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(Circulation. 2006;114:2298-2303.)
© 2006 American Heart Association, Inc.
Special Report |
From Brigham and Womens Hospital, Harvard Medical School, Boston, Mass (H.S., M.A.P., S.D.S.); SOCAR Research SA, Nyon, Switzerland (J.L.); and Erasmus Medical Centre, Rotterdam, the Netherlands (J.L.).
Correspondence to Professor Marc A. Pfeffer, Cardiovascular Division, Brigham and Womens Hospital, 75 Francis St, Boston, MA 02115. E-mail mpfeffer{at}rics.bwh.harvard.edu
| Abstract |
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Key Words: heart failure trials methods
| Introduction |
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To test the hypothesis that a novel therapy offers clinical value in a stable, modernly managed population, composite end points have been used more frequently as a primary outcome measure for HF RCTs. Combining death with HF hospitalization is attractive because this nonfatal outcome is clinically and economically important and is associated with a subsequent higher risk of death.12,13 Moreover, the nonfatal aspect of this composite end point is meaningful, definable, and a disease-specific target for a potential therapy to improve clinical outcomes in HF.
When the composite of all-cause mortality or HF hospitalization is used, however, an assumption must be made in the design phase of the RCT regarding the incremental number of events that would be added when this composite end point is used instead of all-cause mortality. We conducted an analysis of the incremental benefits achieved by using this composite end point in HF RCTs.
| Methods |
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The duration of follow-up for these RCTs varied considerably; hence, standardized event rates were calculated for comparisons. For a constant (absolute) hazard (expressed as the number of events per unit of patient time "at risk" of event), the event-specific risk depends on the duration of follow-up and follows from St=exp(h.t), where h is the event hazard, St is the proportion of patients that is event-free, and t is the duration of follow-up. Accordingly, reported proportions of patients with events can only be compared when duration of follow-up is similar. We made the additional assumption that the hazard rate in each treatment arm of each trial was constant over time. For a chronic disease and a relatively short follow-up (no effect of aging), this is a reasonable assumption.14
In the present analysis we considered the hazard rate for the following 2 end points: (1) all-cause mortality and (2) all-cause mortality or first hospitalization for HF (combined end point). Only the Metoprolol CR/XL Randomized Intervention Trial in Congestive Heart Failure (MERIT-HF)15 reported directly the necessary data to estimate hazards rates for these end points (duration in patient-years of follow-up for each end point). For 6 other trials, data were provided by the investigators. For all other trials, we calculated hazard rates by treatment arm for the 2 end points of interest on the basis of information available in the article. Because there is no uniformity in the manner in which results of trials are reported,16 we used several different methods and sometimes had to make additional assumptions. Full details of our calculations for each trial considered are given in the Appendix (in the online-only Data Supplement). Briefly, we based our calculations on (1) data obtained from figures and numbers displayed below Kaplan-Meier curves; (2) hazard estimates from Kaplan-Meier curves; and (3) solving 2 equations with 2 unknowns where the 2 unknowns are the arm-specific length of follow-up, with the equations containing the combined mean duration of follow-up, hazard ratio, and number of patients and events per treatment arm.
To avoid the different therapeutic effects being investigated in each of these trials, the analyses were based exclusively on the placebo arm event rates. The contribution of adding HF hospitalization to all-cause mortality was analyzed in 2 ways: (1) the percent increase was defined as the relative difference between the event rate of the composite end point and of all-cause mortality [(compositemortality)/mortality]; and (2) the increment rate was defined as the difference between the composite end point event rate and the mortality event rate, both per 100 patient-years of follow-up. The placebo mortality rate per 100 patient-years of follow-up was used to characterize the severity of the disease in each of the trials.
Duration of the trial, if not specified by the authors, was derived on the basis of the starting and ending dates of patient enrollment and end of trial (half the accrual period added to the follow-up period). Otherwise, it was estimated as the mean follow-up as stated by the authors.
| Results |
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The use of a composite end point yielded a relative increase in the event rate ranging from 64% to 134% (mean [SD], 89% [25%]). The percent increase in the end point rate was not correlated with the severity of the illness as characterized by the annual placebo mortality rate (r=0.15, P=0.64; Figure 2). Despite a 5-fold difference in mortality rate between SOLVD-P and VEST, there was a similar relative increase in the end point incidence with the use of the composite end point.
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In terms of annual incremental event rate, SOLVD-P had the smallest annual increment with 3.7 added events per 100 patient-years, whereas in COPERNICUS there were 26.6 additional events per 100 patient-years of follow-up. When analyzed by length of trial in months, the increment rate was clustered in the range of 3.7 to 10.1 additional events per 100 patient-years in the longer-duration trials (>18 months) compared with a greater variability of the incremental rate in the shorter-duration trials (<18 months), ranging from 12.9 to 26.6 additional events per 100 patient-years (Figure 3).
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| Discussion |
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or type I error, usually 5%), the desired power (1-ß or type II error, usually 85% to 95%), the control group event rate, and the magnitude of the expected difference to be detected.29,30 With the use of these parameters (
=5%, power=90%, risk reduction=20%), a theoretical increase in the control arm event rate from 10% to 20% would reduce the overall sample size of the trial from 9000 to 4000 patients, which is a significant and attractive objective. Nevertheless, the sample size calculation is an estimation that is based on hypothesized numbers and presumed approximations obtained from prior studies and/or clinical knowledge. The emergence of the composite end point in clinical trials stemmed from, among other requirements, the need to increase the event rate of an individual end point to arrive at a reasonable (and economically feasible) sample size.31 This approach has already been used in a variety of cardiovascular RCTs. Studies of fibrinolysis in acute coronary syndromes required a continuing increase in sample sizes to test for an alteration in all-cause mortality as a result of the continuing improvement in short-term treatment strategies. A relatively recent study32 comparing 4 thrombolytic strategies in acute myocardial infarction enrolled 41 000 patients to demonstrate a survival advantage in contrast to earlier mortality trials. In the current era, with excellent short-term prognosis, trials of acute coronary syndromes would require extremely large sample sizes to test for an exclusive mortality benefit. Braunwald et al33,34 introduced the notion of the "unsatisfactory outcome" end point for fibrinolysis trials. This approach combines mortality and other "undesirable" outcomes (recurrent myocardial infarction, development of cardiogenic shock or of severe sustained HF, and development of severe bleeding) after the administration of a fibrinolytic therapy. This end point can be used either as a dichotomous end point, assessing whether a patient experienced any of the prespecified events, or as a score conferred to each patient on the basis of the worse event experienced. Both methods allow for an increase in event rates and statistical power. Likewise, in 4 early major lipid-lowering therapy RCTs with statins,3538 only 236,37 were designed with death as the primary end point outcome measure. Since then and more recently, the vast majority3941 targeted a composite end point that generally includes at least 1 nonfatal and often multiple end points deemed clinically important and reflecting the presumed target of the investigated therapy.
In our analyses of the 12 selected RCTs in HF, only 342 based their sample size calculations on a composite end point, and the others20,21,4346 based theirs on the incidence of deaths. Our data suggest that when a composite end point that adds hospitalizations for HF is used, the number of events that can be added greatly increases event rates (90% increase on average). However, the incremental change varies widely and was more influenced by the length of the trial than by the annual mortality rate as a marker of disease severity. RCTs with a longer duration of follow-up (>18 months) were associated with a more consistent incremental number of events ranging from 4 to 10 added events per 100 patient-years, whereas the contribution from the nonfatal component was much more variable in shorter trials. In RCTs with longer follow-up, the competing-risks effect is more likely to be encountered, and the statistical benefit of a composite end point might be masked. This may be explained by the fact that the longer that HF patients are monitored, the greater is the risk of death, especially in those who have had a hospitalization for HF.13,47 In a time-to-first-event analysis, the occurrence of subsequent events does not improve the power or affect the results. Moreover, limiting the reporting to data on first hospitalizations may result in loss of clinically meaningful information about recurrent admissions and overall burden of disease.48
Although a theoretical reason for combining multiple individual end points into a composite end point is to increase statistical power, clinical significance may be distorted. To be clinically meaningful and interpretable, all components of the composite end point should be affected in a similar direction.49 The rationale for combining end points is that the individual end points reflect the same pathophysiological properties of the disease and are similar pharmacological targets of the therapy. However, RCTs may show different results or explain new mechanisms of diseases and treatments. In atherosclerotic disease, it has been widely accepted that the same pathophysiological phenomena across major arteries (coronaries, carotid, cerebral) could justify the use of a composite end point combining stroke and myocardial infarction (fatal and nonfatal) in some antiplatelet trials.49 Furthermore, in HF trials, combining death with a nonfatal event such as HF hospitalization may camouflage possible detrimental or neutral effects with regard to death.20 In the analysis of the effect of therapy on a composite end point, one should determine whether (1) the effect is uniform across all components of the combined end point, (2) the effect is mostly carried through the most important clinical end point, or (3) the effect is mostly carried through a clinically less important end point. Accordingly, careful analyses of the individual events clustered in a composite end point should be conducted and reported.31
The present study is limited by the number of trials included and the assumptions made to derive some of the data, leading to some uncertainty related to the duration of follow-up for each end point. One of these necessary suppositions was that the composite end point of death and/or HF had a constant event rate. This is secondary to the lack of uniformity in clinical trials reporting, particularly when combined end points are used. Space limitations in journals make publication of detailed results difficult. However, with the availability of the World Wide Web, publication of appendices with detailed methods and results should facilitate this process. Another limitation is the variation in the definition of HF hospitalization across trials. Specifically, RCTs may have used different criteria for definition of HF hospitalization or death and/or HF, which may lead to some misclassification when event rates are compared across trials. In addition, not all trials used a central end points adjudication committee, which also could lead to random misclassification. The trials selected in this analysis span more than a decade and reflect therapeutic changes that have affected baseline treatment in the placebo arm throughout this time. Despite this, placebo event rates are similar in SOLVD-T, the Digitalis Investigation Group (DIG) trial, Cardiac Insufficiency Bisoprolol Study II (CIBIS II), CHARM Added, and CHARM Alternative, and, in this analysis, timing of the trial does not seem to be an important confounder.
In conclusion, combining HF hospitalization with all-cause mortality into a composite end point in a HF trial may result in a substantial increase in the event incidence; however, this increase is not uniformly proportional to the severity of the HF. Longer-duration trials yield smaller and more predictable increases. Hence, the sample size required for a short trial may not be estimated reliably on the basis of the composite end point event rate. These factors should be taken into account when clinical trials are designed and when the results of trials using multiple composite end points are reported.
| Acknowledgments |
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Disclosures
None.
| Footnotes |
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