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The present communication addresses a set of observations, obeying bothdeterministic as well as statistical formal requirements, and serving tooperate within the framework of the dynamical systems theory, with a certainemphasis placed on initial data. It is argued that statistical approaches canmanifest themselves non unequivocally, leading to certain virtual discrepanciesin psychological and/or cognitive data analyses, termed sometimes in literatureas, questionable research practices. This communication points to the demandfor a deep awareness of the data origins, which can indicate whether theexponential (Malthus type) or the algebraic (Pareto type) statisticaldistribution ought to be effectively considered in practical interpretation.This is also related to the question of how frequently patients behave in aspecific way, and the significance of these behaviors in determining apatient's progression or regression, involving a certain memory effect. In thisperspective, it is discussed how a sensitively applied hazardous or triggeringfactor can be helpful for well-controlled psychological strategic treatments,also those attributable to obsessive/compulsive disorders or evenself-injurious behaviors, with their both criticality and complexity exploitingrelations between a therapist and a patient.

On Dynamical Systems Theory in Quantitative Psychology and Cognition  Science: A Fair Discrimination Between Deterministic and Statistical  Counterparts Is Required