Temat: generalized p-values - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On small sample inference for common mean in heteroscedastic one-way model
Autorzy:: Witkovský, Viktor
Savin, Alexander
Wimmer, Gejza
Powiązania:: https://bibliotekanauki.pl/articles/729812.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: interlaboratory trials
common mean
generalized p-values
Kenward-Roger method
Opis:: In this paper we consider and compare several approximate methods for making small-sample statistical inference on the common mean in the heteroscedastic one-way random effects model. The topic of the paper was motivated by the problem of interlaboratory comparisons and is also known as the (traditional) common mean problem. It is also closely related to the problem of multicenter clinical trials and meta-analysis. Based on our simulation study we suggest to use the approach proposed by Kenward & Roger (1997) as an optimal choice for construction of the interval estimates of the common mean in the heteroscedastic one-way model.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2003, 23, 2; 123-145
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: On the Behrens-Fisher distribution and its generalization to the pairwise comparisons
Autorzy:: Witkovský, Viktor
Powiązania:: https://bibliotekanauki.pl/articles/729846.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Behrens-Fisher distribution
pairwise comparisons
unequal variances
generalized p-values
Opis:: Weerahandi (1995b) suggested a generalization of the Fisher's solution of the Behrens-Fisher problem to the problem of multiple comparisons with unequal variances by the method of generalized p-values. In this paper, we present a brief outline of the Fisher's solution and its generalization as well as the methods to calculate the p-values required for deriving the conservative joint confidence interval estimates for the pairwise mean differences, refered to as the generalized Scheffé intervals. Further, we present the corresponding tables with critical values for simultaneous comparisons of the mean differences of up to k = 6 normal populations with unequal variances based on independent random samples with very small sample sizes.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2002, 22, 1-2; 73-104
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Bayesian and generalized confidence intervals on variance ratio and on the variance component in mixed linear models
Autorzy:: Michalski, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/729664.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: mixed linear models
variance components
hypothesis testing
confidence intervals
generalized p-values
Opis:: The paper deals with construction of exact confidence intervals for the variance component σ₁² and ratio θ of variance components σ₁² and σ² in mixed linear models for the family of normal distributions $_t(0, σ₁²W + σ²I_t)$. This problem essentially depends on algebraic structure of the covariance matrix W (see Gnot and Michalski, 1994, Michalski and Zmyślony, 1996). In the paper we give two classes of bayesian interval estimators depending on a prior distribution on (σ₁², σ²) for:
1) the variance components ratio θ - built by using test statistics obtained from the decomposition of a quadratic form y'Ay for the Bayes locally best estimator of σ₁², Michalski and Zmyślony (1996),
2) the variance component σ₁² - constructed using Bayes point estimators from BIQUE class (Best Invariant Quadratic Unbiased Estimators, see Gnot and Kleffe, 1983, and Michalski, 2003).
In the paper an idea of construction of confidence intervals using generalized p-values is also presented (Tsui and Weerahandi, 1989, Zhou and Mathew, 1994). Theoretical results for Bayes interval estimators and for some generalized confidence intervals by simulations studies for some experimental layouts are illustrated and compared (cf Arendacká, 2005).
Źródło:: Discussiones Mathematicae Probability and Statistics; 2009, 29, 1; 5-29
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Strict spectral approximation of a matrix and some related problems
Autorzy:: Ziętak, Krystyna
Powiązania:: https://bibliotekanauki.pl/articles/1339193.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: positive semi-definite matrix
$c_p$-minimal approximation
Moore-Penrose generalized inverse
strict spectral approximation of a matrix
singular values preserving functions
Opis:: We show how the strict spectral approximation can be used to obtain characterizations and properties of solutions of some problems in the linear space of matrices. Namely, we deal with (i) approximation problems with singular values preserving functions, (ii) the Moore-Penrose generalized inverse. Some properties of approximation by positive semi-definite matrices are commented.
Źródło:: Applicationes Mathematicae; 1996-1997, 24, 3; 267-280
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

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