Stratified psychiatry via convexity-based clustering with applications towards moderator analysis

Statistics and its Interface

Volumn 9, Issue 3, 2016, Pages 255-266

  Tarpey, Thaddeus ^a   Petkova, Eva ^b   Zhu, Liangyu ^c,d  

^a WRIGHT STATE UNIVERSITY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c NATHAN S KLINE INSTITUTE FOR PSYCHIATRIC RESEARCH   (United States)

^d NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Longitudinal data analysis; Mixed models; Partitioning; Personalized medicine; Placebo response

Indexed keywords

EID: 84957081994     PISSN: 19387989     EISSN: 19387997     Source Type: Journal    
DOI: 10.4310/SII.2016.v9.n3.a1     Document Type: Article

References (18)

1. Adamo, N., Huo, L., Adelsberg, S., Petkova, E., Castellanos, F. X., and Martino, A. D. (2013). Response time intrasubject variability: Commonalities between children with autism spectrum disorders and children with ADHD. European Child and Adolescent Psychiatry.
2. Bock, H.-H. (2003). Convexity-based clustering criteria: Theory, algorithms, and applications in statistics. Statistical Methods & Applications 12:293-317. MR2081621
3. Dalenius, T. (1950). The problem of optimum stratification. Skandinavisk Aktuarietidskrift 33:203-213. MR0042101
4. Flury, B. (1990). Principal points. Biometrika 77:33-41. MR1049406
5. Flury, B. (1993). Estimation of principal points. Applied Statistics 42:139-151. MR1202369
6. Grzadzinski, R., Di Martino, A., Brady, A., Mairena, M., O'Neale, M., Petkova, E., Lord, C., and Castellanos, F. (2011). Examining autistic traits in children with ADHD: Does the autism spectrum extend to ADHD? Journal of Autism and Developmental Disorders 41:1178-1191.
7. Hartigan, J. A. (1975). Clustering Algorithms.Wiley, New York. MR0405726
8. Hartigan, J. A. (1978). Asymptotic distributions for clustering criteria. Annals of Statistics 6:117-131. MR0461780
9. Hartigan, J. A. and Wong, M. A. (1979). A k-means clustering algorithm. Applied Statistics 28:100-108.
10. Kapur, S., Phillips, A. G., and Insel, T. R. (2012). Why has it taken so long for biological psychiatry to develop clinical tests and what to do about it? Molecular Psychiatry 12.
11. MacQueen, J. (1967). Some methods for classification and analysis of multivariate observations. Proceedings 5th Berkeley Symposium on Mathematics, Statistics and Probability 3:281-297. MR0214227
12. Tarpey, T. (1999). Self-consistency and principal component analysis. Journal of the American Statistical Association 94:456-467. MR1702317
13. Tarpey, T. (2003). Estimating the average slope. Journal of Applied Statistics 30:389-395. MR1959444
14. Tarpey, T. (2007). Linear transformations and the k-means clustering algorithm: Applications to clustering curves. The American Statistician 61:34-40. MR2339145
15. Tarpey, T. (2007). A parametric k-means algorithm. Computational Statistics 22:71-89. MR2299247
16. Tarpey, T. and Petkova, E. (2010). Principal point classification: Applications to differentiating drug and placebo responses in longitudinal studies. Journal of Statistical Planning and Inference 140:539-550. MR2558384
17. Tarpey, T., Petkova, E., Lu, Y., and Govindarajulu, U. (2010). Optimal partitioning for linear mixed effects models: Applications to identifying placebo responders. Journal of the American Statistical Association 105:968-977. MR2752593
18. Tarpey, T., Petkova, E., and Ogden, R. T. (2003). Profiling placebo responders by self-consistent partitioning of functional data. Journal of the American Statistical Association 98:850-858. MR2055493