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This is accomplished by fitting a dependent Poisson model with a factor structure. To be able to analyze ordinal data, we also consider a truncated Poisson distribution. We try to find the model with the lowest AIC by employing a forward selection procedure. The probability to find the correct model is investigated in a simulation study. Moreover, we heuristically derive the corresponding asymptotic probabilities. An empirical study is also included.<\/jats:p>","DOI":"10.1007\/s00180-020-00960-w","type":"journal-article","created":{"date-parts":[[2020,1,31]],"date-time":"2020-01-31T08:04:12Z","timestamp":1580457852000},"page":"1133-1152","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Discrete factor analysis using a dependent Poisson model"],"prefix":"10.1007","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0336-2974","authenticated-orcid":false,"given":"Rolf","family":"Larsson","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,1,31]]},"reference":[{"key":"960_CR1","doi-asserted-by":"publisher","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"19","author":"H Akaike","year":"1974","unstructured":"Akaike H (1974) A new look at the statistical model identification. 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