An incentive compatible conjoint ranking
mechanism.
by Lusk, Jayson L.^Fields, Deacue^Prevatt, Walt
Participants were requested to rank the relative desirability of
several meat products that differed by the attributes of: (a) whether
the animal was pasture-grazed, (b) whether the animal was administered
growth hormones and antibiotics, (c) whether the meat was traceable back
to the farm, (d) package size, and (e) price. These attributes are of
interest for a number of reasons. On the policy front, there is ongoing
action related to traceability and there have been recent legislative
action to ban the use of some antibiotics in livestock production.
Valuation estimates are needed to determine the welfare effects of such
policies. On the marketing front, firms are increasingly interested in
selling "natural" products without hormones and there is
increasing interest in the value of "grass fed" beef. Although
several previous studies have estimated consumers' values for these
characteristics, e.g., Alfnes and Rickertsen (2003), Dickinson and
Bailey (2002), Lusk, Fox, and Roosen (2003), Lusk, Feldkamp, and
Schroeder (2004), Lusk, Norwood, and Pruitt (2006), McCluskey et al.
(2005), Umberger et al. (2002), to our knowledge this is the first study
to investigate preferences for pasture-raised beef relative to
nonpasture-raised beef (based on perceptions and not on taste) and to
study the effect of information about the healthfulness of such
products. This latter issue has become increasingly important as
evidenced by the USDA's recent solicitation of comments on a
proposed standard for grass-fed and pasture-fed beef claims.
The IC conjoint task involves the exchange of real money and real
food. There is some debate in the literature about the proper way to
compensate people for participating in experiments so that elicited
valuations are not unduly influenced by the compensation approach. A
common approach is to give people money for participating and then
request that participants purchase a product with the endowed money.
However, several studies have shown that people's
willingness-to-pay for a good in an experiment is significantly
influenced by the amount of money given to them (e.g., Loureiro,
Umberger, and Hine 2003; Rutstrom 1998). This led Loureiro, Umberger,
and Hine (2003) to remark (p. 271), "[n]ew ways of compensating
participants in experimental auctions should be investigated." A
solution to this problem might be to provide participants no
compensation at all. However, such an approach is likely to drastically
reduce participation rates, which would increase sample selection bias
and would significantly underestimate people's values for goods as
there are often many cash constrained people in a store setting, e.g.,
many consumers come to a store planning to pay by credit card or check
and do not have any cash to participate in a value elicitation
experiment even though they might have a positive willingness-to-pay for
the good in question.
Accordingly, we utilized a slightly different approach to
compensate participants and to estimate the marginal utility of income.
In particular, rather than asking people to pay a price for a particular
meat option, people were offered various cash amounts with each option.
In regard to this procedural choice, it is important to note three
important facts. First, one might argue that loss-aversion would create
a difference between the approach used here and one in which individuals
ranked products that they wished to purchase. However, Novemsky and
Kahneman (2005) argue that in money transactions, of the sort involved
in this exchange, there should be no loss aversion. Second, empirical
findings suggest this sort of compensation mechanism yields accurate
predictions of people's shopping behavior. For example, Lusk,
Pruitt, and Norwood (2006) found responses from an in-store experiment
where people chose between various products coupled with cash offers (as
in this study) accurately predicted actual retail sales in the grocery
store several weeks later. Further, Ding (2007) utilized a related
compensation mechanism where auction winners were paid an amount equal
to the difference in price and a certain cash amount ($250 in one
experiment and $320 in another). Ding (2007) found significantly better
out-of-sample predictive performance with this compensation mechanism as
compared to traditional hypothetical approaches where no compensation is
given at all. Finally, the purpose of this study is to compare
traditional, hypothetical conjoint response to a new IC conjoint
mechanism. In both treatments (hypothetical and nonhypothetical) people
ranked the products and cash offers in terms of which they would like to
receive. Thus our approach permits an unconfounded test of the effect of
moving from a traditional, hypothetical conjoint method to the new IC
conjoint mechanism.
Table 1 lists the attributes and attribute levels investigated in
this study. An orthogonal fractional factorial design consisting of 16
product profiles was created such that all main and two-way interaction
effects were independently identifiable. These 16 profiles were blocked
into sets of eight. Each subject was asked to rank the desirability of
the eight profiles in addition to a "no meat" option that
consisted simply of an offer of an amount of cash that was higher than
any of the cash offers that included a meat offering. This latter option
was included to account for people that participated in the study but
did not want to take home any meat. If a "cash only" offer
were not presented, it is likely that the price/cash effect would be
overstated in the sense that nonmeat preferring individuals would simply
choose meat profiles with higher cash offers. Our econometric model,
which is explained momentarily, explicitly controls for the "no
meat" option, providing an estimate of the disutility of "no
meat" holding constant price/cash. (4) Individuals were given nine
cards (eight containing a meat product description and one "no
meat" option) and were asked to rank the cards according to their
desirability.
Individuals were randomly assigned to one of the eight treatments
(there are three treatment variables each varied at two levels each,
[2.sup.3] = 8). Treatments varied according to whether: (1) the conjoint
ranking was IC or whether the ranking was hypothetical, (2) the conjoint
task related to beef steaks (ribeyes) or ground beef, and (3) whether
information was provided about the health benefits of pasture grazed
beef. The purpose for including two other treatment variables in
addition to whether the conjoint ranking was real or hypothetical was to
determine whether the IC property has an effect, not just on product
attributes, but on the effect of other treatment variables. The study
took place over a one-week time period and the treatment was alternated
every hour. The fewest number of participants in any one treatment was
59 (the hypothetical, steak, no-info treatment) and the most
participants in a treatment was 75 (the hypothetical, ground beef,
no-info treatment).
The first treatment variable is the nature of the decision task:
either hypothetical or nonhypothetical. Traditional conjoint analysis
involves people hypothetically ranking a series of product descriptions
according to their relative desirability. This is exactly what was done
in our treatments where the conjoint task was hypothetical.
Specifically, individuals in the hypothetical treatment were given the
following instructions:
For participating in this survey, we would like you to consider the
desirability of several hypothetical gifts. Although you will not
actually be given any of these gifts, we ask that you please think
carefully about your answers.
You will be viewing a poster with 9 gift coupons, each of which
describes a hypothetical gift. Gifts vary in the type and amount of
meat that you can receive. Each gift option also indicates whether
the meat comes from cattle that were raised in a pasture, were
produced without antibiotics or added growth hormones, and/or
whether the meat is traceable back to the farm. All gift options
also vary by a cash amount that would be given to you in addition
to the meat.
Your task is to sort the 9 gift coupons you have been shown in
terms of their desirability to you.
Please write the letter of the gift option you find most desirable
in the space below next to the number 1, the letter of the gift
option you find second most desirable next to the number 2, and so
on. The option you find least desirable should be put next to the
ranking of 9.
Although it is typically assumed that individuals "do their
best" and rank products according to their preferences, there is no
monetary cost to individuals deviating from their true preferences or
monetary reward for putting cognitive effort into the ranking task.
In the IC, nonhypothetical treatments, individuals were also given
nine cards to rank, but in this case, they were asked to place the cards
on a wheel that was divided into nine slices of varying size.
Participants were asked to place the option they found most desirable in
the largest slice on the wheel marked with a number one, the second most
desirable option in the second largest slot marked two, and so on. Once
all nine cards were allocated, the wheel was spun around a fixed
pointer. Once the wheel stopped spinning, the pointer indicated the
option that was actually received. Thus, in the nonhypothetical
treatments, individuals were actually given the meat and/or the cash
associated with the option that was selected by the wheel. More
specifically, participants in this treatment were instructed as follows:
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