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We propose a semiparametric model for a bivariate response variable with random coefficients, that are assumed to follow a discrete distribution with an unknown number of support points, together with an Expectation-Maximization algorithm\u2014called BSPEM algorithm\u2014to estimate its parameters. In the case study, we apply the BSPEM algorithm to data about Italian middle schools, considering students nested within classes, and we identify subpopulations of classes, standing on their effects on student achievements in reading and mathematics. The proposed model is extremely informative in exploring the correlation between multiple class effects, which are typical of the educational production function. The estimated class effects on reading and mathematics student achievements are then explained in terms of various class and school level characteristics selected by means of a LASSO regression.<\/jats:p>","DOI":"10.1007\/s00180-021-01107-1","type":"journal-article","created":{"date-parts":[[2021,5,16]],"date-time":"2021-05-16T12:02:40Z","timestamp":1621166560000},"page":"2337-2377","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Evaluating class and school effects on the joint student achievements in different subjects: a bivariate semiparametric model with random coefficients"],"prefix":"10.1007","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9208-3194","authenticated-orcid":false,"given":"Chiara","family":"Masci","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francesca","family":"Ieva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tommaso","family":"Agasisti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anna Maria","family":"Paganoni","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,16]]},"reference":[{"issue":"1","key":"1107_CR1","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/s10260-016-0363-x","volume":"26","author":"T Agasisti","year":"2017","unstructured":"Agasisti T, Ieva F, Paganoni AM (2017) Heterogeneity, school-effects and the north\/south achievement gap in italian secondary education: evidence from a three-level mixed model. 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