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IOTA: Stata module to compute the iota coefficient of interrater agreement for interval or nominal multivariate observations

Author

Listed:
  • Ariel Linden

    (Linden Consulting Group, LLC)

Programming Language

Stata

Abstract

iota computes the iota coefficient of interrater agreement proposed by Janson and Olsson (2001). This measure of agreement is an extension of Cohen's (1960) kappa for univariate (single depvar) nominal data and Berry and Mielke's (1988) generalization of Cohen's kappa agreement measure to univariate (single depvar) interval level data to the multivariate case. As described by Janson and Olsson (2001), their proposed extension of Cohen's agreement measure is applicable to interobserver agreement in the case where a set of two or more judges (sampled from a larger population of possible judges) have rated a set of targets (sampled from a larger population of targets) on several dimensions or variables. The basic assumptions are that targets are independent and that judges have operated independently. When there are two judges and one variable, iota is exactly equivalent to Cohen's (1960) kappa. And when there is one variable and several judges, iota exactly equals Berry and Mielke's (1988) R and also Conger's (1980) "Fleiss exact" coefficient — a modification of a measure originally proposed by Fleiss (1971).

Suggested Citation

  • Ariel Linden, 2023. "IOTA: Stata module to compute the iota coefficient of interrater agreement for interval or nominal multivariate observations," Statistical Software Components S459220, Boston College Department of Economics.
    • Handle: RePEc:boc:bocode:s459220
    Note: This module should be installed from within Stata by typing "ssc install iota". The module is made available under terms of the GPL v3 (https://www.gnu.org/licenses/gpl-3.0.txt). Windows users should not attempt to download these files with a web browser.
    as

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    File URL: http://fmwww.bc.edu/repec/bocode/i/iota.ado
    File Function: program code
    Download Restriction: no
    File URL: http://fmwww.bc.edu/repec/bocode/i/iota.sthlp
    File Function: help file
    Download Restriction: no
    File URL: http://fmwww.bc.edu/repec/bocode/i/iota_nominal.dta
    File Function: supplementary data file
    Download Restriction: no
    File URL: http://fmwww.bc.edu/repec/bocode/i/iota_interval.dta
    File Function: supplementary data file
    Download Restriction: no
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