Quantifying Error and Uncertainty Reductions in Scaling Functions: An ITEMS Module.

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Title: Quantifying Error and Uncertainty Reductions in Scaling Functions: An ITEMS Module.
Authors: Moses, Tim1
Source: Educational Measurement: Issues & Practice. Summer2014, Vol. 33 Issue 2, p29-40. 12p. 6 Charts, 7 Graphs.
Subject Terms: *Errors, Error rates, Regression analysis, Multivariate analysis, Analysis of variance
Abstract: This module describes and extends X-to-Y regression measures that have been proposed for use in the assessment of X-to-Y scaling and equating results. Measures are developed that are similar to those based on prediction error in regression analyses but that are directly suited to interests in scaling and equating evaluations. The regression and scaling function measures are compared in terms of their uncertainty reductions, error variances, and the contribution of true score and measurement error variances to the total error variances. The measures are also demonstrated as applied to an assessment of scaling results for a math test and a reading test. The results of these analyses illustrate the similarity of the regression and scaling measures for scaling situations when the tests have a correlation of at least .80, and also show the extent to which the measures can be adequate summaries of nonlinear regression and nonlinear scaling functions, and of heteroskedastic errors. After reading this module, readers will have a comprehensive understanding of the purposes, uses, and differences of regression and scaling functions. [ABSTRACT FROM AUTHOR]
Copyright of Educational Measurement: Issues & Practice is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Educational+Measurement%3A+Issues+%26+Practice%22">Educational Measurement: Issues & Practice</searchLink>. Summer2014, Vol. 33 Issue 2, p29-40. 12p. 6 Charts, 7 Graphs.
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  Data: *<searchLink fieldCode="DE" term="%22Errors%22">Errors</searchLink><br /><searchLink fieldCode="DE" term="%22Error+rates%22">Error rates</searchLink><br /><searchLink fieldCode="DE" term="%22Regression+analysis%22">Regression analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Multivariate+analysis%22">Multivariate analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Analysis+of+variance%22">Analysis of variance</searchLink>
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  Data: This module describes and extends X-to-Y regression measures that have been proposed for use in the assessment of X-to-Y scaling and equating results. Measures are developed that are similar to those based on prediction error in regression analyses but that are directly suited to interests in scaling and equating evaluations. The regression and scaling function measures are compared in terms of their uncertainty reductions, error variances, and the contribution of true score and measurement error variances to the total error variances. The measures are also demonstrated as applied to an assessment of scaling results for a math test and a reading test. The results of these analyses illustrate the similarity of the regression and scaling measures for scaling situations when the tests have a correlation of at least .80, and also show the extent to which the measures can be adequate summaries of nonlinear regression and nonlinear scaling functions, and of heteroskedastic errors. After reading this module, readers will have a comprehensive understanding of the purposes, uses, and differences of regression and scaling functions. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Educational Measurement: Issues & Practice is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1111/emip.12032
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      – Code: eng
        Text: English
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        PageCount: 12
        StartPage: 29
    Subjects:
      – SubjectFull: Errors
        Type: general
      – SubjectFull: Error rates
        Type: general
      – SubjectFull: Regression analysis
        Type: general
      – SubjectFull: Multivariate analysis
        Type: general
      – SubjectFull: Analysis of variance
        Type: general
    Titles:
      – TitleFull: Quantifying Error and Uncertainty Reductions in Scaling Functions: An ITEMS Module.
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              Text: Summer2014
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