On Plans for Fractional Factorials with Blocking

Abstract

In the present thesis a method of obtaining fractions of asymmetrical factorial of the type 3m x 2n has been described. The fraction size is always of the form 2k. The method of analysis of much fraction has also been described. The method adopted consists of taking the fractions of the asymmetrical factorial with a fractional of a suitable asymmetrical factorial and then convert the fraction of asymmetrical factorial to an asymmetrical incomplete factorial. The second objective of the thesis is to provide a number of plan which might find application in ordinary situation. In all about 30 plans have been prepared and presented in the thesis. In these plans care has been taken to save main effect and two factor interaction in most of the designs. There may, however, be some exceptions to it. These designs have also been presented split into blocks. Two sizes of blocks viz. 23 and 24 have been presented in the case of all designs. While blocking also care has been taken to save all main effects and two factor interactions as for as possible. The plans are all self explanatory and can be used as such. Only the key blocks have been presented, but a very convenient method of obtaining the other blocks has been described in the thesis.