Twenty-four male schizophrenics, 12 (SFH) with schizophrenia in the immediate family and 12 (SNFH) with no evidence of schizophrenia in the family background, and 24 male control subjects, 12 highly educated (HEC), and 12 minimally educated (MEC), were assessed for premorbid social adjustment and were administered the Digit Symbol Substitution Test, a size estimation task, and the EEG average evoked response (AER) at different levels of stimulus intensity. As predicted from the stimulus redundancy formulation, the SFH patients were poorer in premorbid adjustment, were less often paranoid, functioned at a lower level of cognitive efficiency (poor digit symbol and greater absolute error on size estimation), were more chronic, and, in some respects, had size estimation indices of minimal scanning. Contrary to prediction, the SFH group had the strongest and most sustained augmenting response on AER, while the SNFH group shifted from an augmenting to a reducing pattern of response. The relationship between an absence of AER reducing and the presence of cognitive impairment in the SFH group was a major focus of discussion.