Dynamical Systems Theory in Quantitative Psychology and Cognitive Science: A Fair Discrimination between Deterministic and Statistical Counterparts is Required.

The present communication addresses a set of observations, obeying both deterministic as well as statistical formal requirements, and serving to operate within the framework of the dynamical systems theory, with a certain emphasis placed on initial data. It is argued that statistical approaches can manifest themselves non unequivocally, leading to certain virtual discrepancies in psychological and/or cognitive data analyses, termed sometimes in literature as, questionable research practices. This communication points to the demand for a deep awareness of the data origins, which can indicate whether the exponential (Malthus type) or the algebraic (Pareto type) statistical distribution ought to be effectively considered in practical interpretation. This is also related to the question of how frequently patients behave in a specific way, and the significance of these behaviors in determining a patient's progression or regression, involving a certain memory effect. In this perspective, it is discussed how a sensitively applied hazardous or triggering factor can be helpful for well-controlled psychological strategic treatments, also those attributable to obsessive/compulsive disorders or even self-injurious behaviors, with their both criticality and complexity exploiting relations between a therapist and a patient.