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2
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- Clinical testing of a new treatment or preventive agent is analogous to
using laboratory or clinical tests to diagnose a disease
- Goal is to find a procedure that identifies truly beneficial
interventions
- Not surprisingly, the issues that arise when screening for disease
apply to clinical trials
- Predictive value of a positive test is best when prevalence is high
- Use screening trials to increase prevalence of beneficial treatments
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3
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- Statistical hypothesis testing as
a diagnostic test
- P value: Probability of observing positive (statistically significant)
test in absence of true treatment effect
- Level of significance is 1 - specificity
- Common choice of a=.05 means
specificity is 95%
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4
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- Statistical hypothesis testing as
a diagnostic test (cont.)
- Statistical power: Probability of observing positive test in presence
of true treatment effect
- Power is sensitivity
- Common choice of 80% sensitivity (not usually recommended by me)
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5
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- Statistical hypothesis testing as
a diagnostic test (cont.)
- Prevalence is the percentage of effective treatments among all tested
treatments
- Positive predictive value is the probability that a statistically
significant trial indicates a truly useful treatment
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6
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- In cancer less than 5% of treatments studied in clinical trials are
adopted
- NCI drug development program 1970 - 1985
- 350,000 unique chemical structures studied
- 83 pass preclinical and phase I testing
- 24 pass phase II tests for biological activity
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7
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- Two possible approaches to studying new treatments
- Study every treatment in a large definitive experiment
- Perform small screening trials, with confirmatory trials of promising
treatments passing early tests
- We can explore our ability to identify beneficial treatments with
limited resources
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- Scenario 1: Only large trials
- 10% of drugs being investigated truly work
- Level of significance .05
- 1000 subjects provide 97.5% power to detect clinically important
treatment effect
- 1,000,000 subjects available for clinical trials
- Study 1,000 new treatments
- 100 effective treatments, 900 ineffective treatments
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- Scenario 1: Only large trials (cont.)
- Statistically significant results: 143 significant trials
- 97.5% of effective treatments: 98 studies significant
- 5% of ineffective treatments: 45 studies significant
- Predictive value of a positive: 68%
- Only 68% of the 143 treatments identified truly work
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- Scenario 2: Use of pilot studies
- 10% of drugs being investigated truly work
- Level of significance .05
- 500 subjects provide 80% power to detect clinically important treatment
effect
- 50 subjects provide 15% power to detect clinically important treatment
effect
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- Scenario 2: Use of pilot studies (cont.)
- 1,000,000 subjects available for clinical trials
- 625,000 subjects in pilot studies of 12,500 new treatments
- 374,500 subjects in confirmatory trials of 749 new treatments
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- Scenario 2: Use of pilot studies (cont.)
- Pilot Studies
- Investigate 12,500 new treatments in pilot studies (625,000 subjects)
- 1,250 effective treatments, 11,250 ineffective treatments
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- Scenario 2: Use of pilot studies (cont.)
- Statistically significant results: 749 significant pilot studies
- 15% of effective treatments: 187 studies significant
- 5% of ineffective treatments: 562 studies significant
- Predictive value of a positive: 25%
- 25% of treatments in significant pilot studies truly work
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- Scenario 2: Use of pilot studies (cont.)}
- Confirmatory Trials
- Investigate 749 new treatments (374,500 subjects)
- 187 effective treatments, 562 ineffective treatments
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- Scenario 2: Use of pilot studies (cont.)}
- Statistically significant results: 178 significant pilot studies
- 80% of effective treatments: 150 studies significant
- 5% of ineffective treatments: 28 studies significant
- Predictive value of a positive: 84%
- 84% of the 178 identified treatments truly work
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- Comparison of scenarios
- Scenario 1: Only large trials
- Use 1,000,000 subjects
- Screen 1,000 new treatments
- Adopt 98 effective treatments
- Adopt 45 ineffective treatments
- Scenario 2: Use of pilot studies
- Use 999,500 subjects
- Screen 12,500 new treatments
- Adopt 150 effective treatments
- Adopt 28 ineffective treatments
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- Bottom line
- Pilot studies increase the predictive value of a positive study while
using the same number of subjects. A greater number of effective
treatments are identified due in part to the greater
- number of treatments screened.
- Phases of clinical trials
- (Different choices for statistical power in screening and confirmatory
trials can be used to optimize strategy for a particular setting)
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