Block Designs Robust Against the Presence of an Aberration in a Treatment-Control Setup
Citations
4 citations
Cites background or methods from "Block Designs Robust Against the Pr..."
...However, a separable S-type BTIB design (Biswas, 2012) for which t = 0 (t + 1 and t being the number of times the control treatment occurs in s and the remaining b − s blocks respectively) can be considered a nearly robust design among competing designs as it can be easily proved that for such a…...
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...Generalizing GDT designs, a new general class of partially balanced treatment incomplete block designs (PBTIB designs) was introduced in Biswas (2012)....
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...Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied....
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...Further, examples of such designs are given in Biswas (2012)....
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...…obtained robust designs against the presence of an outlier in block design setup for estimating a full set of orthonormal treatment contrasts and Biswas (2012) extended it to the treatment-control setup for the estimation of a set of elementary contrasts between each test treatment and a…...
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1 citations
Cites background or methods from "Block Designs Robust Against the Pr..."
...The criterion of robustness, suggested by Mandal (1989) in block design setup and used by Biswas (2012) in treatment-control setup, is adapted here. Complete diallel cross designs, suggested by Gupta and Kageyama (1994), and partial diallel cross designs, suggested by Gupta et al....
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...Without going into the details of the methods for deriving the criterion, given in Biswas (2012), only the definition is given below....
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...Box and Draper (1975) were the first to investigate, in this context, the problem of predicting the observed response vector in a response surface model....
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...The criterion of robustness, suggested by Mandal (1989) in block design setup and used by Biswas (2012) in treatment-control setup, is adapted here. Complete diallel cross designs, suggested by Gupta and Kageyama (1994), and partial diallel cross designs, suggested by Gupta et al. (1995) and Mukerjee (1997), are found to be robust under certain conditions....
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...Box and Draper (1975) were the first to investigate, in this context, the problem of predicting the observed response vector in a response surface model. Later, Gopalan and Dey (1976), Ghosh and Kipngeno (1985), Mandal (1989), Mandal and Shah (1993), Biswas (2012), and some others studied robustness of designs against the presence of outliers under different contexts....
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References
9 citations
5 citations
"Block Designs Robust Against the Pr..." refers background in this paper
...Later, Gopalan and Dey (1976), Mandal (1989), Mandal and Shah (1993), and some others studied robustness of designs under different contexts....
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4 citations
"Block Designs Robust Against the Pr..." refers background in this paper
...Ghosh and Roy (1982) showed that A- and E-optimum designs minimize the effect of damaged observations in the mean square error of estimable functions of parameters under the ordinary linear model....
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