Model comparison in ANOVA
Analysis of variance (ANOVA), the workhorse analysis of experimental designs, consists of F -tests of main effects and interactions. Yet, testing, including traditional ANOVA, has been recently critiqued on a number of theoretical and practical grounds. In light of these critiques, model comparison...
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Veröffentlicht in: | Psychonomic bulletin & review 2016-12, Vol.23 (6), p.1779-1786 |
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creator | Rouder, Jeffrey N. Engelhardt, Christopher R. McCabe, Simon Morey, Richard D. |
description | Analysis of variance (ANOVA), the workhorse analysis of experimental designs, consists of
F
-tests of main effects and interactions. Yet, testing, including traditional ANOVA, has been recently critiqued on a number of theoretical and practical grounds. In light of these critiques, model comparison and model selection serve as an attractive alternative. Model comparison differs from testing in that one can support a null or nested model vis-a-vis a more general alternative by penalizing more flexible models. We argue this ability to support more simple models allows for more nuanced theoretical conclusions than provided by traditional ANOVA
F
-tests. We provide a model comparison strategy and show how ANOVA models may be reparameterized to better address substantive questions in data analysis. |
doi_str_mv | 10.3758/s13423-016-1026-5 |
format | Article |
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F
-tests of main effects and interactions. Yet, testing, including traditional ANOVA, has been recently critiqued on a number of theoretical and practical grounds. In light of these critiques, model comparison and model selection serve as an attractive alternative. Model comparison differs from testing in that one can support a null or nested model vis-a-vis a more general alternative by penalizing more flexible models. We argue this ability to support more simple models allows for more nuanced theoretical conclusions than provided by traditional ANOVA
F
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F
-tests of main effects and interactions. Yet, testing, including traditional ANOVA, has been recently critiqued on a number of theoretical and practical grounds. In light of these critiques, model comparison and model selection serve as an attractive alternative. Model comparison differs from testing in that one can support a null or nested model vis-a-vis a more general alternative by penalizing more flexible models. We argue this ability to support more simple models allows for more nuanced theoretical conclusions than provided by traditional ANOVA
F
-tests. We provide a model comparison strategy and show how ANOVA models may be reparameterized to better address substantive questions in data analysis.</description><subject>Analysis of Variance</subject><subject>Asymmetry</subject><subject>Behavioral Science and Psychology</subject><subject>Biomedical Research</subject><subject>Brief Report</subject><subject>Cognitive Psychology</subject><subject>Experimental psychology</subject><subject>Flexibility</subject><subject>Humans</subject><subject>Models, Statistical</subject><subject>Noise</subject><subject>Psychologists</subject><subject>Psychology</subject><subject>Variance analysis</subject><issn>1069-9384</issn><issn>1531-5320</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kE1LAzEQhoMotlZ_QC9S8OIlmsnXJsdS_AK1F_UadpNUtuxuatI9-O9N2SoieJqBeead4UFoCuSKFUJdJ2CcMkxAYiBUYnGAxiAYYMEoOcw9kRprpvgInaS0JoQIqeUxGtGCSCU4G6PpU3C-mdnQbspYp9DN6m42f16-zU_R0apskj_b1wl6vb15Wdzjx-Xdw2L-iC0HscWOVp65qpCcAhMVCO40A-eEJRWlXHIlCwaycuBKbYEIZVeFkMop6kFryybocsjdxPDR-7Q1bZ2sb5qy86FPBhSVUhZSi4xe_EHXoY9d_i5TXBHNCq4yBQNlY0gp-pXZxLot46cBYnbezODNZG9m583sks_3yX3Vevez8S0qA3QAUh517z7-Ov1v6hf8h3PU</recordid><startdate>20161201</startdate><enddate>20161201</enddate><creator>Rouder, Jeffrey N.</creator><creator>Engelhardt, Christopher R.</creator><creator>McCabe, Simon</creator><creator>Morey, Richard D.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>4T-</scope><scope>4U-</scope><scope>7X7</scope><scope>7XB</scope><scope>88E</scope><scope>88G</scope><scope>8AO</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>K9.</scope><scope>M0S</scope><scope>M1P</scope><scope>M2M</scope><scope>M2O</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PSYQQ</scope><scope>Q9U</scope><scope>7X8</scope></search><sort><creationdate>20161201</creationdate><title>Model comparison in ANOVA</title><author>Rouder, Jeffrey N. ; 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F
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F
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subjects | Analysis of Variance Asymmetry Behavioral Science and Psychology Biomedical Research Brief Report Cognitive Psychology Experimental psychology Flexibility Humans Models, Statistical Noise Psychologists Psychology Variance analysis |
title | Model comparison in ANOVA |
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