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(Stroke. 2007;38:1515.)
© 2007 American Heart Association, Inc.
Original Contributions |
From the Stroke Center and Department of Neurology, David Geffen School of Medicine at the University of California, Los Angeles.
Correspondence to Jeffrey L. Saver, MD, University of California, Los Angeles (UCLA) Stroke Center, 710 Westwood Plaza, Los Angeles, CA 90095. E-mail jsaver{at}ucla.edu
| Abstract |
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Methods— The minimum and maximum possible NNTs for benefit over the range of mRS global disability outcomes were calculated by completing a joint distribution outcome table for a model population of 1000 patients, shifting responders by the greatest and smallest possible increments, respectively. The biologically most plausible NNT within this range was derived by having 10 neurologist and emergency-physician acute stroke-care experts independently specify the joint distribution of outcomes in model samples of 1000 patients assigned to placebo and active therapy.
Results— The minimum possible NNT for benefit incorporating all mRS state transitions is 7.9 and the maximum is 16.7. The biologically most plausible NNT for 1 additional patient to have a better outcome by 1 or more grades on the mRS outcomes is 9.8 (95% CI, 8.7 to 10.9).
Conclusions— Considering improvements in global disability over the entire outcome range, the SAINT I trial results indicate that for every 100 patients treated,
10 will benefit and none be harmed as a result of treatment.
Key Words: acute stroke cerebrovascular disease clinical trials neuroprotective agents stroke therapy
| Introduction |
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A challenge of trials that test whether a treatment produces a shift in outcomes over a functional range is translating the treatment effect into terms that are meaningful to patients and clinicians. As the first phase 3 stroke trial to use "shift analysis" as its primary prespecified end point-analysis technique and the first neuroprotective phase 3 trial to have a positive outcome requiring clinical translation, the Stroke Acute Ischemic NXY Treatment (SAINT) I trial provides an important instance of this challenge.9
Expert generation of joint outcome tables is a recently described method permitting derivation of clinically useful number-needed-to-treat (NNT) estimates over the entire range of functional outcomes.4 The goal of this study was to derive from the SAINT I data clinically useful NNT estimates of the benefit of NXY-059 in acute stroke across the entire range of functional outcomes.
| Methods |
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Each expert was presented with an Excel spreadsheet. The spreadsheet included: (1) definitions of each mRS outcome category, (2) the distribution of mRS outcomes in the placebo and NXY-059 treatment groups in the SAINT I study, and (3) the rates of symptomatic intracerebral hemorrhage in the placebo and NXY-059 treatment groups in the SAINT I study. As in the primary prespecified SAINT I trial analysis, mRS categories 5 (severe disability) and 6 (death) were collapsed into a single worst outcome category, yielding a 6 level mRS scale. In the center of the spreadsheet was a joint-distribution table of outcomes, initially with all 1000 model patients arrayed in placebo distribution cells. The panel member redistributed patients iteratively to complete the joint-distribution table, under the instruction to specify the joint distribution most likely to occur among a typical group of 1000 patients who are treated with NXY-059 and who match the SAINT I study population. The expert first filled cells via improved outcomes to achieve the observed SAINT I study distribution, then filled cells to capture worsened outcomes if they felt any occurred, and then added to cells via improved outcomes to reachieve the target observed SAINT I study distribution. The expert was then asked to globally re-examine all cells and readjust the joint distribution, if needed, to achieve maximum biological plausibility, constrained by maintaining the observed trial group outcomes (the marginal distributions). Each experts estimate of the proportion of patients per 1000 experiencing benefit or harm from NXY-059 treatment compared with placebo across the entire mRS was calculated by adding all off-diagonal cells in the appropriate direction from the expert-specified joint-distribution table.
NNT and number-needed-to-harm (NNH) values were obtained from each of the 10 experts. The geometric mean and corresponding 95% CI for NNT and NNH across the 10 experts were calculated, using the sample standard deviation.
In addition to the expert judgments, the minimum and maximum possible NNTs consistent with the SAINT I results were also obtained. For both derivations, it was assumed that no patients were harmed by treatment with NXY-059, which coincided with the experts judgment. To calculate the minimum NNT, the joint distribution table was populated by following the rule that all patients who improve as a result of therapy improve by only one step on the mRS. To calculate the maximum NNT, the joint-distribution table was populated by following the rule that each patient who improves does so by the maximum amount permitted by the residual distribution resulting from the previous patient move. This rule was applied first to patients in the worst mRS outcome category (mRS 5), then next worse, and continued through ordered levels of lessened severity (supplemental Figure I, available online at http://stroke.ahajournals.org).
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NNT values were also calculated for each dichotomized breakpoint of the mRS in standard fashion by taking the inverse of the absolute risk difference. For dichotomized NNT calculations, it was assumed that no patients were harmed by treatment with NXY-059, which coincided with the experts judgment.
| Results |
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The Table shows NNTs for (1) all dichotomized breakpoints of the mRS, (2) trial specified minimum and maximum possible NNTs for benefit by 1 or more steps over the entire range of the 6-level mRS, and (3) the expert-derived biologically most plausible NNT for benefit by 1 or more steps over the entire range of the 6-level mRS. No expert judged that NXY-059 produced harm, so NNH estimates were not calculated.
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| Discussion |
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Standard approaches to assessing the clinical relevance of the treatment effect observed in the SAINT I trial include stating the mean outcome difference and providing dichotomized NNTs. Each of these approaches provides only an incomplete index of treatment impact. It is difficult for clinicians and patients to intuit the clinical worth of the mean improvement of 0.13 on the Rankin Scale that treatment with NXY-059 on average yields. Dichotomizing the Rankin Scale permits conventional derivation of NNT estimates, but these range widely depending on the breakpoint used (22.7 to infinity). Proponents of a therapy may highlight only the most favorable NNTs, as in the SAINT I primary report,9 whereas skeptics may highlight the least favorable. More importantly, neither of these NNTs reflects the treatment effect of most relevance to decision-makers, which is benefit over the full range of outcomes rather than just at a single, arbitrarily selected, health state transition.
The joint distribution outcome table completion method permits derivation of NNTs for the SAINT I trial that parallel the "shift analysis" design of the trial, capture a broad range of health state transitions of interest to the patient, and are easily understandable by clinicians, patients, family members, and payors. Because each level of the mRS is better than the next lower level in a clinically meaningful way (once levels 5 and 6 are collapsed11), improvements by 1 or more levels are widely recognized as clinically desirable.
When a treatment does not produce harmful effects, the minimum and maximum possible values for the NNT for benefit over all levels of the mRS are fully specified by the trial data. Assuming that every patient who benefits from treatment improves by only 1 mRS category allows the lowest possible NNT compatible with the data to be derived. This approach was taken by the SAINT I investigators and yields a NNT just under 8.9 However, because assuming that all patients who benefit do so by only 1 mRS level and none by 2 or more is biologically implausible for many treatments, this approach is best viewed as providing a lower bound for the NNT rather than the likely true NNT. Assuming that all patients who benefit from treatment improve by the maximum amount possible permits rule-based specification of the joint outcome table and derivation of the upper bound for the range of possible NNTs compatible with observed data. The SAINT trial results indicate that the NNT for 1 patient to benefit by 1 or more steps on the mRS must fall between 7.9 to 16.7, indicating that all the dichotomized NNTs substantially underestimate the impact of this therapy.
Within these extreme patterns of possible response (many patients benefit each by a little bit versus few patients benefit each by a lot) lies the actual pattern (typically that specific proportions of patients benefit by minimal, moderate, and maximal degrees). The expert-derived estimate is that the biologically most-plausible NNT consistent with the SAINT I data is 9.8. Accordingly, patients and clinicians can approach treatment decisions with the knowledge that SAINT I indicates that for every 10 patients treated with NXY-059, one will have their functional disability outcome improved in a clinically important manner. Although subjective, the expert approach is not "arbitrary". The experts drew on their knowledge of disease mechanism and natural history, drug mechanism, preclinical data, and clinical experience in making the multiple "shift" judgments needed to populate the joint outcome table. Most experts, for example, projected greater individual benefits for responders to the recanalization agent tissue plasminogen activator (tPA) than for responders to the neuroprotective agent NXY-059.
For the expert-derived NNT, no assumptions regarding the NNH value for NXY-059 were made. Every one of the 10 experts independently concluded from the SAINT I trial results that the NNH was 0. The experts arrived at this conclusion from review of preclinical and actual SAINT I trial data. SAINT I indicated that NXY-059 is a very safe agent at the dose studied. Mortality was unaltered by treatment with NXY-059, and there were numerically fewer patients with adverse events with NXY-059 treatment than placebo. Patients discontinuing treatment because of adverse events were also numerically fewer with NXY-059 than placebo. No adverse-event subtype occurred with statistically significant greater frequency in the NXY-059 group than in the placebo group. These and similar data led the experts to conclude that the SAINT I results indicated that NXY-059 did not actively harm patients in a way that would cause 1 or more per 1000 to have a final mRS outcome worse than what they would have experienced under placebo. Although the present state of evidence supports the view that there is "no evidence of harm" from NXY-059, further studies are required before the definitive conclusion that there is "evidence of no harm" is reliably established.
For the dichotomized, the minimum possible all-level, and the maximum possible all-level NNT derivations, it was assumed that the NNH was 0. This is the standard assumption used in conventional dichotomized NNT calculations and in the instance of the SAINT I trial, coincided with the experts explicit judgments of the actual NNH. A distinct advantage of the expert-derivation process is that it allows separate analysis of the NNH and NNT that are conflated in standard dichotomized NNT analyses.4 However, when experts judge that the NNH is actually 0, this feature does not differentiate the approaches.
This study has limitations. The mRS outcome data available from the SAINT I trial was not adjusted for baseline prognostic variables. An adjusted analysis would likely have yielded slightly lower NNT values, because the probability value for a treatment effect over the range of outcomes was lower in adjusted than unadjusted analyses.9 Because NXY-059 has only been studied in blinded studies, expert adjudicator judgments were not informed by direct experience with open-label NXY-059 therapy.
The findings of this study accord with a previous joint-distribution outcome table analysis of intravenous fibrinolytic therapy with stroke.4 Neuroprotective therapies in general are likely to yield lesser degrees of benefit than recanalization treatments. In the case of NXY-059, the shifts in mRS outcome distribution in SAINT I are substantially less than those observed in the National Institute of Neurological Disorders and Stroke (NINDS) trials I and II. Accordingly, the expert-derived NNT over the 6-level range of mRS outcomes is higher for NXY-059 than for tPA, 9.8 versus 3.3.
For the end point of global disability levels, according to the NINDS tPA trials I and II and the SAINT I trial, for every 100 patients treated with IV tPA, 32 will benefit and 3 will be harmed; for every 100 patients treated with NXY-059, 10 will benefit and none will be harmed in clinically important ways. These contrasting profiles of treatment impact should inform individual treatment decisions and stroke healthcare policies. Although the current best estimate of the NNT for NXY is about 10, this may well change in the light of the results of SAINT II and the planned combined analysis of the 2 trials which will yield a more robust and precise estimate of effect than SAINT I alone.
| Appendix |
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| Acknowledgments |
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Sources of Funding
This work was supported in part by NIH-NINDS Awards NIH-NINDS U01 NS 44364 and NIH-NINDS P50 NS044378.
Disclosures
J.L.S. was a site subinvestigator in the SAINT II trial.
accepted December 22, 2006.
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This article has been cited by other articles:
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J. L. Saver Novel End Point Analytic Techniques and Interpreting Shifts Across the Entire Range of Outcome Scales in Acute Stroke Trials Stroke, November 1, 2007; 38(11): 3055 - 3062. [Abstract] [Full Text] [PDF] |
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