Package ‘MixedLevelRSDs’

Verma, Ankita and Jaggi, Seema and Varghese, Eldho and Dalal, Ashutosh and Varghese, Cini and Bhowmik, Arpan and Datta, Anindita (2023) Package ‘MixedLevelRSDs’. Other. ICAR-Central Marine Fisheries Research Institute, Kochi.

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Abstract

Response Surface Designs (RSDs) involving factors not all at same lev- els are called Mixed Level RSDs (or Asymmetric RSDs). In many practical situa- tions, RSDs with asymmetric levels will be more suitable as it explores more regions in the de- sign space. (J.S. Mehta and M.N. Das (1968) <doi:10.2307/1267046>. ``Asymmetric rotat- able designs and orthogonal transformations'').This package contains func- tion named ATORDs_I() for generating asymmetric third order rotatable de- signs (ATORDs) based on third order designs given by Das and Narasimham (1962). Func- tion ATORDs_II() generates asymmetric third order rotatable designs developed using t- design of unequal set sizes, which are smaller in size as compared to design generated by func- tion ATORDs_I(). In general, third order rotatable designs can be classi- fied into two classes viz., designs that are suitable for sequential experimentation and de- signs for non-sequential experimentation. The sequential experimentation approach in- volves conducting the trials step by step whereas, in the non-sequential experimentation ap- proach, the entire runs are exe- cuted in one go (M. N. Das and V. Narasimham (1962) <doi:10.1214/AOMS/1177704374>. ``Con- struction of Rotatable Designs through Balanced Incomplete Block De- signs''). ATORDs_I() and ATORDs_II() functions generate non-sequential asymmetric third or- der designs. Function named SeqTORD() generates symmetric sequential third order de- sign in blocks and also gives G-efficiency of the given design. Function named Asymseq() gener- ates asymmetric sequential third order designs in blocks (M. Hemavathi, Eldho Vargh- ese, Shashi Shekhar and Seema Jaggi (2020) <doi:10.1080/02664763.2020.1864817>. ``Sequen- tial asymmetric third order rotatable designs (SATORDs)''). In response surface design, situa- tions may arise in which some of the factors are qualitative in nature (Jyoti Di- vecha and Bharat Tarapara (2017) <doi:10.1080/08982112.2016.1217338>. ``Small, bal- anced, efficient, optimal, and near rotatable response surface designs for factorial experi- ments asymmetrical in some quantitative, qualitative factors''). The Func- tion named QualRSD() generates second order design with qualitative factors along with their D- efficiency and G-efficiency. The function named RotatabilityQ() calculates a measure of rotata- bility (measure Q, 0 <= Q <= 1) given by Draper and Pukelshiem(1990) for given a de- sign based on a second order model, (Nor- man R. Draper and Friedrich Pukelsheim(1990) <doi:10.1080/00401706.1990.10484635>. ``An- other look at rotatability'').

Item Type:	Monograph (Other)
Uncontrolled Keywords:	Mixed Level Response Surface Designs
Subjects:	Marine Fisheries > Fisheries Statistics
Divisions:	CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division Subject Area > CMFRI > CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division Subject Area > CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division
Depositing User:	Arun Surendran
Date Deposited:	12 May 2023 06:33
Last Modified:	12 May 2023 06:38
URI:	http://eprints.cmfri.org.in/id/eprint/17023

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