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451.
452.
Testing in normal mixture models when the proportions are known 总被引:3,自引:0,他引:3
453.
Yulan Li David Birkes David R. Thomas 《Biometrical journal. Biometrische Zeitschrift》1996,38(8):961-972
Residual maximum likelihood has proved to be a successful approach to the estimation of variance components. In this paper, its counterpart in testing, the residual likelihood ratio test, is applied to testing the ratio of two variance components. The test is compared with the Wald test and the locally most powerful invariant test. 相似文献
454.
On parameter transformations and interval estimation 总被引:1,自引:0,他引:1
455.
Katarzyna Filipiak Daniel Klein Anuradha Roy 《Biometrical journal. Biometrische Zeitschrift》2017,59(1):192-215
The problem of testing the separability of a covariance matrix against an unstructured variance‐covariance matrix is studied in the context of multivariate repeated measures data using Rao's score test (RST). The RST statistic is developed with the first component of the separable structure as a first‐order autoregressive (AR(1)) correlation matrix or an unstructured (UN) covariance matrix under the assumption of multivariate normality. It is shown that the distribution of the RST statistic under the null hypothesis of any separability does not depend on the true values of the mean or the unstructured components of the separable structure. A significant advantage of the RST is that it can be performed for small samples, even smaller than the dimension of the data, where the likelihood ratio test (LRT) cannot be used, and it outperforms the standard LRT in a number of contexts. Monte Carlo simulations are then used to study the comparative behavior of the null distribution of the RST statistic, as well as that of the LRT statistic, in terms of sample size considerations, and for the estimation of the empirical percentiles. Our findings are compared with existing results where the first component of the separable structure is a compound symmetry (CS) correlation matrix. It is also shown by simulations that the empirical null distribution of the RST statistic converges faster than the empirical null distribution of the LRT statistic to the limiting χ2 distribution. The tests are implemented on a real dataset from medical studies. 相似文献
456.
457.
458.
The statistical analysis of shape data 总被引:3,自引:0,他引:3
459.
Modified estimating functions 总被引:1,自引:0,他引:1
460.
In a random coefficient repeated measures model, the regression coefficients relating the observations to some underlying variable, such as time, are themselves taken to be random distributed over experimental units. In this paper, a general approach to repeated measures analysis is extended to this wider model. In the model three specific error structures for the random regression coefficients have been studied, viz, the random coefficients variance matrix is considered to be (i) diagonal, (ii) proportional to the identity matrix and (iii) completely general. An example will be analyzed to illustrate the procedure. 相似文献