• Title/Summary/Keyword: Latin Square Method

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Evaluating the efficiency of treatment comparison in crossover design by allocating subjects based on ranked auxiliary variable

  • Huang, Yisong;Samawi, Hani M.;Vogel, Robert;Yin, Jingjing;Gato, Worlanyo Eric;Linder, Daniel F.
    • Communications for Statistical Applications and Methods
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    • 제23권6호
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    • pp.543-553
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    • 2016
  • The validity of statistical inference depends on proper randomization methods. However, even with proper randomization, we can have imbalanced with respect to important characteristics. In this paper, we introduce a method based on ranked auxiliary variables for treatment allocation in crossover designs using Latin squares models. We evaluate the improvement of the efficiency in treatment comparisons using the proposed method. Our simulation study reveals that our proposed method provides a more powerful test compared to simple randomization with the same sample size. The proposed method is illustrated by conducting an experiment to compare two different concentrations of titanium dioxide nanofiber (TDNF) on rats for the purpose of comparing weight gain.

제올라이트와 석분 및 슬러지를 이용한 천장재의 개발에 관한 기초적 연구 (The Fundamental study on Development of Ceiling materials using the Zeolite and Stone dust, Sludge)

  • 임병호;류희정;최영준;이승조;김태곤;박정민;김화중
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1997년도 가을 학술발표회 논문집
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    • pp.777-784
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    • 1997
  • This paper is fundamental study to develop ceiling materials, using the properties of Zeolite, stone dust and sludge for the purpose of prevention of environmental pollution and reuse of industrial wastes. According to latin square method, We estimated to the significant level ad optimum level for a significant factor, and investigated to the significant degree to extend each factor for required capacity. Thus, we investigated for required capacity in ceiling material such as, compressive and bending strength, absorptivity and thermal conductivity.

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Comparison of Inbred Lines Within Two Groups

  • Park, Kuey-Chung
    • International Journal of Reliability and Applications
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    • 제3권3호
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    • pp.125-132
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    • 2002
  • Sometimes we have two groups of inbred lines and there are only interest in gca comparisons within two groups of lines of sizes$\P_1$ and $\P_@$, not between two groups. For example, suppose there two Lab, each of the 2 Labs have obtained the best line. For this purpose we now give a method of constructing block designs for diallel cross experiments and we will explain how to calculate efficiency. Then we show the efficiencies in the table.

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LH-OAT 민감도 분석과 SCE-UA 최적화 방법을 이용한 SWAT 모형의 자동보정 (Automatic Calibration of SWAT Model Using LH-OAT Sensitivity Analysis and SCE-UA Optimization Method)

  • 이도훈
    • 한국수자원학회논문집
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    • 제39권8호
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    • pp.677-690
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    • 2006
  • 본 연구에서는 LH-OAT (Latin Hypercube Ore factor At a Time) 민감도분석 방법과 SCE-UA (Shuffled Complex Evolution at University of Arizona) 최적화 기법을 적용하여 보청천 유역에서 SWAT모형에 대한 자동보정 방법을 제시하였다. LH-OAT 방법은 전역 민감도분석과 부분 민감도 분석의 장점을 조합하여 가용매개변수 공간에 대하여 효율적으로 매개변수의 민감도 분석이 가능하게 하였다. LH-OAT민감도 분석으로부터 결정된 매개변수의 민감도 등급은 SWAT 모형의 자동보정 과정에서 요구되는 보정대상 매개변수의 선택에 유용하게 적용될 수 있다. SCE-UA 방법을 적용한 SWAT모형의 자동보정 해석결과는 보정자료, 보정매개변수, 통계적 오차의 선택에 따라서 모형의 성능이 좌우되었다. 보정기간과 보정매개변수가 증가함에 따라 검증기간에 대한 RMSE (Root Mean Square Error), NSEF (Nash-Sutcliffe Model Efficiency), RMAE (Relative Mean Absolute Error), NMSE (Normalized Mean Square Error) 등의 모형오차는 감소하였지만, NAE (Normalized Average Error) 및 SDR(Standard Deviation Ratio)은 개선되지 않았다. SWAT모형의 보정에 적용되는 보정자료, 보정매개변수 및 모형평가를 위한 통계적 오차 선택이 해석결과에 미치는 복잡한 영향을 이해하기 위하여 다양한 대표유역을 대상으로 추가적인 연구가 필요하다.

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

  • 이영주;이명걸;정석재;이민화;심창구
    • Journal of Pharmaceutical Investigation
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    • 제28권1호
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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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실험계획법에 의거한 콘크리트의 압축강도 및 건조수축에 대한 실험 연구 (An Experimental Study on the Compressive Strength and Shrinkage of Concrete according to Experimental Planing Method)

  • 윤석현;정경운;임병호;김태곤;박정민;김화중
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 봄 학술발표회 논문집
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    • pp.313-318
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    • 2000
  • This paper was to investigate the effect of component material to cause drying shrinkage of concrete. The latin square method was used in analysis of experimental results. The experimental factor was W/C, W/A, F.M and the level was divided into four step and the be analyzed. Compressive strength was mainly dependent in W/C through 90% F-verification. Drying shrinkage was mainly dependent on W/C in warly age through the same method, but not in later age. S/A, F.M did not affect compressive strength and drying shrinkage of concrete in all age.

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직물의 보온성에 관한 연구(II) -의복의 개구위치 및 개구면적의 영향- (A Study on the Warmth Keeping Properties of Fabrics(II) -Effect of Opening conditions and areas of clothes-)

  • 김태훈
    • 한국의류학회지
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    • 제5권2호
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    • pp.63-68
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    • 1981
  • Succeding to Report I, to determine the effect of opening conditions and areas of clothes ($10\%,\;20\%,\;30\%,\;40\%$ of total area) on the warmth keeping properties, cooling method was employed by using Latin Square Design, The following results were obtained: 1) The warmth keeping ratio was varied with the opening conditions and the: order was downward, upward, horizontal and up & downward opening 2) The size of opening areas was in inverse proportion to the warmth keeping ratio, 3) In the horizontal opening, the thickness of air layers in clothes did not effect on the warmth keeping ratio.

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닭사료의 섬유소 정량분석방법 개발에 관한 연구 (A Study on the Development of a Quantitative Analytical Method of Chicken Dietary Fiber)

  • 남기홍;성창환
    • 한국가금학회지
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    • 제21권2호
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    • pp.73-82
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    • 1994
  • A study was conducted to develop a new analytical method to quantitate chicken dietary fiber (CDF). Four types of grain diets and 2 types of forages were used. Three broiler chicks at eight weeks of age were used in the Latin square design to estirnate the in vivo digestibility. Six quantitative analytical methods (Southgate method, total dietary fiber or TDF, acid detergent fiber or ADF, neutral detergent fiber or NDF, crude fiber or CF) including CDF were compared in this study. ADF, NDF and CF contained the lowest amount of the unavailable carbohydrate(UC). The value of TDF was higher than the values of ADF, NDF and CF and lower than CDF and the Southgate method. The value of NDF showed the lower values than the CDF, Southgate fiber and TDF. The recovery rate of the fiber in the feces was high in the TDF, ADF, NDF and CF, while CDF and Southgate fiber showed lower recovery rates. TDF, NDF, ADF, or CF can replace chromium in the digestibility test, while the CDF and Southgate fiber can not replace chrorniurn. The digestibility of TDF, NDF, ADF and CF in the chicken showed negative values or values close to zero depending on the types of feed but the digestibility of CDF and Southgate fiber showed relatively high positive values.

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Quantitative Analysis of Tiropramide in Human Blood by Gas Chromatography with Nitrogen-Phosphorus Detector

  • Kwon, Oh-Seung;Park, Young-Jin;Ryu, Jae-Chun;Chung, Youn-Bok
    • Archives of Pharmacal Research
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    • 제26권5호
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    • pp.416-420
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    • 2003
  • The analytical method of antispasmodic agent tiropramide {$(\pm)\alpha$-(benzoylamino)-4-[2-(diethylamino)ethoxy]-N,N-dipropylbenzenepropanamide hydrochloride} was developed by gas chromatography/nitrogen-phosphorus detector (GC/NPD) in human plasma. Two kinds of tiropramide tablets were orally administered to volunteers by Latin square crossover design, and blood was withdrawn as designed schedule. The plasma of 1 mL was loaded on Sep-pak $C_{18}$ cartridge and eluted with methanol after washing with 30% methanol. The residue dissolved in 100 $\mu$L of methanol after evaporation was analyzed by GC/NPD. Precision (CV%) of intra-day was located within 2.6% and accuracy was less than 9.7%. Inter-day precision was below 8.7% and accuracy was relatively good as less than 14%. Plasma samples obtained from human volunteers were analyzed for the determination of tiropramide concentration by using this method. The method was sensitive, rapid and suitable enough to be applied for pharmacokinetic and bioequivalence studies of tiropramide in human volunteers.