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Anesth Analg 2007;104:1597-1598
© 2007 International Anesthesia Research Society
doi: 10.1213/01.ane.0000260644.81303.ab


LETTER TO THE EDITOR

Section Editor:
Lawrence Saidman

Occam’s Razor

Steven L. Shafer, MD

Stanford University; Editor-in-Chief; Anesthesia & Analgesia; steven.shafer{at}stanford.edu

In Response:

As noted in the prior two letters (1,2), the manuscript by Basran et al. (3) contains errors in the tables. Specifically, the odds ratios are not the geometric means of the upper and lower bounds of the confidence intervals.

To respond to the concerns of Rothmann, Braun, and Ng, the authors attempted to return to their data analysis and figure out which was incorrect, the odds ratio or the confidence intervals. However, the study was done 5 years ago, when the authors were at Columbia University. Since then the authors have left Columbia. None of the authors can locate the original data set. What should we do?

First, let’s consider the tables. As Rothmann, Braun, and Ng point out, the tables are internally inconsistent. Indeed, in every line of Tables 2–4, the odds ratio is not the geometric mean of the upper and lower bounds of confidence interval. Which is correct, the odds ratio, or the confidence interval? If the confidence intervals are correct, then every line in Tables 2–4 contains three separate errors: 1) an error in the odds ratio, 2) an error in the P value, and 3) an error in the calculation of the confidence interval that offsets the error in the odds ratio (remember that confidence intervals are calculated from the odds ratio). Occam’s razor suggests that there is a single error in the calculation of the confidence intervals, rather than three offsetting errors yielding a correct confidence interval about an incorrect odds ratio.


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Revised Table 2.

 


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Revised Table 3.

 


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Revised Table 4.

 
Through a little math (available in a data supplement to this letter at www.anesthesia-analgesia.org) we can calculate the confidence intervals based upon the hazards ratio and the P value (which is typically rounded up, and so the estimates are somewhat wider than they should be). These are shown in revised Tables 2–4.

Second, what to do about the manuscript itself? The authors have lost the data. They cannot defend their results. How embarrassing! The authors considered retracting the manuscript, as did the Editorial Board of Anesthesia & Analgesia. However, retraction implies that the findings are not to be believed. Turning again to Occam’s razor, the most simple explanation is that the files were simply lost as people moved about, and that the only problem with the manuscript is the incorrectly calculated confidence interval. If this is the case, then the findings of the manuscript still stand, albeit weakly. After much deliberation, all parties decided that the manuscript would not be retracted, but that the author’s inability to find the original data should be publicly stated.

The findings of the manuscript are important. The authors, and other laboratories, need to replicate these findings. The lives of our patients depend upon our knowing whether there is increased risk of transfusing blood that is nearing its expiration date.

Footnotes

This article has supplementary material on the Web site: www.anesthesia-analgesia.org.

REFERENCES

  1. Rothmann M, Braun MM, Ng T-H. On the hazard ratios and corresponding confidence intervals that appear in Basran et al. (2006). Anesth Analg 2007;104:1597.[Free Full Text]
  2. Basran S, Frumento RJ, Cohen A, et al. Reply to "On the hazard ratios and corresponding confidence intervals that appear in Basran et al. (2006)." Anesth Analg 2007;104:1597.[Free Full Text]
  3. Basran S, Frumento RJ, Cohen A, et al. The association between duration of storage of transfused red blood cells and morbidity and mortality after reoperative cardiac surgery. Anesth Analg 2006;103: 15–20.[Abstract/Free Full Text]




This Article
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Lippincott, Williams & Wilkins Anesthesia & Analgesia® is published for the International Anesthesia Research Society® by Lippincott Williams & Wilkins with the assistance of Stanford University Libraries' HighWire Press®. Copyright 2006 by the International Anesthesia Research Society. Online ISSN: 1526-7598   Print ISSN: 0003-2999 HighWire Press