Побудова апроксимаційних поліномів та ізоліній дисперсії прогнозованих значень із використанням систем комп’ютерної математики
The matrix of planning experiments based on three-component compounds is considered. The method for the construction of the approximation polynomials and dispersion isolines of the forecasted values for experimental planning matrices is described for two different cases: when the experimental points...
Збережено в:
| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Ukrainian |
| Опубліковано: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2013
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| Онлайн доступ: | http://journal.iasa.kpi.ua/article/view/59244 |
| Теги: |
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| Назва журналу: | System research and information technologies |
Репозитарії
System research and information technologies| Резюме: | The matrix of planning experiments based on three-component compounds is considered. The method for the construction of the approximation polynomials and dispersion isolines of the forecasted values for experimental planning matrices is described for two different cases: when the experimental points are located at the simplex vertices simplex edges or when they are located inside the investigated region. The construction scheme for dispersion isolines of forecasted values in the case of regression polynomials of the second, the third and the fourth orders in the Cartesian coordinates is proposed. For the construction of ternary plots using Cartesian coordinates, the Draper-Lawrence transition formula was exploited. Proposed scheme is approved using experimental matrices of D-optimal and simplex-grate plans of the second, third and fourth order. Several optimal matrices for experimental plans of the second order were obtained using the computer mathematics system. Dispersion isolines of the forecasted values for these plans were constructed. |
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