Abstract
Presence of one or more aberration in the observations affects inference procedure in statistical analysis. Block designs robust against presence of aberrations can be found in the literature for both regression and block design set-ups. In this paper, an attempt has been made to find robust designs in a block design set-up with covariates, when there is one single wild observation in the study variable. Specifically, effects on the estimation of a full set of orthonormal treatment contrasts and that on the estimation of covariate parameters have been considered.
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References
Biswas A (2012) Block designs robust against the presence of an aberration in a treatment control set up. Commun Stat Theory Methods 41:920–933
Biswas A, Das P, Mandal NK (2015) Designs robust against violation of normality assumption in the standard F-test. Commun Stat Theory Methods 44:2898–2910
Box GEP, Draper NR (1975) Robust designs. Biometrika 62:347–352
Das K, Mandal NK, Sinha BK (2003) Optimal experimental designs for models with covariates. J Stat Plan Inference 115:273–285
Das P, Dutta G, Mandal NK, Sinha BK (2015) Optimal covariate designs-theory and applications. Springer, Berlin
Dutta G, Das P, Mandal NK (2009) Optimum covariate designs in partially balanced incomplete block (PBIB) design set ups. J Stat Plan Inference 139:2823–2835
Dutta G, Das P, Mandal NK (2010a) Optimum covariate designs in binary proper equi-replicate block design set up. Discrete Math 310:1037–1049
Ghosh S, Roy J (1982) Optimality in presence of damaged observations. J Stat Plann Inference 6:123–126
Gopalan R, Dey A (1976) On robust experimental designs. Sankhyā 38(B):297–299
Harville DA (1975) Computing optimum designs for covariate models. In: Srivastava JN (ed) A Survey of statistical design and linear models. Amsterdam, North Holland, pp 209–228
Lopes Troya J (1982a) Optimal designs for covariate models. J Stat Plan Inference 6:373–419
Lopes Troya J (1982b) Cyclic designs for a covariate model. J Stat Plan Inference 7:49–75
Mandal NK (1989) On robust designs. Calcutta Stat Assoc Bull 38:115–119
Mandal NK, Shah KR (1993) Designs robust against aberrations. Calcutta Stat Assoc Bull 43:95–107
Rao CR (1973) Linear statistical inference and its applications. Wiley, New York
Sarkar S, Gupta VK, Parsad R (2003) Robust block designs for making test treatments-control treatment comparisons against the presence of an outlier. J Ind Soc Agric Stat 56:7–18
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Dutta, G., Mandal, N.K. & Das, P. Designs Robust Against Presence of an Outlier in an Analysis of Covariance Model. J Indian Soc Probab Stat 21, 315–327 (2020). https://doi.org/10.1007/s41096-020-00084-w
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DOI: https://doi.org/10.1007/s41096-020-00084-w