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121.
122.
Maria Kateri Anna Gottard Claudia Tarantola 《Australian & New Zealand Journal of Statistics》2017,59(3):239-253
This paper extends the ordinary quasi‐symmetry (QS) model for square contingency tables with commensurable classification variables. The proposed generalised QS model is defined in terms of odds ratios that apply to ordinal variables. In particular, we present QS models based on global, cumulative and continuation odds ratios and discuss their properties. Finally, the conditional generalised QS model is introduced for local and global odds ratios. These models are illustrated through the analysis of two data sets. 相似文献
123.
The development of randomized response models for personal interview surveys has attracted much attention since the pioneering work of Warner [1965. Randomized response: a survey technique for eliminating evasive answer bias. J. Amer. Statist. Assoc. 60, 63–69]. Several randomized response models have been developed by researchers for collecting data on both qualitative and the quantitative variables, but none of these models discuss matched pair data. In this paper, we develop a new randomized response model and study its application to an important political question. 相似文献
124.
A brief review of the minimum discrimination information (MDI) approach in analyzing categorical data is presented in a question -answer format, An example is given to bring out situations in which the MDI approach is more useful. No new results are proved. 相似文献
125.
A within-subject monotonicity index is proposed to summarize the fol-lowup for each subject in a longitudinal study where the response is required to be only ordinal. The individual measures can be weighted to detect different trend behaviors of interest. Asymptotically normal tests for single group alternatives or for comparing the means of two groups are derived and illustrated with clinical data. 相似文献
126.
On identifiability of parametric statistical models 总被引:1,自引:0,他引:1
Carlos Daniel Mimoso Paulino Carlos Alberto de Bragança Pereira 《Statistical Methods and Applications》1994,3(1):125-151
Summary This is a review article on statistical identifiability. Besides the definition of the main concepts, we deal with several
questions relevant to the statistician: parallelism between parametric identifiability and sample sufficiency; relationship
of identifiability with measures of sample information and with the inferential concept of estimability; several strategies
of making inferences in unidentifiable models with emphasis on the distinct behaviour of the classical and Bayesian approaches.
The concepts, ideas and methods discussed are illustrated with simple examples of statistical models.
Centro de Análise e Processamento de Sinais da UTL 相似文献
127.
T. P. Hutchinson 《统计学通讯:理论与方法》2013,42(4):327-335
A bibliography is given containing about 60 recent (chiefly post-1968) items on the validity of the chi-squared test for categorical data when the expected frequencies are small. 相似文献
128.
Roberto Colombi 《统计学通讯:理论与方法》2013,42(12):2953-2971
In this work, a generalization of the Goodman Association Model to the case of q, q > 2, categorical variables which is based on the idea of marginal modelling discussed by Gloneck–McCullagh is introduced; the difference between the proposed generalization and two models, previously introduced by Becker and Colombi, is discussed. The Becker generalization is not a marginal model because it does not imply Logit Models for the marginal probabilities, and because it is based on the conditional approach of modelling the association. The Colombi model is only partially a marginal model because it uses simple logit models for the univariate marginal probabilities but is based on the conditional approach of modelling the association. It is also shown that the maximum likelihood estimation of the parameters of the new model is feasible and, to compute the maximum likelihood estimates, an algorithm is proposed, which is a numerically convenient compromise between the constrained optimization approach of Lang and the straightforward use of the Fisher Scoring Algorithm suggested by Glonek–McCullagh.Finally, the proposed model is used to analyze a data set concerning work accidents which occurred to workers at some Italian firms during the years 1994–1996. 相似文献
129.
Many survey questions allow respondents to pick any number out of c possible categorical responses or “items”. These kinds of survey questions often use the terminology “choose all that apply” or “pick any”. Often of interest is determining if the marginal response distributions of each item differ among r different groups of respondents. Agresti and Liu (1998, 1999) call this a test for multiple marginal independence (MMI). If respondents are allowed to pick only 1 out of c responses, the hypothesis test may be performed using the Pearson chi-square test of independence. However, since respondents may pick more or less than 1 response, the test's assumptions that responses are made independently of each other is violated. Recently, a few MMI testing methods have been proposed. Loughin and Scherer (1998) propose using a bootstrap method based on a modified version of the Pearson chi-square test statistic. Agresti and Liu (1998, 1999) propose using marginal logit models, quasisymmetric loglinear models, and a few methods based on Pearson chi-square test statistics. Decady and Thomas (1999) propose using a Rao-Scott adjusted chi-squared test statistic. There has not been a full investigation of these MMI testing methods. The purpose here is to evaluate the proposed methods and propose a few new methods. Recommendations are given to guide the practitioner in choosing which MMI testing methods to use. 相似文献