One-sample likelihood ratio tests for mixed data

Communications in Statistics - Theory and Methods

Volumn 36, Issue 1, 2007, Pages 129-141

  De Leon, A R ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

General location model; Level of test; Location hypothesis; Multi nomial data; Multivariate normal distribution; Power function; U distribution; Wishart distribution

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; NORMAL DISTRIBUTION; PROBLEM SOLVING;

GENERAL LOCATION MODELS; HYPOTHESIS TESTING; LIKELIHOOD RATIO TESTS; LOCATION HYPOTHESIS; MULTIVARIATE NORMAL DISTRIBUTION; POWER FUNCTION; WISHART DISTRIBUTION;

STATISTICAL TESTS;

EID: 33847330710     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920600966548     Document Type: Article

References (15)

1. Afifi, A. A., Elashoff, R. M. (1969). Multivariate two sample tests with dichotomous and continuous variables. I. The location model. Ann. Math. Stat. 40:290-298.
2. Bilodeau, M., Brenner, D. (1999). Theory of Multivariate Statistics. New York: Wiley & Sons.
3. Catalano, P. J. (1997). Bivariate modeling of clustered continuous and ordered categorical outcomes. Statist. Med. 16:883-900.
4. de Leon, A. R., Carrière, K. C. (2000). On the one-sample location hypothesis for mixed bivariate data. Commun. Statist. Theor. Meth. 29(11):2573-2581.
5. Fitzmaurice, G. M., Laird, N. M. (1995). Regression models for a bivariate discrete and continuous outcome with clustering. J. Amer. Statist. Assoc. 90:845-852.
6. Johnson, N. L., Kotz, S. (1970). Continuous Univariate Distributions. Vol. 2. New York: Houghton Mifflin.
7. Krzanowski, W. J. (1983). Distance between populations using mixed continuous and categorical variables. Biometrika 70:235-243.
8. Little, R. J., Rubin, D. B. (1987). Statistical Analysis with Missing Data. New York: Wiley & Sons.
9. Liu, C., Rubin, D. B. (1998). Ellipsoidally symmetric extensions of the general location model for mixed categorical and continuous data. Biometrika 85:673-688.
10. Mardia, K. V., Kent, J. T., Bibby, J. M. (1979). Multivariate Analysis. London: Academic Press.
11. Morales, D., Pardo, L., Zografos, K. (1998). Informational distances and related statistics in mixed continuous and categorical variables. J. Statist. Plann. Infer. 75:47-63.
12. Olkin, I., Tate, R. F. (1961). Multivariate correlation models with mixed discrete and continuous variables. Ann. Math. Stat. 32:448-465 (correction in 36:343-344).
13. Perlman, M. D., Olkin, I. (1980). Unbiasedness of invariant tests for MANOVA and other multivariate problems. Ann. Statist 8:1326-1341.
14. Schafer, J. L. (1997). Analysis of Incomplete Multivariate Data. New York: Chapman & Hall.
15. Seber, G. A. F. (1984). Multivariate Observations. New York: Wiley & Sons.