In the electronic pages of the March 2004 issue of Pediatrics, Lynch
and colleagues derive a clinical prediction rule for the presence of focal
infiltrates in children who present with clinically suspected pneumonia in
a pediatric emergency department.(1) Despite the authors’ claim that “the
prospective evaluation of this multivariate prediction rule in a clinical
setting is still required,” limitations in the derivation of their rule
make it unlikely that the resulting rule will be applicable in a clinical
setting.
The prediction rule of Lynch et. al. has an area under the receiver-
operator characteristic curve (AUROC) of 0.668. The receiver-operator
characteristic curve plots sensitivity against 1 minus the specificity.
Given that an AUC of 0.5 represents random chance, and that an AUC of 1.0
represents a model that will correctly predict the desired outcome 100% of
the time, and AUC of 0.67 is not much better than a random coin toss. In
general, one wants an AUC (or a c-index) that is “far above 0.5,”(2) in
general at least 0.75 – 0.8, before one feels that a clinical prediction
rule will be robust enough for external validation studies.
The high prevalence of radiographic pneumonia in this study
population (36%) will make it difficult to apply in most clinical
settings. For instance, in pediatric emergency departments in the United
States, the prevalence of positive chest radiographs in children suspected
of pneumonia has ranged between 7 and 19 percent.(3) We calculated the
positive predictive value of this prediction rule, using the data
presented in “model 7,” at 37%. If the prevalence of radiographically
confirmed pneumonia were 10% instead of 36%, the positive predictive value
would drop to from 37% to 10.5%.
A robust measure of any diagnostic test, be it a single laboratory
test or a clinical prediction rule, is the likelihood ratio (LR), which is
the probability of the test result in patients with disease (focal
infiltrates) divided by the probability of the same finding in patients
without disease. Using model 7 as presented in Lynch et. al., the LR of a
positive test is 1.07, which lacks any diagnostic value. The LR for a
negative test is 0.26, which implies a decrease in the probability of
infiltrate on chest X-ray of between 25-30%.(4)
A number of more technical limitations also apply to this prediction
rule. The final model was derived using backward stepwise logistic
regression. It has been demonstrated that such a model will present an
overly optimistic performance of the final rule,(5) and therefore the
model needs to be internally validated before any consideration is given
to testing on the rule in new populations. Techniques for this internal
validation include split-sample, cross-validation, and bootstrapping
methods.(6) Such testing of the reproducibility of the predictive
variables has been recommended as a methodological standard for clinical
prediction rules.(7)
In adults, the limitations of clinical prediction rules in the
diagnosis of pneumonia has been demonstrated.(8) Taken in sum, the
limitations in the pediatric prediction rule of Lynch et. al. would imply
that the answer to the question in the authors’ title (“Can we predict
which children with clinically suspected pneumonia will have the presence
of focal infiltrates on chest radiographs?”) is “no,” at least not with
the data presented.
References
1. Lynch T, Platt R, Gouin S, Larson C, Patenaude Y. Can we predict
which children with clinically suspected pneumonia will have the presence
of focal infiltrates on chest radiographs? Pediatrics 2004;113:e186-e189.
URL: http://www.pediatrics.org/cgi/content/full/113/3/e186.
2. Braitman LE, Davidoff F. Predicting clinical states in individual
patients. Ann Intern Med 1996;125:406-412.
3. Margolis P, Gadomski A. Does this infant have pneumonia? JAMA
1998;279:308-313.
4. McGee S. Simplifying likelihood ratios. J Gen Intern Med
2002;17:646-649.
5. Harrell FE Jr, Lee KL, Mark DB. Multivariable prognostic models:
issues in developing models, evaluating assumptions and adequacy, and
measuring and reducing errors. Stat Med 1996;15:361-387.
6. Steyerberg EW, Harrell FE Jr, Borsboom GJJM, Eijkemans MJC,
Vergouwe Y, Habbema JDF. Internal validation of predictive models:
efficiency of some procedures for logistic regression analysis. Journal
Clinical Epidemiology 2001;54:774-781.
7. Laupacis A, Sekar N, Stiell IG. Clinical prediction rules: a
review and suggested modifications of methodological standards. JAMA
1997;277:488-494.
8. Metlay JP, Kapoor WN, Fine MJ. Does this patient have community-
acquired pneumonia? Diagnosing pneumonia by history and physical
examination. JAMA 1997;278:1440-1445.