Mixture designs with orthogonal blocks. Issue 16 (18th August 2017)

• Record Type: Journal Article
• Authors: Das, Premadhis; Sinha, Bikas K.
• Is Part Of: Communications in statistics. Volume 46:Issue 16(2017)
• Page Start: 8155
• Page End: 8165
• Publication Date: 2017-08-18
• Subjects: Balanced arrays -- balanced incomplete block design (BIBD) -- incidence matrix -- mixture experiments -- mutually orthogonal latin squares -- orthogonal arrays -- orthogonal designs -- partially balanced incomplete block design (PBIBD); Primary 62K05 -- Secondary 62K15; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1175629
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Constructions of blocked mixture designs are considered in situations where BLUEs of the block effect contrasts are orthogonal to the BLUEs of the regression coefficients. Orthogonal arrays (OA), Balanced Arrays (BAs), incidence matrices of balanced incomplete block designs (BIBDs), and partially balanced incomplete block designs (PBIBDs) are used. Designs with equal and unequal block sizes are considered. Also both cases where the constants involved in the orthogonality conditions depend and do not depend on the factors have been taken into account. Some standard (already available) designs can be obtained as particular cases of the designs proposed here.