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Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
HOW TO BUILD A MODEL TO PREDICT REIMBURSEMENT DECISIONS BY MAJOR HTA/CER AGENCIES Kermit Daniel, PhD – Chief Analytics Officer, Context Matters, Inc.December 2013
2Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
• Why build a model?
• Can we build a model?
• How do we build a model?
• How will we know if we built a good model?
BUILDING A PREDICTIVE MODEL OF HTA BEHAVIOR
3Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
A GOOD MODEL WILL
• Improve predictions
• Disentangle multiple influences
• Provide actionable guidance for how to increase the likelihood of a positive reimbursement decision
WHY BUILD A MODEL?
4Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
A MODEL IS
• Useful simplification
• Mathematical: Y = Xβ + ε
Y: Probability of a positive recommendation
X: Observable influences of recommendations
β: Parameters we will estimate
ε: Effect of influences we don’t observe
WHY BUILD A MODEL?
5Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
WHAT HAS TO BE TRUE?
• Agencies behave in ways that can be described by a simple model that we can estimateo Consistency - non-random, consistent behavior
• Through time• Across therapeutic areas• Across agencies
o Transparency – we can observe decision factors (or good proxies) Y = Xβ + ε
CAN WE BUILD A MODEL?
THIS EXPLAINS A LOT THIS EXPLAINS A LITTLE
6Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
AGENCIES FREQUENTLY AGREE WHEN PRESENTED WITH THE SAME DRUG/INDICATION TO REVIEW
CONSISTENCY ACROSS AGENCIES
FREQUENCY OF AGREEMENT BETWEEN AGENCY PAIRS
CADTH HAS NICE PBAC
SMC 68% 78% 85% 76%
PBAC 63% 72% 85%
NICE 61% 65%
HAS 58%
Note: Reviews of 94 drugs reviewed by at least two agencies between January 2005 – February 2013.
7Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
AGENCY PAIRSame Clinical
Outcome
Different Clinical
Assessment P value
Same Economic Outcome
Different Economic
Assessment P value
PBAC:SMC 0.05* 0.00*
Agree on decision 27 4 20 7
Disagree on decision 5 4 1 8
CADTH:PBAC 0.00* 0.14
Agree on decision 16 4 11 8
Disagree on decision 2 11 3 9
SMC:HAS 0.01*
Agree on decision 32 9
Disagree on decision 4 9
THE CLINICAL AND/OR ECONOMIC ASSESSMENT AND THE REIMBURSEMENT DECISION ARE USUALLY CONSISTENT
CONSISTENCY BETWEEN DECISION AND ASSESSMENTS
Note: Reviews of 94 drugs reviewed by at least two agencies between January 2005 – February 2013. Asterisk and shading indicates significance at 5% or better.
8Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
WE OBSERVE A LOT ABOUT REVIEWS, INCLUDING . . . TRANSPARENCY
DRUGS• Chemical type• Indications• Regulatory history• Orphan status
AGENCIES• Identity• Region• Agency-specific factors, e.g., additional benefit
SUBMISSIONS• Number• Professional, patient, other group support
CLINICAL STUDIES• Number, dates• Design, e.g., goal, comparators, size, subpopulations, length
• HTA assessment
CONCLUSIONS• Recommendation• Restrictions• Factors discussed, e.g., study limitations, PRO use
ECONOMIC MODELS• Manufacturer comparators & assumptions
• Agency model• HTA assessment
9Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
HOW DO WE DECIDE WHAT DATA TO INCLUDE?
• Predict outcomes that matter
• Capture implications of agency objectives and constraints
• Incorporate what we observe about agency behavior – but this is dangerous!
HOW DO WE BUILD A MODEL?
10Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
Positive Decision Not More Restrictive
Positive Decision More Restrictive
Oncology
46%5
4%
Non-Oncology
45%5
5%
PREDICT OUTCOMES THAT MATTERPOSITIVE DECISIONS OFTEN ADD RESTRICTIONS
Note: Based on 150 NICE reviews of 72 drugs for 34 diseases between January 2007 – August 2013.
NICE
11Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
PRIMARY OUTCOMES THAT ARE PROs ARE MORE LIKELY TO BE MENTIONED IN THE DECISION RATIONALE
CAPTURE IMPLICATIONS OF WHAT WE OBSERVE ABOUT AGENCY BEHAVIOR
Note: Based on a Chi-squared test, the difference between the observed frequencies and the expected frequencies were statistically significant at the .01 level. Data span 2005 – April 2013.
Neurology and Respiratory Indications
12Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
RANDOM VARIABLESTHE DANGER OF A “DATA MINING” APPROACH
Correlation with Y
PossibleDrivers
X25X29X40X42X51X68X72X94
Shading indicates correlation with Y is significant at 5%.
13Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
WE APPEAR TO HAVE A POWERFUL PREDICTIVE MODELTHE DANGER OF A “DATA MINING” APPROACH
• Very unlikely to have occurred by chance (p=1/10,000)
• Explains 2/3 of the variation in Y
• All estimates significant at better than 5%
• Two are significant at 1% or better
14Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
THE DANGER OF A “DATA MINING” APPROACH
10 15 20 25 30 35 40 45 50 550
10
20
30
40
50
60
Actual vs. Predicted
Actual
Predicted
45° (predicted = actual)
R2 = .65
WE APPEAR TO HAVE A POWERFUL PREDICTIVE MODEL
Source: Y and all Xs are independent random variables.
15Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
THE MODEL IS USELESS: IT HAS NO PREDICTIVE VALUETHE DANGER OF A “DATA MINING” APPROACH
10 15 20 25 30 35 40 45 50 550
10
20
30
40
50
60
Out-of-Sample Prediction
Actual
Predicted
Best Prediction
Source: Y and all Xs are independent random variables.
16Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
HOW DO WE JUDGE OUR MODEL?
• Predicts well
• Predicts better than alternatives
HOW WILL WE KNOW IF WE BUILT A GOOD MODEL?
17Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
POSITIVE DECISIONS BY AGENCY
Note: Based on 213 reviews of about 40 therapeutic areas between 2005 – May 2013 reviewed by NICE and at least one other major agency: SMC, PBAC, HAS, and CADTH.
POSITIVE DECISION RATES (2007-2013)
Positive Decision Rate
HAS 95%
NICE 72%
CADTH 67%
SMC 67%
PBAC 62%
18Copyright © 2013 Context Matters, Inc. ALL RIGHTS RESERVED
HOW DO WE JUDGE OUR MODEL?
• Predicts well
• Predicts better than alternatives
• Provides actionable guidance for how to increase the likelihood of a positive reimbursement decision
HOW WILL WE KNOW IF WE BUILT A GOOD MODEL?