Minimally changed run sequences in factorial experiments |
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Authors: | Arpan Bhowmik Seema Jaggi Cini Varghese |
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Institution: | Division of Design of Experiments, ICAR-Indian Agricultural Statistics Research Institute, New Delhi, India |
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Abstract: | Randomization of run sequences in factorial experiments may result in large number of changes in factor levels which will make the experimentation expensive, time-consuming and difficult. Experiments in which it is difficult to change the levels of factor(s) use of minimally changed run sequences may often be preferable to a random run sequence. In the present paper, we have developed method for obtaining minimally changed run sequences for factorial experiments. The general expression of factor-wise number of level changes for the developed minimally changed run sequences has also been obtained. A relationship has been established between the time count effect of a lower order factorial with minimally changed run sequences and that of a higher order factorial with minimally changed run sequences obtained through the lower order minimally changed run sequences. For providing a readymade solution to the end users, a SAS macro has also been developed for generating these minimally changed run sequences along with its parameters. |
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Keywords: | Factorial macro minimal change randomization run sequence time count |
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