• Communications for Statistical Applications and Methods
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• v.2 no.1
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• pp.64-73
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• 1995

혼합물 실험계회긔 확장시 기존의 연구들은 D-최적계획을 중심으로 전개되어 왔다. 이러한 판정기준들은 실험계획의 전 영역에 걸친 성능의 정도를 알아내는 데는 한계가 있다. 이러한 단점을 극복하기 위하여 하나의 그래픽 방법을 제안하였다. 혼합물 실험 계획에서 결측값이 발생하는 경우에도 이 그래픽 방법을 이용할 수 있다.

• Communications for Statistical Applications and Methods
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• v.3 no.2
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• pp.93-102
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• 1996

혼합물 실험에서 실험의 조건이 균질하지 않은 경우, 블럭화를 주로 행한다. 이런 블럭화가 이루어 질때 추정반응값 분산그림을 이용하여 각 구성성분에 제약이 없는 경우와 제약이 있는 경우 각각에 대하여 블럭화가 실험계획의 추정반응값 분산에 어떤 영향을 미치는지 알 수 있는 그래픽 방법을 제안하였다. 이 방법을 통하 여 혼합물 실험에서 블럭화의 효과를 각 구성 성분에 대하여 알아볼 수 있다. 또한, 어떤 블럭화가 추정반응값 분산의 증가를 최소화할 수 있는 지를 그림을 이용하여 비교, 검토할 수 있게 된다.

• Journal of the Korean Applied Science and Technology
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• v.41 no.2
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• pp.318-328
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• 2024

In this study, we enhanced the emulsifying power and solubilization of sucrose stearate (SS) by creating mixtures with sodium deoxycholate (SDOC) and PEG-40 hydrogenated castor oil (HCO). We employed the design of mixture experiments (DOME) methodology to identify the optimal composition of the mixture, and the impact of varying the mixture composition on its characteristics was examined through regression analysis of the experimental data. It was revealed that the emulsifying power for coconut oil was most improved when only SDOC was added to SS, and solubilization was most improved when only HCO was added, while the emulsifying power for cetyl ethylhexanoate (CEH) was most significantly improved when SDOC and HCO were added together. As a result of simultaneous optimization of three characteristics, emulsifying power for each of coconut oil and CEH, and solubilization, the optimal surfactant mixture composition was determined as SS 0.7939, SDOC 0.0586, and HCO 0.1475.

• The Korean Journal of Applied Statistics
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• v.27 no.4
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• pp.629-643
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• 2014

It is common to check the validity of an assumed model with the heavy use of diagnostics tools when conducting data analysis with regression techniques; however, outliers and influential data points often distort the regression output in undesired manner. Jang and Anderson-Cook (2013) proposed a graphical method called a firework plot for exploratory analysis that could visualize the trace of the impact of possible outlying and/or influential data points on individual regression coefficients and the overall residual sum of squares(SSE) measure. They developed 3-D plot as well as pair-wise plot for the appropriate measures of interest. In this paper, the approach was extended further to tell the strength of their approach; in addition, a more meaningful interpretation was possible by adding a measure not mentioned in their paper. This approach was applied to the mixture experiment because we felt that a detailed analysis of statistical measure sensitivity is required in a small experiment.

• Applied Chemistry for Engineering
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• v.32 no.5
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• pp.574-580
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• 2021

The main goal of this study was to find an optimal surfactant mixture composition for the development of the best performing cleansing products. Three different surfactants including sodium cocoyl alaninate (SCoA), cocamidopropyl betaine (CPB), and decyl glucoside (DG) were selected, which showed excellent properties in detergency, foaming height, and contamination rate through preliminary experiments. The experiments by simplex centroid design matrix for surfactant mixtures were performed, and the regression analysis was conducted with the experimental data. Surface response model equations, which is statistically significant (p < 0.05), were obtained. The optimal composition of the surfactant mixture was also determined as SCoA (0.22), CPB (0.78), and DG(0.00) from simultaneous optimization of three response variables.

• Composites Research
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• v.34 no.5
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• pp.330-336
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• 2021

Alumina powder is one of the widely used materials for industry, but there is a problem that the strength of the product changes depending on the powder packing state. To solve the above problem, previous studies have been conducted to increase the particle packing efficiency, but most of the existing studies analyzed the packing characteristics of millimeter-scale particles, so the physical properties are different from those of the micrometer scale. It is difficult to apply to the micrometer scale. In this paper, a three-step experiment was performed using a statistical method to increase packing using micrometer-scale alumina powder. First, a size combination with high packing and a mixing ratio were selected using the mixture test design method, and an appropriate excitation frequency was selected by analyzing the height change according to the frequency change in the vibration test apparatus. Finally, an alumina powder packing experiment was performed based on the experimental results mentioned above. As a result, it was confirmed that the maximum height variation was 42% higher than the maximum value of the 155 measurements performed when selecting the packing size combination. It is thought that this study will serve as basic data for processing and packing research using fine powder.

• Journal of Industrial Technology
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• v.22 no.A
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• pp.83-87
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• 2002

Many industrial products such as paints, ink and adhesives are composed of the ingredients of a mixture. In mixture experiments, the characteristics of quality(response) depends only on the proportions of the ingredients and does not depend on the total amount of the mixture. This article discusses the constrained mixture experimental design, the data analysis, and the optimum formulation of ingredients based on the two quality characteristics - taste and flavor. It IS shown that efficient designs can be constructed from D-optimal criterion. Special cubic models were selected as the final mixture response surfaces for both reponses. The desirability function was used for the optimization of the two responses.

• Journal of the Korean Applied Science and Technology
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• v.39 no.5
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• pp.623-631
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• 2022

Using the design of experiment (DOE), factors affecting the particle size of hydrated liquid crystalline vesicles containing a high content of ceramide were analyzed and the mixture composition was optimized. Manufacturing temperature, amount of ethanol, and ultrasonic time were selected as the main variables affecting the droplet size of the vesicles, and the effect of these variables on the droplet size was examined through the signal to noise (S/N) ratios of Taguchi method and ANOVA analysis. In addition, mixture composition experiments of three lipid components constituting the vesicle membrane, hydrogenated phosphatidyl choline (HPC), cholesterol (Chol), and ceramide (Cer), were performed according to the simplex central design matrix of the mixture. Regression analysis was conducted with the experimental data to obtain a model equation, and the optimal mixing composition of the three lipid components to minimize the vesicle droplet size was determined as HPC (0.6), Chol (0.1), and Cer (0.3).

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.3
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• pp.1002-1007
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• 2012

The manufacturing method of the pillar is one of the main process where it is used in vacuum glazing and semi-conductor display field. Pillar can be arranged by screen printing method. However it may unable to spread all pattern of metal mask according to the ingredient of the mixture. In addition, spreaded mixture doesn't maintain the original shape according to the viscosity. In this research, the pillar tried to be arranged through the screen printing by using the inorganic compound of the alumina and silica base. This study suggested a method in which it can decrease the test frequency and design the composition of the vacuum glass pillar by using the mixture design.

• Korean Journal of Food Science and Technology
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• v.35 no.4
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• pp.617-622
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• 2003

Experimental designs were applied to optimize the mixture ratio for the extrudate made by soymilk residue and corn grits. Nine candidate points were examined for their significance on extrudate using the modified distance design. Bending force, expansion ratio, bulk density, water solubility index (WSI), water absorption index (WAI) and color $(L^*,\;a^*,\;b^*)$ were the significant factors improving the extruded cereal production, and these values were applied to the mathematical models. Results showed that bending force, expansion ratio WSI, WAI and color $(L^*,\;b^*)$ increased with increasing the corn grits, whereas bulk density tended to decrease. The statistical study showed that the fitted models were adequate to describe the contour plot and all responses. Optimum mixture ratio allowing to maximize the two responses (expansion ratio and $b^*$) and minimize the response (WAI) were examined with a numerical optimization methods. The numerical optimization method was obtained as 53.18% : 46.19% (corn grits : soymilk residue).