We are grateful for the interest from Hu et al. in our article.1,2 There are different ways to select variables to be selected in a regression model, and there are different preferences among researchers.
In general, p-values driven selection of covariates, such as stepwise selection of covariates, are being criticized by an increasing number of analysts, see Lydersen (2015) and references therein.3
Our initial list of candidate preventable risk factors were based on apriori judgment and potential clinical relevance, with use of conceptual frameworks as directed acyclic graphs to identify possible confounders.4 Then, we kept as candidate preventable risk factors only those that were statistically significant in the univariate analysis. For the rest, we have refrained from p-value driven selection of additional covariates. We did also ensure that no pairs of variables in the presented multivariable models were correlated to an extent that would lead to multicollinearity.
We regard the step 2 and 3 proposed by you as having the potential to introduce similar problems as stepwise selection of covariates. We agree that the associations between postoperative haemoglobin and albumin and acute kidney injury are interesting. However, inclusion of postoperative albumin in a large multivariable model might have led to collider bias5 as several other covariates and the outcome all could lead to low albumin. Details of postoperative sepsis were unfortunately not available in our data set.
We apologize for not clarifying these aspects clearly enough in the original article and once again want to express our gratitude to Hu et al. for their good questions.
Footnotes
ORCID iDs: Julie Brauner Christensen
https://orcid.org/0000-0001-7827-4499
Martin Aasbrenn
https://orcid.org/0000-0003-3637-5763
References
- 1. Christensen JB, Aasbrenn M, Castillo LS, et al. Predictors of acute kidney injury after hip fracture in older adults. Geriatr Orthop Surg Rehabil. 2020;11 doi:10.1177/2151459320920088 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2. Hu Z, Xue F, Su K. Commentary on “Predictors of acute kidney injury after hip fracture in older adults.” Geriatr Orthop Surg Rehabil. 2020;11 doi:10.1177/2151459320964754 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 3. Lydersen S. Statistical review, frequently given comments. Ann Rheum Dis. 2015;74(2):323–325. [DOI] [PubMed] [Google Scholar]
- 4. Hernán MA, Hernández-Díaz S, Robins JM. A structural approach to selection bias. Epidemiology. 2004;15(5):615–625. [DOI] [PubMed] [Google Scholar]
- 5. Cole SR, Platt RW, Schisterman EF, et al. Illustrating bias due to conditioning on a collider. Int J Epidemiol. 2010;39(2):417–420. [DOI] [PMC free article] [PubMed] [Google Scholar]
