• 제목/요약/키워드: Linear & quadratic effect

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Practical modeling of cigarette ventilation rate

  • Kim, Young-Hoh;Lee, Moon-Yong;Rhee, Kyu-Seo;Lee, Dong-Wook
    • 한국연초학회지
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    • 제21권2호
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    • pp.109-118
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    • 1999
  • A model predicted describing the effect of cigarette making materials on the level of filter ventilation was developed and evaluated. The developed model was expressed in terms of a linear and quadratic relationship which was validated with experimental measurements for different porosity of plug wrap and tipping paper, unencapsulated pressure drop of filter plug and cigarette column and vent position. Forty-six experimental frequencies were determined as a result of using three levels with five factors Box-Behnken design and analyzed by the multiple regression analysis with backward stepwise in STATISTICA/PC under restricted conditions. The four factors, except filter pressure drop variable, were statistically significant at the level of 0.05 but most of all linear by linear interactions were comparatively lower significant. By the analysis of linear and quadratic regression coefficient, filter ventilation of the cigarette was affected by porosity of plugwrap (5.87, -4.25), porosity of tip paper (5.68, -1.00), vent position (-3.87, 3.08), tobacco column pressure drop (2.56, 0.66), and filter pressure drop (1.50, 0.58) in the decreasing order. It should be emphasized that the major conclusion of this study was not that any particular parameter was linear or quadratic on any limit scale, but that there were highly significant relationships among factors involving linear, quadratic and their interaction and perhaps even linearity between and within factors. While, there is also quite strong evidence that vent position from mouth end and cigarette making materials are reverse relationship on this experimental model. On the basis of the result, it can be concluded that the porosity of the plug wrap and tipping paper has a marked effect on degree of filter ventilation rate. The F-value of plug wrap and tipping paper porosity among five factors were 39.2 and 36.8 respectively with P-value of 0.000 indicating higher significant for both factors. According to the analysis of variance, the model fitted for filter ventilation was significant at 5% confidence level and the coefficient of determination ($R^2$=0.84) was the proportion to variability in the data well fitted for by the model.

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Multicriteria Quadratic Plant Location Problem

  • Arora, Sudha;Arora, S.R.
    • Management Science and Financial Engineering
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    • 제14권1호
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    • pp.65-86
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    • 2008
  • In this paper, we have considered the multicriteria quadratic plant location problem. In addition to the allocation costs, the maintenance costs of the plants are also considered. The objective functions considered in this paper are quadratic in nature. The given problem is reduced to the problem with linear objective function. The method of Fernandez and Puerto (2003) is applied to solve the reduced problem. It is illustrated with help of examples. The effect of the change in the allocation and maintenance costs on allocation of plants to the clients has also been discussed.

산란계에 있어 델타-아미노레블린산의 급여가 생산성 및 계란 품질에 미치는 영향 (Effects of Dietary Delta-Aminolevulinic Acid on Egg Production and Egg Quality in Laying Hens)

  • 홍종욱;신승오;조진호;진영걸;유종상;이제현;장해동;김효진;김인호
    • 한국가금학회지
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    • 제34권3호
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    • pp.181-185
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    • 2007
  • 본 연구는 델타-이미노레블린산(ALA)의 급여가 산란계의 생산성 및 계란 품질에 미치는 영향에 대해 알아보기 위하여 시험을 실시하였다. 사양 시험은 30주령 ISA Brown 144수를 공시하였으며 28일간 실시하였다. 시험 설계는 1) CON (기초 사료), 2) 0.05(기초 사료 + ALA 0.05%) 3) 0.1(기초 사료 + ALA 0.1%) 및 4) 0.2(기초 사료 + ALA 0.2%)로 4개 처리를 하여 처리당 4반복, 반복당 12수씩 완전 임의 배치하였다. 전체 사양 시험 기간 동안, 델타-아미노레블린산의 첨가 수준이 증가함에 따라 산란율의 감소가 나타났으나, 0.2% 첨가 수준에서 다시 증가하는 경향을 나타내었다(quadratic effect, P=0.01). 난중은 델타-아미노레블린산의 첨가 수준이 증가함에 따라 무게가 증가하였다(linear effect, P=0.01; quadratic effect, P=0.01). 난황색은 전체 사양 시험 기간 동안, 0.1% 첨가 수준까지 난황색이 높아지다가 0.2% 첨가 수준에서 낮아지는 경향을 나타내었다(quadratic effect, P=0.03). 델타-아미노레블린산의 첨가 수준이 증가함에 따라 혈액 내 hemoglobin 농도가 유의적으로 증가하였다(linear effect, P= 0.01). 결론적으로, 산란계에 델타-아미노레블린산의 급여는 난중 및 난황색 그리고 혈액 내 hemoglobin 농도를 증가시키는 것으로 사료된다.

A NOTE ON CONSTRUCTING $2^{n}3^1$ AND $2^{1}3^3$ DESIGNS WHEN LINEAR TERMS ARE ESSENTIAL

  • LIAU PEN-HWANG
    • Journal of the Korean Statistical Society
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    • 제34권2호
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    • pp.141-151
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    • 2005
  • Under the assumption that the three-level factors are quantitative, the linear effects are taken more attention than the quadratic effects of the interaction terms. Webb (1971) presented some small incomplete factorial designs that are mixed two- and three-level designs with 20 or fewer runs. The designs provided the estimating linear-by-linear components of interactions between the three-level factors; moreover, they could also offer estimation of interactions that interest the experiments. Webb used ad hoc methods to find these plans; hence, there was still no unified structure to those experiments. In this paper, we develop the methods to construct the $2^{n}3^3$ and $2^{1}3^3$ designs. The designs constructed by these methods not only supply orthogonal estimates of all the main effects but also permit estimation of all the two-factor interactions not involving the quadratic effects. Furthermore, the designs we find are nearly orthogonal.

Estimation of the Optimal Ratio of Standardized Ileal Digestible Threonine to Lysine for Finishing Barrows Fed Low Crude Protein Diets

  • Xie, Chunyuan;Zhang, Shihai;Zhang, Guijie;Zhang, Fengrui;Chu, Licui;Qiao, Shiyan
    • Asian-Australasian Journal of Animal Sciences
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    • 제26권8호
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    • pp.1172-1180
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    • 2013
  • Two experiments were conducted to determine the standardized ileal digestible (SID) lysine (Lys) requirement and the ideal SID threonine (Thr) to Lys ratio for finishing barrows. In Exp. 1, 120 barrows with an average body weight of $72.8{\pm}3.6$ kg were allotted to one of six dietary treatments in a randomized complete block design conducted for 35 d. Each diet was fed to five pens of pigs containing four barrows. A normal crude protein (CP) diet providing 15.3% CP and 0.71% SID Lys and five low CP diets providing 12% CP with SID Lys concentrations of 0.51, 0.61, 0.71, 0.81 and 0.91% were formulated. Increasing the SID Lys content of the diet resulted in an increase in weight gain (linear effect p = 0.04 and quadratic effect p = 0.08) and an improvement in feed conversion ratio (FCR) (linear effect p = 0.02 and quadratic effect p = 0.02). For weight gain and FCR, the estimated SID Lys requirement of finishing barrows were 0.71 and 0.71% (linear broken-line analysis), 0.79 and 0.78% (quadratic analysis), respectively. Exp. 2 was a 26 d dose-response study using SID Thr to Lys ratios of 0.56, 0.61, 0.67, 0.72 and 0.77. A total of 138 barrows weighing $72.5{\pm}4.4$ kg were randomly allotted to receive one of the five diets. All diets were formulated to contain 0.61% SID Lys (10.5% CP), which is slightly lower than the pig's requirement. Weight gain was quadratically (p = 0.03) affected by SID Thr to Lys ratio while FCR was linearly improved (p = 0.02). The SID Thr to Lys ratios for maximal weight gain and minimal FCR and serum urea nitrogen (SUN) were 0.67, 0.71 and 0.64 using a linear broken-line model and 0.68, 0.78 and 0.70 using a quadratic model, respectively. Based on the estimates obtained from the broken-line and quadratic analysis, we concluded that the dietary SID Lys requirement for both maximum weight gain and minimum FCR was 0.75%, and an optimum SID Thr to Lys ratio was 0.68 to maximize weight gain, 0.75 to optimize FCR and 0.67 to minimize SUN for finishing barrows.

Effects of Dietary Cellulose on the Basal Endogenous Loss of Phosphorus in Growing Pigs

  • Son, A.R.;Kim, B.G.
    • Asian-Australasian Journal of Animal Sciences
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    • 제28권3호
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    • pp.369-373
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    • 2015
  • An experiment was conducted to determine the effect of cellulose concentration in diets containing no phosphorus (P) on the basal endogenous loss (BEL) of P in growing pigs. Twelve barrows (an initial mean body weight = $49.6{\pm}3.2kg$) were individually housed in metabolism crates. Pigs were allotted to 4 experimental diets according to a cross-over design with 12 animals and 2 periods. Four P-free diets were mainly based on corn starch, sucrose, and gelatin, and were formulated to contain 0%, 4%, 8%, or 12% cellulose. Each period consisted of a 5-d adaptation and a 5-d collection period. The marker-to-marker method was used for fecal collection. The feed intake (p<0.05, linear and quadratic) and dry feces output (p<0.01, linear and quadratic) were increased with increasing dietary cellulose concentration. However, P concentration in the feces was decreased (p<0.01, linear and quadratic) with increasing dietary cellulose concentration. There was no significant difference in total P output and the BEL of P as mg per kg DMI (ranging from 157 to 214 mg/kg of dry matter intake) among experimental diets. However, values for the apparent total tract digestibility of energy, dry matter, organic matter, crude protein, and calcium were linearly decreased (p<0.01) with increasing cellulose concentration in the diet. In conclusion, dietary cellulose affected the amount of feces and digestibility of energy and nutrients, but did not affect the endogenous loss of P.

Ruminal Characteristics, Blood pH, Blood Urea Nitrogen and Nitrogen Balance in Nili-ravi Buffalo (Bubalus bubalis) Bulls Fed Diets Containing Various Levels of Ruminally Degradable Protein

  • Javaid, A.;Nisa, Mahr-un;Sarwar, M.;Aasif Shahzad, M.
    • Asian-Australasian Journal of Animal Sciences
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    • 제21권1호
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    • pp.51-58
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    • 2008
  • Four ruminally cannulated Nili-ravi buffalo bulls were used in a $4{\times}4$ Latin Square design to determine the influence of varying levels of ruminally degradable protein (RDP) on ruminal characteristics, digestibility, blood pH, blood urea nitrogen (BUN) and nitrogen (N) balance. Four isonitrogenous and isocaloric diets were formulated (NRC, 2001). The control diet contained 50% RDP. The medium (MRDP), high (HRDP) and very high (VHRDP) ruminally degradable protein diets had 66, 82 and 100% RDP, respectively. Increasing the level of dietary RDP resulted in a linear decrease in ruminal pH. A quadratic effect of RDP on ruminal pH was also observed with quadratic maxima at the 66% RDP diet. Dietary RDP had a quadratic effect on total bacterial and protozoal count with maximum microbial count at the 82% RDP diet. Increased microbial count was due to increasing level of ruminal ammonia nitrogen ($NH_3-N$). Increasing dietary RDP resulted in a linear increase in dry matter digestibility. Provision of an adequate amount of RDP caused optimum microbial activity, which resulted in improvement in DM digestibility. Increasing the level of dietary RDP resulted in a linear decrease in crude protein (CP) and neutral detergent fiber digestibility. Blood pH remained unaltered across all diets. A linear increase in ruminal $NH_3-N$ and BUN was noted with increasing level of dietary RDP. The increase in BUN was due to increased ruminal $NH_3-N$ concentrations. A positive N balance was noted across all diets. The results are interpreted to suggest that buffalo bulls can utilize up to 82% RDP of total CP (16%) with optimum results.

Supplementation of enzyme cocktail in chickens diet is an effective approach to increase the utilization of nutrient in wheat-based diets

  • Ko, Hanseo;Kang, Hwan Ku;Moturi, Joseph;Ingale, Santosh Laxman;Kim, Jinsoo
    • Journal of Animal Science and Technology
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    • 제63권1호
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    • pp.69-76
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    • 2021
  • This experiment was conducted to evaluate the effect of supplementing enzyme cocktail on growth performance, digestibility of nutrients, and monosaccharide concentration in ileum and ceca of broiler chickens fed wheat-based diets. A total of 600 male broilers (42.26 ± 1.76 g, 0 day old) were used for 35 days of feeding trial consisting of 2 phases (starter phase from d 0 to 21 and finisher phase from d 21 to 35). Four dietary treatments were prepared based on wheat diets containing four levels of enzyme cocktail supplementation at 0, 0.2, 0.3, and 20 g/kg. Overall, dietary enzyme cocktail supplementation decreased feed conversion ratio (linear p = 0.007; quadratic p = 0.013) and improved (linear p < 0.05) the apparent ileal digestibility of dry matter (DM), crude protein, and soluble and insoluble non-starch polysaccharides. The apparent total tract digestibility of DM and gross energy were increased (linear p < 0.01) with increasing supplementation levels of the dietary enzyme cocktail. The concentrations of arabinose, xylose, mannose, and glucose in ileal digesta were linearly increased (p < 0.01) with increasing enzyme cocktail supplementation levels. In addition, the quadratic effect was observed (quadratic p = 0.046) in mannose concentration of ileal digesta. The concentration of arabinose, xylose, mannose, and galactose in cecal digesta was increased (linear p < 0.05) with increasing dietary enzyme cocktail supplementation levels. The supplementation of enzyme cocktail efficiently increased the utilization of nutrients in broiler and there was no adverse effects of high dosage supplementation level.

Effects of Graded Levels of Montmorillonite on Performance, Hematological Parameters and Bone Mineralization in Weaned Pigs

  • Duan, Q.W.;Li, J.T.;Gong, L.M.;Wu, H.;Zhang, L.Y.
    • Asian-Australasian Journal of Animal Sciences
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    • 제26권11호
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    • pp.1614-1621
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    • 2013
  • The aim of this study was to investigate the effects of graded levels of montmorillonite, a constituent of clay, on performance, hematological parameters and bone mineralization in weaned pigs. One hundred and twenty, 35-d-old crossbred pigs (Duroc${\times}$Large White${\times}$Landrace, $10.50{\pm}1.20$ kg) were used in a 28-d experiment and fed either an unsupplemented corn-soybean meal basal diet or similar diets supplemented with 0.5, 1.0, 2.5 or 5.0% montmorillonite added at the expense of wheat bran. Each treatment was replicated six times with four pigs (two barrows and two gilts) per replicate. Feed intake declined (linear and quadratic effect, p<0.01) with increasing level of montmorillonite while feed conversion was improved (linear and quadratic effect, p<0.01). Daily gain was unaffected by dietary treatment. Plasma myeloperoxidase declined linearly (p = 0.03) with increasing dietary level of montmorillonite. Plasma malondialdehyde and nitric oxide levels were quadratically affected (p<0.01) by montmorillonite with increases observed for pigs fed the 0.5 and 1.0% levels which then declined for pigs fed the 2.5 and 5.0% treatments. In bone, the content of potassium, sodium, copper, iron, manganese and magnesium were decreased (linear and quadratic effect, p<0.01) in response to an increase of dietary montmorillonite. These results suggest that dietary inclusion of montmorillonite at levels as high as 5.0% does not result in overt toxicity but could induce potential oxidative damage and reduce bone mineralization in pigs.

Effects of Fermented Soy Protein on Growth Performance and Blood Protein Contents in Nursery Pigs

  • Min, B.J.;Cho, J.H.;Chen, Y.J.;Kim, H.J.;Yoo, J.S.;Lee, C.Y.;Park, B.C.;Lee, J.H.;Kim, I.H.
    • Asian-Australasian Journal of Animal Sciences
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    • 제22권7호
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    • pp.1038-1042
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    • 2009
  • Fifty-four cross-bred ((Landrace${\times}$Yorkshire)${\times}$Duroc) pigs (13.47${\pm}$0.03 kg average initial BW) were evaluated in a 42 d growth assay to determine the effects of the fermented soy product (FSP). The dietary treatments were: FSP 0 (corn-soybean basal diet), FSP 2.5 (FSP 0 amended with 2.5% FSP), and FSP 5 (FSP 0 amended with 5% FSP). The body weight at the end of the experiment increased linearly (p = 0.05) as the FSP levels in the diets increased. In addition, the ADG and G/F ratio also increased (linear effect, p = 0.06) as the levels of FSP increased. However, there was no effect of FSP on ADFI or DM digestibility (p>0.05). Furthermore, the N digestibility increased as the FSP levels increased (linear effect, p = 0.003), although the total protein concentration in the blood was not affected by FSP (p>0.05). Additionally, the albumin concentration was higher in pigs fed diets that contained 2.5% FSP than in pigs in the control group or the FSP 5 group (quadratic effect, p = 0.07). The creatinine concentrations were also evaluated at d 42 and found to be greater in pigs that received the FSP 2.5 diet (quadratic effect, p = 0.09). Moreover, the creatinine concentration increased linearly in response to FSP treatment (p = 0.09). Finally, although the BUN concentration on the final day of the experiment was greater in pigs that received the FSP 2.5 diet (quadratic effect, p = 0.10), there were no incremental differences in BUN concentrations among groups (p>0.05). Taken together, the results of this study indicate that feeding FSP to pigs during the late nursery phase improves growth performance and N digestibility.