The problem considered is that of estimating the optimum factor combinations in a quantitative multifactor experiment. Under the assumption that the response function is quadratic concave, solutions are obtained for the rectangular experimental region using the criterion of extended D-optimality. Some of the results are developed algebraically and others numerically. A method of deriving optimal designs is also indicated. © 1989.

N K MANDAL

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

D-optimal designs for estimating the optimum point in a quadratic response surface - rectangular region

Journal of Statistical Planning and Inference

In a mixture experiment, the response depends on the mixing proportions of the components present in the mixture. Optimum designs are available for the estimation of parameters of the models proposed in such situations. However, these designs are found to include the vertex points of the simplex Ξ defining the experimental region, which are not mixtures in the true sense. Recently, Mandal et al. (2015) derived optimum designs when the experiment is confined to an ellipsoidal region within Ξ, which does not include the vertices of Ξ. In this paper, an attempt has been made to find optimum designs when the experimental region is a simplex or is cuboidal inside Ξ and does not contain the extreme points. © 2017 Taylor & Francis Group, LLC.

Communications in Statistics - Theory and Methods

Optimum mixture designs in some constrained experimental regions

Middle East Studies Association Bulletin

Political Islam

Calcutta Statistical Association Bulletin

D-Optimal Designs for Estimating the Optimum Point in a Multifactor Experiment

Response Surface Designs for Estimating the Optimal Point

The Annals of Statistics

General Equivalence Theory for Optimum Designs (Approximate Theory)

The Annals of Mathematical Statistics

Optimal and Efficient Designs of Experiments

Journal	Journal of Statistical Planning and Inference
Publisher	-
ISSN	0378-3758