Advertisement
Letters to the Editor| Volume 63, ISSUE 5, P709-710, November 2022

Problems in Conducting and Reporting Logistic Regression Analysis

      To the Editor:
      I read the article by Thoppil et al. (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ) entitled “SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days,” published in the June 2022 issue of the Journal (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ). This article is a retrospective cohort study aiming to evaluate the relationship between SARS-CoV-2 test positivity and acute vascular thrombosis using the RECOVER registry. Although the study was based on a fairly large sample, the multivariable modeling used for venous and arterial thromboembolic disease does not meet the essential requirements of logistic regression analysis.
      In a study using multivariable logistic regression analysis, all possible variables that may affect the predictor variable should be included in the final analysis. In addition, the number of events per variable should be as large as possible for the validity of the model (
      • Bagley SC
      • White H
      • Golomb BA.
      Logistic regression in the medical literature: standards for use and reporting, with particular attention to one medical domain.
      ). In this study, only 7 variables were included in the model (presence of cancer, age, gender, hospital length of stay, intubation, intensive care unit stay, and SARS-CoV-2 positivity). It is not possible to claim that only these variables affect patient outcomes (the occurrence of arterial or venous thromboembolism). Both conditions occur with different pathophysiological processes, and the risk factors for each condition also differ. In a regression model, it should be stated whether the variables included in the multivariable model in logistic regression analysis were taken from previous studies or from univariate analysis results. In Thoppil et al. (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ), it is not clear how these variables were included in the final analysis (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ). In addition, the event rates in the groups are at the level of 0.3% to 0.4%, which can seriously affect the reliability of the model.
      One of the analyses that should be done in logistic regression analysis is multicollinearity. This analysis evaluates the effect of variables that correlate with each other in the multivariable model (
      • Bagley SC
      • White H
      • Golomb BA.
      Logistic regression in the medical literature: standards for use and reporting, with particular attention to one medical domain.
      ,
      • Tanboğa IH
      • Kurt M
      • Işik T
      • et al.
      Assessment of multivariate logistic regression analysis in articles published in Turkish cardiology journals.
      ). In the absence of this analysis, the final result may appear statistically insignificant if there is a strong relationship between the 2 independent variables. In Thoppil et al. (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ), the interaction of possibly correlated variables such as intubation and intensive care unit admission was not evaluated (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ).
      Finally, in both models, goodness of fit should have been presented by a test such as receiver operating characteristic analysis or the Hosmer-Lemeshow test. Since these test results are not presented in the article, we have no chance to evaluate the goodness of fit.
      The problems mentioned here are not only the limitations of the article but are also the main problems that directly affect the study results. Basal characteristics of patients from a large registry cannot be evaluated accurately, possible confounding factors cannot be eliminated, and information about the severity of the predictor variable cannot be obtained. Statistical analysis was made in the article without fulfilling the basic requirements of logistic regression analysis. Instead, the results focused on odds ratios and p values. In addition, Tan et al. have reached opposite results in the meta-analysis they recently published (
      • Tan BK
      • Mainbourg S
      • Friggeri A
      • et al.
      Arterial and venous thromboembolism in COVID-19: a study-level meta-analysis.
      ). For this reason, I think that the conclusion put forward by Thoppil et al. (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ) should be carefully evaluated (
      • Thoppil JJ
      • Courtney DM
      • McDonald S
      • et al.
      SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
      ).

      References

        • Thoppil JJ
        • Courtney DM
        • McDonald S
        • et al.
        SARS-CoV-2 positivity in ambulatory symptomatic patients is not associated with increased venous or arterial thrombotic events in the subsequent 30 days.
        J Emerg Med. 2022; 62: 716-724
        • Bagley SC
        • White H
        • Golomb BA.
        Logistic regression in the medical literature: standards for use and reporting, with particular attention to one medical domain.
        J Clin Epidemiol. 2001; 54: 979-985
        • Tanboğa IH
        • Kurt M
        • Işik T
        • et al.
        Assessment of multivariate logistic regression analysis in articles published in Turkish cardiology journals.
        Turk Kardiyol Dern Ars. 2012; 40: 129-134
        • Tan BK
        • Mainbourg S
        • Friggeri A
        • et al.
        Arterial and venous thromboembolism in COVID-19: a study-level meta-analysis.
        Thorax. 2021; 76: 970-979

      Linked Article