{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T20:46:28Z","timestamp":1786999588433,"version":"build-2736575974"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2002,5,16]],"date-time":"2002-05-16T00:00:00Z","timestamp":1021507200000},"content-version":"unspecified","delay-in-days":45,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2002,4]]},"abstract":"<jats:p>Standard methods for analyzing linear-latent variable models \nrely on the assumption that the observed variables are normally \ndistributed. Normality allows statistical inferences to be carried \nout based solely on the first-and second-order moments. In general, \ninferences for nonnormally distributed data require the estimates \nof matrices of third-and fourth-order moments. In the present \npaper, we show that inferences based on normal theory retain \nvalidity and asymptotic efficiency under general assumptions \nthat allow for considerable departure from normality. In \nparticular, we obtain conditions under which correct asymptotic \ninferences are attained when replacing a matrix of higher order \nmoments by a matrix that depends only on cross-product moments \nof the data.<\/jats:p>","DOI":"10.1017\/s0266466602182041","type":"journal-article","created":{"date-parts":[[2002,11,14]],"date-time":"2002-11-14T17:01:57Z","timestamp":1037293317000},"page":"297-312","source":"Crossref","is-referenced-by-count":54,"title":["ASYMPTOTIC ROBUSTNESS IN MULTIPLE GROUP LINEAR-LATENT VARIABLE \nMODELS"],"prefix":"10.1017","volume":"18","author":[{"given":"Albert","family":"Satorra","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2002,5,16]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466602182041","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,7]],"date-time":"2019-04-07T16:33:05Z","timestamp":1554654785000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466602182041\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,4]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,4]]}},"alternative-id":["S0266466602182041"],"URL":"https:\/\/doi.org\/10.1017\/s0266466602182041","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,4]]}}}