• Title/Summary/Keyword: Hotelling's T-square

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Prediction of Rainfall-Induced Slope Failure Using Hotelling's T-Square Statistic (Hotelling의 T-square 통계량을 이용한 강우유발 사면붕괴 예측)

  • Kim, Seul-Bi;Na, Jong-Hwa;Seo, Yong-Seok
    • The Journal of Engineering Geology
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    • v.25 no.3
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    • pp.331-337
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    • 2015
  • A new technique is presented to detect unstable slope behavior, based on Hotelling's T2 analysis of pore pressure and water content obtained during flume tests using granitic and gneissic weathered soils. Three sets of pore pressure-water content values were simultaneously obtained during each test, and T2 statistics at the 90.0% and 95.0% confidence levels were calculated based on the correlations between values. The results show that unsuccessful detection of some local failures of the flume slope depended on the sensor position. In the case of global slope failures, anomalous behavior was detected between several hundred and several thousand seconds before the event as T2 statistics exceeded the confidence interval 90%. Hotelling's T2 analysis provides a single control criterion because it enables correlations between diverse measured values within the same slope; the criterion also includes stepwise criteria for a forecasting and warning system based on confidence levels.

Fault diagnosis of wafer transfer robot based on time domain statistics (시간 영역 통계 기반 웨이퍼 이송 로봇의 고장 진단)

  • Hyejin Kim;Subin Hong;Youngdae Lee;Arum Park
    • The Journal of the Convergence on Culture Technology
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    • v.10 no.4
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    • pp.663-668
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    • 2024
  • This paper applies statistical analysis methods in the time domain to the fault diagnosis of wafer transfer robots, and proposes a methodology to discern the critical characteristics of vibration and torque signals. Subsequently, principal component analysis (PCA) is applied to diminish the data's dimensionality, followed by the development of a fault diagnosis algorithm utilizing Euclidean distance and Hotelling's T-square statistics. The algorithm establishes decision boundaries to categorize failure states based on the observed data. Our findings indicate that data classification incorporating velocity parameters enhances diagnostic accuracy. This approach serves to enhance the precision and efficacy of fault diagnosis.

Unbalanced ANOVA for Testing Shape Variability in Statistical Shape Analysis

  • Kim, Jong-Geon;Choi, Yong-Seok;Lee, Nae-Young
    • The Korean Journal of Applied Statistics
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    • v.23 no.2
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    • pp.317-323
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    • 2010
  • Measures are very useful tools for comparing the shape variability in statistical shape analysis. For examples, the Procrustes statistic(PS) is isolated measure, and the mean Procrustes statistic(MPS) and the root mean square measure(RMS) are overall measures. But these measures are very subjective, complicated and moreover these measures are not statistical for comparing the shape variability. Therefore we need to study some tests. It is well known that the Hotelling's $T^2$ test is used for testing shape variability of two independent samples. And for testing shape variabilities of several independent samples, instead of the Hotelling's $T^2$ test, one way analysis of variance(ANOVA) can be applied. In fact, this one way ANOVA is based on the balanced samples of equal size which is called as BANOVA. However, If we have unbalanced samples with unequal size, we can not use BANOVA. Therefore we propose the unbalanced analysis of variance(UNBANOVA) for testing shape variabilities of several independent samples of unequal size.

An Study on Creative Problem Solving Experiences in Engineering Production Design Class Using Design Thinking (디자인씽킹을 활용한 공학제품 설계수업에서의 창의적 문제해결 경험 연구)

  • Ryoo, Eunjin;Kim, Minjeong
    • The Journal of the Convergence on Culture Technology
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    • v.7 no.1
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    • pp.223-233
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    • 2021
  • This study is was conducted for 37 first-year students (including 27 males and 10 females) enrolled in the engineering product design class opened as a regular class in the second semester of 2018 at 'A' University in Seoul to examine creative problem solving experiences in class using design_thinking. In this study, creative problem-solving ability was divided into creative personality and problem-solving ability and in the results of examining the difference in pre- and post-creative problem solving abilities through Hotelling's T-square test and t-test, among the creative personality, the tolerance & passion, humor, curiosity, and progressive attitude were found to significantly increase after class. Next, in the results of examining the process of creative problem solving through the reflection journal, in the empathy and prototyping and testing stages of design thinking, more activities for problem solving appeared, and at the stage of problem definition and idea generation, it can be seen that more activities expressing creative personality appear. The results of this study show that creative problem-solving abilities can be improved through design thinking, suggesting that instructional support for effective design thinking should be designed.

반도체 공정 신호의 이상탐지 및 분류를 위한 자기구상지도 기반 기법에 관한 연구

  • Yun, Jae-Jun;Park, Jeong-Sul;Baek, Jun-Geol
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.02a
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    • pp.36-36
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    • 2011
  • 반도체 공정 신호는 주기 신호와 비주기 신호로 구분된다. 특정 패턴을 가지는 주기 신호는 해당 파라미터(parameter)에 대해서 패턴 매칭을 수행하여 관리하는 연구가 진행되고 있다. 반면 비주기 신호 데이터의 경우에는 패턴 매칭 방법을 수행할 수 없다. 또한 반도체 공정에서 얻을 수 있는 두 개 타입의 데이터는 그 파라미터가 방대하기 때문에 현재 실제 공정에 적용되고 있는 방식인 각각 하나의 파라미터에 대해 관리도(control chart)를 구성해 관리하는 것은 많은 비용과 시간의 낭비를 초래한다. 따라서 두 타입 데이터의 여러 개의 파라미터를 동시에 관측할 수 있고 파라미터간의 내재된 상관관계를 고려할 수 있는 장점을 가진 분석 기법에 대한 연구가 필요하다. 주기 신호의 이상탐지를 위한 기존 연구는 신호를 구간으로 나누어 구간별로 SPC 차트적용 시키는 방법, 각 시점 마다 측정되는 값을 하나의 변수로 고려하여 Hotelling's T square, PCA, PLS 등과 같은 다변량 통계 분석을 적용 시키는 방법들이 제시되어 왔다. 이러한 방법들은 다양한 특성을 가지는 주기신호를 분석하고 이상을 탐지 하는데 많은 한계점을 가진다. 이에 본 논문은 다양한 형태를 가지는 신호의 특성을 반영하여 자기구상지도를 기반으로 신호의 분류와 공정의 이상을 탐지하는 기법을 제안한다. 제안하는 기법은 자기구상지도를 이용하여 복잡한(고차원, 시계열) 신호를 2차원 상의 노드로 맵핑시킴으로써 신호의 특질(feature)을 추출하고 새로 표현된 신호의 특질을 기반으로 Logistic regression을 적용시켜 이상을 탐지 한다. 다양한 이상 상황을 가진 반도체 공정 신호를 사용하여 제안한 이상탐지 성능을 평가하였다.

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Detection of the Change in Blogger Sentiment using Multivariate Control Charts (다변량 관리도를 활용한 블로거 정서 변화 탐지)

  • Moon, Jeounghoon;Lee, Sungim
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.903-913
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    • 2013
  • Social network services generate a considerable amount of social data every day on personal feelings or thoughts. This social data provides changing patterns of information production and consumption but are also a tool that reflects social phenomenon. We analyze negative emotional words from daily blogs to detect the change in blooger sentiment using multivariate control charts. We used the all the blogs produced between 1 January 2008 and 31 December 2009. Hotelling's T-square control chart control chart is commonly used to monitor multivariate quality characteristics; however, it assumes that quality characteristics follow multivariate normal distribution. The performance of a multivariate control chart is affected by this assumption; consequently, we introduce the support vector data description and its extension (K-control chart) suggested by Sun and Tsung (2003) and they are applied to detect the chage in blogger sentiment.