3,995
Views
0
CrossRef citations to date
0
Altmetric
Applications and Case Studies

Modeling Pregnancy Outcomes Through Sequentially Nested Regression Models

, , &
Pages 602-616 | Received 25 Aug 2021, Accepted 10 Nov 2021, Published online: 05 Jan 2022

References

  • Agresti, A. (2002), Categorical Data Analysis , New York: Wiley-Interscience.
  • Azziz, R. , Woods, K. S. , Reyna, R. , Key, T. J. , Knochenhauer, E. S. , and Yildiz, B. O. (2004), “The Prevalence and Features of the Polycystic Ovary Syndrome in an Unselected Population,” The Journal of Clinical Endocrinology & Metabolism , 89, 2745–2749.
  • Chen, Z.-J. , Shi, Y. , Sun, Y. , Zhang, B. , Liang, X. , Cao, Y. , Yang, J. , Liu, J. , Wei, D. , Weng, N. , Tian, L. , Hao, C. , Yang, D. , Zhou, F. , Shi, J. , Xu, Y. , Li, J. , Yan, J. , Qin, Y. , Zhao, H. , Zhang, H. , and Legro, R. S. (2016), “Fresh Versus Frozen Embryos for Infertility in the Polycystic Ovary Syndrome,” New England Journal of Medicine , 375, 523–533. DOI: https://doi.org/10.1056/NEJMoa1513873.
  • Dicker, L. , Huang, B. , and Lin, X. (2013), “Variable Selection and Estimation With the Seamless-l 0 Penalty,” Statistica Sinica , 23, 929–962.
  • ESHRE, The Rotterdam and ASRM-Sponsored PCOS Consensus Workshop Group . (2004), “Revised 2003 Consensus on Diagnostic Criteria and Long-Term Health Risks Related to Polycystic Ovary Syndrome,” Fertility and Sterility , 81, 19–25.
  • Fan, J. , and Li, R. (2001), “Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties,” Journal of the American statistical Association , 96, 1348–1360. DOI: https://doi.org/10.1198/016214501753382273.
  • Fan, J. , and Lv, J. (2011), “Nonconcave Penalized Likelihood with np-Dimensionality,” IEEE Transactions on Information Theory , 57, 5467–5484. DOI: https://doi.org/10.1109/TIT.2011.2158486.
  • Fox, J. (1997), Applied Regression Analysis, Linear Models, and Related Methods , Thousand Oaks, CA: Sage Publications, Inc.
  • Friedman, J. , Hastie, T. , and Tibshirani, R. (2010), “Regularization Paths for Generalized Linear Models via Coordinate Descent,” Journal of Statistical Software , 33, 1–22. DOI: https://doi.org/10.18637/jss.v033.i01.
  • Hämmerli, K. , Znoj, H. , and Barth, J. (2009), “The Efficacy of Psychological Interventions for Infertile Patients: A Meta-Analysis Examining Mental Health and Pregnancy Rate,” Human Reproduction Update , 15, 279–295. DOI: https://doi.org/10.1093/humupd/dmp002.
  • Hansen, K. R. , He, A. L. W. , Styer, A. K. , Wild, R. A. , Butts, S. , Engmann, L. , Diamond, M. P. , Legro, R. S. , Coutifaris, C. , Alvero, R. , Robinson, R. D. , Casson, P. , Christman, G. M. , Huang, H. , Santoro, N. , Eisenberg, E. , Zhang, H. , and Eunice Kennedy Shriver National Institute of Child Health and Human Development Reproductive Medicine Network . (2016), “Predictors of Pregnancy and Live-Birth in Couples With Unexplained Infertility After Ovarian Stimulation–Intrauterine Insemination,” Fertility and Sterility , 105, 1575–1583. DOI: https://doi.org/10.1016/j.fertnstert.2016.02.020.
  • Harbin Consensus Conference Workshop Group . (2014), “Improving the Reporting of Clinical Trials of Infertility Treatments (IMPRINT): Modifying the Consort Statement,” Fertility and Sterility , 102, 952–959,e15.
  • Hillman, J. K. , Johnson, L. N. , Limaye, M. , Feldman, R. A. , Sammel, M. , and Dokras, A. (2014), “Black Women With Polycystic Ovary Syndrome (PCOS) have Increased Risk for Metabolic Syndrome and Cardiovascular Disease Compared With White Women With PCOS,” Fertility and Sterility , 101, 530–535. DOI: https://doi.org/10.1016/j.fertnstert.2013.10.055.
  • Huang, Y. , Zhang, Q. , Zhang, S. , Huang, J. , and Ma, S. (2017), “Promoting Similarity of Sparsity Structures in Integrative Analysis With Penalization,” Journal of the American Statistical Association , 112, 342–350. DOI: https://doi.org/10.1080/01621459.2016.1139497.
  • Kuang, H. , Jin, S. , Hansen, K. R. , Diamond, M. P. , Coutifaris, C. , Casson, P. , Christman, G. , Alvero, R. , Huang, H. , Bates, G. W. , Usadi, R. , Lucidi, S. , Baker, V. , Santoro, N. , Eisenberg, E. , Legro, R. S. , Zhang, H. , and Reproductive Medicine Network . (2015), “Identification and Replication of Prediction Models for Ovulation, Pregnancy and Live Birth in Infertile Women With Polycystic Ovary Syndrome,” Human Reproduction , 30, 2222–2233. DOI: https://doi.org/10.1093/humrep/dev182.
  • Legro, R. S. , and Myers, E. (2004), “Surrogate End-Points or Primary Outcomes in Clinical Trials in Women With Polycystic Ovary Syndrome?” Human Reproduction , 19, 1697–1704. DOI: https://doi.org/10.1093/humrep/deh322.
  • Legro, R. S. , Barnhart, H. X. , Schlaff, W. D. , Carr, B. R. , Diamond, M. P. , Carson, S. A. , Steinkampf, M. P. , Coutifaris, C. , McGovern, P. G. , Cataldo, N. A. , Gosman, G. G. , Nestler, J. E. , Giudice, L. C. , Leppert, P. C. , Myers, E. R. , and Cooperative Multicenter Reproductive Medicine Network . (2007), “Clomiphene, Metformin, or Both for Infertility in the Polycystic Ovary Syndrome,” New England Journal of Medicine , 356, 551–566. DOI: https://doi.org/10.1056/NEJMoa063971.
  • Legro, R. S. , Brzyski, R. G. , Diamond, M. P. , Coutifaris, C. , Schlaff, W. D. , Casson, P. , Christman, G. M. , Huang, H. , Yan, Q. , Alvero, R. , Haisenleder, D. J. , Barnhart, K. T. , Bates, G. W. , Usadi, R. , Lucidi, S. , Baker, V. , Trussell, J. C. , Krawetz, S. A. , Snyder, P. , Ohl, D. , Santoro, N. , Eisenberg, E. , Zhang, H. , and the NICHD Reproductive Medicine. Network* (2014), “Letrozole Versus Clomiphene for Infertility in the Polycystic Ovary Syndrome, New England Journal of Medicine , 371, 119–129. DOI: https://doi.org/10.1056/NEJMoa1313517.
  • Li, Z. , Wang, S. , and Lin, X. (2012), “Variable Selection and Estimation in Generalized Linear Models With the Seamless l 0 Penalty,” Canadian Journal of Statistics , 40, 745–769. DOI: https://doi.org/10.1002/cjs.11165.
  • Maddala, G. S. (1986), Limited-dependent and Qualitative Variables in Econometrics , (Vol. 3), Cambridge, UK: Cambridge University Press.
  • Magnus, M. C. , Wilcox, A. J. , Morken, N.-H. , Weinberg, C. R. , and Håberg, S. E. (2019), “Role of Maternal Age and Pregnancy History in Risk of Miscarriage: Prospective Register Based Study,” British Medical Journal , 364, l869. DOI: https://doi.org/10.1136/bmj.l869.
  • Rausch, M. E. , Legro, R. S. , Barnhart, H. X. , Schlaff, W. D. , Carr, B. R. , Diamond, M. P. , Carson, S. A. , Steinkampf, M. P. , McGovern, P. G. , Cataldo, N. A. , Gosman, G. G. , Nestler, J. E. , Giudice, L. C. , Leppert, P. C. , Myers, E. R. , Coutifaris, C. , and for the Reproductive Medicine Network . (2009), “Predictors of Pregnancy in Women with Polycystic Ovary Syndrome,” The Journal of Clinical Endocrinology & Metabolism , 94, 3458–3466.
  • Schwarz, G. (1978), “Estimating the Dimension of a Model,” The Annals of Statistics , 6, 461–464. DOI: https://doi.org/10.1214/aos/1176344136.
  • Shi, X. , Liu, J. , Huang, J. , Zhou, Y. , Shia, B. , and Ma, S. (2014), “Integrative Analysis of High-Throughput Cancer Studies With Contrasted Penalization,” Genetic Epidemiology , 38, 144–151. DOI: https://doi.org/10.1002/gepi.21781.
  • Tibshirani, R. (1996), “Regression Shrinkage and Selection via the Lasso,” Journal of the Royal Statistical Society, Series B, 58, 267–288. DOI: https://doi.org/10.1111/j.2517-6161.1996.tb02080.x.
  • Tutz, G. (1991), “Sequential Models in Categorical Regression,” Computational Statistics & Data Analysis , 11, 275–295.
  • Wright, J. , Barrison, I. , Lewis, I. , MacRae, K. , Waterson, E. , Toplis, P. , Gordon, M. , Morris, N. , and Murray-Lyon, I. (1983), “Alcohol Consumption, Pregnancy, and Low Birthweight,” The Lancet , 321, 663–665. DOI: https://doi.org/10.1016/S0140-6736(83)91964-5.
  • Wu, X.-K. , Stener-Victorin, E. , Kuang, H.-Y. , Ma, H.-L. , Gao, J.-S. , Xie, L.-Z. , Hou, L.-H. , Hu, Z.-X. , Shao, X.-G. , Ge, J. , Zhang, J. F. , Xue, H. Y. , Xu, X. F. , Liang, R. N. , Ma, H. X. , Yang, H. W. , Li, W. L. , Huang, D. M. , Sun, Y. , Hao, C. F. , Du, S. M. , Yang, Z. W. , Wang, X. , Yan, Y. , Chen, X. H. , Fu, P. , Ding, C. F. , Gao, Y. Q. , Zhou, Z. M. , Wang, C. C. , Wu, T. X. , Liu, J. P. , Ng, E. H. Y. , Legro, R. S. , Zhang, H. , and PCOSAct Study Group . (2017), “Effect of Acupuncture and Clomiphene in Chinese Women With Polycystic Ovary Syndrome: A Randomized Clinical Trial,” Journal of American Medical Association , 317, 2502–2514. DOI: https://doi.org/10.1001/jama.2017.7217.
  • Yuan, M. , and Lin, Y. (2006), “Model Selection and Estimation in Regression With Grouped Variables,” Journal of the Royal Statistical Society, Series B, 68, 49–67. DOI: https://doi.org/10.1111/j.1467-9868.2005.00532.x.
  • Zhang, C.-H. (2010), “Nearly Unbiased Variable Selection Under Minimax Concave Penalty,” The Annals of Statistics , 38, 894–942. DOI: https://doi.org/10.1214/09-AOS729.
  • Zhang, H. , Legro, R. S. , Zhang, J. , Zhang, L. , Chen, X. , Huang, H. , Casson, P. R. , Schlaff, W. D. , Diamond, M. P. , Krawetz, S. A. , Coutifaris, C. , Brzyski, R. G. , Christman, G. M. , Santoro, N. F. , and Eisenberg, E. (2010), “Decision Trees for Identifying Predictors of Treatment Effectiveness in Clinical Trials and its Application to Ovulation in a Study of Women With Polycystic Ovary Syndrome,” Human Reproduction , 25, 2612–2621. DOI: https://doi.org/10.1093/humrep/deq210.
  • Zhao, P. , and Yu, B. (2006), “On Model Selection Consistency of Lasso,” The Journal of Machine Learning Research , 7, 2541–2563.
  • Zhao, P. , Rocha, G. , and Yu, B. (2009), “The Composite Absolute Penalties Family for Grouped and Hierarchical Variable Selection,” The Annals of Statistics , 37, 3468–3497. DOI: https://doi.org/10.1214/07-AOS584.
  • Zou, H. (2006), “The Adaptive Lasso and its Oracle Properties,” Journal of the American Statistical Association , 101, 1418–1429. DOI: https://doi.org/10.1198/016214506000000735.