Small-Sample Adjustments for Tests of Moderators and Model Fit in Robust Variance Estimation in Meta-Regression

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Title: Small-Sample Adjustments for Tests of Moderators and Model Fit in Robust Variance Estimation in Meta-Regression
Language: English
Authors: Tipton, Elizabeth, Pustejovsky, James E., Society for Research on Educational Effectiveness (SREE)
Source: Society for Research on Educational Effectiveness. 2015.
Availability: Society for Research on Educational Effectiveness. 2040 Sheridan Road, Evanston, IL 60208. Tel: 202-495-0920; Fax: 202-640-4401; e-mail: inquiries@sree.org; Web site: http://www.sree.org
Peer Reviewed: Y
Page Count: 9
Publication Date: 2015
Document Type: Reports - Research
Descriptors: Randomized Controlled Trials, Sample Size, Effect Size, Hypothesis Testing, Regression (Statistics), Robustness (Statistics), Mathematical Models, Simulation, Statistical Bias, Sampling, Economics, Hierarchical Linear Modeling, Meta Analysis
Abstract: Randomized experiments are commonly used to evaluate the effectiveness of educational interventions. The goal of the present investigation is to develop small-sample corrections for multiple contrast hypothesis tests (i.e., F-tests) such as the omnibus test of meta-regression fit or a test for equality of three or more levels of a categorical moderator. Drawing on work that addresses related, simpler problems and special cases of cluster-robust variance estimation, the authors develop three small-sample tests based on different approximations to the distribution of a robust Wald test statistic. In the remainder of the study, the authors describe their modeling assumptions, proposed tests, and some initial simulation result. These approximations are drawn from a wide array of areas within statistics, ranging from econometrics to survey sampling. The paper presents both new analytic work describing these small-sample corrected test statistics and the results of a large simulation study that compares these potential solutions, as well as a discussion of the implications of our findings for practice. Tables and figures are appended.
Abstractor: ERIC
Number of References: 8
Entry Date: 2015
Accession Number: ED562265
Database: ERIC
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  – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED562265
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  Data: Small-Sample Adjustments for Tests of Moderators and Model Fit in Robust Variance Estimation in Meta-Regression
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  Data: Society for Research on Educational Effectiveness. 2040 Sheridan Road, Evanston, IL 60208. Tel: 202-495-0920; Fax: 202-640-4401; e-mail: inquiries@sree.org; Web site: http://www.sree.org
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  Data: 9
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  Data: <searchLink fieldCode="DE" term="%22Randomized+Controlled+Trials%22">Randomized Controlled Trials</searchLink><br /><searchLink fieldCode="DE" term="%22Sample+Size%22">Sample Size</searchLink><br /><searchLink fieldCode="DE" term="%22Effect+Size%22">Effect Size</searchLink><br /><searchLink fieldCode="DE" term="%22Hypothesis+Testing%22">Hypothesis Testing</searchLink><br /><searchLink fieldCode="DE" term="%22Regression+%28Statistics%29%22">Regression (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Robustness+%28Statistics%29%22">Robustness (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation%22">Simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+Bias%22">Statistical Bias</searchLink><br /><searchLink fieldCode="DE" term="%22Sampling%22">Sampling</searchLink><br /><searchLink fieldCode="DE" term="%22Economics%22">Economics</searchLink><br /><searchLink fieldCode="DE" term="%22Hierarchical+Linear+Modeling%22">Hierarchical Linear Modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Meta+Analysis%22">Meta Analysis</searchLink>
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  Data: Randomized experiments are commonly used to evaluate the effectiveness of educational interventions. The goal of the present investigation is to develop small-sample corrections for multiple contrast hypothesis tests (i.e., F-tests) such as the omnibus test of meta-regression fit or a test for equality of three or more levels of a categorical moderator. Drawing on work that addresses related, simpler problems and special cases of cluster-robust variance estimation, the authors develop three small-sample tests based on different approximations to the distribution of a robust Wald test statistic. In the remainder of the study, the authors describe their modeling assumptions, proposed tests, and some initial simulation result. These approximations are drawn from a wide array of areas within statistics, ranging from econometrics to survey sampling. The paper presents both new analytic work describing these small-sample corrected test statistics and the results of a large simulation study that compares these potential solutions, as well as a discussion of the implications of our findings for practice. Tables and figures are appended.
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      – Text: English
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      Pagination:
        PageCount: 9
    Subjects:
      – SubjectFull: Randomized Controlled Trials
        Type: general
      – SubjectFull: Sample Size
        Type: general
      – SubjectFull: Effect Size
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      – SubjectFull: Hypothesis Testing
        Type: general
      – SubjectFull: Regression (Statistics)
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      – SubjectFull: Robustness (Statistics)
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      – SubjectFull: Mathematical Models
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      – SubjectFull: Simulation
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      – SubjectFull: Statistical Bias
        Type: general
      – SubjectFull: Sampling
        Type: general
      – SubjectFull: Economics
        Type: general
      – SubjectFull: Hierarchical Linear Modeling
        Type: general
      – SubjectFull: Meta Analysis
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      – TitleFull: Small-Sample Adjustments for Tests of Moderators and Model Fit in Robust Variance Estimation in Meta-Regression
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