대한 베이지안 분석)

  • 장인홍;김병휘
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.405-414
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    • 2002
  • We consider the problem of estimating the error variance of in a two-way mixed-effects ANOVA model using noninformative priors. First, we derive Jeffreys' prior, a reference prior, and matching priors. We then provide marginal posterior distributions under those noninformative priors. Finally, we provide graphs of marginal posterior densities of the error variance and credible intervals for the error variance in two real data set and compare these credible intervals.

Computer graphics approach to two-way ANOVA (컴퓨터 그래픽스에 의한 이원 분산분석)

  • 허문열
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.75-87
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    • 1995
  • Computer graphics approach is a powerful tool when we are to explore the effects of the change of a part of the data, or the effects of the alteration of the characteristics of the statistical model currently employed. The paper describes the methods to implement dynamic graphics for the process of analysis of variance, and the methods to graphically represent ANOVA type data. The paper the describes a dynamic graphics software developed by the author for two-way ANOVA model.

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Statistical Analysis of a Loop Designed Microarray Experiment Data (되돌림설계를 이용한 마이크로어레이 실험 자료의 분석)

  • 이선호
    • The Korean Journal of Applied Statistics
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    • v.17 no.3
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    • pp.419-430
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    • 2004
  • Since cDNA microarray experiments can monitor expression levels for thousands of genes simultaneously, the experimental designs and their analyzing methods are very important for successful analysis of microarray data. The loop design is discussed for selecting differentially expressed genes among several treatments and the analysis of variance method is introduced to normalize microarray data and provide estimates of the interesting quantities. MA-ANOVA is used to illustrate this method on a recently collected loop designed microarray data at Cancer Metastasis Research Center, Yonsei University.

An Empirical Study on the Impact of Job Performance to AIS Utility Value (회계정보시스템 유용성이 업무성과에 미치는 영향에 관한 실증적 연구)

  • Kim Dong-Il
    • The Journal of the Korea Contents Association
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    • v.5 no.5
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    • pp.266-272
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    • 2005
  • This study is to empirically analyze the effects on job performance of Accounting Information Systems, Analysis methods were used to Cronbach's Alpha analysis, Factor analysis, analysis of variance(ANOVA) and regression in odor by the contingency grouping method. The results of this study are as follows : First, The regression analysis had effects on AIS utility and job performance. Second, The Analysis of variance(ANOVA) had non-effects on systems operating degree and systems satisfaction. Third, The input variables of information accuracy and systems satisfaction had additional effect about IT capability.

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Comparative Study on Axes of Rotation Data by Within-Subjects Designs (피험자내 설계에 의한 회전축자료의 비교연구)

  • Kim, Jinuk
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.873-887
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    • 2013
  • The axis of rotation in biomechanics is a major tool to investigate joint function; therefore, many methods to estimate the axis of rotation have been developed. However, there exist several problems to describe, estimate, and test the axis statistically. The axis is directional data(axial data) and it should not be analyzed with traditional statistics. A proper comparative method should be considered to compare axis estimating methods for the same given data ANOVA (analysis of variance) is a frequently used statistical method to compare treatment means in experimental designs. In case of the axial data response assumed to come from Watson distribution, there are a few ANOVA method options. This study constructed ANOVA models for within-subjects designs of axial data. Two models (one within-subjects factor and two within-subjects factors crossed design) were considered. The empirical data used in this study were instantaneous axes of rotation of flexion/extension at the knee joint and the flexion/extension and pronation/supination at the elbow joint. The results of this study can be further applied to the various analysis of experimental designs.

A Simulation-based Optimization of Design Parameters for Cooling System of Injection Mold by using ANOVA with Orthogonal Array (직교배열과 분산분석법을 이용한 사출금형 냉각시스템 파라미터의 시뮬레이션 최적설계)

  • Park, Jong-Cheon;Shin, Seung-Min
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.5
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    • pp.121-128
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    • 2012
  • The optimization of cooling system parameters for designing injection mold is very important to acquire the highest part quality. In this paper, the integration of computer simulations of injection molding and Analysis of Variance(ANOVA) with orthogonal array was used as a design tool to optimize the cooling system parameters aimed at minimizing the part warpage. The design optimizer was applied to find the optimum levels of cooling system parameters for a dustpan. This optimization resulted in more uniform temperature distribution over the part and significant reduction of a part warpage, showing the capability of present method as an effective design tool. The whole optimization process was performed systematically in a proper number of cooling simulations. The design optimizer can be utilized effectively in the industry practice for designing mold cooling system with less cost and time.

Statistical Analysis of Marine Accidents by ANOVA (ANOVA에 의한 해양사고의 통계분석)

  • Park, Byung-Soo;Ahn, Young-Sup
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.13 no.3
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    • pp.191-198
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    • 2007
  • Marine accidents are increasing as time goes on, in spite of lots of efforts are given. Marine accidents can be classified 3 categories those are ship's condition, navigator's condition and weather condition. In this paper, statistical analysis were carried using marine accidents data from 1997 to 2006. In order to analyze accident rate by time zone, ship's speed and finding distant, SPSS variance analysis was carried out. Results are followed. There was significant difference between time zone 20${\sim}$04 hours and other time zones. The accident rate in daytime was bigger than that at night. In case of the speed at collision, the speed of 5${\sim}$10 knot has significant difference to other speed cases. In finding distant cases, the case of less than 1 mile has significant difference to other distant cases.

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