Bayesian and Classical Approaches for Hypotheses Testing in Trisomies

References

• Barnard , G. A. ( 1963 ). Discussion of the paper “The spectral analysis of point processes”, by M. S. Bartlett . Journal of the Royal Statistical Society B 25 : 294 .
   Google Scholar
• Bernardo , J. M. , Smith , A. F. M. ( 1994 ). Bayesian Theory . Chichester : Wiley .
   Google Scholar
• Besag , J. , Clifford , P. ( 1991 ). Sequential Monte Carlo p-values . Biometrika 78 : 301 – 304 .
   Web of Science ®Google Scholar
• Davison , A. C. , Hinkley , D. V. ( 1997 ). Bootstrap Methods and Their Applications . Cambridge Series in Statistical and Probabilistic Mathematics , Cambridge : Cambridge University Press .
   Google Scholar
• Davidson , R. , MacKinnon , J. G. ( 2006 ). The power of bootstrap and asymptotic tests . Journal of Econometrics 127 ( 2 ): 421 – 441 .
   Google Scholar
• Davidson , R. , MacKinnon , J. G. ( 2007 ). Improving the reliability of bootstrap tests with the fast double bootstrap . Computational Statistics and Data Analysis 51 ( 7 ): 3259 – 3281 .
   Web of Science ®Google Scholar
• Dwass , M. ( 1956 ). Modified randomization tests for nonparametric hypothesis . The Annals of Mathematical Statistics 28 : 181 – 187 .
   Google Scholar
• Efron , B. ( 1979 ). Bootstrap methods: Another look at the Jackknife . The Annals of Statistics 7 ( 1 ): 1 – 26 .
   Web of Science ®Google Scholar
• Efron , B. , Tibshirani , R. J. ( 1993 ). An Introduction to the Bootstrap . London : Chapman and Hall .
   Google Scholar
• Franco , G. C. , Lucio , P. S. , Parra , F. C. , Pena , S. D. J. (2003). A probability model for the meiosis I non-disjunction fraction in numerical chromosomal anomalies. Statistics in Medicine 22(12):2015–2024.
   PubMedGoogle Scholar
• Hartl , D. L. , Clark , A. G. ( 1997 ). Principles of Population in Genetics . 3rd. ed. Sunderland : Sinauer Associates .
   Google Scholar
• Hassold , T. J. , Jacobs , P. A. ( 1984 ). Trisomy in man . Annual Reviews in Genetics 18 : 69 – 97 .
   PubMed Web of Science ®Google Scholar
• Hennig , C. , Hausdorf , B. ( 2004 ). Distance-based parametric bootstrap tests for clustering of species ranges . Computational Statistics and Data Analysis 45 ( 4 ): 875 – 895 .
   Google Scholar
• Jeffreys , H. ( 1961 ). Theory of Probability . Oxford : Claredon Press .
   Google Scholar
• Jöckel , K. H. ( 1986 ). Finite sample properties and asymptotic efficiency of Monte Carlo tests . The Annals of Statistics 14 ( 1 ): 336 – 347 .
   Google Scholar
• Jung , B. C. , Jhun , M. , Lee , J. W. ( 2005 ). Bootstrap tests for overdispersion in a zero-inflated poisson regression model . Biometrics 61 ( 2 ): 626 – 628 .
   PubMedGoogle Scholar
• Lamb , N. E. , Yu , K. Shaffer , J., Feingold , E. , Sherman , S. L. ( 2005 ). Association between maternal age and meiotic recombination for Trisomy 21 . American Journal of Human Genetic 76 : 91 – 99 .
   PubMedGoogle Scholar
• Loschi , R. H. , Franco , G. C. ( 2006 ). Bayesian analysis for the meiosis I non-disjunction fraction in numerical chromosomal anomalies . Biometrical Journal 48 ( 2 ): 220 – 232 .
   PubMedGoogle Scholar
• Loschi , R. H. , Monteiro , J. V. D. , Rocha , G. H. M. A. , Mayrink , V. D. ( 2007 ). Testing and estimating the non-disjunction fraction in meiosis I using reference priors . Biometrical Journal 49 ( 5 ): 824 – 839 .
   PubMedGoogle Scholar
• Madruga , M. R. , Pereira , C. A. B. , Stern , J. M. ( 2003 ). Bayesian evidency test for precise hypotheses . Journal of Statistical Planning and Inference 117 : 185 – 198 .
   Web of Science ®Google Scholar
• Magenis , R. E. ( 1998 ). On the origin of chromosome anomaly . American Journal of Human Genetetic 42 ( 4 ): 529 – 533 .
   Google Scholar
• Marriot , F. H. C. ( 1979 ). Barnard's Monte Carlo test: How many simulations? Applied Statistics 28 : 75 – 77 .
   Google Scholar
• Neuhäuser , M. , Jöckel , K. ( 2006 ). A bootstrap test for the analysis of microarray experiments with a very small number of replications . Applied Bioinformatics 5 ( 3 ): 173 – 179 .
   PubMedGoogle Scholar
• Nicolaidis , P. , Petersen , M. B. ( 1998 ). Origin and mechanisms of non-disjunction in human autosomal trisomies . Human Reproduction 13 : 313 – 319 .
   PubMed Web of Science ®Google Scholar
• Paulino , C. D. , Turkman , M. A. A. , Murteira , B. ( 2003 ). Estatística Bayesiana (in Portuguese). Lisbon : Funda\c cão Caloust Gulbenkian .
   Google Scholar
• Pena , S. D. J. ( 1998 ). Molecular cytogenetics I: PCR-based diagnosis of human trisomies using computer-assisted laser densitometry . Genetic Molecules Biology 3 : 371 – 322 .
   Google Scholar
• Pereira , C. A. B. , Stern , J. M. ( 2001 ). Model selection: Full Bayesian approach . Envirometrics 12 : 559 – 568 .
   Google Scholar
• Savage , A. R. , Petersen , M. B. , Pettay , B. , Taft , L. , Allran , K. , Freeman , S. B. , Karadina , G. , Avramopoulos , D. , Tofs , C. , Mikkelsen , M. , Hassold , T. J. , Sherman , S. L. ( 1998 ). Elucidating the mechanisms of parental non-disjunction of chromosome 21 in humans . Human Molecular Genetics 7 : 1221 – 1227 .
   PubMedGoogle Scholar
• Silva , I. , Assunção , R. , Costa , M. A. ( 2009 ). Power of the sequencial Monte Carlo test . Sequential Analysis 28 : 163 – 174 .
   Google Scholar
• Tsao , C. A. ( 2006 ). A note on Lindley's paradox . Test 15 ( 1 ): 125 – 139 .
   Web of Science ®Google Scholar
• Valero , R. , Marfany , G. , Gil-Benso , R. , Ibáñez , M. A. , López-Pajares , I. , Prieto , F. , Rul.Ian , G. , Saret , E. , González-Duarte , R. ( 1999 ). Molecular characterisation of partial chromosome 21 aneuploidies by fluorescent PCR . Journal of Medical Genetics 15 ( 1 ): 125 – 139 .
   Google Scholar
• Yoon , P. W. , Freeman , S. B. , Sherman , S. L. , Taft , L. F. , Gu , Y. , Pettay , D. , Flanders , W. D. , Khoury , M. J. , Hassold , T. J. ( 1996 ). Advanced maternal age and the risk of Down syndrome characterized by the meiotic stage of the chromosomal error: a population based study . American Journal of Human Genetics 58 : 628 – 633 .
   PubMed Web of Science ®Google Scholar
• Yu , K. , Feingold , E. ( 2001 ). Estimating the frequency distribuion of crossovers during meiosis form recombination data . Biometrics 57 : 427 – 434 .
   PubMedGoogle Scholar