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On Analysis of Factorial Experiments, Complete and Fractional

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Title On Analysis of Factorial Experiments, Complete and Fractional
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Creator R.C. Jain
 
Subject Symmetric fractional factorial experiments
Confounded design
Contrasts of observations
 
Description Not Available
When a large number of factors is involved in a factorial experiment, the analysis through Yates’ method becomes complicated as a very large number of combinations have to be taken and operated upon. We have given a modified method whereby suitable groups of the treatment combinations are formed and then each group is analysed separately. The separate analysis of these groups are then combined to get the final results.

Further an investigation has been made to give specific direction for the suppression of factors in case of fractionally replicated designs through Yates’ technique is not yet perfected when factors are at more than two levels. This is because, though the aliases of geometrical components are available, such aliases are not available for linear, quadratic etc. components and their interactions. We have attempted to obtain a solution of this problem.

The extended Yates’ method of analysis of factorial experiments gives directly the results of component analysis. When the design is constructed by adopting geometrical techniques in Galois fields. It becomes difficult to have its component analysis particularly in respect of those interactions which are confounded. Similar difficulties are encountered when the design is fractionally replicated. It appears that this type of difficulty can be overcome if a link between the contrasts in the two types of analysis can be established. One of the main purpose of the present investigation is to establish a link.
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Date 2018-07-27T06:28:51Z
2018-07-27T06:28:51Z
1967-01-01
 
Type Dissertation/Thesis
 
Identifier R.C. Jain (1967) , On Analysis of Factorial Experiments, Complete and Fractional, Unpublished Diploma in Agricultural and Animal Husbandry Statistics, IASRI, New Delhi
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http://krishi.icar.gov.in/jspui/handle/123456789/6326
 
Language English
 
Relation Not Available;
 
Publisher ICAR-IASRI (Erstwhile IARS), New Delhi