• 응용통계연구
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• 제31권1호
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• pp.97-108
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• 2018

회귀모형을 이용하여 자료를 분석하는 경우 이상점이나 영향점의 유무를 검정하는 회귀진단기법은 모형의 적합성을 체크하기 위한 필수적인 도구이다. 이러한 이상점이나 영향점이 존재하는 경우 회귀분석의 결과가 왜곡되어 해석이 된다. Jang과 Anderson-Cook (Quality and Reliability Engineering International, 30, 1409-1425, 2014)은 불꽃그림이란 이름을 붙인 그래픽 방법를 제시하였는데 관측값에 부여된 가중치를 1에서 0으로 변화함에 따라 이상점이나 영향점이 회귀계수 및 잔차제곱합에 어떠한 영향을 미치는지 살펴 보았다. 본 연구에서는 다반응 반응표면분석에서 이러한 불꽃그림을 적용하여 보고자 한다.

• Applied Biological Chemistry
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• 제40권3호
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• pp.225-231
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• 1997

임의로 선정되어진 국산두부콩과 수입두부콩들의 물성 및 색도에 대한 최적화이론을 적용하였다. 제조한 두부의 파손강도와 응력완화현상은 rheometer를 사용하여 측정하였으며, 색도는 colorimeter를 이용하였다. 각 두부콩들의 효과는 수식화된 non-linear canonical regression mpdel로 표현하였으며 각 콩들의 기여도는 trace plot으로 나타내었다. 국산콩은 그 첨가량이 증가할수록 두부의 파손강도는 다른 수입콩보다 우월하게 나타나 두부조직의 강도에는 뛰어남을 보여주었으나 두부조직의 점탄성에 있어서는 약간 뒤떨어짐을 보여주었으며 색감에서는 크게 뒤지는 것으로 나타나서 선정된 물성반응에 대하여 선별적인 경쟁력을 가짐을 보여주었다. 그러나 국산콩의 흡습능력은 수율에 결과적으로 영향을 주며 이를 새로운 반응치로 최적화이론에 적용하였고 그 결과 가격경쟁과 반응에 대한 취약점을 보완하여 최적화된 결과에 기여함을 보여주었다. 이와같은 국산두부콩과 수입두부콩의 최적화된 배합비율은 수율과 가격이라는 두 양립되는 목적함수로써 발산함을 보여 주었으며 이를 수렴시키기 위하여서는 가증치도입과 국산콩의 흡습능력조절에 대한 가공공정의 새로운 연구가 필요하며 이에 대한 조절이 품질향상에 기여할 수 있음을 보여 주었다.

• 한국식품과학회지
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• 제31권2호
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• pp.385-390
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• 1999

혼합실험계획법에 의해 율무-밀가루-물을 사용하여 국수를 제조하였다. 제조한 국수에 대해서 인장응력(tensile stress)과 색도($L^{*}$)를 측정하였고 또 다른 제약 조건으로 관능검사를 실시하여 통계학적인 모형으로 나타내었다. 선형 및 비선형 모델로서 분석한 결과 인장응력과 $L^{*}(lightness)$값, 관능검사는 선형성을 나타내어 각 성분간에 상호작용이 존재하지 않아 독립적으로 작용함을 보여 주었다. 반응에 영향을 미치는 성분과 그 반응을 trace plot을 이용하여 살펴본 결과 율무의 양이 증가함에 따라 국수의 인장응력을 어느 정도 증가 시켰으나, $L^{*}$값을 감소시키며 관능적 품질을 떨어뜨리는 경향을 나타내었다. 모든 인장응력, $L^{*}$값과 관능검사의 값들을 국수의 조건에 만족시키는 범위에서 least cost linear programming에 적용시 최소 가격에 따른 율무 : 밀가루 : 물의 비율이 각각 2.27% : 66.28% : 28.45%의 최적의 배합비 얻었으며, 그 때의 최소 가격은 9.924이고 예상되는 반응결과는 인장응력이 2.234 N, $L^{*}$값은 82.39로 예측되었고, Excel을 이용하여 함량에 따른 예상되는 반응결과를 screen화하였다.

• 한국방사성폐기물학회:학술대회논문집
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• 한국방사성폐기물학회 2004년도 Proceedings of the 4th Korea-China Joint Workshop on Nuclear Waste Management
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• pp.28-41
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• 2004

The study is aimed to assess the usefulness of the mixture design for spent resin immobilization in cement. Although a considerable amount of research has been carried out to determine the limits for the composition of an acceptable resin-cement mixture, no efficient experimental strategy exists that explores the full properties of waste form against composition relationship. In order to gain an overall view, this report introduces the method of mixture design and mixture analysis, and describes the design of experiment of the 5-component mixture with the constraint conditions. The mathematic models of 28-day compressive strength varying with the ingredients are fitted, and the main effect and interaction effect of two ingredients are identified quantitatively along with the graphical interpretation using the response trace plot and contour plots.

• 산업공학
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• 제19권2호
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• pp.117-123
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• 2006

Many products, such as gasoline, polymer plastics, alloys, and ceramics are manufactured by mixing two or more ingredients or components. When we are to develop new mixture products, we must deal with a long list of potentially important component variables. This paper introduces some mixture screening designs, analysis tools for screening important variables, and a guideline for applying these analysis tools. The results of this paper will be helpful to engineers who work in the research and development sector of mixture product industries.

• 한국식품조리과학회지
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• 제25권2호
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• pp.234-242
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• 2009

This study was performed to find the optimum ratio of ingredients for the manufacture of kiwifruit jam. The experiment was designed according to the D-optimal design of RSM (response surface methodology), which included 18 experimental points with 4 replicates for three independent variables (sugar $35{\sim}60%$, pectin $0.1{\sim}1.0.%$, kiwifruit paste $0.37{\sim}0.90%$). The compositional and functional properties of the prepared products were measured, and these values were applied to mathematical models. A canonical form and trace plot showed the influence of each variable on the quality attributes of the final product mixture. By use of the F-test, viscosity, color values (L, a, b), and sensory characteristics (color) were expressed by a linear model, while the L color value and select sensory characteristics (smell, taste, overall acceptance) were also expressed by a quadratic model. The optimum formulations by the numerical and graphical methods, were similar, and with the numerical method it presented as: sugar, pectin, and barley sproutling powder at 49.7%, 0.5%, and 0.6%, respectively. The above results demonstrate the feasibility of preparing kiwifruit jam added with barley sproutling powder, and therefore, the commercialization of a kiwifruit jam marketed as a functional food is deemed possible.

• 한국식품조리과학회지
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• 제28권1호
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• pp.67-76
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• 2012

This study examined the optimal ingredient mixing ratio for the preparation of steamed cake containing mugwort (Artemisia princeps var. orientalis) powder. After preliminary studies, the following ingredient ranges were determined; 110~129% sugar, 3~8% mugwort powder, 10~25% oil. Among the different mixture designs, the D-optimal design was chosen for analysis. The results of F-test, specific gravity, viscosity, volume and color values (L, a, b), hardness decided a linear model, while the sensory characteristics (color, taste, texture and overall acceptance) decided a quadratic model. The fitness analysis results showed that in all characteristic, the probabilities were significant within 0.05%; thus, the models were accepted as appropriate. The response surface and trace plot results showed that increasing amounts of mugwort powder decreased the brightness, and increased redness and yellowness. As the level of added oil increased, the softness of the cake increased. Cake samples received low sensory evaluation scores when sugar, mugwort powder, and oil were added above their optimal levels. The optimum formulations by the numerical and graphical methods, were similar, and with the numerical method presented as: sugar, mugwort powder, and oil at 120.7%, 5.1%, and 16.2%, respectively(flour weight basis). The above results demonstrate the feasibility of adding mugwort powder to sponge cake, and therefore, the commercialization of mugwort powder cake marketed as a functional food is deemed possible.

• 한국식품조리과학회지
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• 제25권3호
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• pp.317-329
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• 2009

In the study, we determined the optimal ingredient mixing ratio for the preparation of sponge cake containing bamboo (Pseudosasa japonica Makino) leaves. This experiment was designed in according with the D-optimal design of mixture design, which involved 14 experimental points including 4 replicates for three independent variables (sugar 110${\sim}$129%, bamboo leaves 3${\sim}$8%, oil 10${\sim}$25%). The results the F-test, specific gravity, volume and color values (L, a, b) decided a linear model, while the viscosity, hardness and sensory characteristics (color, smell, taste, texture and overall acceptance) decided a quadratic model. The results of our fitness analysis demonstrated that in all characteristic, the probabilities were significant within 0.05%; thus, the models were accepted as appropriate. The response surface and trace plot results demonstrated that increasing amounts of added bamboo leaves induced a reduction in brightness, and increasing redness and yellowness. In addition, increasing amounts of bamboo leaves caused increases in hardness, and thus the softness of the cake decreased. And as the level of added oil increased, softness increased. Cake samples received low sensory evaluation scores when sugar, bamboo leaves, and oil were added above their optimal levels. In the numeric optimization, the optimal ingredient amounts were 121.36% sugar, 4.96% bamboo leaves, and 15.69% oil. The above results demonstrate the feasibility of adding bamboo leaves to sponge cake, and therefore, a bamboo leaves as a functional food.

• 동아시아식생활학회지
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• 제23권2호
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• pp.218-226
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• 2013

This study examined the optimal mixture ratio of rice gruel supplemented with puffed rice by mixture design. The quality characteristics of rice gruel samples were examined according to mixture ratios at eleven experimental points. The high soluble solid content and viscosity of gruel samples were significantly dependent on rice (short grain) content instead of glutinous rice. The viscosity ranged from $2,891{\sim}9,153\;cP{\cdot}s$ and soluble solid content ranged from $8.23{\sim}10.13^{\circ}Brix$ at the eleven experimental points. The mixture with the highest solid content and viscosity, 12% rice gruel sample was $10.10{\sim}10.13^{\circ}Brix$ and $9,150{\sim}9,153\;cP{\cdot}s$. The L color of sample decreased with decreasing rice content, while "a" (redness) and "b" (yellowness) values slightly increased. In the sensory evaluation, samples with higher amount of puffed rice and glutinous rice scored higher for brown color, flavor and sweetness than high-content rice samples. The response surface and trace plot results showed that increasing of puffed rice increased the brown color, sweet taste and sticky aftertaste. From the results of the F-test, viscosity, "a" (redness) and "b" (yellowness) values fit a quadratic model with significant probabilities within 0.05%. The optimum predicted formulations of rice gruel containing puffed rice were 1.69% of puffed rice, 0.47% of glutinous rice and 9.84% of rice, respectively.

• 생명과학회지
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• 제25권3호
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• pp.329-335
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• 2015

호흡기계 질환에 효과적이라고 알려져 있는 식물성분들을 이용하여 기능성 음료를 개발하고자, 혼합물 실험계획법을 통해 혼합 최적 비율을 찾기 위한 실험을 수행하였다. 즉, 머위 30~70%, 수세미 10~30% 및 어성초 10~30%의 비율로 혼합하여 중앙점 반복을 포함하여 총 12개의 실험점을 설계하였고, 이 설계를 바탕으로 혼합물은 121℃에서 45분간 중탕 추출을 하여 anti-allergy activity 및 anti-microbial activity를 측정하였다. anti-allergy activity 효과는 Response surface와 trace plot을 보면 머위의 함량이 많을수록 좋은 효과를 나타내었고 수세미는 다소약한 영향을 미친다는 것을 알 수 있었다. 다중회귀분석 결과 상관계수 R²=82.10%이며 유의적인 회귀식으로 설명이 가능한 것으로 확인되었다. 따라서 최적비율은 머위 0.75, 수세미 0.14 그리고 어성초 0.11의 비율로 결정되었다. anti-microbial activity는 혼합비율에 따른 각 추출물들이 그람양성균인 Staphylococcus aureus (KCCM 40881), Staphylococcus epidermidis (KCCM 35494)에 대해서는 유효하나 그람음성균인 Escherichia coli (KCCM 11234), Pseudomonas aeruginosa (KCCM 11328)에 대해서는 미미하거나 효과가 나타나지 않았다.