Experimental measurement of preferences in health and healthcare using best-worst scaling: an overview

Best-worst scaling (BWS), also known as maximum-difference scaling, is a multiattribute approach to measuring preferences. BWS aims at the analysis of preferences regarding a set of attributes, their levels or alternatives. It is a stated-preference method based on the assumption that respondents are capable of making judgments regarding the best and the worst (or the most and least important, respectively) out of three or more elements of a choice-set. As is true of discrete choice experiments (DCE) generally, BWS avoids the known weaknesses of rating and ranking scales while holding the promise of generating additional information by making respondents choose twice, namely the best as well as the worst criteria. A systematic literature review found 53 BWS applications in health and healthcare. This article expounds possibilities of application, the underlying theoretical concepts and the implementation of BWS in its three variants: ‘object case’, ‘profile case’, ‘multiprofile case’. This paper contains a survey of BWS methods and revolves around study design, experimental design, and data analysis. Moreover the article discusses the strengths and weaknesses of the three types of BWS distinguished and offered an outlook. A companion paper focuses on special issues of theory and statistical inference confronting BWS in preference measurement.

The primary responsibility of healthcare decision makers is to determine the optimal allocation of scarce money, time, and technological resources, given available information on outcomes. Both regulatory and clinical healthcare decisions indirectly or directly affect the welfare of healthcare recipients. However, decision makers often lack information about how the criteria they use should be weighted from the point of view of taxpayers, insurers, and patients. For example, little is known about patients' willingness to accept trade-offs among lifeyears gained, restrictions on activities of daily living, and the risk of side effects. To the extent that healthcare decision makers lack information on the preferences of those affected, resource-allocation decisions will fail to achieve optimal outcomes.
When searching for optimal solutions, decision makers therefore inevitably must evaluate trade-offs, which call for multiattribute valuation methods. In this task, discrete choice experiment (DCE) methods have proven to be particularly useful [1][2][3][4][5]. More recently, some researchers have proposed using best-worst scaling (BWS) methods. BWS is a variant of DCEs that seeks to obtain extra information by asking survey respondents to simultaneously identify the best and worst items in each set of scenarios (attributes, levels or alternatives). This paper is structured as follows. In Literature review the underlying systematic review of published BWS studies in health and healthcare is described. BWS -survey of methods contains a survey of BWS methods, while Conducting a BWS experiment revolves around study design, experimental design, and data analysis. Overview of recent BWS applications discusses the strengths and weaknesses of the three types of BWS distinguished. An overview of applications of BWS is presented in Discussion: strengths and weaknesses in application. Conclusions and an outlook are offered in Conclusions and outlook. A companion paper (Mühlbacher et al. [6]) focuses on special issues of theory and statistical inference confronting BWS in preference measurement.

Literature review
A systematic review was conducted, limited to English and German language publications in the databases 'pubmed' and 'springerlink'. Overall 53 BWS applications were published in the last 10 years until September 2015. The following search terms were used for the review: 'Best-Worst Scaling' , 'Best-Worst Scaling AND Health*' , 'Best Worst Scaling' , 'Best Worst Scaling AND Health*' , 'MaxDiff Scaling' , 'Maximum Difference Scaling'. Data on authors, title, date, type of elicitation format, study objective, and sample size were extracted.

Microeconomic foundations
BWS as a variant of DCE starts from the basic assumption of Thurstone that individuals maximize utility, with some determinants of utility unobservable for the experimenters [7]. Hence, utility can be decomposed into a deterministic systematic and an unobservable stochastic component [8]. Furthermore, Thurstone's law of comparative judgment calls for pairwise comparisons. Marschak and Luce extended, formalized, and axiomatized this law [9,10]. In addition to the probit model (attributed to Thurstone), McFadden used random utility theory to derive the multinominal logit (MNL) model for estimating choice probabilities; he received the Nobel Prize in Economics for this contribution [11,12].

Preference measurement
Choice-based preference measurement as described above competes with two other approaches: rating (which makes survey respondents assign numerical values to alternatives), and ranking (which makes them construct a preference ordering of alternatives). Numerous studies identify preferences from respondents' ratings, rankings, or choices. While rating techniques are critically discussed, all three approaches require basic assumptions of logic and consistency. They differ in terms of additional assumptions about preference measurability, levels of cognitive effort, and vulnerability to biases. In particular, a rating assumes utility to be a cardinally measured quantity (which it is not). As shown in BWS -survey of methods of the companion paper, ratings therefore cannot predict choice [6].
Best-worst scaling BWS was developed in the late 1980s as an alternative to existing approaches. Flynn distinguishes three cases of BWS which have in common that respondents, rather than just identifying the best alternative, simultaneously select the best and worst alternative from a set of three or more attributes, attribute levels or alternatives [13][14][15]. One of the three variants is very similar to DCEs, making it well anchored in economic theory.

Variants of best-worst scaling Object case BWS
The first variant of BWS is the attribute or object case. It is the original form of BWS as proposed by Finn and Louviere [16]. The object case is designed to determine the relative importance of attributes [14]. Accordingly, attributes have no (or only one) level, and choice scenarios differ merely in the particular subset of attributes shown. Figure 1 illustrates the case of three relevant attributes. Respondents are asked to identify the best and worst or the most and least preferred attribute from the set of scenarios [13]. The number of scenarios required to identify a complete ranking depends on the number of attributes. The BWS object case originally was conceived as a replacement for traditional methods of measurement such as ratings and Likert scales [14].

Profile case BWS
The second BWS variant is the profile case [17]. In contrast to the object case, the level of each attribute is shown. Accordingly, the same attributes appear in each scenario, while their levels change. Respondents identify both the best (most preferred) and worst (least preferred) attribute level in each scenario presented [15]. In Fig. 2 a possible healthcare intervention is characterized Fig. 1 Example of an object case BWS choice scenario by five attributes: length of life, activities of daily living, side effects, cost, and duration of treatment. Profile case BWS has advantages relative to both the object case and DCEs. Contrary to object case BWS, respondents explicitly value attribute levels, making choices much more transparent and informative. Because they have to evaluate only one profile scenario at a time, constructing experimental designs is easier compared to DCEs. DCEs have to display choice sets, containing two or more choice alternatives. Therefore profiles have to be combined correctly with one or more additional profiles. Some authors argue that profile case BWS also reduces the cognitive burden of the elicitation task [17]. Accordingly, they claim that these two advantages allow an increase in the number of attributes to be valued.

Multiprofile case BWS
The third BWS variant is the multiprofile case [14,18]. Contrary to the two previous cases, respondents repeatedly choose between alternatives that include all the attributes, with their levels varying in a sequence of choice sets. Thus, the multiprofile case BWS amounts to a best-worst discrete choice experiment (BWDCE). A BWDCE extracts more information from a choice scenario than a conventional DCE because it asks not only for the best (most preferred) but also the worst (least preferred) alternative. A complete ranking of more than three alternatives requires the exclusion of alternatives already identified as best and worst and asking the same question again with reference to the reduced choice set [13].
An example choice scenario is shown in Fig. 3, taking again a healthcare intervention as the example. Respondents now need to evaluate five attribute levels to identify alternatives as best and worst, respectively. The fact that the respondent shown considers alternative 1 as the worst indicates that he or she does not value length of life quite so highly but dislikes the personal cost of treatment. Conversely, by identifying alternative 3 as best, the same respondent indicates that he or she would be interested in improving activities of daily living or reducing cost, while length of life is relatively less important (otherwise, policy 3 would have been more preferred).

Study design
The first step in conducting a BWS experiment is to state the research question and to define the decision problem, with the objective of identifying the set of relevant attributes. This calls for a comprehensive literature search in addition to expert surveys, personal interviews, and pretests (which usually involve interviews or focus groups) [19]. Several requirements need to be met. First, the attributes and attribute levels selected should be relevant to respondents while still being under control by the relevant decision makers. Second, they should be in a substitutive relationship (otherwise no trade-offs are required), not lexicographic (otherwise no trade-offs are accepted), lack dominance (for the same reason), and be clearly defined [20]. Finally, they need to be sufficiently realistic to ensure that respondents take the experiment seriously.

Attributes and levels
Several methods are available for choosing attributes that can be used in combination. Direct approaches include the elicitation technique, the repertory grid method, as well as directly asking for attributes relative subjective importance. All essential attributes should appear in the choice scenarios to avoid specification error in estimating the utility function.
With the relevant attributes identified, their levels need to be defined (at least for BWS profile and multiprofile cases). Their ranges should represent the perceived differences in respondents' utility associated with the most and least preferred level. However, the reverse is not true: A respondent's maximum difference in utility may fall short of or exceed the spread between levels as imposed by the experiment. Also, requiring attribute levels to be realistic appears intuitive. Yet, the experiment may call for a spreading of levels, especially in an attribute whose (marginal) utility is to be estimated with high precision (this is the price attribute if willingnessto-pay values are to be calculated).

Alternatives
Defining full attribute-level descriptions is required only for multiprofile case BWS, where respondents are asked to evaluate alternatives. If one were to present them with all possible combinations, they would have to deal with hundreds, even thousands of combinations. For instance, four attributes with five levels each already result in as many as 5 4 = 625 combinationstoo many to handle for any respondent. However, this number can be reduced using a method analogous to principal-component analysis, at the price of a certain loss of information (for more details, see [2,4]). In healthcare, the alternatives could represent different health technologies, treatments, or ways of providing care, characterized by varying attribute levels (see Fig. 2).

Experimental design
Survey design involves constructing scenarios comprising combinations of attributes or attribute levels. As in the case of a DCE, there are several options available for BWS. The full-factorial design only can be used for a maximum of three attributes with three levels each, the number of scenarios attaining already 3 3 = 27. In all other cases, a fractional factorial design is advisable. Here, the selection of scenarios is structured to generate the maximum amount of information. Thus scenario selection depends critically on relationships among attributes [21]. Several options are described in more detail below, with no one dominating the other two in terms of all criteria [22].

Manual design
From a complete list of possible combinations, suitable designs can be created manually by judiciously balancing several criteria, viz. the number of scenarios involving high and low (assumed) utility values, low correlation of attributes (orthogonality), balanced representation, and minimum overlap of levels [23]. If the reduced number of choice scenarios to be presented to respondents turns out to be still excessive, design blocks have to be created. For example, one-half of the respondents are assigned to one block of scenarios while the other half is assigned to another block. Assignment of respondents to blocks should be random to avoid selection bias.
A frequently used alternative is the Balanced Incomplete Block Design (BIBD) [24]. Because a BIBD is subject to the symmetry requirement, the number of possible BIBDs is limited. For guidance concerning creation, analysis, and operationalization of manual designs, the main reference is Cochran and Cox, who created a multitude of ready-to-use BIBDs [25]. Ways to increase design efficiency are described in Chrzan and Orme and Louviere et al. [22,26]. More recently, optimal and nearoptimal designs complementing the manual approach have been developed [27].

Optimized design
Rather than manually developing a design, researchers can use automated (often computerized) procedures. For example, the software package SAS offers several search algorithms to determine the most efficient design of a given experiment [23]. Simple orthogonal main-effect design plans (OMEPs) are available as well (e.g. in SPSS). Easy to use, they have been popular in BWS.

Data analysis
The data collected in the course of a BWS experiment can be analysed in several ways. The four most important are described in this section.

Count analysis
Orthogonal BWS designs can be analysed using count analysis, which is limited to examining choice frequencies. Count analysis may therefore be applied across all respondents as well as at the individual-respondent level [14]. A best-worst score can be constructed based on the difference Total(Best) -Total(Worst) [28].
Some authors propose taking the square root of the ratio Total(Best)/Total(Worst), either at the level of a single attribute or at the level of complete decision scenarios [15].
The square root of the ratio between best and worst counts decreases as a function of r, the number of alternatives presented in a nonlinear, degressive way. A degree of standardization can be achieved by dividing best-worst scores by the product of the frequency of occurrence (attributes, levels, alternatives) and sample size. For more details, see in particular Louviere as well as Crouch and Louviere [29]. Count scores provide information about the importance and hierarchy of attributes but fail to ensure comparability of results across BWS studies. Specifically, no conclusions regarding the relative economic importance of attributes measured by marginal rates of substitution are possible. Recall that the subjective distance between best and worst may turn out differently because distances between best and worst are not scale-invariant (see Section 5.3 of the companion paper for details). As a consequence, questions such as whether there are differences in tradeoffs between side effects and prolonging life between young and old people cannot be answered.
Multinomial logit, mixed logit and rank-ordered logistic regression models One use of BWS is to determine the likelihood that an attribute, an attribute level, or an alternative is identified as most important or least important. This calls for dual coding, namely best = 1 if the attribute is chosen as the most important in the combination, and best = 0 otherwise, as well as worst = 1 if it is cited as least important, and worst = 0 otherwise. As a result, there are two variables to be analysed, both of which can only take on the values zero and one. Taking into account that 0 and 1 bound a probability, the logit procedure yields propensity scores reflecting the probability of an attribute being present in a given combination.
A linear regression also produces estimates of relative importance, which however may fall outside the allowable range bounded by zero and one and hence cannot be interpreted as choice probabilities. Some authors neglect this, applying weighted least squares. The weighting is necessary because the (0,1) property of the dependent variable causes the error term ε to have non-constant variance, violating a requirement of ordinary least squares [30]. While logit models are rooted in random utility theory and hence realworld choice behaviour, linear probability models do not bear a direct relationship with choice and decision making. Note that logit coefficients do not reflect differences in probability but need to be transformed for this purpose. Also, since a regression determines the conditional expected value of the dependent variable, it measures average preferences rather than those of an individual person [31]. By introducing interaction terms (see above), socioeconomic characteristics can be taken into account, allowing for group-specific estimates. These are usually sufficient for decision-making in health policy but may be a shortcoming in a marketing context. Details can be found in Flynn et al., Flynn et al. as well as Wirth [30][31][32].
A popular MNL-based model for best-worst choice is the maxdiff model. The maxdiff procedure calls for identifying the maximum difference in utility. As shown by Flynn and Marley, the generalization of the MNL model assumes that the utility associated with the choice of the best option is the negative of the utility of associated with the choice of the worst option [33]. Evidently, the best-worst distance in the maxdiff formulation is expressed in terms of cardinal utility, a problematic property in view of microeconomic theory [17,34]. Additional weaknesses include failure to determine the relative importance of attributes [for more detail, see the companion paper by Mühlbacher et al.].
The mixed logit (MXL) model overcomes some of the limitations of the MNL model. MXL estimation accommodates unobserved taste heterogeneity by specifying preference parameters as random variables with means and standard deviations rather than fixed parameters. MXL involves three main specification issues: (1) determination of the parameters that are to be modelled as random variables; (2) choice of so-called mixing distributions for the random coefficients; and (3) economic interpretation of estimated random coefficients [35][36][37]. In return, MXL can represent general substitution patterns because it is not subject to the restrictive independence of irrelevant alternatives (IIA) property of MNL estimation [38].
Alternatively, rank-ordered logistic regression models (ROLM) or "exploded logit" models can be applied to Best-Worst Scaling. ROLM allow modeling the partial rankings obtained from the responses to the Best-Worst Scaling questions. This robust analysis is a generalization of the conditional logit model for ranked outcomes but does not violate the assumption of the independence of irrelevant alternatives (IIA) [39].

Latent class analysis
Latent class analysis, a form of cluster analysis, is particularly useful in the event that attempts at forming homogeneous groups using observable socio-economic characteristics fail [40]. For example, point estimates of marginal WTP may be scattered within a certain age group, suggesting hidden heterogeneity caused by differences in choice behavior not linked to age. MNL estimation thus needs to be generalized in ways as to be able to infer two or more latent groups of unknown size from observations. Accordingly, along with the likelihood of a respondent belonging to a certain group, latent class analysis estimates group-specific utility functions without splitting the sample. Individual utilities associated with an alternative then can be calculated as the group-specific estimate weighted by the probability of the respondent belonging to this group [41]. Since this probability depends on the assumed number of latent groups and therefore has to be determined again and again in the course of the estimation, a large number of observations are necessary to obtain statistically significant results. In hierarchical Bayes estimation, to be described below, smaller samples are sufficient, but at the cost of more restrictive assumptions [28].

Hierarchical bayes estimation
Hierarchical Bayes (HB) estimation increasingly is being applied to the analysis of DCEs [38]. It fits a priori distributions of the parameters to be estimated to the sample data, using individual-specific data to derive a posteriori distributions. Prior knowledge, such as the negative sign of the coefficient pertaining to the price attribute, can be incorporated in the estimation. While the multinominal normal often is assumed for the priori distribution, the rationale for assuming normal distributions for random errors does not carry over to taste distributions. There is no reason to suppose that tastes are symmetrically distributed with infinite support. For small designs with no blocking, HB estimation can yield reliable individual best-worst values even when the number of responses per respondent is small. It is also efficient in the sense that for estimating the utility of an individual respondent, the choices of other respondents need not to be taken into account [42]. MNL estimation allows determining the choice probability for a given choice scenario. Applied to BWS data, it is very similar to HB estimation of a DCE, with the only difference that BWS additionally requires analysis of the worst choice. Since a closed solution for deriving the posteriori distribution is not available, simulation methods are required, which are supported by standard statistical software [32].

Results and overview of recent BWS applications
The literature search generated a total of 53 publications which met the inclusion criteria (see appendix for their listing and key characteristics). As shown in Fig. 4, there was a substantial increase in the number of BWS applications to healthcare between the years 2006 and 2015, with zero annual publications up to 2007 and around 15 recently. Therefore, their absolute number is still rather small.
A crucial aspect of constructing a BWS experiment is the variant which is used for data collection. The three BWS variants (see Variants of best-worst scaling) differ in the nature and in the complexity of the items being chosen [33]. Out of the 53 BWS publications, 24 are 'object case' (also called case 1) BWS, 24 are 'profile case' (also called case 2), and five are 'multiprofile case' (also called case 3 or BWSDCE) studies, respectively. Thus, studies of the 'object case' and 'profile case' have been dominant in healthcare (see also appendix). Furthermore, sample sizes vary considerably, ranging from minimum N = 16 [43], to maximum N = 5,026 [44], with a mean of N = 442 respondents. As to the topics addressed by BWS papers, they fall in two main categories, value of health (derived from the valuation of health states) and value of health care or intervention (derived from the valuation of treatment characteristics or changes in attribute levels).
Only eight of the 53 publications focus on the value of health in terms of health-related quality of life: they are usually based on patient reported outcomes. By way of contrast, 31 publications use BWS for the evaluation of an intervention, usually based on clinician reported outcomes. The remaining 14 studies address policy issues, examining societal preferences. Over time, there has been an increase in the number of BWS applications revolving around patient and expert preferences (see also Fig. 4).

Discussion: strengths and weaknesses in application
BWS has a wide range of potential applications, ranging from estimating utility functions and marginal willingness to pay associated with specific attributes and entire alternatives to predicting likely acceptance of innovative healthcare products and services. While BWS is well-established in management science and marketing, it is much less used in health economics and health services research, although there is an increasing trend.

Latent utility scale
Flynn et al. complemented their study of patient preferences with a comparison of estimation methods, finding the results of weighted least squares to be quite comparable to those of far more demanding MNL estimation [31]. Furthermore, they claim that a traditional DCE cannot be used to assign relative utility weights to attribute levels because parameter estimates and an unobserved scale factor are confounded. If true, this would amount to a major deficiency because valuation of attribute levels such as the difference in length of life between 3 months and 9 months plays an important role in utility assessment and health policy. Moreover, a marginal change in levels often needs to be evaluated against a discrete change such as the presence or absence of an attribute. However, as argued in Section 5.2 of the companion paper, the alleged unobserved scale factor may be the consequence of a failure to identify preferences correctly.

Accuracy of predictions
BWS, in particular Case 3, was found to merely constitute a refinement of a DCE, allowing for more accurate but not fundamentally different measurement of utility differences. Comparing six approaches for determining the importance of attributes Chrzan and Golovashkina conclude that BWS improves discrimination of attributes and prediction of actual decisions [45]. This finding reflects the main strength of BWS, which is the information gain achieved by collecting additional information from each question. In this way, preference structures can be determined more precisely or with equal precision but smaller sample size. Moreover, through stepwise exclusion of alternatives identified as best and worst, BWS can yield complete rather than partial rankings.

Cognitive burden
Decreased cognitive burden placed on respondents has been cited as an advantage of BWS; however, the available evidence is not conclusive [46]. It seems reasonable to assume that it is easier for respondents to identify two extreme points than to select the most preferred alternative in complex decision scenarios comprising two or more alternatives with many attributes, or to determine a complete hierarchy of attributes [16]. However, this argument refers to profile case BWS, which is found to lack the important property of scale invariance (see Sections 2.4.2 and 5.3 of the companion paper). The same caveat applies to the claim that BWS enables identifying individual preference scales.

Endogenous censoring
BWS can be seen as partial rankings of attributes or levels based on sequential choices, causing the first response to have an influence on that to the second question. While this endogenous censoring changes the value of expected utility (EU), it does not affect actual choice. Consider the following example. In the first round, a respondent has to choose among {Worst1, F, G, Best1}, with F dominated by G. He or she calculates EU as the weighted sum of the utilities associated with these four outcomes, with the weights given by the (exogenous) probabilities of their occurrence. In the second round, the choice set is reduced to {F, G, Best 1 }, making the respondent calculate EU over three outcomes only, with changed probability weights. However, these weights are now endogenous because they depend on the respondent's choice in the first round. This constitutes a violation of expected utility theory. Moreover, the secondround EU value will generally differ from the first-round one. Yet, given that Best 1 evidently dominates G, the final choice of 'best' will not be affected.

Lexicographic preferences
A BWS task simply involves identifying the most or least important decision criteria and selecting the attribute, level, or alternative which is considered to be best or worst for that attribute. BWS asks the decision maker to rank the attributes (or levels) in order of importance. For example, in choosing a specific treatment option, any increase in length of life could be more important than any improvement in activities of daily living or any reduction in side effects. In this case the decision maker employs a noncompensatory heuristic that rejects trade-offs among attributes. This lexicographic strategy involves little effort to evaluate preference-elicitation tasks. Where information is limited or when one attribute actually is considerably more important than all others, noncompensatory responses can be a valid expression of preferences. However, with greater attention to the preference-elicitation task, decision makers might have accepted lower levels of the dominant attribute in return for higher levels of other attributes. Unfortunately, as in traditional DCEs, it usually is impossible to determine whether non-compensatory responses are a valid expression of preferences or a simplifying heuristic designed to avoid the effort of evaluating trade-offs.

Judgment versus choice
The extra information obtained by BWS may not be as valuable as claimed by some authors. Asking for the best and worst attributes provides no information about the attractiveness of the choice scenario itself, precluding predictions of effective use or demand by patients and consumers. For example, respondents who consider all options of the choice scenario as important or unimportant have no way of expressing this in responses to preference-elicitation questions. One solution is to add an opt-out or no-purchase option relative to a benchmark alternative, such as, "Is this treatment better than your current treatment?" [30].
Nevertheless, being an extension of DCEs, BWS does have advantages over traditional methods of preference measurement such as rating or ranking. But these advantages derive from the fact that the DCE is firmly anchored in economic theory, ensuring that respondents evaluate trade-offs among advantages and disadvantages of alternatives. Besides advantages, BWS also has disadvantages, which ultimately relate to the fact that additional experimental information comes at a cost. Specifically, BWS increases the time respondents need for evaluating alternatives [40,45], casting doubt on its alleged cognitive simplicity [15]. Moreover, respondents are not guided by a predetermined scale as in rating, and they are required to make a forced decision [47]. Yet forced choices are not always unrealistic, because in many health contexts, "no treatment" is not an acceptable option. They can always be avoided if necessary by including an opt-out or no-purchase alternative in the study design.

Conclusions and outlook
BWS has been shown to provide results of comparable reliability as DCEs, regardless of design and sample size [13,18]. Thus BWS, particularly multiprofile case BWS, is best viewed as a refinement of the conventional DCE which opens up several new opportunities in health economics and health services research.
In particular, increased preference information from each respondent facilitates identification of preference heterogeneity among respondents through including interaction terms in the regression equation (see Discussion: strengths and weaknesses in application of the companion paper).
There are several open questions that should be addressed in future research. According to Flynn and colleagues [30], there is no general basis for determining sufficient sample size for a BWS study (which is true of DCEs as well), even though there are some guidelines (see e.g. Johnson et al. or Yang J.-C. et al. [48,49]). Also, modelling the random component of the utility function with data on best and worst choices is an important research challenge. Another question is whether socio-economic characteristics can be introduced through interaction terms as in a DCE. Best responses might depend on age, gender, and income in ways different from worst responses. This is of importance because health policy makers need to know whether the priorities of citizens vary with their socio-economic characteristics [14]. As an additional complication, attribute values could depend on the levels of other attributes, as predicted by the convexity of the indifference curves. Such dependencies have been little explored to date, not least because the samples were too small for accurate estimation of the corresponding coefficients. The additional information generated by BWS could facilitate more complex model specifications.
Physicians, researchers, and regulators often are poorly informed about advantages and limitations of statedpreference methods. Despite the increased commitment to patient-centeredness, healthcare decision makers do not fully realize that knowledge of the subjective relative importance of outcomes to those affected is needed to maximize the health benefits of available healthcare technology and resources. Therefore, establishing statedpreference data as an essential, valid component of the evidence base used to assess therapeutic options should be of high priority in health economic and health services research.