EXPERIMENTAL PROCEDURES FOR RATING PERSONNEL WERE INVESTIGATED AS USED IN RESEARCH GENERALLY AND FOR USE IN THE EVALUATION OF TEACHERS. HISTORICAL PROBLEMS AND DEVELOPMENTS IN RATING TECHNIQUES WERE PRESENTED AND COMPARED WITH RANKING TECHNIQUES. STATISTICAL TECHNIQUES FOR ANALYSIS OF RATINGS WERE DETAILED AND RELATED TO VARIOUS TYPES OF RATING ERRORS. A MATHEMATICAL AND STATISTICAL APPARATUS USING A TWO-DIMENSIONAL ARRAY WAS DEPICTED TO ESTIMATE AND ISOLATE RATER BIASES, USING A TECHNIQUE WHICH INTERRELATED THE CONCEPTS OF AVERAGE INTERCORRELATION AND HYPOTHESIS TESTING VIA THE ANALYSIS OF VARIANCE PARTITIONING OF SOURCES OF VARIATION. THEOREMS WERE DEVELOPED EXTENDING THOSE CONCEPTS TO A N-DIMENSIONAL THEORY. THESE THEOREMS WERE APPLIED TO A FOUR-DIMENSIONAL CASE AND COMPLETE FORMULAS WERE SHOWN FOR CALCULATION OF AVERAGE VARIANCES AND COVARIANCES. FORMULAS FOR A PARTIAL NUMBER OF THESE VARIANCES AND COVARIANCES WERE ALSO GIVEN FOR A FIVE-DIMENSIONAL CASE. THE PROBLEMS INVOLVED IN RATING TEACHERS WERE DISCUSSED WITH PARTICULAR ATTENTION TO THE UNIQUE ASPECTS OF RATING TECHNIQUES. A STATISTICAL MODEL FOR TEACHER-RATING SCHEMES WAS DETAILED AND RELATED TO MODELS FORMULATED FOR OTHER APPLICATIONS. (JM)