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Understanding Clinical Trial Design - Research Advocacy Network

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18<br />

Statistical Inference<br />

Example<br />

UNDERSTANDING CLINICAL TRIAL DESIGN: A TUTORIAL FOR RESEARCH ADVOCATES<br />

Figure 8. Statistical Inference in Hypothesis Testing<br />

Calculate Test<br />

Statistic<br />

(from trial data)<br />

Conclusion:<br />

Compare<br />

(test statistic to what<br />

would be expected if<br />

the null hypothesis<br />

were true)<br />

NO<br />

Decide<br />

(Are data likely, given<br />

the null hypothesis?)<br />

YES<br />

Reject Null Hypothesis<br />

(Experimental Control)<br />

Fail to Reject Null<br />

Hypothesis<br />

(Experimental = Control)<br />

When clinical trials data are analyzed, the outcomes of each arm is described using<br />

descriptive statistics such as mean, median and standard deviation. In addition, a<br />

test statistic (e.g., t-test or F-test) is computed and compared to the value this statistic<br />

would take, if the null hypothesis were true. The final step in hypothesis testing<br />

is deciding whether or not to reject the null hypothesis. When the computed<br />

test-statistic is different than what would have been expected if the null hypothesis<br />

were true, it is rejected; otherwise it is not.<br />

Consider the cancer of the big toe example outlined on page 12. The following<br />

table provides descriptive statistics that might have resulted from this<br />

trial.<br />

Experimental Control<br />

(Caffeine) Arm (Water) Arm<br />

Sample Size 30 30<br />

Mean Overall Survival 8.6 7.8<br />

Standard Deviation .6 .5<br />

t = 5.61, p < .01<br />

In addition to describing the results, a t-test statistic might be computed<br />

from the trial data. In this example, the t value is 5.61. This t-test would be<br />

compared to t-tests that result from the null hypothesis in trials with 30<br />

patients in each of two arms. These values can be found in statistical tables.<br />

In particular, the tables indicate that a t-test > 2.65 would have occurred by<br />

chance < 1% of the time, if the null hypothesis were true. Since the t-test calculated<br />

from the trial data (5.61) is larger, the null hypothesis would be<br />

rejected, and researchers claim that survival is greater for patients who are<br />

treated with caffeine than with water.

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