Pearson's test, trend test, and MAX are all trend tests with different types of scores

Annals of Human Genetics

Volumn 73, Issue 2, 2009, Pages 133-140

  Zheng, Gang ^a   Joo, Jungnam ^a   Yang, Yaning ^b  

^a NATIONAL HEART LUNG AND BLOOD INSTITUTE   (United States)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Case control design; Genetic models; MAX; Pearson's test; Robust tests; Scores; Trend tests

Indexed keywords

ARTICLE; CASE CONTROL STUDY; CONTROLLED STUDY; CORRELATION COEFFICIENT; DOSE RESPONSE; GENETIC ANALYSIS; GENETIC ASSOCIATION; GENETIC MODEL; GENETIC RISK; GENOTYPE; INTERMETHOD COMPARISON; MATHEMATICAL COMPUTING; MAX TEST; PRIORITY JOURNAL; SCORING SYSTEM; STATISTICAL ANALYSIS; TREND TEST;

CASE-CONTROL STUDIES; GENETIC PREDISPOSITION TO DISEASE; HUMANS; MODELS, GENETIC; MODELS, STATISTICAL;

EID: 60549107504     PISSN: 00034800     EISSN: 14691809     Source Type: Journal    
DOI: 10.1111/j.1469-1809.2008.00500.x     Document Type: Article

References (24)

1. Balding, D. (2006) A tutorial on statistical methods for population association studies. Nature Review Genetics 7, 781-791.
2. Conneely, K. N. & Boehnke, M. (2007) So many correlated tests, so little time!Rapid adjustment of P values for multiple correlated tests. American Journal of Human Genetics 81, 1158-1168.
3. Davies, R. B. (1977) Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 64, 247-254.
4. Davies, R. B. (1987) Hypothesis-testing when a nuisance parameter is present only under the alternative. Biometrika 74, 33-43.
5. Freidlin, B., Zheng, G, Li, Z. & Gastwirth, J. L. (2002) Trend tests for case-control studies of genetic markers: Power, sample size and robustness. Human Heredity 53, 146-152.
6. Haberman, S. J. (1974) Log-linear models for frequency tables with ordered classifications. Biometrics 30, 589-600.
7. Gonzalez, J. R., Carrasco, J. L., Dudbridge, F., Armengol, L., Estivill, X. & Moreno, V. (2008) Maximizing association statistics over genetic models. Genetic Epidemiology 32, 246-254.
8. Goodman, L. A. (1979) Simple models for the analysis of association in cross classifications having ordered categories. Journal of the American Statistical Association 74, 537-552.
9. Guedj, M., Nuel, G. & Prum, B. (2008) A note on allelic tests in case-control association studies. Annals of Human Genetics 72, 407-409.
10. Joo, J., Kwak, M., Ahn, K. & Zheng, G. (2008) A robust genome-wide scan statistic of the Wellcome Trust Case-Control Consortium. Biometrics, to appear.
11. Kimeldorf, G., Sampson, A. R. & Wright, L. R. (1992) Min and max scorings for two-sample ordinal data. Journal of the American Statistical Association 87, 241-247.
12. Knapp, M. (2008) On the asymptotic equivalence of allelic and trend statistic under Hardy-Weinberg equilibrium. Annals of Human Genetics 72, 589-589.
13. Lettre, G., Lange, C. & Hirschhorn, J. N. (2007) Genetic model testing and statistical power in population-based association studies of quantitative traits. Genetic Epidemiology 31, 358-362.
14. Li, Q., Zheng, G., Li, Z. & Yu, K. (2008a) Efficient approximation of P-value of the maximum of correlated tests, with applications to genome-wide association studies. Annals of Human Genetics 72, 397-406.
15. Li, Q., Yu, K., Li, Z. & Zheng, G. (2008b) MAX-rank: A simple and robust genome-wide scan for case-control association studies. Human Genetics 123, 617-623.
16. Robertson, T., Wright, F. T. & Dykstra, R. L. (1988) Order Restricted Statistical Inference. John Wiley & Sons.
17. SAS JMP Genomics 3.2. (2008) SAS Institute Inc. Raleigh: N.C.
18. Sladek, R., Rocheleau, G., Rung, J., Dina, C., Shen, L., Serre, D., Boutin, P., Vinvent, D., Belisle, A., Hadjadj, S., Balkau, B., Heude, B., et al. (2007) A genome-wide association study identifies novel risk loci for type 2 diabetes. Nature 445, 881-885.
19. Sasieni, P. D. (1997) From genotype to genes: Doubling the sample size. Biometrics 53, 1253-1261.
20. The Wellcome Trust Case Control Consortium (WTCCC). (2007) Genome-wide association study of 14,000 cases of seven common diseases and 3,000 shared controls. Nature 447, 661-678.
21. Wang, K. & Sheffield, V. C. (2005) A constrained-likelihood approach to marker-trait association studies. American Journal of Human Genetics 77, 768-780.
22. Zheng, G. (2003) Use of max and min scores for trend tests for association when the genetic model is unknown. Statistics in Medicine 22, 2657-2666.
23. Zheng, G. & Chen, Z. (2005) Comparison of maximum statistics for hypothesis testing when a nuisance parameter is present only under the alternative. Biometrics 61, 254-258.
24. Zheng, G., Freidlin, B. & Gastwirth, J. L. (2006) Comparison of robust tests for genetic association using case-control studies. IMS Lecture Notes - Monograph Series (2nd special issue in honor of E.L. Lehmann), 320-336.