Analysis of schizophrenia data using a nonlinear threshold index logistic model

PLoS ONE

Volumn 9, Issue 10, 2014, Pages

  Jiang, Zhenyu ^a   Du, Chengan ^b   Jablensky, Assen ^c   Liang, Hua ^b   Lu, Zudi ^d   Yang, Ma ^b   Teo, Kok Lay ^a  

^a CURTIN UNIVERSITY   (Australia)

^b GEORGE WASHINGTON UNIVERSITY   (United States)

^c UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^d UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONTROLLED STUDY; DATA ANALYSIS; DISEASE CLASSIFICATION; ERROR; GENETIC DATABASE; HUMAN; LOGISTIC REGRESSION ANALYSIS; MAXIMUM LIKELIHOOD METHOD; MONTE CARLO METHOD; NONLINEAR SYSTEM; PREDICTION; RECEIVER OPERATING CHARACTERISTIC; RISK ASSESSMENT; SCHIZOPHRENIA; SINGLE NUCLEOTIDE POLYMORPHISM; STATISTICAL MODEL; THRESHOLD INDEX LOGISTIC REGRESSION MODEL; BIOLOGICAL MODEL; CASE CONTROL STUDY; GENETIC PREDISPOSITION; GENETICS;

CASE-CONTROL STUDIES; GENETIC PREDISPOSITION TO DISEASE; HUMANS; LOGISTIC MODELS; MODELS, GENETIC; POLYMORPHISM, SINGLE NUCLEOTIDE; SCHIZOPHRENIA;

EID: 84908045054     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0109454     Document Type: Article

References (27)

1. Thomas DC (2004) Statistical Methods in Genetic Epidemiology. Oxford University Press.
2. Ma S, Yang L, Romero R, Cui Y (2011) Varying-coefficient models for gene-environment interaction: a non-linear look. Bioinformatics 27: 2119-2126.
3. Picchioni MM, Murray RM (2007) Schizophrenia. BMJ 335: 91-95.
4. Kendler KS, McGuire M, Gruenberg AM, O'Hare A, et al. (1993) The roscommon family study: I. methods, diagnosis of probands, and risk of schizophrenia in relatives. Archives of General Psychiatry.
5. Cardno AG, Marshall EJ, Coid B, Macdonald AM, Ribchester TR, et al. (1999) Heritability estimates for psychotic disorders: the maudsley twin psychosis series. Archives of General Psychiatry 56: 162.
6. Zhang H, Singer B (1999) Recursive partitioning in the health sciences. Springer.
7. Wei Z, Li H (2007) Nonparametric pathway-based regression models for analysis of genomic data. Biostatistics 8: 265-284.
8. Jiang Z (2011) Statistical Analysis of Genomic Data: A New Model for Class Prediction and Inference. Ph.d., Curtin University, Perth, Western Australia.
9. Ichimura H (1993) Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. Journal of Econometrics 58: 71-120.
10. Yi G, He W, Liang H (2011) Semiparametric marginal and association regression methods for clustered binary data. Annals of the Institute of Statistical Mathematics 63: 511-533.
11. Horowitz JL (2009) Semiparametric and Nonparametric Methods in Econometrics. New York: Springer.
12. Liang H, Liu X, Li R, Tsai CL (2010) Estimation and testing for partially linear single-index models. The Annals of Statistics 38: 3811-3836.
13. Xia YC, Härdle W (2006) Semi-parametric estimation of partially linear single-index models. Journal of Multivariate Analysis 97: 1162-1184.
14. Yu Y, Ruppert D (2002) Penalized spline estimation for partially linear single-index models. Journal of the American Statistical Association 97: 1042-1054.
15. Wang JL, Xue L, Zhu L, Chong YS (2010) Estimation for a partial-linear single-index model. The Annals of Statistics 38: 246-274.
16. Carroll RJ, Fan J, Gijbels I, Wand MP (1997) Generalized partially linear single-index models. Journal of the American Statistical Association 92: 477-489.
17. Xia Y, Tong H, Li WK, Zhu LX (2002) An adaptive estimation of dimension reduction space. Journal of the Royal Statistical Society, Series B 64: 363-410.
18. Hosmer Jr DW, Lemeshow S, Sturdivant RX (2013) Applied Logistic Regression. John Wiley & Sons.
19. Lachin JM (2011) Biostatistical Methods: the Assessment of Relative Risks, volume 807. John Wiley & Sons.
20. Collett D (2003) Modelling Binary Data, volume 56. CRC Press.
21. Li J, Wong WK (2011) Two-dimensional toxic dose and multivariate logistic regression, with application to decompression sickness. Biostatistics 12: 143-155.
22. Tong H (1990) Nonlinear Time Series Analysis: A Dynamic Approach. Oxford: Oxford University Press.
23. Tong H (1983) Threshold Models in Nonlinear Time Series Analysis, volume 21 of Lecture Notes in Statistics. Heidelberg: Springer.
24. Press WH (2007) Numerical Recipes 3rd Edition: The Art of Scientific Computing. Cambridge university press.
25. Chan KS (1993) Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model. The Annals of Statistics 21: 520-533.
26. Harrison PJ, Owen MJ (2003) Genes for schizophrenia? recent findings and their pathophysiological implications. The Lancet 361: 417-419.
27. Hersen M, Turner SM, Beidel DC (2011) Adult Psychopathology and Diagnosis. John Wiley & Sons.