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# We choose a Statistical Unit which we will observe directly. Multiple observations of the same unit over time is called Longitudinal Research . Observations of a variety of Statistical Attributes is a common way of studying relationships among the attributes of a single unit.
# We may really be interested in a Statistical Population (or Set ) of similar units rather than in any statistical unit per se. Survey Sampling offers an example of this type of application.
# Our interest may be focused on a Statistical Assembly where we examine functional subunits of the Statistical Unit . Physiology is an example in which we probe the organs which compose the unit. A common model for this type of research is the Stimulus-response Model .

In mathematical terms, a statistical model is frequently thought of as a parametrized set of Probability Distribution s of the form

  :<math>P(A B,H) rac{P(B A,H) P(A H)}{P(B H)}</math>