Markov bases for typical block effect models of two-way contingency tables
نویسندگان
چکیده
Markov basis for statistical model of contingency tables gives a useful tool for performing the conditional test of the model via Markov chain Monte Carlo method. In this paper we derive explicit forms of Markov bases for change point models and block diagonal effect models, which are typical block-wise effect models of two-way contingency tables, and perform conditional tests with some real data sets.
منابع مشابه
Holes in Semigroups and Their Applications to the Two-way Common Diagonal Effect Model
A two-way subtable sum model is a statistical model for two-way contingency tables such that sufficient statistics for the model are row sums, column sums and an additional constraint that the sum of a subtable is also fixed. From a statistical viewpoint this model is related to a block interaction model, a twoway change-point model proposed by Hirotsu, and the quasi-independence model for inco...
متن کاملMarkov bases of decomposable models for contingency tables
We study Markov bases of hierarchical models in general and those of decomposable models in particular for multiway contingency tables by determining the structure of fibers of sample size two. We prove that the number of elements of fibers of sample size two are powers of two and we characterize the primitive moves (i.e. square-free moves of degree two) of Markov bases in terms of connected co...
متن کاملPartial Association Components in Multi-way Contingency Tables and Their Statistiical Analysis
In analyses of contingency tables made up of categorical variables, the study of relationship between the variables is usually the major objective. So far, many association measures and association models have been used to measure the association structure present in the table. Although the association measures merely determine the degree of strength of association between the study varia...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS Fibers of sample size two of hierarchical models and Markov bases of decomposable models for contingency tables
We study Markov bases of hierarchical models in general and those of decomposable models in particular for multiway contingency tables by determining the structure of fibers of sample size two. We prove that the number of elements of fibers of sample size two are powers of two and we characterizes the primitive moves of Markov bases in terms of connected components of a certain graph defined fr...
متن کاملMarkov bases and subbases for bounded contingency tables
In this paper we study the computation of Markov bases for contingency tables whose cell entries have an upper bound. In general a Markov basis for unbounded contingency table under a certain model differs from a Markov basis for bounded tables. Rapallo and Rogantin (2007) applied Lawrence lifting to compute a Markov basis for contingency tables whose cell entries are bounded. However, in the p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Multivariate Analysis
دوره 112 شماره
صفحات -
تاریخ انتشار 2012