{"id":119192,"date":"2024-01-22T22:22:49","date_gmt":"2024-01-22T21:22:49","guid":{"rendered":"https:\/\/www.wifo.ac.at\/publication\/119192\/"},"modified":"2024-11-07T05:03:01","modified_gmt":"2024-11-07T04:03:01","slug":"two-part-models-for-fractional-responses-defined-as-ratios-of-integers-2","status":"publish","type":"publication","link":"https:\/\/www.wifo.ac.at\/en\/publication\/119192\/","title":{"rendered":"Two-Part Models for Fractional Responses Defined as Ratios of Integers"},"content":{"rendered":"","protected":false},"featured_media":0,"template":"","class_list":["post-119192","publication","type-publication","status-publish","hentry"],"acf":{"subtitle":"","text":"This paper discusses two alternative two-part models for fractional response variables that are defined as ratios of integers. The first two-part model assumes a Binomial distribution and known group size. It nests the one-part fractional response model proposed by Papke and Wooldridge (1996) and thus, allows to apply Wald, LM and\/or LR tests in order to discriminate between the two models. The second model extends the first one by allowing for overdispersion. Monte Carlo studies reveal that, for both models, the proposed tests are equipped with sufficient power and are properly sized. Finally, we demonstrate the usefulness of the proposed two-part models for data on the 401(k) pension plan participation rates used in Papke and Wooldridge (1996).","onlinedate":"2014-06-17 12:00:00","lang":"English","publication_series":"","publication_date":"20140601","publication_date_year":"","publication_date_full":false,"publication_num_pages":"26","keywords":"[\"Fractional response models for ratios of integers\",\"LM test\",\"LR test\",\"Wald test\",\"one-part versus two-part models\"]","jelcodes":"[]","related_publications":"[]","pdf":353151,"zip":null,"link":"","monthly_report":true,"monthly_report_main":false,"monthly_report_volume":"","monthly_report_pages":"","monthly_report_pages_sort":"0","issue":"472","journal":"WIFO Working Papers","publisher":"","invisible":false,"external":false,"embargo_date":"2014-06-17 12:00:00","types":[44410],"research_groups":[3491],"collaboration":"","persons":[3600,3785],"persons_data":"[{\"personId\":3600,\"personName\":\"Harald Oberhofer\",\"organisationNames\":[]},{\"personId\":3785,\"personName\":\"Michael Pfaffermayr\",\"organisationNames\":[]}]","clients":[],"subclients":[],"partners":[],"topics":[],"host_publication_title":"","host_publication_subtitle":"","place_of_publication":"","host_publication_editors":"[]","type_description":"","output_media":"","chapter":"","article_number":"","citations":"{\"apa\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_apa rendering_contributiontoperiodical rendering_apa rendering_contributiontoperiodical_apa\\\"><span>Oberhofer, H.<\\\/span><span>, &amp; Pfaffermayr, M.<\\\/span> (2014). <span>Two-Part Models for Fractional Responses Defined as Ratios of Integers<\\\/span>. <span><em>WIFO Working Papers<\\\/em><\\\/span>, (472). <a onclick=\\\"window.open(this.href, '_blank','noopener,noreferrer'); return false;\\\" href=\\\"https:\\\/\\\/www.wifo.ac.at\\\/wwa\\\/pubid\\\/47262\\\" class=\\\"link\\\"><span>https:\\\/\\\/www.wifo.ac.at\\\/wwa\\\/pubid\\\/47262<\\\/span><\\\/a><\\\/div>\",\"vancouver\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_vancouver rendering_contributiontoperiodical rendering_vancouver rendering_contributiontoperiodical_vancouver\\\"><span>Oberhofer H<\\\/span><span>, Pfaffermayr M<\\\/span>. <span class=\\\"title\\\"><span>Two-Part Models for Fractional Responses Defined as Ratios of Integers<\\\/span><\\\/span>. <span>WIFO Working Papers<\\\/span>. 2014 Jun;(472).<\\\/div>\",\"bibtex\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_bibtex rendering_contributiontoperiodical rendering_bibtex rendering_contributiontoperiodical_bibtex\\\"><div>@misc{25f87e0956234b13b17176481685d1fd,<\\\/div><div>  title    = \\\"Two-Part Models for Fractional Responses Defined as Ratios of Integers\\\",<\\\/div><div>  abstract = \\\"This paper discusses two alternative two-part models for fractional response variables that are defined as ratios of integers. The first two-part model assumes a Binomial distribution and known group size. It nests the one-part fractional response model proposed by Papke and Wooldridge (1996) and thus, allows to apply Wald, LM and\\\/or LR tests in order to discriminate between the two models. The second model extends the first one by allowing for overdispersion. Monte Carlo studies reveal that, for both models, the proposed tests are equipped with sufficient power and are properly sized. Finally, we demonstrate the usefulness of the proposed two-part models for data on the 401(k) pension plan participation rates used in Papke and Wooldridge (1996).\\\",<\\\/div><div>  keywords = \\\"Fractional response models for ratios of integers, LM test, LR test, Wald test, one-part versus two-part models, Fractional response models for ratios of integers, LM test, LR test, Wald test, one-part versus two-part models\\\",<\\\/div><div>  author   = \\\"Harald Oberhofer and Michael Pfaffermayr\\\",<\\\/div><div>  note     = \\\"Two-Part Models for Fractional Responses\\\",<\\\/div><div>  year     = \\\"2014\\\",<\\\/div><div>  month    = jun,<\\\/div><div>  language = \\\"English\\\",<\\\/div><div>  journal  = \\\"WIFO Working Papers\\\",<\\\/div><p>}<\\\/p><\\\/div>\",\"ris\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_ris rendering_contributiontoperiodical rendering_ris rendering_contributiontoperiodical_ris\\\"><p>TY  - GEN<\\\/p><p>T1  - Two-Part Models for Fractional Responses Defined as Ratios of Integers<\\\/p><p>AU  - Oberhofer, Harald<\\\/p><p>AU  - Pfaffermayr, Michael<\\\/p><p>N1  - Two-Part Models for Fractional Responses<\\\/p><p>PY  - 2014\\\/6<\\\/p><p>Y1  - 2014\\\/6<\\\/p><p>N2  - This paper discusses two alternative two-part models for fractional response variables that are defined as ratios of integers. The first two-part model assumes a Binomial distribution and known group size. It nests the one-part fractional response model proposed by Papke and Wooldridge (1996) and thus, allows to apply Wald, LM and\\\/or LR tests in order to discriminate between the two models. The second model extends the first one by allowing for overdispersion. Monte Carlo studies reveal that, for both models, the proposed tests are equipped with sufficient power and are properly sized. Finally, we demonstrate the usefulness of the proposed two-part models for data on the 401(k) pension plan participation rates used in Papke and Wooldridge (1996).<\\\/p><p>AB  - This paper discusses two alternative two-part models for fractional response variables that are defined as ratios of integers. The first two-part model assumes a Binomial distribution and known group size. It nests the one-part fractional response model proposed by Papke and Wooldridge (1996) and thus, allows to apply Wald, LM and\\\/or LR tests in order to discriminate between the two models. The second model extends the first one by allowing for overdispersion. Monte Carlo studies reveal that, for both models, the proposed tests are equipped with sufficient power and are properly sized. Finally, we demonstrate the usefulness of the proposed two-part models for data on the 401(k) pension plan participation rates used in Papke and Wooldridge (1996).<\\\/p><p>KW  - Fractional response models for ratios of integers<\\\/p><p>KW  - LM test<\\\/p><p>KW  - LR test<\\\/p><p>KW  - Wald test<\\\/p><p>KW  - one-part versus two-part models<\\\/p><p>KW  - Fractional response models for ratios of integers<\\\/p><p>KW  - LM test<\\\/p><p>KW  - LR test<\\\/p><p>KW  - Wald test<\\\/p><p>KW  - one-part versus two-part models<\\\/p><p>M3  - WIFO series<\\\/p><p>JO  - WIFO Working Papers<\\\/p><p>JF  - WIFO Working Papers<\\\/p><p>ER  - <\\\/p><\\\/div>\"}","scientific_assistance":"[]","scientific_review":"[]","version":"","release_date":null,"expiration_date":null,"surveyor":"","research_assistance":"","edv":"","additional_info_de":"","additional_info_en":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.0 (Yoast SEO v28.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Two-Part Models for Fractional Responses Defined as Ratios of Integers - 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