Insensitivity Regions and Outliers in Mixed Models with Constraints
DOI:
https://doi.org/10.17713/ajs.v35i2&3.370Abstract
A procedure for detecting outliers in regular linear regression models with constraints on mean value parameters is presented. A problem, how unknown variance components influence the optimum quality of used test statistics, is studied by sensitivity analysis. Explicit forms of insensitivity regions for testing hypotheses are given.References
Gnanadesikan, R. (1977). Methods for Statistical Data Analysis of Multivariate Observations. New York: J. Wiley.
Kubáček, L., and Kubáčková, L. (2000). Nonsensitiveness regions in universal models. Math. Slovaca, 50, 219-240.
Kubáček, L., Kubáčková, L., and Volaufová, J. (1995). Statistical Models with Linear Structures. Bratislava: Veda.
Lešanská, E. (2001). Insensitivity regions for testing statistical hypotheses in mixed models with constraints. Mt. Math. Publ., 22, 209-222.
Lešanská, E. (2002). Optimization of the size of nonsensitiveness regions. Appl. Math., 47, 9-23.
Rao, C. R., and Mitra, S. K. (1971). Generalized Inverse of Matrices and its Applications. New York: J. Wiley.
Scheffé, H. (1959). The Analysis of Variance. New York: John Wiley & Sons.
Zvára, K. (1989). Regression Analysis. Praha: Academia. (in Czech)
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