Abstract
A new technique for the construction of optimal odd fractional designs in mixed series experiment is developed. Theconstruction begins by classifying all the experimental points in the experimental region into groups where the levels ofeach factor is centred at zero, thereafter the P point trial designs is formed by picking the support points from the firstgroup to the last depending on the size of the designs using some optimality checks. The technique obtains a P-pointoptimal design using loss of information as an optimality Criteria. Numerical illustrations confirm the effectiveness ofthis technique.
Highlights
There are many experiments designed to study the effects of variables largely under the control of the experimenter on other variables which are functions of the controlled variables (Raghavarao, 1971)
A complete factorial experimental design requires that observations be made on the response variables for all combinations of the levels of the factors
A fractional factorial experimental design requires that only a fraction of these treatment combinations be studied. (Meyer, 1971)
Summary
There are many experiments designed to study the effects of variables largely under the control of the experimenter on other variables which are functions of the controlled variables (Raghavarao, 1971). The controlled variables are called factors and the functions are the response variables. The experiment is conducted by changing the settings of the factors and observing the changes which result in the response variables. The settings of a factor for which observations are made on the response variables are called the levels of the factors. A complete factorial experimental design requires that observations be made on the response variables for all combinations of the levels of the factors. These combinations will be referred to as treatment combinations. A fractional factorial experimental design requires that only a fraction of these treatment combinations be studied. A fractional factorial experimental design requires that only a fraction of these treatment combinations be studied. (Meyer, 1971)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
