Theorems derived from the Theory of Signal Detectability are applied t
o the group decision problem. These theorems specify the behavior of t
he Ideal Group-the group having the highest achievable detection perfo
rmance given an array of members with specified individual indices of
detectability. Equations are provided for relating group performance t
o (1) the size of the group, (2) the detectability indices of the indi
vidual members, and (3) the correlation between member observations of
the stimulus. The efficiency of real groups, such as juries and commi
ttees, is briefly discussed. (C) 1994 Academic Press, Inc.