Changes in Mortality After Massachusetts Health Care Reform: A Quasi-experimental Study
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Changes in Mortality After Massachusetts Health Care Reform: A Quasi-experimental Study. Ann Intern Med.2014;160:585-593. [Epub 6 May 2014]. doi:10.7326/M13-2275
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Comment
REFERENCE
1. Sommers BD, Long SK, Baicker K. Changes in Mortality After Massachusetts Health Care Reform: A Quasi-experimental Study. Annals of Internal Medicine 2014; 160(9): 585-93.
Comment
One potential problem with the analysis was that inferences were based on an approach that was unlikely to be valid. The natural experiment that was the basis of the analysis was characterized by only one treatment state among 47 states and sample sizes in the states that were quite uneven in terms of the number of observations per state. In these settings, common approaches to inference have been shown to significantly over reject the null hypothesis. (3-5)
I assessed the extent of the potential inference problem by calculating p-values for estimates in the article using randomization inference methods. (6) The p-values derived from this method were very large and ranged from 0.277 to 0.783. These p-values indicate that none of the estimates reported in the article are statistically significant at commonly accepted levels of significance. Moreover, given the relatively large magnitudes of the estimates that were reported, the large p-values associated with these estimates suggest that the analysis lacked adequate statistical power to detect plausible effect sizes. In sum, my analysis indicates that the question of whether Massachusetts health reform affected mortality remains unanswered.
Robert Kaestner, Ph.D.
Institute of Government and Public Affairs
References
1. Sommers, Benjamin D., Sharon K. Long, and Katherine Baicker. 2014. “Changes in Mortality After Massachusetts Health Care Reform: A Quasi-Experimental Study.” Annals of Internal Medicine 160 (9): 585–93. doi:10.7326/M13-2275.
2. Tavernise, Sabrina. “Mortality Drop Seen to Follow ’06 Health Law,” The New York Times, May 5 2014. http://www.nytimes.com/2014/05/06/health/death-rate-fell-in-massachusetts-after-health-care-overhaul.html?_r=0, last accessed January 30, 2015. (A version of this article appears in print on May 6, 2014, on page A16 of the New York edition with the headline: Mortality Drop Follows Massachusetts Health Law.)
3. Cameron, A. Colin, Jonah B. Gelbach, and Douglas L. Miller. 2008. “Bootstrap-Based Improvements for Inference with Clustered Errors.” The Review of Economics and Statistics 90 (3): 414–27.
4. Conley, Timothy G., and Christopher R. Taber. 2011. “Inferences with “Difference in Differences” with a Small Number of Policy Changes.” The Review of Economics and Statistics 93 (1): 113-125.
5. MacKinnon, James G., and Matthew D. Webb. 2014. Wild Bootstrap Inference for Wildly Different Cluster Sizes. Working Paper 1314. Queen’s University, Department of Economics. https://ideas.repec.org/p/qed/wpaper/1314.html, last accessed January 30, 2015.
6. Rosenbaum, Paul R. 2002. “Covariance Adjustment in Randomized Experiments and Observational Studies.” Statistical Science 17 (3): 286–327. doi:10.1214/ss/1042727942.
Authors' Response to Dr. Kaestner's Comment
Lacking sufficient detail on the analysis conducted by Dr. Kaestner, we cannot evaluate the soundness of his approach or the validity of his results. However, we believe his concern about uneven cluster size driving spurious results is addressed by the state-level analysis presented in Appendix Table 4 of our paper, described in detail in the on-line Supplemental Appendix.(1) We analyzed the study’s 47 states using annual state race-age-sex mortality rates. The analysis used a sample with an identical number of observations per state cluster – 288 race-sex-age yearly mortality rates – in 43 of the 47 states, while the other four states had some empty race-sex-age cells, leading to state samples ranging from 241-285. In that analysis, which avoids Dr. Kaestner’s primary methodological concern, we found large and statistically significant reductions in unadjusted all-cause mortality, as well as adjusted and unadjusted heath-care amenable mortality. Thus, the key results of the paper do not appear to be driven by uneven cluster sizes.
More generally, our paper builds on numerous studies of Massachusetts health reform that have taken similar approaches with state-level clustering, using well-established methods for these sorts of analyses.(2,3) Our results remained statistically significant (Appendix Table 4) when using county-level clustering, which has been used by other researchers in county-based analyses of Massachusetts health reform such as ours.(4,5)
Of course, all statistical estimation techniques have strengths and weaknesses, and the standard errors in quasi-experimental approaches are often sensitive to assumptions. This concern motivated the multiple approaches taken in the Appendix. We were reassured by the robustness of the results across approaches. We agree that great care must be taken with statistical inference in designs such as ours, but our analysis indicates that our use of comprehensive mortality statistics capturing every death in the study population of nearly 50 million people over nine years generated more than sufficient power to detect clinically meaningful mortality changes.
REFERENCES
1. Sommers BD, Long SK, Baicker K. Changes in Mortality After Massachusetts Health Care Reform: A Quasi-experimental Study. Ann Intern Med. May 6 2014;160(9):585-593.
2. Courtemanche CJ, Zapata D. Does universal coverage improve health? The Massachusetts experience. J Policy Anal Manage. Winter 2014;33(1):36-69.
3. Van Der Wees PJ, Zaslavsky AM, Ayanian JZ. Improvements in health status after Massachusetts health care reform. Milbank Q. Dec 2013;91(4):663-689.
4. Miller S. The effect of insurance on emergency room visits: An analysis of the 2006 Massachusetts health reform. J Pub Econ. 2012;96(11-12):893-908.
5. Hanchate AD, Lasser KE, Kapoor A, et al. Massachusetts reform and disparities in inpatient care utilization. Med Care. Jul 2012;50(7):569-577.
Disclosures: Dr. Sommers is an advisor in the Office of the Assistant Secretary for Planning and Evaluation at the U.S. Department of Health and Human Services. However, this paper was written in Dr. Sommers’ capacity as a Harvard employee and does not represent the views of the
U.S. Department of Health and Human Services. We received no funding for this work.