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The equivalence of three latent class models and ML estimators
The purpose of this letter is to show the equivalence of three latent class models; the switching regression model with endogenous switching and a latent outcome (the binary Roy model), the probit model with a systematically misclassified dependent variable, and a trivariate probit model with partia...
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| Published in: | Economics letters 2016-04, Vol.141, p.147-150 |
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| Format: | Article |
| Language: | English |
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| container_end_page | 150 |
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| container_start_page | 147 |
| container_title | Economics letters |
| container_volume | 141 |
| creator | Tennekoon, Vidhura S. |
| description | The purpose of this letter is to show the equivalence of three latent class models; the switching regression model with endogenous switching and a latent outcome (the binary Roy model), the probit model with a systematically misclassified dependent variable, and a trivariate probit model with partial observability. The probit model with measurement error is an enhanced version of existing models which allows for the potential correlation between error terms. Establishing this connection, we hope, will help a researcher working on one of these classes of estimators to benefit from the literature and software related to other families.
•We establish the equivalence of three latent class models.•They are the binary Roy model, the probit model with a misclassified dependent variable and a trivariate probit model with partial observability.•The probit model with measurement error is an enhanced version of existing models.•A researcher working on one of these estimators may benefit from the literature and software related to others. |
| doi_str_mv | 10.1016/j.econlet.2016.02.028 |
| format | article |
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•We establish the equivalence of three latent class models.•They are the binary Roy model, the probit model with a misclassified dependent variable and a trivariate probit model with partial observability.•The probit model with measurement error is an enhanced version of existing models.•A researcher working on one of these estimators may benefit from the literature and software related to others.</description><identifier>ISSN: 0165-1765</identifier><identifier>EISSN: 1873-7374</identifier><identifier>DOI: 10.1016/j.econlet.2016.02.028</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Binary Roy model ; Classification ; Correlation analysis ; Economic models ; Estimating techniques ; Measurement errors ; Misclassified data ; Partial observability model ; Probit model ; Regression analysis ; Studies ; Switching regression</subject><ispartof>Economics letters, 2016-04, Vol.141, p.147-150</ispartof><rights>2016 Elsevier B.V.</rights><rights>Copyright Elsevier Science Ltd. Apr 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c396t-dcf03c6afd3f14faa2f84163e762420b746162d67c542eedf92b0604eb4c5a823</cites><orcidid>0000-0002-3212-4644</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925,33223</link.rule.ids></links><search><creatorcontrib>Tennekoon, Vidhura S.</creatorcontrib><title>The equivalence of three latent class models and ML estimators</title><title>Economics letters</title><description>The purpose of this letter is to show the equivalence of three latent class models; the switching regression model with endogenous switching and a latent outcome (the binary Roy model), the probit model with a systematically misclassified dependent variable, and a trivariate probit model with partial observability. The probit model with measurement error is an enhanced version of existing models which allows for the potential correlation between error terms. Establishing this connection, we hope, will help a researcher working on one of these classes of estimators to benefit from the literature and software related to other families.
•We establish the equivalence of three latent class models.•They are the binary Roy model, the probit model with a misclassified dependent variable and a trivariate probit model with partial observability.•The probit model with measurement error is an enhanced version of existing models.•A researcher working on one of these estimators may benefit from the literature and software related to others.</description><subject>Binary Roy model</subject><subject>Classification</subject><subject>Correlation analysis</subject><subject>Economic models</subject><subject>Estimating techniques</subject><subject>Measurement errors</subject><subject>Misclassified data</subject><subject>Partial observability model</subject><subject>Probit model</subject><subject>Regression analysis</subject><subject>Studies</subject><subject>Switching regression</subject><issn>0165-1765</issn><issn>1873-7374</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>8BJ</sourceid><recordid>eNqFUEtLAzEQDqJgrf4EIeB517w22V4UKb6g4qWeQ5pM6C7bTZukBf-9Ke1dGBiG-R4zH0L3lNSUUPnY12DDOECuWRlrwkq1F2hCW8UrxZW4RJOyaCqqZHONblLqCaFsppoJelquAcNu3x3MAKMFHDzO6wiAB5NhzNgOJiW8CQ6GhM3o8NcCQ8rdxuQQ0y268mZIcHfuU_Tz9rqcf1SL7_fP-cuisnwmc-WsJ9xK4x33VHhjmG8FlRyUZIKRlRKSSuakso1gAM7P2IpIImAlbGNaxqfo4aS7jWG3L_66D_s4FktNVctnvNjwgmpOKBtDShG83sZyaPzVlOhjVLrX56j0MSpNWKm28J5PvPIjHDqIOtnumIbrItisXej-UfgDyLl0Fg</recordid><startdate>20160401</startdate><enddate>20160401</enddate><creator>Tennekoon, Vidhura S.</creator><general>Elsevier B.V</general><general>Elsevier Science Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8BJ</scope><scope>FQK</scope><scope>JBE</scope><orcidid>https://orcid.org/0000-0002-3212-4644</orcidid></search><sort><creationdate>20160401</creationdate><title>The equivalence of three latent class models and ML estimators</title><author>Tennekoon, Vidhura S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c396t-dcf03c6afd3f14faa2f84163e762420b746162d67c542eedf92b0604eb4c5a823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Binary Roy model</topic><topic>Classification</topic><topic>Correlation analysis</topic><topic>Economic models</topic><topic>Estimating techniques</topic><topic>Measurement errors</topic><topic>Misclassified data</topic><topic>Partial observability model</topic><topic>Probit model</topic><topic>Regression analysis</topic><topic>Studies</topic><topic>Switching regression</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tennekoon, Vidhura S.</creatorcontrib><collection>CrossRef</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><jtitle>Economics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tennekoon, Vidhura S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The equivalence of three latent class models and ML estimators</atitle><jtitle>Economics letters</jtitle><date>2016-04-01</date><risdate>2016</risdate><volume>141</volume><spage>147</spage><epage>150</epage><pages>147-150</pages><issn>0165-1765</issn><eissn>1873-7374</eissn><abstract>The purpose of this letter is to show the equivalence of three latent class models; the switching regression model with endogenous switching and a latent outcome (the binary Roy model), the probit model with a systematically misclassified dependent variable, and a trivariate probit model with partial observability. The probit model with measurement error is an enhanced version of existing models which allows for the potential correlation between error terms. Establishing this connection, we hope, will help a researcher working on one of these classes of estimators to benefit from the literature and software related to other families.
•We establish the equivalence of three latent class models.•They are the binary Roy model, the probit model with a misclassified dependent variable and a trivariate probit model with partial observability.•The probit model with measurement error is an enhanced version of existing models.•A researcher working on one of these estimators may benefit from the literature and software related to others.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.econlet.2016.02.028</doi><tpages>4</tpages><orcidid>https://orcid.org/0000-0002-3212-4644</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0165-1765 |
| ispartof | Economics letters, 2016-04, Vol.141, p.147-150 |
| issn | 0165-1765 1873-7374 |
| language | eng |
| recordid | cdi_proquest_journals_1783933963 |
| source | International Bibliography of the Social Sciences (IBSS); ScienceDirect Freedom Collection 2022-2024 |
| subjects | Binary Roy model Classification Correlation analysis Economic models Estimating techniques Measurement errors Misclassified data Partial observability model Probit model Regression analysis Studies Switching regression |
| title | The equivalence of three latent class models and ML estimators |
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