Confidence intervals for large non-centrality parameters
Sonia Inacio; Manuela M. Oliveira; João Tiago Mexia
Discussiones Mathematicae Probability and Statistics (2015)
- Volume: 35, Issue: 1-2, page 45-56
- ISSN: 1509-9423
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topSonia Inacio, Manuela M. Oliveira, and João Tiago Mexia. "Confidence intervals for large non-centrality parameters." Discussiones Mathematicae Probability and Statistics 35.1-2 (2015): 45-56. <http://eudml.org/doc/276606>.
@article{SoniaInacio2015,
abstract = {We use asymptotic linearity to derive confidence intervals for large non-centrality parameters. These results enable us to measure relevance of effects and interactions in multifactors models when we get highly statistically significant the values of F tests statistics. We show how to use our approach by considering two sets of data as application examples.},
author = {Sonia Inacio, Manuela M. Oliveira, João Tiago Mexia},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {asymptotic linearity; non-centrality parameters; highly significant; F tests; measure relevance},
language = {eng},
number = {1-2},
pages = {45-56},
title = {Confidence intervals for large non-centrality parameters},
url = {http://eudml.org/doc/276606},
volume = {35},
year = {2015},
}
TY - JOUR
AU - Sonia Inacio
AU - Manuela M. Oliveira
AU - João Tiago Mexia
TI - Confidence intervals for large non-centrality parameters
JO - Discussiones Mathematicae Probability and Statistics
PY - 2015
VL - 35
IS - 1-2
SP - 45
EP - 56
AB - We use asymptotic linearity to derive confidence intervals for large non-centrality parameters. These results enable us to measure relevance of effects and interactions in multifactors models when we get highly statistically significant the values of F tests statistics. We show how to use our approach by considering two sets of data as application examples.
LA - eng
KW - asymptotic linearity; non-centrality parameters; highly significant; F tests; measure relevance
UR - http://eudml.org/doc/276606
ER -
References
top- [1] D. Ferreira, S.S. Ferreira, C. Nunes and S. Inácio, Inducing pivot variables and non-centrality parameters in elliptical distributions, AIP Conf. Proc. 1558 (2013), 833.
- [2] J.T. Mexia, Assymptotic Chi-squared Tests, Design and Log-Linear Models (Trabalhos de Investigaçăo, 1. Departamento de Matemática, Faculdade de Cięncias e Tecnologia, Universidade Nova de Lisboa, 1992). Zbl0801.62045
- [3] J.T. Mexia and M.M. Oliveira, Asymptotic linearity and limit distributions, approximations, Journal of Statistical Planning and Inference 140 (2011), 353-357. Zbl1177.62019
- [4] M.M. Oliveira and J.T. Mexia, ANOVA like analysis of matched series of studies with a common structure, Journal of Statistical Planning and Inference 137 (2007), 1862-1870. Zbl1118.62071
- [5] C. Nunes, S.S. Ferreira and J.T. Mexia, Fixed effects NOVA: an extension to samples with random size, Journal of Statistical Computation and Simulation 84 (2014), 2316-2328.
- [6] H. Scheffé, The Analysis of Variance (New York-John Wiley & Sons, 1959).
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