• Title/Summary/Keyword: R-square

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A Study of Gage R&R Analysis Considering the Variations of Between-Within Group and Within Part (군간-군내-부품내 변동을 고려한 Gage R&R 분석에 관한 연구)

  • Lee, Seung-Hoon;Lee, Chang-Woo
    • IE interfaces
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    • v.18 no.4
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    • pp.444-453
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    • 2005
  • The purpose of the Gage R&R study is to determine whether a measurement system is adequate for monitoring a process. If the measurement system variation is small relative to the process variation, then the measurement system is deemed "adequate". The sources of variation associated with the measurement system are compared using an analysis of variance (ANOVA) model, in general. A typical ANOVA model used in a standard Gage R&R study is the two-factor random effect model. Then, the ANOVA partitions the total variation into three categories: repeatability, reproducibility, part variation. However, if the process variation possesses the between group variation, within group variation, and within part variation, these variations can cause the measurement system evaluation to provide misleading results. That is, in the standard Gage R&R study these variations affect the estimate of repeatability, reproducibility, or both. This paper presents a four-factor nested factorial ANOVA model which explicitly considers these variations for the Gage R&R study. The variance component estimators are derived by setting the EMS equations equal to the corresponding mean square from the ANOVA table and solving. And the proposed model is compared with the standard Gage R&R model.

Measurement of solubility and miscibility of R-134a/PAG oil mixture (R-134a/PAG 오일 혼합물의 용해도 및 상용성 측정)

  • 김창년;송준석;박영무
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.4
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    • pp.518-527
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    • 1999
  • The solubility and miscibility measurement apparatus has been developed and used to obtain data for refrigerant/oil mixture. The solubility and miscibility data for R-134a/46 ISO VG Polyalkylen Glycol(PAG) oil mixture are obtained over the temperature range from -20 to 6$0^{\circ}C$ with a 1$0^{\circ}C$ interval and the oil concentration range from 0 to 90wt%. Using the experimental data, an empirical model is developed to predict the solubility relations for R-134a/PAG oil mixture at equilibrium. The average root-mean-square deviation between measured data and calculated results from the empirical model is 4.2%. Raoult's rule and Flory-Noggins theory are also used to predict mixture behavior. Immiscibility is observed for R-134a/46 ISO VG PAG oil mixture at low oil concentrations of 4.6, 10.1, and 20.4wt%.

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Evaluation of Measurement Precisions Using Approximate F Tests and EMS in the Gauge R&R Studies (게이지 R&R 연구에서 근사 F검정과 EMS를 이용한 측정 정밀도의 평가)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.11 no.3
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    • pp.209-216
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    • 2009
  • A development in method of evaluating the measurement precisions using approximate F tests and variance components from expected mean square (EMS) is investigated. The research proposes three-factor mixed measurement models with the fixed and random factors. Unrestricted and unconstrained design work was rarely studied, while restricted and constrained designs have been significantly discussed. The unrestricted and unconstrained designs assume to be an independence of interaction. The proposed evaluation method about the measurement precisions can be extended to four-factor random measurement model or mixed measurement model. The study also presents the three evaluation indexes of precisions such as R&RTR (Reproducibility & Repeatability-To-Total Precision Ratio), PTR (Precision-To-Tolerance Ratio), and SNR (Signal-To-Noise Ratio). Numerical examples are proposed to evaluate the approximate F tests with Satterthwaite degrees of freedom and three indexes using the measurement precisions from EMS.

LIE IDEALS AND DERIVATIONS OF $\sigma$-PRIME RINGS

  • Shuliang, Huang
    • The Pure and Applied Mathematics
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    • v.17 no.1
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    • pp.87-92
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    • 2010
  • Let R be a 2-torsion free $\sigma$-prime ring with an involution $\sigma$, U a nonzero square closed $\sigma$-Lie ideal, Z(R) the center of Rand d a derivation of R. In this paper, it is proved that d = 0 or $U\;{\subseteq}\;Z(R)$ if one of the following conditions holds: (1) $d(xy)\;-\;xy\;{\in}\;Z(R)$ or $d(xy)\;-\;yx\;{\in}Z(R)$ for all x, $y\;{\in}\;U$. (2) $d(x)\;{\circ}\;d(y)\;=\;0$ or $d(x)\;{\circ}\;d(y)\;=\;x\;{\circ}\;y$ for all x, $y\;{\in}\;U$ and d commutes with $\sigma$.

AGS Distribution of Round-oval and Square-Diamond Rolling of SCM435 Steel (SCM435 강의 라운드-오발 및 스퀘어-다이아몬드 압연 공정에서의 AGS 분포)

  • Lee H. W.;Kwon H. C.;Zahiri S. H.;Hodgson P. D.;Im Y. T.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.08a
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    • pp.317-326
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    • 2004
  • This study investigated tile local austenite grain size (AGS) distribution In rolling of SCM435 steel which is commonly used for high strength bolt. To investigate AGS distribution, round-oval (R-O) and square-diamond (S-D) rolling experiments were carried out with pilot mill. In round-oval rolling, local AGS has a tendency to increase when it goes to outward. In square-diamond rolling, local AGS has a tendency to increase when it goes to free surface. To investigate relation between AGS and process parameter, three dimensional FE analysis was carried out along with rolling experiment. To validate accuracy of FE analysis, we compared deformed geometry with FE result. The AGS prediction combined AGS model with numerical analysis was also carried out for center node of S-D rolling. Although this study brought experimental observation and its qualitative analysis into focus and quantitative AGS prediction will be done as a further work.

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Characteristics of $Ag_x(Ge_2Sb_2Te_5)_{1-x}$ (x= 0, 0.05, 0.1) thin films for PRAM (PRAM을 위한 $Ag_x(Ge_2Sb_2Te_5)_{1-x}$ (x= 0, 0.05, 0.1) 박막의 특성)

  • Kim, Sung-Won;Song, Ki-Ho;Lee, Hyun-Yong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.06a
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    • pp.21-22
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    • 2008
  • In the paper, we report several experimental data capable of evaluating the phase transformation characteristics of $Ag_x(Ge_2Sb_2Te_5)_{1-x}$ (x =0, 0.05, 0.1) thin films. The $Ag_x(Ge_2Sb_2Te_5)_{1-x}$ phase change thin films have been prepared by thermal evaporation. The crystallization characteristics of amorphous$Ag_x(Ge_2Sb_2Te_5)_{1-x}$ thin films were investigated by using nano-pulse scanner with 658 nm laser diode (power; 1~17 mW, pulse duration; 10~460 ns) and XRD measurement. It was found that the more Ag is doped, the more crystallization speed was 50 improved. In comparision with $Ge_2Sb_2Te_5$ thin film, the sheet resistance$(R_{amor})$ of the amorphous $Ag_x(Ge_2Sb_2Te_5)_{1-x}$ thin films were found to be lager than that of $Ge_2Sb_2Te_5$ film($R_{amor}$ $\sim10^7\Omega/\square$ and $R_{cryst}$ 10 $\Omega/\square$). That is, the ratio of $R_{amor}/R_{cryst}$ was evaluates to be $\sim10^6$ This is very helpful to writing current reduction of phase-change random acess memory.

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Statatistical Analysis of Three Sequence-Three Periods Bioequivalence Study : Application to Bioequivalence Test of Ondansetron Formulations ($3{\times}3$ 라틴 방격법 모델에 따른 생물학적 동등성 시험의 통계 해석 : 온단세트론 제제에 대한 적용 예)

  • Lee, Young-Joo;Lee, Myung-Gull;Chung, Suk-Jae;Lee, Min-Hwa;Shim, Chang-Koo
    • Journal of Pharmaceutical Investigation
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    • v.28 no.1
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    • pp.35-42
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    • 1998
  • A $3{\times}3$ Latin square crossover study for the bioequivalence of three ondansetron formulations was conducted. Test products were $Vominon^{\circledR}$ 8 mg and $Vominon^{\circledR}$ 4 mg tablets and reference product was $Zofran^{\circledR}$ tablet. Twenty one healthy Korean male subjects received each formulation at the ondansetron dose of 8 mg and plasma concentrations of ondansetron were monitored by HPLC for over a period of 12 hr after the oral administration. Statistical procedure for bioequivalence evaluation of AUC {e.g., analysis of variance (ANOVA), multiple comparison and confidence intervals} was carried out. There were no significant differences in AUC among the formulations. The confidence intervals for the AUC of $Vominon^{\circledR}$ 8 mg and $Vominon^{\circledR}$ 4 mg were between -0.24 and 15.54% and between -2.41 and 13.36% respectively, within a range that proposed by the Korea Food and Drug Administration Guidelines for Bioequivalence. These statistical procedure could be standardized and generally applicable for the assessment of bioequivalence for multiple (more than two) formulations.

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A Study on Predictive Modeling of I-131 Radioactivity Based on Machine Learning (머신러닝 기반 고용량 I-131의 용량 예측 모델에 관한 연구)

  • Yeon-Wook You;Chung-Wun Lee;Jung-Soo Kim
    • Journal of radiological science and technology
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    • v.46 no.2
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    • pp.131-139
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    • 2023
  • High-dose I-131 used for the treatment of thyroid cancer causes localized exposure among radiology technologists handling it. There is a delay between the calibration date and when the dose of I-131 is administered to a patient. Therefore, it is necessary to directly measure the radioactivity of the administered dose using a dose calibrator. In this study, we attempted to apply machine learning modeling to measured external dose rates from shielded I-131 in order to predict their radioactivity. External dose rates were measured at 1 m, 0.3 m, and 0.1 m distances from a shielded container with the I-131, with a total of 868 sets of measurements taken. For the modeling process, we utilized the hold-out method to partition the data with a 7:3 ratio (609 for the training set:259 for the test set). For the machine learning algorithms, we chose linear regression, decision tree, random forest and XGBoost. To evaluate the models, we calculated root mean square error (RMSE), mean square error (MSE), and mean absolute error (MAE) to evaluate accuracy and R2 to evaluate explanatory power. Evaluation results are as follows. Linear regression (RMSE 268.15, MSE 71901.87, MAE 231.68, R2 0.92), decision tree (RMSE 108.89, MSE 11856.92, MAE 19.24, R2 0.99), random forest (RMSE 8.89, MSE 79.10, MAE 6.55, R2 0.99), XGBoost (RMSE 10.21, MSE 104.22, MAE 7.68, R2 0.99). The random forest model achieved the highest predictive ability. Improving the model's performance in the future is expected to contribute to lowering exposure among radiology technologists.

A Study of Gage R&R Analysis Considering the Variations of Between-Within Group and Within Part (군간-군내-부품내 변동을 고려한 Gage R&R 분석에 관한 연구)

  • Lee, Seung-Hun;Lee, Chang-U
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.975-982
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    • 2005
  • The purpose of the Gage R&R study is to determine whether a measurement system is adequate for monitoring a process. If the measurement system variation is small relative to the process variation, then the measurement system is deemed 'adequate'. The sources of variation associated with the measurement system are compared using an analysis of variance (ANOVA) model, in general. A typical ANOVA model used in a standard Gage R&R study is the two-factor random effect model. Then, the ANOVA partitions the total variation into three categories: repeatability, reproducibility, part variation. However, if the process variation possesses the between group variation, within group variation, and within-part variation, these variations can cause the measurement system evaluation to provide misleading results. That is, in the standard Gage R&R study these variations affect the estimate of repeatability, reproducibility, or both. This paper presents a four-factor nested factorial ANOVA model which explicitly considers these variations for the Gage R&R study. The variance component estimates are derived by setting the EMS equations equal to the corresponding mean square from the ANOVA table and solving. And the proposed model is compared with the standard Gage R&R model.

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Evaluation of R/C Short Columns Strength by Concrete Compressive Strength and Transverse Reinforcement Ratios (콘크리트 압축강도와 띠철근의 체적비에 따른 R/C 단주의 내력평가)

  • 김경회;김재환;한범석;반병열;이광수;신성우
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.10a
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    • pp.505-508
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    • 1999
  • To evaluate the strength of square reinforced concrete shot columns, thirty specimens were manufactured and tested under monotonically increasing concentric compression. The test parameters included the volumetric ratio of transverse reinforcement($\rho$h = 0.49~2.65), and concrete compressive strength (234, 437, 704 kgf/$\textrm{cm}^2$). Test results are shown that : (1) Behavior of high -strength concrete column is improved by providing increased volumetric ratio; and (2) ACI, Eq. is not proper to evaluate HSC short column strength.

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