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An Algorithm for Converting Ordinal Scale Measurement Data to Interval/Ratio Scale

Minnesota State University, Mankato

^* To whom correspondence should be addressed. E-mail: granbj{at}mnsu.edu.

	Abstract

The extensive use of survey instruments in the social sciences has long created debate and concern about validity of outcomes,especially among instruments that gather ordinal-level data. Ordinal-level survey measurement of concepts that could be measured at the interval or ratio level produce errors because respondents are forced to truncate or round off their responses to fit a given ordinal scale. This article presents a Markov chain Monte Carlo modeling technique that converts ordinal measurements to interval/ ratio. Simulated data demonstrate the robustness of this technique,and implications of this technique are discussed.

First published on September 2, 2009
Educational and Psychological Measurement 2009, doi:10.1177/0013164409344532


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