Building GIGO-Free Promotion
Response
2002 Pharmaceutical Management
Science Association (PMSA)
April 28 – May 1, 2002 - Le
Meridien Hotel, New Orleans, LA - committee@pmsa.net
1. Overview
Establishing how your drugs respond to promotion is not necessarily confined to the realm of guesswork. While Delphi sessions can help guide the construction of response curves, they are not the only option. This article describes how to build response curves by aggregating responses of individual physicians. The ingredients to build the promotional response of individual physicians are readily available: IMS Xponent or NDC Source Prescriber on the one hand and the company call file on the other. The build-by-aggregation approach described here has three key advantages. First, the resulting promotion response is far more accurate than the best educated guess concocted by a group of experts. For one thing, it is anchored in reality. Second, response curves can easily be derived for specific territories, districts, areas, managed care organizations, or other physician segments. This is next to impossible if you only have a nationwide response curve to start with. Third, adaptive targeting is a reality. This means you can adjust in real time the number of details that go towards each physician individually, based on the promotion response feedback you get from the physicians.
Why is it then that build-by-aggregation is not the
industry’s gold standard? It will be. Up to recently, two factors have been
holding things back. First, insufficient computing power to handle 800K+
physicians at one go. This is no longer true thanks to increased desktop
computing power (Moore’s law) and the ongoing price war in the PC industry.
Second, technical difficulties associated with build-by-aggregation. For starters, how do we add two response
curves of different lengths, say one that spans two details and another that
spans twelve? The obvious [f +g](x) = f (x) + g(x) does not reflect reality since
it amounts to assuming the physician that receives the smaller number of
details does not respond past a few details. Here is the larger issue: In what
order should we add the individual response curves? If the order were not
important, that would mean which physician gets detailed first is immaterial
and that would fly in the face of targeting. The obvious schemes for adding
curves, as we will see, do not work.
Lastly, it is imperative that we be able to answer questions such as:
What would have happened had we delivered an additional 250K details last year?
Somehow, the response curve should overshoot the actual number of details
delivered. This article addresses these technical issues head-on.
2. Response Curves
Promotion response curves describe how sales
increase with promotional effort. Promotion is usually taken to mean detailing,
but can also refer to sampling, meetings and events, journal ads, DTC, etc.
Promotion response models play a pivotal role in sales and marketing since they
allow us to establish the ideal promotional effort to maximize sales, long-term
gross profit, or more importantly, any combination of the two. Promotional
response models help us play out implications of what-if scenarios such as
increases in standard costs, reductions in promotional budget, changes in promotional
budget mix, etc. Some people even call promotion response the holy grail of the
pharmaceutical industry!
How do we ensure the promotion response is an
accurate depiction of reality? Making the right decision based on the wrong
model may cost tens of million of dollars. Indeed, GIGO (Garbage In – Garbage
Out) may befall the promotion response model. Delphi sessions are a great
forecasting technique (invented by the Rand Corporation during WWII to harness
the wisdom of international experts) but are oftentimes misused and abused,
probably for want of better alternatives. To that end, we developed a novel
response building technique that takes the guesswork away and builds the
aggregate response by combining promotion responses of actual physicians.
3. Build-By-Aggregation Approach: Issues and Solutions
Let’s focus on the top two technical issues
associated with building promotion responses by aggregation. First, the
promotion response of some physicians (actually a lot) may be too short, i.e.,
the physician received only one or two details. If we simply add a short
promotion response to a long one, we would be making the tacit assumption that
the short response physician no longer responds past a few details, which is
clearly incorrect. Second, in what order should we add the promotion responses
of the individual physicians when aggregating the responses? The catch here is
different ordering schemes lead to different aggregate promotion responses.
How do we address insufficient response information
associated with under-detailed physicians? By leveraging the fact that we have
detailed more profusely other physicians with similar characteristics. The key
here is to assume the response of the under-detailed physician is a blending of
the observed responses of comparable physicians: other physicians with similar
specialties, managed care plan affiliations, or geographic locations. Indeed,
we combine observed responses that we “graft“ to the short response. That graft
is represented not as a single segment of a response curve but as a cone, to
capture uncertainty. The lower portion of the cone represents the low response
scenario, the higher portion the high response scenario, and the distance
between the two portions the magnitude of the uncertainty. This surgical
grafting actually does two things. For one, it allows us to be more assertive
regarding the response of individual physicians we barely detailed. For
another, it allows us to construct an aggregate response that goes beyond the
number of details actually delivered. This allows us to address questions such
as “What would sales have been last year had we delivered an additional 250K
details?”.
The second issue is how to combine the individual
responses to generate the aggregate response. Consider the
most-responsive-first approach. This scheme sorts the physicians by decreasing
responsiveness and connects their
response curves starting with the most responsive one first. Because the
physicians are sorted, the first half of the aggregate response will contain
only half of the physicians detailed. This means reps will be granted the
luxury of not detailing less responsive physicians even when they have free
time on their hands. Rep compensation being sunk cost, this scheme is clearly
unrealistic. Consider the round-robin approach instead. Under this scheme, it
is only when all of the physicians have received their first detail that a
second detail may be delivered, and so on. The first half of the aggregate
response will contain all the physicians. Unlike the most-responsive-first
approach, reach is preserved. Frequency, however, is butchered. The problem
with the round-robin scheme is it treats every physician equally. It does not
discriminate between very responsive and less responsive physicians, and
discrimination is precisely what targeting is about. Those two schemes just
made two things very clear. First, the
ordering scheme we are after must preserve both reach and frequency. Second,
each response curve corresponds to an implicit targeting strategy. The ordering
scheme we recommend is random summation. Like the round robin, random summation
adds up segments of each individual response curve. Unlike the round robin, it
picks physicians in a random manner. As a result, Dr. John Smith may get his third
detail before Dr. Jane Doe gets her first, although large differences in
details are most unlikely. The probability with which a physician is chosen is
not inversely proportional to the number of physicians, but to the number of
details yet to be delivered. This increases the odds of detailing a heavily
detailed physician early on in the targeting process. As a result, both reach
and frequency are preserved. In a variation of the random summation, effective
details are distinguished from ineffective details (those delivered past
saturation) and the probability is based on effective details only. Ineffective
details are thereby deferred to the very end of the targeting process.
4. Implementation
To implement the build-by-aggregation approach
above, we developed a physician promotion response database in Access and
promotion response matching algorithms in VB. These tools allow us to retrieve
all physicians whose promotion response starts with, ends with or contains a
specific user-defined promotion response pattern. Those promotion responses are
then combined and grafted to promotion responses of physicians that have not
been adequately detailed.

Figure 1 Retrieving
physicians based on a user-defined promotion response pattern.