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Tests of Independence for Ordinal Data Using Bootstrap

Wai Chan, Yiu-Fai Yung, Peter M. Bentler, Man-Lai Tang
1998 Educational and Psychological Measurement  
the independence hypothesis in a two-way table.  ...  In the present study, the bootstrap procedures proposed by Yung et al. (1996) for testing independence in a two-way table are extended to cover a number of different measures of association for ordinal  ... 
doi:10.1177/0013164498058002006 fatcat:7sdaylmjrrh6fi7esrjtpjongq

Page 239 of Educational and Psychological Measurement Vol. 58, Issue 2 [page]

1998 Educational and Psychological Measurement  
Sampling behavior of tests for correlation in two-way contingency tables. Journal of the American Statistical Association, 72, 309-315. Efron, B. (1979).  ...  This study focused only on the test of independence using the proposed bootstrap procedures.  ... 

Testing log-linear models with inequality constraints: a comparison of asymptotic, bootstrap, and posterior predictive p-values

Francisca Galindo-Garre, Jeroen K. Vermunt
2005 Statistica neerlandica (Print)  
In the analysis of contingency tables, this usually involves determining the discrepancy between observed and estimated frequencies using the likelihoodratio statistic.  ...  Within such a framework, a positive relationship between two ordinal variables, for example, would be represented by a log-linear model that restricts all local log-odds ratios to be at least zero.  ...  Log-linear models with inequality constraints Suppose one wishes to test whether there exists a positive relationship between two ordinal variables cross-classified in a two-way R-by-C contingency table  ... 
doi:10.1111/j.1467-9574.2005.00281.x fatcat:csl22sglyvbkten7gqvrjrmzmi

Most Stringent Test of Independence in W× K Contingency Tables for Nominal Data Using Monte Carlo Simulations

Shakeel Shahzad, Saud Ahmed Khan, Atiq Ur Rehman
2022 Sustainable Business and Society in Emerging Economies  
A principal interest in many studies regarding contingency tables is to test if the variables are independent in contingency table (CT's). Many standard tests are available for nominal data.  ...  Findings: The most stringent test of independence is Logarithmic Minimum Square (LMS) in w × k contingency table for nominal data.  ...  The data in contingency table is also termed as categorical data which can be broadly divided into two types i.e. nominal and ordinal data.  ... 
doi:10.26710/sbsee.v4i1.2145 fatcat:yqzrq4ynyzgbhh74y4yypt6yke

A likelihood ratio test of quasi-independence for sparse two-way contingency tables

Balgobin Nandram, Dilli Bhatta, Dhiman Bhadra
2013 Journal of Statistical Computation and Simulation  
We consider a likelihood ratio test of independence for large two-way contingency tables having both structural (non-random) and sampling (random) zeros in many cells.  ...  In fact, we have two truncated multinomial distributions; one for the null hypothesis of independence and the other for the unrestricted parameter space.  ...  Acknowledgements We are grateful to the two reviewers whose comments help to improve the manuscript enormously. We are also thankful to the editor for his encouragement.  ... 
doi:10.1080/00949655.2013.815190 fatcat:shrasycb7rbinava7zq5wq3duy

Notes on the Goodness-of-Fit Tests for the Ordinal Response Model

Kwang-Mo Jeong, Hyun-Yung Lee
2010 Korean Journal of Applied Statistics  
In this paper we discuss some cautionary notes in using the Pearson chi-squared test statistic for the goodnessof-fit of the ordinal response model.  ...  We also study the limiting distribution of the chi-squared type statistic for testing the goodness-of-fit of cumulative logit models with ordinal responses.  ...  In the recent work by Jeong et al. (2005) a bootstrap testing procedure was proposed to test the independence of two-way ordinal tables in the respect of a power increase.  ... 
doi:10.5351/kjas.2010.23.6.1057 fatcat:srko522q5rba7p76uw4rbzwzey

Constructing Confidence Intervals for Spearman's Rank Correlation with Ordinal Data: A Simulation Study Comparing Analytic and Bootstrap Methods

John Ruscio
2008 Journal of Modern Applied Statistical Methods  
Research shows good probability coverage using analytic confidence intervals (CIs) for Spearman's rho with continuous data, but poorer coverage with ordinal data.  ...  A simulation study examining the latter case replicated prior results and revealed that coverage of bootstrap CIs was usually as good or better than coverage of analytic CIs.  ...  First, contingency tables of only two sizes were studied.  ... 
doi:10.22237/jmasm/1225512360 fatcat:67ejaj2dezc3lkbqiui7klnrtu

The analysis of contingency tables under inequality constraints

Alan Agresti, Brent A. Coull
2002 Journal of Statistical Planning and Inference  
This article surveys ways of taking order restrictions into account in the analysis of contingency tables. The methods are best suited for tables in which at least one classiÿcation is ordinal.  ...  We discuss methods for contingency tables with two rows or two columns that result from comparing several binomial parameters or two multinomial distributions, two-way contingency tables with arbitrary  ...  The authors are appreciative of helpful comments by two referees and by Antonio Forcina, Arthur Cohen, and Harold Sackrowitz.  ... 
doi:10.1016/s0378-3758(02)00243-4 fatcat:3mtrotdm65ddnnf5ojgwqzlkcm

Testing Marginal Homogeneity Against Stochastic Order in Multivariate Ordinal Data

B. Klingenberg, A. Solari, L. Salmaso, F. Pesarin
2008 Biometrics  
Contingency tables underlying these correlated responses are often sparse and imbalanced, rendering asymptotic results unreliable or model fitting prohibitively complex without overly simplistic assumptions  ...  Many assessment instruments used in the evaluation of toxicity, safety, pain or disease progression consider multiple ordinal endpoints to fully capture the presence and severity of treatment effects.  ...  Acknowledgements We would like to thank all reviewers for a stimulating discussion of our manuscript that improved its quality and Dr. Virginia Moser for providing the FOB data.  ... 
doi:10.1111/j.1541-0420.2008.01067.x pmid:18510649 fatcat:ie77dlsfbzhxjgy6lftqxgqahm

Page 5660 of Mathematical Reviews Vol. , Issue 89J [page]

1989 Mathematical Reviews  
The author reviews Goodman’s association models, and then dis- cusses generalizations for missing cells or for three-way contingency tables.  ...  In fact the ordinal case follows directly when interpreted as the determi- nation of an optimal scoring of the original dissimilarities, in such a way that the discrepancy between rescaled dissimilarities  ... 

The order-restricted association model: Two estimation algorithms and issues in testing

Francisca Galindo-Garre, Jeroen K. Vermunt
2004 Psychometrika  
We propose testing order-resU'icted RC models using a parametric bootstrap lXocedme, which turns out to yield reliable p values, except for situations in which the association between the two variables  ...  Two efficient algorithms for finding the order-restricted maximum likelihood (ML) estimates are proposed and their reliability under different degrees of association is investigated by a simulalion study  ...  The test results for the estimated models are reported in Table 4 .  ... 
doi:10.1007/bf02289860 fatcat:5zod2vivxjarhntrrmdjf75hfi

Page 3400 of Mathematical Reviews Vol. , Issue 99e [page]

1999 Mathematical Reviews  
The counts in the resulting two-way contingency table have the em- pirical bivariate quantile-partitioned (EBQP) distribution rather than the conventional multinomial distribution. Borkowf et al. [C.  ...  Two tests of fit for a multivariate parametric model are pro- posed.  ... 

A regression tree approach to identifying subgroups with differential treatment effects [article]

Wei-Yin Loh, Xu He, Michael Man
2014 arXiv   pre-print
A bootstrap technique is used to construct confidence intervals for the treatment effects in each node. Real and simulated data are used to compare the methods.  ...  Then we introduce three new ones that are practically free of selection bias and are applicable to two or more treatments, censored response variables, and missing values in the predictor variables.  ...  Acknowledgments We are very grateful to Xiaogang Su, Jared Foster, Jue Hou, and Elise Dusseldorp for sharing with us their R programs for IT, VT, SIDES, and QUINT, respectively, and for  ... 
arXiv:1410.1932v1 fatcat:4jkibh4og5dm7pxmmxzdxklqha

Fully Efficient Joint Fractional Imputation for Incomplete Bivariate Ordinal Responses

Xichen She, Changbao Wu
2018 Statistica sinica  
Variance estimation and test of independence are also discussed under the proposed joint fractional imputation method.  ...  We propose a fully efficient joint fractional imputation method for handling bivariate ordinal responses with missing observations.  ...  There are two major problems in statistical analysis of bivariate ordinal responses: (i) contingency table analysis; and (ii) regression analysis.  ... 
doi:10.5705/ss.202016.0396 fatcat:jpc7pnbg6jalvdegyre2yok4oq

AN ALTERNATIVE TO CLASSICAL LATENT CLASS MODELS SELECTION METHODS FOR SPARSE BINARY DATA: AN ILLUSTRATION WITH SIMULATED DATA

Carlomagno Araya Alpizar
2017 Revista de Matemática: Teoría y Aplicaciones  
Within the context of a latent class model with manifest binary variables, we propose an alternative method that solves the problem of estimating empirical distribution with sparse contingency tables and  ...  Results from the proposal presented compare the rates of Type I for traditional goodness-of-fit tests. We also show that with data density d ≤ 5, Pearson's statistic  ...  Acknowledgments The author thanks the Sede de Occidente of the Universidad de Costa Rica for assistance in pursuing his PhD studies, and for a grant to stay at the University of Salamanca (Spain) while  ... 
doi:10.15517/rmta.v23i1.22448 fatcat:54a3v23ruzci5pv5w3pnz7rjhu
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