# Testing hypotheses in universal models

Discussiones Mathematicae Probability and Statistics (2006)

- Volume: 26, Issue: 2, page 127-149
- ISSN: 1509-9423

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topEva Fišerová. "Testing hypotheses in universal models." Discussiones Mathematicae Probability and Statistics 26.2 (2006): 127-149. <http://eudml.org/doc/277067>.

@article{EvaFišerová2006,

abstract = {A linear regression model, when a design matrix has not full column rank and a covariance matrix is singular, is considered. The problem of testing hypotheses on mean value parameters is studied. Conditions when a hypothesis can be tested or when need not be tested are given. Explicit forms of test statistics based on residual sums of squares are presented.},

author = {Eva Fišerová},

journal = {Discussiones Mathematicae Probability and Statistics},

keywords = {universal linear model; unbiased estimator; tests hypotheses},

language = {eng},

number = {2},

pages = {127-149},

title = {Testing hypotheses in universal models},

url = {http://eudml.org/doc/277067},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Eva Fišerová

TI - Testing hypotheses in universal models

JO - Discussiones Mathematicae Probability and Statistics

PY - 2006

VL - 26

IS - 2

SP - 127

EP - 149

AB - A linear regression model, when a design matrix has not full column rank and a covariance matrix is singular, is considered. The problem of testing hypotheses on mean value parameters is studied. Conditions when a hypothesis can be tested or when need not be tested are given. Explicit forms of test statistics based on residual sums of squares are presented.

LA - eng

KW - universal linear model; unbiased estimator; tests hypotheses

UR - http://eudml.org/doc/277067

ER -

## References

top- [1] L. Kubáček, L. Kubáčková and J. Volaufová, Statistical models with linear structures, Veda, Bratislava 1995.
- [2] P.B. Pantnaik, The non-central χ² and F-distribution and their applications, Biometrika 36 (1949), 202-232.
- [3] C.R. Rao, Linear statistical inference and its applications, J. Wiley and Sons, New York-London-Sydney 1965. Zbl0137.36203
- [4] C.R. Rao and S.K. Mitra, Generalized inverse of matrices and its applications, J. Wiley and Sons, New York-London-Sydney-Toronto 1971. Zbl0236.15004
- [5] J. Ryšavý, Higher geodesy, Česká matice technická, Praha 1947 (in Czech).

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