{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T21:47:19Z","timestamp":1777326439252,"version":"3.51.4"},"reference-count":31,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T00:00:00Z","timestamp":1654041600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,6,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>\n                    This paper describes an iterative analysis of incomplete genotype \u00d7 environment data.\n                    <jats:italic>L<\/jats:italic>\n                    <jats:italic>\n                      <jats:sub>2<\/jats:sub>\n                      environmental indices\n                    <\/jats:italic>\n                    were introduced to enable the use of Joint Regression Analysis (JRA) in analyzing experiments with incomplete blocks. We now show how, once normality of yields is assumed, the introduction of L2 environmental indices provides a theoretical framework for Joint Regression Analysis. Using this framework, maximum likelihood estimators are obtained and likelihood ratio tests are derived. It is noted that the technique allows unequal weighting of data, and the special case of complete blocks is discussed.\n                  <\/jats:p>","DOI":"10.2478\/bile-2022-0003","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T16:29:37Z","timestamp":1656692977000},"page":"23-46","source":"Crossref","is-referenced-by-count":0,"title":["Maximum Likelihood and L\n                    <sub>2<\/sub>\n                    Environmental Indices in Joint Regression Analysis"],"prefix":"10.2478","volume":"59","author":[{"given":"Dulce Gamito","family":"Pereira","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica , Escola de Ci\u00eancias e Tecnologia, Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es, Instituto de Investiga\u00e7\u00e3o e Forma\u00e7\u00e3o Avan\u00e7ada , Universidade de \u00c9vora , Rua Rom\u00e3o Ramalho 59 , \u00c9vora , Portugal"}]}],"member":"374","published-online":{"date-parts":[[2022,6,30]]},"reference":[{"key":"2026042716324009782_j_bile-2022-0003_ref_001","unstructured":"Aastveit A.H. 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