This paper compares the application of different versions of the simulated counterparts of the Wald test, the score test,
and the likelihood ratio test in one- and multiperiod multinomial probit models. Monte Carlo experiments show that the use
of the simple form of the simulated likelihood ratio test delivers relatively robust results regarding the testing of several
multinomial probit model specifications. In contrast, the inclusion of the Hessian matrix of the simulated loglikelihood function
into the simulated score test and (in the multiperiod multinomial probit model) particularly the inclusion of the quasi-maximum
likelihood theory into the simulated likelihood ratio test leads to substantial computational problems. The combined application
of the quasi-maximum likelihood theory with the simulated Wald test or the simulated score test is not systematically superior
to the application of the other versions of these two simulated classical tests either. Neither an increase in the number
of observations nor in the number of random draws in the incorporated Geweke-Hajivassiliou-Keane simulator systematically
lead to more precise conformities between the frequencies of type I errors and the basic significance levels. An increase
in the number of observations only decreases the frequencies of type II errors, particularly regarding the simulated classical
testing of multiperiod multinomial probit model specifications. 相似文献
We are concerned with three different types of multivariate chi-square distributions. Their members play important roles as limiting distributions of vectors of test statistics in several applications of multiple hypotheses testing. We explain these applications and consider the computation of multiplicity-adjusted p-values under the respective global hypothesis. By means of numerical examples, we demonstrate how much gain in level exhaustion or, equivalently, power can be achieved with corresponding multivariate multiple tests compared with approaches which are only based on univariate marginal distributions and do not take the dependence structure among the test statistics into account. As a further contribution of independent value, we provide an overview of essentially all analytic formulas for computing multivariate chi-square probabilities of the considered types which are available up to present. These formulas were scattered in the previous literature and are presented here in a unified manner. 相似文献
In this article three unit root tests that allow for a break in both the seasonal mean and linear trend of the data are proposed. The tests, which can be seen as small-sample corrected versions of already known asymptotic tests, are shown to perform very well in simulations, and much better than their asymptotic counterparts. 相似文献
Structural breaks in the level as well as in the volatility have often been exhibited in economic time series. In this paper, we propose new unit root tests when a time series has multiple shifts in its level and the corresponding volatility. The proposed tests are Lagrangian multiplier type tests based on the residual's marginal likelihood which is free from the nuisance mean parameters. The limiting null distributions of the proposed tests are the χ2distributions, and are affected not by the size and the location of breaks but only by the number of breaks.
We set the structural breaks under both the null and the alternative hypotheses to relieve a possible vagueness in interpreting test results in empirical work. The null hypothesis implies a unit root process with level shifts and the alternative connotes a stationary process with level shifts. The Monte Carlo simulation shows that our tests are locally more powerful than the OLSE-based tests, and that the powers of our tests, in a fixed time span, remain stable regardless the number of breaks. In our application, we employ the data which are analyzed by Perron (1990), and some results differ from those of Perron's (1990). 相似文献
In this article, a group sequential test (GST) of non-parametric statistics for survival data is briefly reviewed. An asymptotic joint distribution of the test statistics, obtained after each interim analysis, is given to illustrate the applicability of the critical values of the GST procedures. It should be noted that censored observations are generally seen in survival data. Therefore, if one makes power calculations irrespective of censoring, reliable results may not be achieved, due to the lack of information about the censoring structure. A wide simulation study, covering different censoring rates and tied observations, is conducted to make the power comparisons under various scenarios. The simulation results are interpreted and compared with the results obtained by using power analysis and sample size (PASS) software. 相似文献
We propose new dependence measures for two real random variables not necessarily linearly related. Covariance and linear correlation
are expressed in terms of principal components and are generalized for variables distributed along a curve. Properties of
these measures are discussed. The new measures are estimated using principal curves and are computed for simulated and real
data sets. Finally, we present several statistical applications for the new dependence measures. 相似文献
The present paper surveys tests with censored sur-vival data for 2-and k-samples and for association by a framework which classifies them into complete or restric-ted permutation tests and into tests based on U-or Savage-scores. The formulae of the resulting twelve tests are briefly described for quick reference. Some of the tests have been applied frequently in the past as the tests by Mantel, Breslow or Gehan; others have been developed rather recently, partly by the author. The concluding discussion presents the results of a simulation study, clarifying similarities and differences of the restricted and complete permutation approach, and deals with rela-tive efficiencies of the two scoring systems. 相似文献