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The Importance of Common Metrics for Advancing Social Science Theory and Research: A Workshop Summary
  http://www.nap.edu/catalog/13034.html

            MEASUREMENT IN THE SOCIAL SCIENCES                             9

            Patient-Reported Outcomes Measurement Information System (PROMIS)
            at the National Institutes of Health (NIH).
               Bohrnstedt ended with a set of ideas for constructing good measures in
            which the items reflect constructs:

               •   Define the concept as carefully as possible, specifying the domain
                   of meaning.
               •   Use factor analysis to explore the dimensionality of the concept.
               •   After determining dimensionality, do a confirmatory factor analysis
                   to verify.
               •   Estimate the internal consistency reliability of the measures con-
                   structed on the basis of the analysis.
               •   Fit the items for each dimension to a Rasch model.
               •   If the items will not fit a one-parameter or Rasch model, then fit
                   them to a two-parameter model.
               •   Ensure  that  parameter  estimates  are  invariant  for  various
                   subpopulations.
               •   Develop new items to bolster sparse areas on the latent dimensions.

               With respect to index construction, Bohrnstedt observed that in sociol-
            ogy, economics, and policy research, in some cases the assumption is that
            the indicators define the construct rather than the other way around. This is
            sometimes called a “formative” as opposed to a “reflective” model of index
            construction. Examples include an index of socioeconomic status, consist-
            ing of education, income, and occupation, and the consumer price index,
            which is based on a market basket of goods and services. The construct
            is in fact determined by or defined by the indicators that go into it. Typi-
            cally, the indicators are simply unit-weighted, but in some cases they are
            weighted on the basis of theory, differential utilities, or other preferences
            (e.g., relative importance based on a community survey). One can estimate
            the weights of the indicators if there are multiple indicators and multiple
            causes (the MIMIC model).


                       COMPARABLE METRICS: SOME EXAMPLES
               Robert Hauser (Division of Behavioral and Social Sciences and Edu-
            cation, National Research Council, Washington, DC, and Vilas Research
            Professor,  Emeritus,  University  of  Wisconsin,  Madison)  reflected  on  the
            tradeoff  inherent  in  standardization.  In  the  social,  behavioral,  and  eco-
            nomic sciences, standardization of measures can help the accumulation of
            evidence because it permits valid comparisons across time, place, or units
            of observations (e.g., persons, families, settings, localities, organizations).
            Standardization also can create common understandings, when measure-







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