• 제목/요약/키워드: Statistical error analysis

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통계적 소양 교육을 위한 그래프 오류 유형 분석: 자료 분석 단계에서의 통계 윤리 문제 (An Analysis on Error Types of Graphs for Statistical Literacy Education: Ethical Problems at Data Analysis in the Statistical Problem Solving)

  • 탁병주;김다빈
    • 한국초등수학교육학회지
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    • 제24권1호
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    • pp.1-30
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    • 2020
  • 본 연구는 통계적 소양 교육을 실천하기 위해 초등학교 통계교육의 주된 내용 요소에 해당하는 그래프 지도 중 특히 오류의 유형화에 주목하였다. 구체적으로 문헌 분석을 통해 통계적 문제해결의 관점에서 그래프의 교수학적 의의와 구성 요소를 확인하였고, 이를 표현하는 과정에서 나타나는 오류를 분류하여 각 사례들을 자료 분석 단계에서의 통계 윤리 문제와 연결하였다. 연구 결과, 그래프 오류 유형은 범주 표현에서의 오류, 빈도 표현에서의 오류, 맥락 제시에서의 오류로 분류할 수 있었고, 이러한 오류로 인해 자료 분석 단계에서 주관적인 분석 방법 채택, 시각적 착시현상 유도, 자료에 대한 정보 왜곡과 같은 통계 윤리 문제가 발생할 수 있음을 확인하였다. 그리고 우리나라 초등학교 수학과 교육과정에서는 오류를 범하지 않도록 정형화된 틀을 제공하고 그 틀에 맞춰 그래프를 그리는 절차에 주목하는 경향이 있었다. 이를 통해 그래프 오류 유형이 초등학교 통계교육에 제공하는 시사점을 통계적 소양 교육, 통계 윤리, 교사 지식의 관점에서 제시하였다.

볼바 측정을 통한 공작기계 위치오차의 통계적 분석 (Statistical Analysis of the Position Errors of a Machine Tool Using Ball Bar Test)

  • 류순도;양승한
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.501-504
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    • 2001
  • The use of error compensation techniques has been recognized as an effective way in the improvement of the accuracy of a machine tool. The laser measurement method for identifying position errors of machine tool has the disadvantages such as high cost, long calibration time and usage of volumetric error synthesis model. Accordingly, this paper deals with analysis of the position errors of a machine tool using ball bar test without using complicated error synthesis model. Statistical analysis method was adopted in this paper for deriving position errors using hemispherical helix ball bar test.

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대한침구학회지 논문의 통계적 오류에 관한 연구 (An Assessment of Statistical Validity of Articles Published in the Journal of Korean Acupuncture & Moxibusition Society - from 1984 to 2002 -)

  • 이승덕
    • Journal of Acupuncture Research
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    • 제21권1호
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    • pp.176-188
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    • 2004
  • This study was carried out to investigate statistical validity of medical articles that used various statistical techniques such as t-test, analysis of variance, correlation analysis, regression analysis and chi-square test. For study 429 original articles using those statistical methods were selected from Journal of Korean Acupuncture & Moxibusition Society published from 1984 to 2002. 429 original articles were reviewed to analyzed the statistical procedures. Results are summarized as follows : 1. In this study 93 articles(21.68%) of 429 ones didn't report statement of statistical method in detail. 2. 53 articles(12.53%) didn't report p-value in correctly, and 245 articles(57.11 %) used mean${\pm}$standard error (Mean${\pm}$SEM.) and 109 articles used mean${\pm}$standard deviation(Mean${\pm}$SD.). All of 23 articles using nonparametric statistical techniques made an error to central tendency or dispersion. 3. 175 articles(59.93%) and 14 articles(4.79%) of 292 ones made an error to description of equal variances and normal distribution. 4. 99 articles(50%) of 185 ones misused t-test and 4 articles of 5 ones misused chi-square test. 5. 28 articles(73.68%) of 38 ones using discrete variable misused parametric technique such as t-test or ANOVA. 2 articles and 1 article of 125 ones choosing paired samples misused independent t-test and Mann-Whitney U test. 6. 20 articles using analysis of variance didn't use multiple comparison.

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Hierarchical Bayes Estimators of the Error Variance in Two-Way ANOVA Models

  • Chang, In Hong;Kim, Byung Hwee
    • Communications for Statistical Applications and Methods
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    • 제9권2호
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    • pp.315-324
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    • 2002
  • For estimating the error variance under the relative squared error loss in two-way analysis of variance models, we provide a class of hierarchical Bayes estimators and then derive a subclass of the hierarchical Bayes estimators, each member of which dominates the best multiple of the error sum of squares which is known to be minimax. We also identify a subclass of non-minimax hierarchical Bayes estimators.

가변스트레치성형 설계변수와 성형오차의 상관관계에 대한 통계적 연구 (Statistical Study on Correlation Between Design Variable and Shape Error in Flexible Stretch Forming)

  • 서영호;허성찬;강범수;김정
    • 소성∙가공
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    • 제20권2호
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    • pp.124-131
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    • 2011
  • A flexible stretch forming process is useful for small quantity batch production because various shape changes of the flexible die can be achieved conveniently. In this study, the design variables, namely, the punch size, curvature radius and elastic pad thickness, were quantitatively evaluated to understand their influence on sheet formability using statistical methods such as the correlation and regression analyses. Forming simulations were designed and conducted by a three-way factorial design to obtain numerical values of a shape error. Linear relationships between the design variables and the shape error resulted from the Pearson correlation analysis. Subsequently, a regression analysis was also conducted between the design variables and the shape error. A regression equation was derived and used in the flexible die design stage to estimate the shape error.

Hierarchical Bayes Estimators of the Error Variance in Balanced Fixed-Effects Two-Way ANOVA Models

  • Kim, Byung-Hwee;Dong, Kyung-Hwa
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.487-500
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    • 1999
  • We propose a class of hierarchical Bayes estimators of the error variance under the relative squared error loss in balanced fixed-effects two-way analysis of variance models. Also we provide analytic expressions for the risk improvement of the hierarchical Bayes estimators over multiples of the error sum of squares. Using these expressions we identify a subclass of the hierarchical Bayes estimators each member of which dominates the best multiple of the error sum of squares which is known to be minimax. Numerical values of the percentage risk improvement are given in some special cases.

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7세부터 9세 사이의 한국인 어린이의 굴절 이상 (Refractive Error in 7-9 Year-old Korea Children)

  • 김덕훈
    • 한국임상보건과학회지
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    • 제2권3호
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    • pp.203-208
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    • 2014
  • Purpose. To analysis the refractive error in 7-9 year-old Korea children. Methods. From July 2013 to June 2014, two hundred eighty two subjects were performed in refraction test using the Auto-Refractometry. Results. The refractive error by spherical equivalent among all subjects was myopia 47.58%, emmetropia 42.35%, astigmatism 32.33%, and hyperopia 8.76%. Myopia was more common in female than males although the difference was not statically significant. The axis of astigmatism was with the rule in 65%, against the rule in 31.5%, and oblique in 3.5% There was a statistical significance between 7 year and 9 year of male in the spherical equivalent power(p=0.010). Also there was a statistical significance between 7 years and 9 years of female in the spherical equivalent power(p=0.036). However, there was not a statistical significance between male and female in spherical equivalent power(p>0.5). Conclusions. In this study, myopia was the most common refractive error. On the other hand, The prevalence of the axis of astigmatism was the with- the- rule. The spherical equivalent of refractive error was similar results between male and female. However The refractive error was different style with aging. these data suggested that the analysis of the refractive error at young children can provide the information of useful diagnosis for the correction of visual acuity.

ON THE ADMISSIBILITY OF HIERARCHICAL BAYES ESTIMATORS

  • Kim Byung-Hwee;Chang In-Hong
    • Journal of the Korean Statistical Society
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    • 제35권3호
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    • pp.317-329
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    • 2006
  • In the problem of estimating the error variance in the balanced fixed- effects one-way analysis of variance (ANOVA) model, Ghosh (1994) proposed hierarchical Bayes estimators and raised a conjecture for which all of his hierarchical Bayes estimators are admissible. In this paper we prove this conjecture is true by representing one-way ANOVA model to the distributional form of a multiparameter exponential family.

유전체 코호트 연구의 주요 통계학적 과제 (Statistical Issues in Genomic Cohort Studies)

  • 박소희
    • Journal of Preventive Medicine and Public Health
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    • 제40권2호
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    • pp.108-113
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    • 2007
  • When conducting large-scale cohort studies, numerous statistical issues arise from the range of study design, data collection, data analysis and interpretation. In genomic cohort studies, these statistical problems become more complicated, which need to be carefully dealt with. Rapid technical advances in genomic studies produce enormous amount of data to be analyzed and traditional statistical methods are no longer sufficient to handle these data. In this paper, we reviewed several important statistical issues that occur frequently in large-scale genomic cohort studies, including measurement error and its relevant correction methods, cost-efficient design strategy for main cohort and validation studies, inflated Type I error, gene-gene and gene-environment interaction and time-varying hazard ratios. It is very important to employ appropriate statistical methods in order to make the best use of valuable cohort data and produce valid and reliable study results.

Analysis of Linear Regression Model with Two Way Correlated Errors

  • Ssong, Seuck-Heun
    • Journal of the Korean Statistical Society
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    • 제29권2호
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    • pp.231-245
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    • 2000
  • This paper considers a linear regression model with space and time data in where the disturbances follow spatially correlated error components. We provide the best linear unbiased predictor for the one way error components. We provide the best linear unbiased predictor for the one way error component model with spatial autocorrelation. Further, we derive two diagnostic test statistics for the assessment of model specification due to spatial dependence and random effects as an application of the Lagrange Multiplier principle.

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