The Intensity index has been suggested by Bannister (1960) as a
measure of the amount of construct linkage. Bannister suggested
that the score reflects the degree of organization of the construct
system under investigation (Bannister & Mair, 1968). The index
resulted from his and his colleagues work on construction systems
of patient suffering schizophrenic thought disorder. The concept of
intensity has a theoretical connection to the notion of "tight" and
"loose" construing as proposed by Kelly (1991). While tight constructs
lead to unvarying prediction, loose constructs allow for varying
predictions. Bannister hypothesized that schizophrenic thought disorder
is liked to a process of extremely loose construing leading to a loss
of predictive power of the subject's construct system. The Intensity
score as a structural measure is thought to reflect this type of
system disintegration (Bannister, 1960).
Implementation as in the Gridcor programme and explained on the
correspoding help pages:
"… the sum of the squared values of the correlations
of each construct with the rest of the constructs, averaged by the total
number of constructs minus one. This process is repeated with each
element, and the overall Intensity is calculated by averaging the
intensity scores of constructs and elements."
http://www.terapiacognitiva.net/record/pag/man11.htm.
Currently the total is calculated as the unweighted average of all
single scores (for elements and construct).