• 제목/요약/키워드: $4{\times}4$ latin square

검색결과 259건 처리시간 0.019초

4 × 4 그레코라틴방격모형의 검정력 연구 (Power study for 4 × 4 graeco-latin square design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제23권4호
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    • pp.683-691
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    • 2012
  • $4{\times}4$ 그레코라틴방격모형은 모집단의 분포에 상관없이 주효과 검정을 위한 순위변환 통계량의 검정력이 모수적 통계량의 검정력보다 전체적으로 높은 우위성을 갖는다. 효과크기가 균등간격이 아닌 경우에 주효과 검정을 위한 순위변환 통계량의 검정력은 효과크기가 균등간격인 경우보다 다소 낮지만 모수적 통계량의 검정력에 비하여 월등한 비교우위를 갖는다. 순위변환 통계량의 검정력은 블럭효과의 수가 줄어들거나 효과크기가 작아질수록 모수적 통계량의 검정력보다 월등히 우세함을 보인다. 블럭효과들이 존재할 때는 주효과에 비하여 블럭효과들이 모두 작거나 하나의 블럭효과에 편중된 경우에 순위변화 통계량의 검정력이 모수적 통계량의 검정력보다 더욱 우수하다. 이는 상호작용없이 다인자인 네 개의 주인자 및 블럭인자만으로 구성된 그레코라틴방격모형의 특성에 의한 결과로, 앞으로 구체화하지 못한 다인자로 구성된 요인실험계획모형 등에 확대 적용할 순위변환기법의 가능성을 제시한다.

4 × 4 라틴방격모형 내 2 × 2 요인모형의 검정력 연구 (Power study for 2 × 2 factorial design in 4 × 4 latin square design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제25권6호
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    • pp.1195-1205
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    • 2014
  • 반복이 존재하는 $4{\times}4$ 라틴방격모형 내 $2{\times}2$ 요인모형의 주효과 및 상호작용효과를 검정하기 위한 순위변환 통계량의 검정력은 단일모형에 비하여 효과크기 및 반복크기가 커질수록 빠르게 증가한다. 일반적으로 다양한 효과구성 및 모든 오차항 분포와 상관없이 검정하고자 하는 요인 이외의 효과가 존재하는 요인 수가 적고 효과크기가 작을수록 순위변환 통계량의 검정력은 뛰어나다. 특히 오차항이 지수분포 및 이중지수분포일 때 순위변환 통계량의 검정력은 모수적 통계량의 검정력보다 상대적으로 높은 비교우위를 보이며, 정규분포 및 균일분포에서는 전반적으로 별다른 차이가 없다. 이는 두개의 주효과, 한개의 상호작용효과 및 두개의 블럭효과 등의 다섯 가지 효과가 동시에 존재하는 다인자로 구성된 라틴방격과 요인모형의 결합형태의 특이성으로 인한 결과이다.

라운드-로빈 홈 앤드 어웨이 스포츠 리그 대진표 작성 정규형 라틴 방진 알고리즘 (Canonical Latin Square Algorithm for Round-Robin Home-and-Away Sports Leagues Scheduling)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제18권4호
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    • pp.177-182
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    • 2018
  • 최소 제동 수를 갖는 홈 앤드 어웨이 라운드-로빈 경기일정 대진표를 작성하는 문제는 매우 어려워 NP-난제로 알려져 있다. 본 논문에서는 임의의 팀 수 n에 대해서도 항상 동일한 패턴으로 경기일정 대진표를 O(n) 수행 복잡도로 컴퓨터 프로그램 도움 없이 직접 손으로 작성할 수 있는 알고리즘을 제안하였다. 제안된 알고리즘은 n=even 팀에 대해 $n{\times}n$ 정규형 라틴 방진을 작성하여 대진표를 작성하고, 최소 제동 수가 n-2 가 되도록 홈-어웨이를 배정하였다. 또한, n=odd에 대해서는 n=even 결과에서 최대 제동 수를 갖는 n번째 팀을 삭제하는 방법으로 제동이 전혀 없는 대진표를 작성하였다.

Utilization of Urea-Treated Rice Straw and Whole Sugar Cane Crop as Roughage Sources for Dairy Cattle during the Dry Season

  • Wanapat, M.;Chumpawadee, S.;Paengkoum, P.
    • Asian-Australasian Journal of Animal Sciences
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    • 제13권4호
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    • pp.474-477
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    • 2000
  • Two experiments were conducted to study the use of urea-treated rice straw (UTRS) and whole sugar cane (WSC) crop as roughage sources for dairy cattle during the dry season. Experiment I, four rumen-fistulated dairy crossbred steers were assigned to receive roughage treatments according to a $4{\times}4$ Latin square design: $T_1=urea-treated$ (5%) rice straw, $T_2=UTRS$ and WSC at 75:25% DM, $T_3=UTRS$ and WSC at 25:75% DM, and $T_4=WSC$. Experiment II, three rumen fistulated, late lactating multiparous Holstein-Friesian crossbreds were randomly allotted to a $3{\times}3$ Latin square design to receive three types of roughages; $T_1=WSC$, $T_2=UTRS$, $T_3=WSC+UTRS$ at 50:50% DM. It was found that combination of UTRS and WSC at 75:25 ratio significantly increased DM intake while intake of WSC alone was lowest. Moreover, inclusion of UTRS into WSC enhanced digestibilites (Exp. I). In Exp. II, combination of UTRS with WSC at 50:50 ratio (DM) enhanced DM intake (kg/d) (p<0.05) and especially milk yield, milk fat and protein percentages. The findings suggest the combined use of WSC and UTRS improved the feeding values of these roughages for dairy cattle during the dry season.

재귀원형군에서 병렬 경로 알고리즘의 설계 (The Design of Parallel Routing Algorithm on a Recursive Circulant Network)

  • 배용근;박병권;정일용
    • 한국정보처리학회논문지
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    • 제4권11호
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    • pp.2701-2710
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    • 1997
  • 재귀원형군은 마이크로 프로세스의 모델로서 활발하게 연구되고 있으며 특히 슈퍼컴퓨팅 분야에서 많은 관심을 불러 일으키고 있다. 본 논문에서는 재귀원형군에서 메시지의 경로 설정을 연구하는데 이는 네트워크의 성능 평가에 중요한 기준이 된다. 재귀원형군에서 출발 노드에서 목적 노드까지 m개의 패킷을 m개의 경로를 따라서 동시에 전송하고자 한다. 이 때 i번째의 패킷은 i번째의 경로를 따라서 전송된다. $(o{\leq}i{\leq}m-1)$. 모든 패킷들이 목적 노드에 신속하고 안전하게 도달하기 위해서 i번째의 경로는 disjoint해야 한다. 이들 경로들을 설계하기 위해서 Hamiltonian Circuit Latin Square(HCLS)를 재귀원형군에 적용시켜서 $O(n^2)$ 병렬 경로 알고리즘을 제안한다.

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사료 내 에너지 수준 및 비테인 첨가 급여가 고온기 육성돈의 영양소 소화율 및 생리학적 변화에 미치는 영향 (Effects of Dietary Energy and Levels of Betaine on Nutrient Digestibility and Physiological Responses in Growing Pigs with Heat Stress)

  • 민예진;정용대;김두완;이수협;김기현;유동조;김영화
    • 동물자원연구
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    • 제28권2호
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    • pp.56-63
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    • 2017
  • 본 연구는 고온기 때 사료 내 다른 에너지 수준 및 비테인 첨가 급여가 육성돈의 영양소 소화율 및 생리학적 변화에 미치는 영향을 구명하기 위해 실시하였다. 실험동물은 삼원교잡종($L{\times}Y{\times}D$; initial body weight, $73.5{\pm}0.5kg$) 거세 수퇘지 12두를 사용하였고 대사틀에 배치하였다. 실험기간은 고온기인 7~8월에 실시하였다. 실험계획은 에너지 2수준(3,300 및 3,400kcal/kg)과 비테인 2수준(0 및 0.5%)이며 $4{\times}4$ Latin square로 하였다. 조단백질 소화율은 고에너지 사료(3,400kcal/kg)가 저에너지 사료보다 유의적으로 높았다(p<0.01). 그러나, 비테인급여는 영양소소화율에 영향을 미치지 않았다. 혈액생화학적 분석 결과에서는 에너지 수준 및 비테인 첨가가 육성돈 내 생리적 변화를 보이지 않았다. 면역반응을 나타내는 혈중 IgG에서는 고에너지 사료가 저에너지사료보다 높았으나(p<0.05) 스트레스 지표를 나타내는 cortisol농도에서는 차이가 나지 않았고, 비테인 첨가급여는 IgG 및 cortisol 농도 변화를 나타내지 않았다. 결론적으로 사료 내 비테인 첨가급여보다 에너지 수준을 높이는 것이 돼지 체내에 더 긍정적인 효과를 보이며, 여름철 고온스트레스를 받는 돼지 사료 내 고에너지를 급여했을 때 어떠한 결과가 나오는지 추후 더 연구해 볼 만한 것으로 사료된다.

$3{\times}3$ 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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Determination and prediction of digestible and metabolizable energy concentrations in byproduct feed ingredients fed to growing pigs

  • Son, Ah Reum;Park, Chan Sol;Kim, Beob Gyun
    • Asian-Australasian Journal of Animal Sciences
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    • 제30권4호
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    • pp.546-553
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    • 2017
  • Objective: An experiment was conducted to determine digestible energy (DE) and metabolizable energy (ME) of different byproduct feed ingredients fed to growing pigs, and to generate prediction equations for the DE and ME in feed ingredients. Methods: Twelve barrows with an initial mean body weight of 31.8 kg were individually housed in metabolism crates that were equipped with a feeder and a nipple drinker. A $12{\times}10$ incomplete Latin square design was employed with 12 dietary treatments, 10 periods, and 12 animals. A basal diet was prepared to mainly contain the corn and soybean meal (SBM). Eleven additional diets were formulated to contain 30% of each test ingredient. All diets contained the same proportion of corn:SBM ratio at 4.14:1. The difference procedure was used to calculate the DE and ME in experimental ingredients. The in vitro dry matter disappearance for each test ingredient was determined. Results: The DE and ME values in the SBM sources were greater (p<0.05) than those in other ingredients except high-protein distillers dried grains. However, DE and ME values in tapioca distillers dried grains (TDDG) were the lowest (p<0.05). The most suitable regression equations for the DE and ME concentrations (kcal/kg on the dry matter [DM] basis) in the test ingredients were: $DE=5,528-(156{\times}ash)-(32.4{\times}neutral\;detergent\;fiber\;[NDF])$ with root mean square error = 232, $R^2=0.958$, and p<0.001; $ME=5,243-(153 ash)-(30.7{\times}NDF)$ with root mean square error = 277, $R^2=0.936$, and p<0.001. All independent variables are in % on the DM basis. Conclusion: The energy concentrations were greater in the SBM sources and were the least in the TDDG. The ash and NDF concentrations can be used to estimate the energy concentrations in the byproducts from oil-extraction and distillation processes.

Utilization of Faba Bean (Ficia faba) By-Products as Feed Ingredients for Lactating Cows

  • Al-Saiady, M.Y.
    • Asian-Australasian Journal of Animal Sciences
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    • 제11권3호
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    • pp.255-259
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    • 1998
  • Sixteen Friesian Cows were allocated equally into 4 groups in a $4{\times}4$ Latin square design to evaluate the effects of utilizing bean by-products on the feed intake and milk production. Cows were fed on 4.5% of their body weight fresh alfalfa; the remainder of their requirements were covered by one of 4 experimental concentrate treatments: 1) commercial concentrate (CC), 2) 70% CC + 30% bean hulls (BH), 3) 70% CC + 30% Polished bean (PB) and 4) 70% CC+ 15% BH + 15% PB. Results showed that the inclusion of bean hulls at 30% improved (p<0.05) milk yield, 4% fat corrected milk yield, feed conversion ratio and fat percent of the milk over the other treatments. Feeding cows on a commercial concentrate plus 30% BH or 30% PB or 15% from each of BH and PB decreased the cost of feed per kg milk by 13.6, 2.5 and 1.3 %, respectively, lower than those fed on the commercial concentrate.

Nitrogen Balance in Goats Fed Flemingia (Flemingia Macrophylla) and Jackfruit (Artocarpus Heterophyllus) Foliage Based Diets and Effect of a Daily Supplementation of Polyethylene Glycol (PEG) on Intake and Digestion

  • Mui, Nguyen Thi;Ledin, Inger;Uden, Peter;Binh, Dinh Van
    • Asian-Australasian Journal of Animal Sciences
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    • 제15권5호
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    • pp.699-707
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    • 2002
  • Diets with foliage of Flemingia (Flemingia macrophylla) or Jackfruit (Artocapus heterophyllus were fed to goats with the objective to study nitrogen (N) balance and effect of a daily supplementation of polyethylene glycol (PEG) on intake and digestion. In experiment 1, three male Alpine${\times}$Jamnapary goats with initial weights varying from 26.9 to 27.7 kg were used in a $3{\times}3$ Latin square design in the dry season. Three Alpine${\times}$Bachthao crosses, 15.3-16.7 kg, were used in the same design in the wet season. The three diets were based on chopped whole sugar cane complemented with the two green foliages, Jackfruit and Flemingia, or soybean meal (SBM). The level of dry matter (DM) offered was 4% of body weight (BW), 2.7% as foliage and 1.3% as chopped whole sugar cane. The amount of SBM offered was calculated to give the same amount of crude protein (CP) as the foliages. Each experimental period lasted 32 days (14 days for adaptation, 7 days for collection and 10 days for rest). Feed intake, apparent digestibility of DM, organic matter (OM), CP, neutral detergent fiber (NDF) and acid detergent fiber (ADF) and retained nitrogen (N) were measured by total faecal and urine collection. In experiment 2, four male goats (Alpine${\times}$Jamnapary) with initial weights from 17.1 to 23.1 kg were used in a $4{\times}4$ Latin square design. The four treatments were Jackfruit or Flemingia with or without addition of PEG, which was fed at a level of 5 g/goat and day by mixing with a small amount of rice bran. Each experimental period lasted 15 days (8 days for adaptation, 7 days for collection). Measurements were done as in experiment 1. The DM digestibility was highest (65.9-74.3%) for goats fed the SBM diet in both the dry and wet season. The DM digestibility of goats fed the Jackfruit and the Flemingia diets was similar in both the dry (58.6-59.2% respectively) and the wet season (53.9-56.1% respectively). The CP digestibility was highest (73.0-73.6%) for the SBM diet followed by the Jackfruit diet (47.0-38.5%) and was lowest (36.8-30.0%) for the Flemingia diet in both dry and wet seasons, respectively. The NDF digestibility was low for both the Jackfruit (36.4%) and Flemingia (38.0%) diets in the wet season. All diets resulted in a positive N balance. The N retention was highest (0.465-0.604 g/kg $W^{0.75}$) in the SBM diets and lowest (0.012-0.250 g/kg $W^{0.75}$) in the Flemingia diet. Addition of PEG had no effect on feed intake for any of the diets. PEG added in the Flemingia diet had a positive effect only on NDF digestibility, but the digestibility of the Jackfruit diet was significantly increased. Supplementation with PEG reduced digestibility and N retention of Flemingia, possibly because of the low tannin level, but increased digestibility and N retention for Jackfruit foliage.