A permutational-splitting sample procedure to quantify expert opinion on clusters of chemical compounds using high-dimensional data

Annals of Applied Statistics

Volumn 8, Issue 4, 2014, Pages 2319-2335

  Milanzi, Elasma ^a   Alonso, Ariel ^b   Buyck, Christophe ^c   Molenberghs, Geert ^a  

^a HASSELT UNIVERSITY   (Belgium)

^b MAASTRICHT UNIVERSITY   (Netherlands)

^c JANSSEN RESEARCH FOUNDATION   (Belgium)

Author keywords

Maximum likelihood; Pseudo likelihood; Rater; Split samples

Indexed keywords

EID: 84919438405     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/14-AOAS772     Document Type: Article

References (21)

1. Agrafiotis, D. K., Alex, S., Dai, H., Derkinderen, A., Farnum, M., Gates, P., Izrailev, S., Jaeger, E. P., Konstant, P., Leung, A., Lobanov, V. S., Marichal, P., Martin, D., Rassokhin, D. N., Shemanarev, M., Skalkin, A., Stong, J., Tabruyn, T., Vermeiren, M., Wan, J., Xu, X. Y. and Yao, X. (2007). Advanced Biological and Chemical Discovery (ABCD): Centralizing discovery knowledge in an inherently decentralized world. J. Chem. Inf. Model 47 1999-2014.
2. Berger, M. and Wong, W. (2009). An Introduction to Optimal Designs for Social and Biomedical Research. Wiley-Blackwell, Oxford.
3. Birkel, T. (1992). Laws of large numbers under dependence assumptions. Statist. Probab. Lett. 14 355-362. MR1179641
4. Bond, T. G. and Fox, C. M. (2007). Applying the Rasch Model: Fundamental Measurement in the Human Sciences, 2nd ed. Lawrence Erlbaum, Mahwah, NJ.
5. Chen, X. and Xie, M. (2012). A split-and-conquer approach for analysis of extra ordinary large data. DIMACS Technical Report 2012-01 [cited 2013 June 15]. Available at http://dimacs.rutgers.edu/TechnicalReports/TechReports/2012/2012-01.pdf
6. de Boeck, P. and Wilson, M. (2004). Explanatory Item Response Models: A Generalized Linear and Nonlinear Approach. Springer, New York. MR2083193
7. Donoho, D. L. (2000). High-dimensional data analysis: The curses and blessings of dimensionality. Aide-Memoire [cited 2013 June 15]. Available at http://www-stat.stanford.edu/∼donoho/Lectures/AMS2000/Curses.pdf
8. Fan, J., Guo, S. and Hao, N. (2012). Variance estimation using refitted cross-validation in ultrahigh dimensional regression. J. R. Stat. Soc. Ser. B Stat. Methodol. 74 37-65. MR2885839
9. Fan, J. and Li, R. (2006). Statistical challenges with high dimensionality: Feature selection in knowledge discovery. In International Congress of Mathematicians, Vol. 3 (M. Sanz-Sole, J. Soria, J. L. Varona and J. Verdera, eds.) 595-622. Eur. Math. Soc., Zürich. MR2275698
10. Fieuws, S. and Verbeke, G. (2006). Pairwise fitting of mixed models for the joint modeling of multivariate longitudinal profiles. Biometrics 62 424-431. MR2227490
11. Hack, M. D., Rassokhin, D. N., Buyck, C., Seierstad, M., Skalkin, A., ten Holte, P., Jones, T. K., Mirzadegan, T. and Agrafiotis, D. K. (2011). Library enhancement through the wisdom of crowds. J. Chem. Inf. Model 51 3275-3286.
12. Johnson, R. A. and Wichern, D. W. (2007). Applied Multivariate Statistical Analysis, 6th ed. Pearson Prentice Hall, Upper Saddle River, NJ. MR2372475
13. Li, K.-C. (1991). Sliced inverse regression for dimension reduction. J. Amer. Statist. Assoc. 86 316-342. MR1137117
14. Molenberghs, G. and Verbeke, G. (2005). Models for Discrete Longitudinal Data. Springer, New York. MR2171048
15. Molenberghs, G., Verbeke, G. and Iddi, S. (2011). Pseudo-likelihood methodology for partitioned large and complex samples. Statist. Probab. Lett. 81 892-901. MR2793758
16. Nelson, K. P., Lipsitz, S. R., Fitzmaurice, G. M., Ibrahim, J., Parzen, M. and Straw-Derman, R. (2006). Use of the probability integral transformation to fit nonlinear mixed-effects models with nonnormal random effects. J. Comput. Graph. Statist. 15 39-57. MR2269362
17. Newman, C. M. (1984). Asymptotic independence and limit theorems for positively and negatively dependent random variables. In Inequalities in Statistics and Probability (Lincoln, Neb., 1982). Institute of Mathematical Statistics Lecture Notes-Monograph Series 5 127-140. IMS, Hayward, CA. MR0789244
18. Oxman, A. D., Lavis, J. N. and Fretheim, A. (2007). Use of evidence in WHO recommendations. Lancet 369 1883-1889.
19. Pinheiro, J. C. and Bates, D. M. (1995). Approximations to the log-likelihood function in the nonlinear mixed-effects model. J. Comput. Graph. Statist. 4 12-35.
20. Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. J. R. Stat. Soc. Ser. B Stat. Methodol. 58 267-288. MR1379242
21. Xia, Y., Tong, H., Li, W. K. and Zhu, L.-X. (2002). An adaptive estimation of dimension reduction space. J. R. Stat. Soc. Ser. B Stat. Methodol. 64 363-410. MR1924297