scholarly journals Modeling of rose coco beans using twenty four points optimum second order rotatable design

2017 ◽  
Vol 5 (2) ◽  
pp. 96
Author(s):  
Isaac Tum ◽  
John Mutiso ◽  
Joseph Koske
Keyword(s):  
Response Surface ◽  
Maximum Yield ◽  
Second Order ◽  
Three Dimensions ◽  
Coefficient Of Determination ◽  
Yield Response ◽  
Efficient Production ◽  
Phosphorus And Potassium ◽  
Nitrogen Phosphorus ◽  
Rotatable Design

The response surface methodology (RSM) is a collection of mathematical and statistical techniques useful for the modeling and analysis of problems in which a response of interest is influenced by several variables, and the objective is to optimize the response. The objective of the study was to model the rose coco beans (Phaseolus vulgaris) through an existing A-optimum and D-efficient second order rotatable design of twenty four points in three dimensions in a greenhouse setting using three inorganic fertilizers, namely, nitrogen, phosphorus and potassium. Thus, the objective of the study was accomplished using the calculus optimum value of the free/letter parameter f=1.1072569. This was done by estimating the parameters via least square's techniques, by making available for the yield response of rose coco beans at calculus optimum value design for the first time. The results showed that, the three factors: nitrogen, phosphorus, and potassium contributed significantly on the yield of rose coco beans (p<0.05). In GP3G, the second-order model was adequate for 1% level of significance with p value of 0.0034. The analysis of variance (ANOVA) of response surface for rose coco yield showed that this design was adequate due to satisfactory level of a coefficient of determination, R2, 0.8066 and coefficient variation, CV was 10.30. This study demonstrated the importance of statistical methods in the optimal and efficient production of rose coco beans. We do recommend a randomize screening of all the fertilizer components with which it has influence on rose coco beans be done to ascertain the right initial amount of each fertilizer that could achieve maximum yield than this study realized.

scholarly journals Optimal and efficient production of rose coco beans through the twenty-four points second order rotatable design

2017 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Isaac Tum ◽  
Joseph Koske ◽  
John Mutiso
Keyword(s):  
Response Surface ◽  
Maximum Yield ◽  
Response Surfaces ◽  
Second Order ◽  
Three Dimensions ◽  
Coefficient Of Determination ◽  
Efficient Production ◽  
Phosphorus And Potassium ◽  
Nitrogen Phosphorus ◽  
Rotatable Design

The yield results of the twenty four points response surface methodology (RSM) design permitted a response surface to be fitted easily and provided spherical information contours besides the realizations of an optimum combination of the fertilizers in rose coco beans, which resulted in economic use of scarce resources for optimal production of rose coco beans. In this study an existing A-optimum and D-efficient second order rotatable design in three dimensions was used to produce rose coco beans optimally and efficiently. The general objective of the study was to produce rose coco beans (Phaseolus vulgaris) optimally and efficiently using an existing A-optimum and D-efficient twenty four points second order rotatable design in three dimensions in a greenhouse setting using three inorganic fertilizers, namely, nitrogen, phosphorus and potassium. Thus the study was accomplished using the calculus optimum value of the free/letter parameter f=1.1072569. The specific objectives were to estimate the linear parameters, thereby making available for the yield response of rose coco beans at calculus optimum value design for the first time, fitted and tested the model adequacy via lack of fit test, and then found the setting of the experimental factors that produces optimal response using contour plots to assist visualizes the response surfaces. This study demonstrated the importance of statistical methods in the optimal and efficient production of rose coco beans. The results showed that the three factors: nitrogen, phosphorus, and potassium contributed significantly on the yield of rose coco beans (p<0.05). The regression coefficients were determined by employing least square's techniques to predict quadratic polynomial model for group 3 greenhouse (GP3G) for the three fertilizer combinations. In GP3G, the second-order model was adequate at 1% level of significance with a p-value of 0.0034. The analysis of variance (ANOVA) of response surface for rose coco yield showed that this design was adequate due to satisfactory level of a coefficient of determination, R2, 0.8066 (GP3G) and coefficient variation, CV was 10.30. The canonical analysis showed that there was the saddle point for GP3G, meaning there was no unique optimum; therefore, ridge analysis was used to overcome the saddle problem. The result from ridge analysis provided the maximum yield of 70.25grams for the three fertilizer combinations at radii of one. We, therefore, recommend the use of GP3G design since it gave the required coefficient of determination (R2=80.66) and the maximum yield (70. 25grams) was achieved.

scholarly journals Construction of twenty-six points specific optimum second order rotatable designs in three dimensions with a practical example

2020 ◽  
Vol 8 (1) ◽  
pp. 1
Author(s):  
Tum Isaac Kipkosgei
Keyword(s):  
Response Surface ◽  
Second Order ◽  
Three Dimensions ◽  
Predictor Variables ◽  
Scarce Resources ◽  
Quadratic Response Surface ◽  
Quadratic Response ◽  
Free Parameters ◽  
Economic Use ◽  
Rotatable Design

This quadratic response surface methodology focuses on finding the levels of some (coded) predictor variables x = (x1u, x2u, x3u)' that optimize the expected value of a response variable yu from natural levels. The experiment starts from some best guess or “control” combination of the predictor variables (usually coded to x = 0 for this case x1u=30, x2u=25 and x3u =40) and experiment is performed varying them in a region around this center point.We go further to construct a specific optimum second order rotatable design of three factors in twenty-six points. The achievement of this is done with estimation of the free parameters using calculus in an existing second order rotatable design of twenty-six points. Such a design permits a response surface to be fitted easily and provides spherical information contours besides the realizations of optimum combination of ingredients in Agriculture, horticulture and allied sciences which results in economic use of scarce resources in relevant production processes. The expected second order rotatable design model in three dimensions is available where the responses would then facilitate the estimation of the linear and quadratic coefficients. An example involving Phosphate (x1u), Nitrogen (x2u) and Potassium (x3u) is used to represent the three factors in the coded level and converted into natural levels.  

scholarly journals Exploring the Yield Response of Paddy (Oryza sativa L.) under Varying Levels of Soil Nitrogen, Phosphorus and Potassium

2020 ◽  
Vol 31 (4) ◽  
pp. 01
Author(s):  
H. P. G. T. N. Kulasinghe ◽  
U. W. A. Vitharana ◽  
R. S. Dharmakeerthi ◽  
D. N. Sirisena ◽  
W. M. U. K. Rathnayake
Keyword(s):  
Oryza Sativa ◽  
Soil Nitrogen ◽  
Yield Response ◽  
Phosphorus And Potassium ◽  
Nitrogen Phosphorus

scholarly journals Yield Response of the Puerto Rico and Columnaris Coffee Cultivars in Two Latosols of Puerto Rico, as Affected by Different Levels of Nitrogen, Phosphorus, Potassium, and Lime

1969 ◽  
Vol 48 (3) ◽  
pp. 255-262
Author(s):  
Saulo J. Rodríguez ◽  
R. Bosque-Lugo ◽  
R. Pérez-Pérez ◽  
A. Rodríguez-Cabrera
Keyword(s):  
Puerto Rico ◽  
Plant Nutrients ◽  
Yield Response ◽  
Lateritic Soils ◽  
Nitrogen Levels ◽  
Phosphorus And Potassium ◽  
Nitrogen Phosphorus ◽  
Different Levels

A set of four experiments with increasing levels of the three main plant nutrients and liming were established in two lateritic soils at two locations in the coffee-growing area of Puerto Rico. Two coffee cultivars were used in the experiments. The results obtained can be summarized as follows: 1. Nitrogen levels significantly affected coffee yields of the Puerto Rico cultivar in a Catalina clay at Maricao grown under shade. 2. Phosphorus and potassium did not significantly affect the yields of these coffee cultivars at the two locations. 3. Liming did not significantly affect the yields.

Foliar Analysis as a Guide to NPK Nutrition of Pineapples in the Forest Zone of Ghana

1970 ◽  
Vol 6 (4) ◽  
pp. 327-333 ◽  
Author(s):  
W. Godfrey-Sam-Aggrey
Keyword(s):  
Maximum Yield ◽  
Second Order ◽  
Fruit Yield ◽  
Foliar Analysis ◽  
Forest Zone ◽  
Fruit Length ◽  
Nutrient Levels ◽  
Central Composite ◽  
Plot Experiment ◽  
Rotatable Design

SUMMARYIn a 20 plot experiment with central composite second-order rotatable design, basal non-chlorophyllous sections of “D” leaves of Sugarloaf pineapples were sampled at harvest and analysed for N, P, K. Maximum yield of 17·8 tons per acre of good quality Sugarloaf pineapples and maximum fruit length of 27·4 cm. were associated with the nutrient combination of 36–42–32 lb/acre N P K applied at 4, 6, 11 and 12 months. The nutrient levels in the basal sections of “D” leaves corresponding to maximum fruit yield were 0·35–0·40% N; 0·04% P; 0·44% K; K/P 11·2–11·5: 1. K/P ratio for maximum fruit length was 10·4–11·5: 1. N/K ratio was associated with lodging.

Fertilizer responses with non-irrigated Shiraz grapevines, 1944-1966

1970 ◽  
Vol 21 (2) ◽  
pp. 243 ◽  
Author(s):  
HW Tulloch ◽  
WB Harris
Keyword(s):  
South Australia ◽  
Growth And Yield ◽  
Yield Response ◽  
Positive Interaction ◽  
Severe Reduction ◽  
Factorial Trial ◽  
Phosphorus And Potassium ◽  
One Year ◽  
Nitrogen Phosphorus

A long-term factorial trial with nitrogen, phosphorus, and potassium fertilizers was started at Nuriootpa Viticultural Station, South Australia on the grape cultivar Shiraz in 1944. Results show a significant yield response to superphosphate. Long-term applications of ammonium sulphate resulted in severe reduction of vine growth and yield, and a significant lowering of soil pH. No direct response to potassium sulphate was obtained except in one year, but a positive interaction between potassium and phosphorus occurred in some years. An analysis of the components of yield in 1964 showed that the increase in yield with superphosphate was due to an increase in the number of berries per bunch. The nitrogen, phosphorus, and potassium contents of petioles were determined and related to available reference standards.

scholarly journals Digital methodology for analyzing the yield of sugar beet on leached chernozem of the Krasnodar Territory

2021 ◽  
Vol 36 ◽  
pp. 08003
Author(s):  
Victoria Drozdova ◽  
Irina Buldykova ◽  
Anastasia Kazakevich ◽  
Vladimir Griguletsky
Keyword(s):  
Mathematical Model ◽  
Sugar Beet ◽  
Maximum Yield ◽  
Mathematical Expression ◽  
Root Crops ◽  
Leached Chernozem ◽  
Optimal Values ◽  
Phosphorus And Potassium ◽  
Complete Fertilizer ◽  
Nitrogen Phosphorus

In the article, a mathematical expression is obtained that characterizes the effect of the doses of introduced fertilizers, the content of nutrients in the soil and their absorption by sugar beet plants on the yield of this crop. With the help of the developed mathematical model, the optimal values of the content of macronutrients in soil and plants are determined: nitrogen ~ 21.81 mg/kg and 1.02 %; phosphorus ~ 58.88 mg/kg and 0.33 %; potassium ~ 120.21 mg/kg and 1.33%, respectively, which accumulate when introducing a complete fertilizer at a dose of N80P80K80. This leads to the achievement of the maximum yield of root crops, which corresponds to the calculated value of this indicator ≈of 56.94 and 64.6 t/ha and coincides with the experimental one = 57.9 and 62.0 t/ha, respectively, obtained in this variant. The introduced fertilizers containing boron contributed to a more intensive absorption of nitrogen, phosphorus and potassium by root crops. The use of trace elements causes a tendency to increase the yield of this crop.

Response of `Spineless Beauty' Zucchini (Cucurbita sp.) to Nitrogen, Phosphorus, and Potassium Fertilization

HortScience ◽  
1998 ◽  
Vol 33 (3) ◽  
pp. 445d-445
Author(s):  
J. Pablo Morales-Payan
Keyword(s):  
Field Trials ◽  
Fruit Yield ◽  
Yield Response ◽  
K Fertilizer ◽  
Direct Seeded ◽  
Phosphorus And Potassium ◽  
Fruit Harvest ◽  
Fertilizer Rates ◽  
Nitrogen Phosphorus ◽  
K Fertilization

Field trials were conducted in Nigua, San Cristobal, Dominican Republic, to determine the yield response of `Spineless Beauty' zucchini (Cucurbita sp.) to nitrogen (N), phosphorus (P), and potassium (K) soil applications in a loamy clay soil containing 4.3% organic matter, 3 parts per million (ppm) of P, and 155 ppm of K. Zucchini was direct-seeded at a distance of 1 m between rows and 0.5 m within rows. Except for N, P, and K fertilization, the crop was grown according to recommended practices. A factorial design (4 × 4 × 4) with four replications was utilized. Rates of N, P, and K were 50, 100, 150, and 200 kg·ha–1, applied as a side dressing 7 days after zucchini emergence. Zucchini fruit harvest started 40 days after crop emergence and every other day thereafter during 20 days. Analysis of variance was performed on the resulting data. Results indicate that there were significant interactions of N, P, and K fertilizer rates on `Spineless Beauty' fruit yield; therefore, nutrient combinations were considered as individual treatments. Significantly superior (lsd 5%) fruit yield was obtained with 150, 150, and 50 kg·ha–1 N, P, and K, respectively.

Sign in / Sign up

Export Citation Format

Share Document