BASED ON A NATIONAL RANDOM PROBABILITY SAMPLE OF 180 SCHOOL DISTRICTS WITH 150 OR MORE PUPILS, DRAWN BY THE BUREAU OF THE CENSUS, FOUR CRITERION VARIABLES WERE DEFINED AS INDICES OF SCHOOL-COMMUNITY RELATIONS--(1) UNDERSTANDING, THE DEGREE TO WHICH INFORMED OBSERVERS SIMILARLY PERCEIVE SCHOOL-COMMUNITY RELATIONSHIPS, (2) QUIESCENCE, THE DEGREE TO WHICH CONTROVERSY AND CONFLICT ARE LACKING IN A SCHOOL DISTRICT, (3) ACQUIESCENCE, THE DEGREE TO WHICH VOTERS VIEW SCHOOL FINANCIAL ISSUES FAVORABLY, AND (4) PARTICIPATION, THE DEGREE TO WHICH VOTERS EXERCISE THEIR RIGHT OF REVIEW BY VOTING. FROM AN ANALYSIS OF SCHOOL RECORDS, CENSUS DATA, AND QUESTIONNAIRE RESPONSES FROM KEY MEMBERS OF THE SCHOOL STRUCTURE AND THE COMMUNITY, 256 SECONDARY VARIABLES WERE IDENTIFIED. DEVELOPING THE STRUCTURAL OUTLINES OF THESE FOUR MAJOR AND 256 MINOR VARIABLES (VOLUME 3), THIS SUBSEQUENT ANALYSIS FOCUSED ON THE NATURE OF THE INTERACTION PROCESS BETWEEN SCHOOLS AND THEIR COMMUNITIES. EMPLOYING STANDARD STATISTICAL MEASUREMENT TECHNIQUES, INCLUDING FACTOR ANALYSIS, CORRELATIONS AMONG THE FOUR CRITERION VARIABLES WERE DETERMINED, AS WELL AS CORRELATIONS OF THE MINOR VARIABLES WITH EACH OF THE CRITERION VARIABLES. A SET OF THE 10 MOST FUNCTIONALLY RELATED MINOR VARIABLES WAS IDENTIFIED FOR EACH OF THE FOUR CRITERION VARIABLES. FROM THE STUDY'S FINDINGS, SUGGESTIONS WERE FORMULATED FOR EFFECTIVELY UTILIZING DETERMINED PATTERNS OF SUPPORT AND NONSUPPORT. THIS IS PART IV OF A SERIES. RELATED DOCUMENTS INCLUDE EA 001 091, EA 001 092, EA 001 093, AND EA 001 095. (JK)