The formulation presented will allow inference to perform a series of studies. In our work we associate with the series of studies levels of a factor or to combinations of level of several factors. We performed transversal analysis when investigating the action of the factor or factors on simultaneous studies and for the whole series. Furthermore, longitudinal analysis performed when investigating the action on the development of the series.
The structured stair nesting model was proposed by [4] and it was introduced according with a step by step approach. The purpose of this work is to show that structured stair nesting models can be analyzed with a diferent approach, which we call global approach. We also show that, the two approaches, although originating different algebraic structures, allow to obtain the same estimators for the variance components. To express the algebraic structure of these model we will use commutative Jordan algebras.
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