ABSTRACT
Most experimental situations call for standard designs that can be constructed
with many statistical software packages. In some situations, however, standard designs
are not appropriate or practicable.
Computer-aided designs are experimental designs that are generated based on a
particular optimality criterion and are generally optimal only for a specified model.
In this work designs are generated for non-standard multifactor experiment using
D-optimality criterion.
The experiment involves four factors, Nitrogen, Phosphorus, Sulphur, and
Potassium each varied at 5, 5, 3, and 2 levels respectively. The total treatment
combinations are 150, out of which only the best 21 treatment combinations are required.
The factors were tested on maize, sorghum and millet.
The D-optimality criterion, which seeks to maximize the determinant of the
information matrix of a design, was used to search for the best 21 treatment combinations
(optimal settings). The interaction, quadratic and purequadratic models were used as
prespecified models while generating the optimal settings. Also, control and without
control levels of the factors were considered.
The spread of points and the number of design points generated by each model
was studied. The quadratic model was found to be the most suitable and recommended
for this type of experiment. A measure of rotatability was computed for the quadratic
model and it was found that the design generated by the model is 83.55% rotatable,
indicating that the design is near rotatable.
ARDO, B (2021). The Computer Search For The Optimal Settings Of A Multi-Factorial Experiment Using Response Surfaces D-Optimality Design Criterion. Afribary. Retrieved from https://afribary.com/works/the-computer-search-for-the-optimal-settings-of-a-multi-factorial-experiment-using-response-surfaces-d-optimality-design-criterion-1
ARDO, BAMANGA "The Computer Search For The Optimal Settings Of A Multi-Factorial Experiment Using Response Surfaces D-Optimality Design Criterion" Afribary. Afribary, 10 Apr. 2021, https://afribary.com/works/the-computer-search-for-the-optimal-settings-of-a-multi-factorial-experiment-using-response-surfaces-d-optimality-design-criterion-1. Accessed 16 Nov. 2024.
ARDO, BAMANGA . "The Computer Search For The Optimal Settings Of A Multi-Factorial Experiment Using Response Surfaces D-Optimality Design Criterion". Afribary, Afribary, 10 Apr. 2021. Web. 16 Nov. 2024. < https://afribary.com/works/the-computer-search-for-the-optimal-settings-of-a-multi-factorial-experiment-using-response-surfaces-d-optimality-design-criterion-1 >.
ARDO, BAMANGA . "The Computer Search For The Optimal Settings Of A Multi-Factorial Experiment Using Response Surfaces D-Optimality Design Criterion" Afribary (2021). Accessed November 16, 2024. https://afribary.com/works/the-computer-search-for-the-optimal-settings-of-a-multi-factorial-experiment-using-response-surfaces-d-optimality-design-criterion-1