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Building multivariable prognostic and diagnostic models: transformation of the predictors by using fractional polynomials

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Cited by:

  1. Armando Rungi & Davide Del Prete, 2017. "The ‘Smile Curve’: where Value is Added along Supply Chains," Development Working Papers 428, Centro Studi Luca d'Agliano, University of Milano.
  2. Stefanie Hieke & Axel Benner & Richard F Schlenk & Martin Schumacher & Lars Bullinger & Harald Binder, 2016. "Identifying Prognostic SNPs in Clinical Cohorts: Complementing Univariate Analyses by Resampling and Multivariable Modeling," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-18, May.
  3. Patrick Royston & Willi Sauerbrei, 2007. "Multivariable modeling with cubic regression splines: A principled approach," Stata Journal, StataCorp LP, vol. 7(1), pages 45-70, February.
  4. Dunkler, Daniela & Sauerbrei, Willi & Heinze, Georg, 2016. "Global, Parameterwise and Joint Shrinkage Factor Estimation," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 69(i08).
  5. Soini, Vesa & Lorentzen, Sindre, 2019. "Option prices and implied volatility in the crude oil market," Energy Economics, Elsevier, vol. 83(C), pages 515-539.
  6. Gustavo Soutinho & Luís Meira-Machado, 2022. "Methods for checking the Markov condition in multi-state survival data," Computational Statistics, Springer, vol. 37(2), pages 751-780, April.
  7. Augustine, Ben C. & Crowley, Philip H. & Cox, John J., 2011. "A mechanistic model of GPS collar location data: Implications for analysis and bias mitigation," Ecological Modelling, Elsevier, vol. 222(19), pages 3616-3625.
  8. Royston, P. & Sauerbrei, W., 2007. "Improving the robustness of fractional polynomial models by preliminary covariate transformation: A pragmatic approach," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4240-4253, May.
  9. Geweke, John & Petrella, Lea, 2014. "Likelihood-based inference for regular functions with fractional polynomial approximations," Journal of Econometrics, Elsevier, vol. 183(1), pages 22-30.
  10. Suvra Pal & Hongbo Yu & Zachary D. Loucks & Ian M. Harris, 2020. "Illustration of the Flexibility of Generalized Gamma Distribution in Modeling Right Censored Survival Data: Analysis of Two Cancer Datasets," Annals of Data Science, Springer, vol. 7(1), pages 77-90, March.
  11. Jun Yan & Jian Huang, 2012. "Model Selection for Cox Models with Time-Varying Coefficients," Biometrics, The International Biometric Society, vol. 68(2), pages 419-428, June.
  12. Annalisa Orenti & Patrizia Boracchi & Giuseppe Marano & Elia Biganzoli & Federico Ambrogi, 2022. "A pseudo-values regression model for non-fatal event free survival in the presence of semi-competing risks," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(3), pages 709-727, September.
  13. Xinyang Hua & Thomas Wai-Chun Lung & Andrew Palmer & Lei Si & William H. Herman & Philip Clarke, 2017. "How Consistent is the Relationship between Improved Glucose Control and Modelled Health Outcomes for People with Type 2 Diabetes Mellitus? a Systematic Review," PharmacoEconomics, Springer, vol. 35(3), pages 319-329, March.
  14. Dorothea Schafer & Axel Werwatz & Volker Zimmermann, 2004. "The Determinants of Debt and (Private) Equity Financing: The Case of Young, Innovative SMEs from Germany," Industry and Innovation, Taylor & Francis Journals, vol. 11(3), pages 225-248.
  15. Dorothea Schäfer & Axel Werwatz & Volker Zimmermann, 2004. "The Determinants of Debt and (Private-) Equity Financing in Young Innovative SMEs: Evidence from Germany," Discussion Papers of DIW Berlin 411, DIW Berlin, German Institute for Economic Research.
  16. Farber, Steven & Li, Xiao, 2013. "Urban sprawl and social interaction potential: an empirical analysis of large metropolitan regions in the United States," Journal of Transport Geography, Elsevier, vol. 31(C), pages 267-277.
  17. Patrick Royston, 2007. "Profile likelihood for estimation and confidence intervals," Stata Journal, StataCorp LP, vol. 7(3), pages 376-387, September.
  18. Sauerbrei, W. & Meier-Hirmer, C. & Benner, A. & Royston, P., 2006. "Multivariable regression model building by using fractional polynomials: Description of SAS, STATA and R programs," Computational Statistics & Data Analysis, Elsevier, vol. 50(12), pages 3464-3485, August.
  19. Griffin, John M. & Kruger, Samuel & Maturana, Gonzalo, 2021. "What drove the 2003–2006 house price boom and subsequent collapse? Disentangling competing explanations," Journal of Financial Economics, Elsevier, vol. 141(3), pages 1007-1035.
  20. Patrick Royston, 2006. "Explained variation for survival models," Stata Journal, StataCorp LP, vol. 6(1), pages 83-96, March.
  21. Patrick Royston, 2004. "Multiple imputation of missing values," Stata Journal, StataCorp LP, vol. 4(3), pages 227-241, September.
  22. Strasak, Alexander M. & Umlauf, Nikolaus & Pfeiffer, Ruth M. & Lang, Stefan, 2011. "Comparing penalized splines and fractional polynomials for flexible modelling of the effects of continuous predictor variables," Computational Statistics & Data Analysis, Elsevier, vol. 55(4), pages 1540-1551, April.
  23. Patrick Royston, 2012. "Tools to simulate realistic censored survival-time distributions," Stata Journal, StataCorp LP, vol. 12(4), pages 639-654, December.
  24. Tübbicke Stefan, 2022. "Entropy Balancing for Continuous Treatments," Journal of Econometric Methods, De Gruyter, vol. 11(1), pages 71-89, January.
  25. Marco Caliendo & Stefan Tübbicke, 2020. "New evidence on long-term effects of start-up subsidies: matching estimates and their robustness," Empirical Economics, Springer, vol. 59(4), pages 1605-1631, October.
  26. Jackson, Christopher, 2016. "flexsurv: A Platform for Parametric Survival Modeling in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 70(i08).
  27. Mike G. Tsionas, 2017. "“When, Where, and How” of Efficiency Estimation: Improved Procedures for Stochastic Frontier Modeling," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(519), pages 948-965, July.
  28. Stefanie Hieke & Harald Binder & Alexandra Nieters & Martin Schumacher, 2014. "minPtest: a resampling based gene region-level testing procedure for genetic case-control studies," Computational Statistics, Springer, vol. 29(1), pages 51-63, February.
  29. Daniel McNeish & Denis Dumas & Dario Torre & Neil Rice, 2022. "Modelling time to maximum competency in medical student progress tests," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(4), pages 2007-2034, October.
  30. Wei Wang & Jeffrey M. Albert, 2017. "Causal mediation analysis for the Cox proportional hazards model with a smooth baseline hazard estimator," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(4), pages 741-757, August.
  31. Gwilym Pryce, 2011. "Bidding Conventions and the Degree of Overpricing in the Market for Houses," Urban Studies, Urban Studies Journal Limited, vol. 48(4), pages 765-791, March.
  32. Hoora Moradian & Denis Larocque & François Bellavance, 2017. "$$L_1$$ L 1 splitting rules in survival forests," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(4), pages 671-691, October.
  33. John K. Pattison‐Williams & Philippe Marcoul & Sandeep Mohapatra, 2023. "Intrahousehold moral hazard frictions and household poverty traps in rural India," Economics of Transition and Institutional Change, John Wiley & Sons, vol. 31(1), pages 67-96, January.
  34. Sauerbrei, Willi & Royston, Patrick & Zapien, Karina, 2007. "Detecting an interaction between treatment and a continuous covariate: A comparison of two approaches," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 4054-4063, May.
  35. Charles-Olivier Amédée-Manesme & Fabrice Barthélémy & Didier Maillard, 2019. "Computation of the corrected Cornish–Fisher expansion using the response surface methodology: application to VaR and CVaR," Annals of Operations Research, Springer, vol. 281(1), pages 423-453, October.
  36. Ali Fakih & Walid Marrouch, 2019. "Environmental Kuznets Curve, a Mirage? A Non-parametric Analysis for MENA Countries," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 25(1), pages 113-119, February.
  37. Binder, Harald & Sauerbrei, Willi, 2008. "Increasing the usefulness of additive spline models by knot removal," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5305-5318, August.
  38. Marisa Rifada & Vita Ratnasari & Purhadi Purhadi, 2023. "Parameter Estimation and Hypothesis Testing of The Bivariate Polynomial Ordinal Logistic Regression Model," Mathematics, MDPI, vol. 11(3), pages 1-12, January.
  39. Patrick Royston & Willi Sauerbrei, 2009. "Two techniques for investigating interactions between treatment and continuous covariates in clinical trials," Stata Journal, StataCorp LP, vol. 9(2), pages 230-251, June.
  40. Kamal, Javed Bin, 2014. "Asset based poverty and wealth accumulation in low income households in Bangladesh," MPRA Paper 61528, University Library of Munich, Germany.
  41. Christopher Lant & Timothy J. Stoebner & Justin T. Schoof & Benjamin Crabb, 2016. "The effect of climate change on rural land cover patterns in the Central United States," Climatic Change, Springer, vol. 138(3), pages 585-602, October.
  42. William D. Dupont, 2010. "Review of Multivariable Model-building: A Pragmatic Approach to Regression Analysis Based on Fractional Polynomials for Modeling Continuous Variables, by Royston and Sauerbrei," Stata Journal, StataCorp LP, vol. 10(2), pages 297-302, June.
  43. Harald Binder & Willi Sauerbrei, 2009. "Stability analysis of an additive spline model for respiratory health data by using knot removal," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 58(5), pages 577-600, December.
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