A fictitious factor matrix including 16 tests and 3 factors, one of which was a*g* factor, was prescribed. From it two typical factor problems, including errors of sampling, were derived. Students in training, without awareness of the factor patterns, arrived at essentially correct solutions by the use of Thurstone's centroid method with rotation of axes. Errors in the calculated factor matrix were very close in size to the sampling errors in the correlation coefficients. It is concluded that a*g* factor need not escape detection by Thurstone's procedures if the criteria of complete simple structure are not demanded.