The purpose of this work is to compile individual trials conducted at various locations and times in order to build and optimize a theoretical factorial model. A factorial plan is formed using planting time, plant density, nitrogen, phosphor and irrigation water data collected from trials conducted at Nazilli Cotton Research Station in 1966, 1967, 1971 and 1972. Using infinitesimal calculus theoretical combinations were formed, and individual and final R values were calculated. This was done by equalizing the different individual R values and levels belonging to independent variables. 1. Where the level numbers of the factors are non-recurrent (without frequency) and unequal; a) The level number of the factor with the largest level number should be accepted as the common level number. b) The individual (R) values total of the factor in question should be accepted as the final limit. c) The common individual (R) values total of the factor in question should be slightly lower than the final limit value. d) Individual (R) values calculated for each factor by finite infinitesimal calculus should be smaller than the largest individual (R) value of the factor in question. e) Finite infinitesimal calculus calculation should be started from the factor with the smallest level number. f) The largest valued total calculated on the factor in question and meeting the conditions in question (equalized R values totals and level numbers) should be accepted as the common total. 2. In case the level numbers of the factors consist of recurrent (with frequency) and non-recurrent (without frequency) groups, the calculations should be based on the group with the largest frequency. The operations defined under item 1 above shall also be applicable here. 3. In case the level numbers of the factors are non-recurrent (without frequency) and equal, the operations defined under item 1 above shall also be applicable here. The relative effects of the factors on the maximum yield level are given below: 25.224 % for planting time, 17.2245 % for plant density, 25.904 % for nitrogen, 13.904 % for phosphor, and 17.90 % for water. Here, five square squares of 5x5 are formed and 125 combinations are derived. Maximization was done by putting the individual R values with the largest final R value among the 125 combination in place in the formula R= -0.6080+ R_E+ R_B+ R_N+ R_P+ R_S , and maximum R value was calculated as R_max=752.110 kg/decare
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 2, Issue 4) |
| DOI | 10.11648/j.sjams.20140204.13 |
| Page(s) | 85-90 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Trial, Series, Factor, Factorial, Optimization
| [1] | Ackermann,W,1955. Einführung in der wahrscheinlichkeıts Rechnung,S.Hirsel Verkag. |
| [2] | Gnedonko, B.G.1955. Elamentere Einführung in Die wahrscheinlichkeits Rechnung. |
| [3] | Hald, A. 1952. Statistical Theory With Engineering Applications, 507-510 University of Copenhagen, John Wiley and Sons, Inc, New York, "London, Sydney. |
| [4] | Hans-Jochen Bartsch. 1969. Mathematische Formeln Veb. Fachbuchverlag, Leibzig. |
| [5] | Schenck, Hilbert, Jr. 1961. Theories of Engineering Experimentation,103-115 Department of Mechanical Engineering, Clarkson College of Technology, Mc Graw-Hill Book Company, New York, Toronto, London |
| [6] | Babur, Yunus, 1991. Muhendisler Icın Matematik, 191-260 Ege Universitesi Su Urunleri Yuksek Okulu, No:24., Bornova, Izmir, Turkiye. |
APA Style
Yunus Babur. (2014). Possibility of Compiling Results of Individual Trials under a Single Model. Science Journal of Applied Mathematics and Statistics, 2(4), 85-90. https://doi.org/10.11648/j.sjams.20140204.13
ACS Style
Yunus Babur. Possibility of Compiling Results of Individual Trials under a Single Model. Sci. J. Appl. Math. Stat. 2014, 2(4), 85-90. doi: 10.11648/j.sjams.20140204.13
AMA Style
Yunus Babur. Possibility of Compiling Results of Individual Trials under a Single Model. Sci J Appl Math Stat. 2014;2(4):85-90. doi: 10.11648/j.sjams.20140204.13
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Download@article{10.11648/j.sjams.20140204.13,
author = {Yunus Babur},
title = {Possibility of Compiling Results of Individual Trials under a Single Model},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {2},
number = {4},
pages = {85-90},
doi = {10.11648/j.sjams.20140204.13},
url = {https://doi.org/10.11648/j.sjams.20140204.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20140204.13},
abstract = {The purpose of this work is to compile individual trials conducted at various locations and times in order to build and optimize a theoretical factorial model. A factorial plan is formed using planting time, plant density, nitrogen, phosphor and irrigation water data collected from trials conducted at Nazilli Cotton Research Station in 1966, 1967, 1971 and 1972. Using infinitesimal calculus theoretical combinations were formed, and individual and final R values were calculated. This was done by equalizing the different individual R values and levels belonging to independent variables. 1. Where the level numbers of the factors are non-recurrent (without frequency) and unequal; a) The level number of the factor with the largest level number should be accepted as the common level number. b) The individual (R) values total of the factor in question should be accepted as the final limit. c) The common individual (R) values total of the factor in question should be slightly lower than the final limit value. d) Individual (R) values calculated for each factor by finite infinitesimal calculus should be smaller than the largest individual (R) value of the factor in question. e) Finite infinitesimal calculus calculation should be started from the factor with the smallest level number. f) The largest valued total calculated on the factor in question and meeting the conditions in question (equalized R values totals and level numbers) should be accepted as the common total. 2. In case the level numbers of the factors consist of recurrent (with frequency) and non-recurrent (without frequency) groups, the calculations should be based on the group with the largest frequency. The operations defined under item 1 above shall also be applicable here. 3. In case the level numbers of the factors are non-recurrent (without frequency) and equal, the operations defined under item 1 above shall also be applicable here. The relative effects of the factors on the maximum yield level are given below: 25.224 % for planting time, 17.2245 % for plant density, 25.904 % for nitrogen, 13.904 % for phosphor, and 17.90 % for water. Here, five square squares of 5x5 are formed and 125 combinations are derived. Maximization was done by putting the individual R values with the largest final R value among the 125 combination in place in the formula R= -0.6080+ R_E+ R_B+ R_N+ R_P+ R_S , and maximum R value was calculated as R_max=752.110 kg/decare},
year = {2014}
}
TY - JOUR T1 - Possibility of Compiling Results of Individual Trials under a Single Model AU - Yunus Babur Y1 - 2014/08/10 PY - 2014 N1 - https://doi.org/10.11648/j.sjams.20140204.13 DO - 10.11648/j.sjams.20140204.13 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 85 EP - 90 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20140204.13 AB - The purpose of this work is to compile individual trials conducted at various locations and times in order to build and optimize a theoretical factorial model. A factorial plan is formed using planting time, plant density, nitrogen, phosphor and irrigation water data collected from trials conducted at Nazilli Cotton Research Station in 1966, 1967, 1971 and 1972. Using infinitesimal calculus theoretical combinations were formed, and individual and final R values were calculated. This was done by equalizing the different individual R values and levels belonging to independent variables. 1. Where the level numbers of the factors are non-recurrent (without frequency) and unequal; a) The level number of the factor with the largest level number should be accepted as the common level number. b) The individual (R) values total of the factor in question should be accepted as the final limit. c) The common individual (R) values total of the factor in question should be slightly lower than the final limit value. d) Individual (R) values calculated for each factor by finite infinitesimal calculus should be smaller than the largest individual (R) value of the factor in question. e) Finite infinitesimal calculus calculation should be started from the factor with the smallest level number. f) The largest valued total calculated on the factor in question and meeting the conditions in question (equalized R values totals and level numbers) should be accepted as the common total. 2. In case the level numbers of the factors consist of recurrent (with frequency) and non-recurrent (without frequency) groups, the calculations should be based on the group with the largest frequency. The operations defined under item 1 above shall also be applicable here. 3. In case the level numbers of the factors are non-recurrent (without frequency) and equal, the operations defined under item 1 above shall also be applicable here. The relative effects of the factors on the maximum yield level are given below: 25.224 % for planting time, 17.2245 % for plant density, 25.904 % for nitrogen, 13.904 % for phosphor, and 17.90 % for water. Here, five square squares of 5x5 are formed and 125 combinations are derived. Maximization was done by putting the individual R values with the largest final R value among the 125 combination in place in the formula R= -0.6080+ R_E+ R_B+ R_N+ R_P+ R_S , and maximum R value was calculated as R_max=752.110 kg/decare VL - 2 IS - 4 ER -
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