[1] The goal of a Boolean analysis is to detect deterministic dependencies between the items of a questionnaire or similar data-structures in observed response patterns.
See, for example, Buggenhaut and Degreef (1987), Duquenne (1987), item tree analysis Leeuwe (1974), Schrepp (1999), or Theuns (1998).
Methods of Boolean analysis are used in a number of social science studies to get insight into the structure of dichotomous data.
Bart and Krus (1973) use, for example, Boolean analysis to establish a hierarchical order on items that describe socially unaccepted behavior.
Janssens (1999) used a method of Boolean analysis to investigate the integration process of minorities into the value system of the dominant culture.
Similar to knowledge space theory this approach concentrates on the formal description and visualization of existing dependencies.
Formal concept analysis offers very effective ways to construct such dependencies from data, with a focus on if-then expressions ("implications").
It is, for example in a marketing scenario, of interest to find implications which are true for more than x% of the rows in the data set.