Some constructions of nested balanced equireplicate block designs

• Autorzy: Shivani Rai , Shakti Banerjee , Sanpei Kageyama
• Języki publikacji: EN

Abstrakty

EN

arious methods of constructing nested ternary and quaternary efficiency balanced and variance balanced designs are proposed by applying some repetitions of treatments in all possible pairs of treatments. In these designs sub-blocks and super-blocks may form different p-ary designs, where sub-blocks have higher efficiency as compared to super-blocks, i.e., any two elementary treatment contrasts in the sub-blocks can be measured with higher efficiency than any two elementary contrasts in the super-block structure. A comparison is shown in Table 1.

Słowa kluczowe

EN

Balanced incomplete block (BIB) design; efficiency balanced (EB) design; variance balanced (VB) design; efficiency balanced ternary (EBT); variance balanced ternary (VBT); efficiency balanced quaternary (EBQ); variance balanced quaternary (VBQ)

Kategorie tematyczne

• 62K10: Block designs
• 62K05: Optimal designs
• 05B05: Block designs

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2003
• Tom: 23
• Numer: 1
• Strony: 45-68

Daty

wydano

2003

otrzymano

2002-12-15

Twórcy

autor

Shivani Rai

• Devi Ahilya University, Indore-452001, India

autor

Shakti Banerjee

• Devi Ahilya University, Indore-452001, India

autor

Sanpei Kageyama

• Hiroshima University, Higashi-Hiroshima 739-8524, Japan

Bibliografia

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Identyfikatory

DOI

10.7151/dmps.1035