The sensitivity of the results to the initial conditions as provided by the SEM was then tested through different initial allocations of individuals at the first iteration with the CEM algorithm.
Like later work by Quandt (1972), Gronau (1974) and Heckman (1974 , 1976, he adds to the models of potential outcomes in the statistical literature a choice mechanism determining allocations of individuals across sectors (Heckman, 2008 for discussion of the contribution of economists to the Neyman Fisher Rubin literature on potential outcomes).
Using the complementarity of the data sets applied, we resolved multiple, strong disagreements over the number of species, ranging from four to ten, and the allocation of individuals to species.
My point is simply that there is no clear distinction between these two states, and that the allocation of individuals to UI and DI therefore to a large extent depends on the characteristics of the social insurance institutions.
The proposed method consists of four major steps: (1) data pre-processing, (2) initial allocation through spatially constrained cluster analysis, (3) spatial aggregation and peripheral re-allocation of individuals, and (4) an optional hierarchical or non-hierarchical classification to summarize individual patches in few classes.
We also add a series of dummies identifying the occupational profiles reported by individuals when they applied to become eligible for the ICS program.24 All of the above variables represent the pre-treatment socio-demographic characteristics that are supposed to influence the allocation of individuals across the two groups.
In addition, the random allocation of individuals to the two different combined treatment sequences (Arm A and Arm B) will allow us to understand the benefits of the sequential administration of CBT-I and PAP relative to concurrent treatment of PAP and CBT-I.
The allocation of individuals to existing households was influenced by 'proximity' of households.
To ensure equal allocation of individuals from each stratum (epsem scheme), the sampling fraction was considered.
Without concealment of allocation, investigators can influence the allocation of individuals into the treatment groups, invalidating the randomization.
That there was perfect reproducibility of results (number of clusters, allocation of individuals to clusters, classification probability) is reassuring.
