Nunes, CéliaMário, Anacleto César XavierFerreira, DárioFerreira, Sandra S.Mexia, João T.2020-02-072020-02-072019http://hdl.handle.net/10400.6/9136In this work, we presente a new approach that considers orthogonal mixed models, under situations of stability, when the sample dimensions are not known in advande. In this case, samples are considered realizations of independente rendom variables. We apply this methodology to the case where there is na upper bound for the sample dimensions, which may not be attained since failures may occur. Based on this, we assume that sample sizes are binomially distributed. We consider na application on the incidence of unemployed persons in the European Union to illustrate the proposed methodology. A simulation study is also conduced. The obtained results show the relevance of the proposed approach in avoiding false rejections.engBinomial distributionOrthogonal mixed modelsRandom sample sizesStability situationsUnemployment in European Unionjournal article10.1002/cmm4.1050