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. 2014 Jan 15;179(2):226-35.
doi: 10.1093/aje/kwt212. Epub 2013 Oct 10.

Selecting an appropriate caliper can be essential for achieving good balance with propensity score matching

Selecting an appropriate caliper can be essential for achieving good balance with propensity score matching (V体育官网入口)

Mark Lunt. Am J Epidemiol. .

"V体育ios版" Abstract

Matching on the propensity score is widely used to estimate the effect of an exposure in observational studies VSports手机版. However, the quality of the matches can be affected by decisions made during the matching process, particularly the order in which subjects are selected for matching and the maximum permitted difference between matched subjects (the "caliper"). This study used simulations to explore the effects of these decisions on both the imbalance of covariates and the closeness of matching, while allowing the numbers of potential matches and strengths of association between the confounding variable and the exposure to vary. It was found that, without a caliper, substantial bias was possible, particularly with a relatively small reservoir of potential matches and strong confounder-exposure association. Use of the recommended caliper reduced the bias considerably, but bias remained if subjects were selected by increasing or decreasing propensity score. A tighter caliper led to greatly reduced bias and closer matches, although some subjects could not be matched. This study suggests that a narrow caliper can improve the performance of propensity score matching. In situations where it is impossible to find appropriate matches for all exposed subjects, it is better to select subjects in order of the best available matches, rather than increasing or decreasing the propensity score. .

Keywords: caliper; covariate balance; matching; propensity score V体育安卓版. .

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Figures

Figure 1.
Figure 1.
Distribution of X in exposed and unexposed subjects when the log of the odds ratio for the effect of X on exposure takes the values A) 1.5, B) 2, C) 5, and D) 10. The solid line represents treated subjects, and the dashed line represents untreated subjects.
Figure 2.
Figure 2.
Scatter plot of X in matched control against X in exposed subject when no caliper is used. A and C show the results when there are 2 controls per case; B and D show 10 controls per case. In A and B, the odds ratio for the effect of X on exposure is 1.5, and in C and D it is 10. Matching methods used are symbolized as follows: blue x, descending; red o, ascending; yellow x, random; green o, best-first; and brown +, 5-to-1-digit. The diagonal line represents perfect matches.
Figure 3.
Figure 3.
Scatter plot of X in matched control against X in exposed subject by using 0.25-standard deviation caliper. A and C show the results when there are 2 controls per case, and B and D show 10 controls per case. In A and B, the odds ratio for the effect of X on exposure is 1.5, and in C and D it is 10. Matching methods used are symbolized as follows: blue x, descending; red o, ascending; yellow x, random; green o, best-first; and brown +, 5-to-1-digit.
Figure 4.
Figure 4.
Cumulative frequency plot for the magnitude of the difference between the logit of the propensity score for a given exposed subject and the logit of the propensity score for the matched unexposed subject.

V体育ios版 - References

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