In considering this table it is apparent that if the high school students were distributed through the various university quintiles on a purely chance basis, and without any reference to their high school records, there would tend to be twenty per cent of each high school quintile in each of the university quintiles. Any percentage higher than this twenty per cent thus indicates some significant relation between the two sets of grades. On the whole there is a close relation indicated. The tendency is clear for those in a given high school quintile to be found in or near the same quintile in their university work. The relation is particularly close in the highest and lowest quintiles. In the intermediate quintiles there is more or less shifting about. In the same way it is possible to classify all students in quintiles during their first high school year, and then to trace their careers through the following three years of high school and four years of college. The following tabulation shows the results when this was done. The figures show the percentage of each quintile in first year high school who were found in the same quintile in the various later years. TABLE 14 SHOWING THE RELATION BETWEEN RECORDS IN THE FIRST HIGH SCHOOL YEAR, AND RECORDS IN SUBSEQUENT YEARS IN HIGH SCHOOL AND COLLEGE (SMITH) --------------------------------------------------------- | High School | University Quintiles|-----------------------|----------------------- | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 ---------+-----+-----+-----+-----+-----+-----+-----+----- First | 100%| 70% | 67% | 67% | 52% | 36% | 43% | 25% Second | 100%| 54% | 33% | 29% | 35% | 33% | 22% | 8% Third | 100%| 41% | 37% | 21% | 35% | 20% | 22% | 21% Fourth | 100%| 29% | 25% | 21% | 48% | 28% | 17% | 25% Fifth | 100%| 50% | 59% | 50% | 45% | 32% | 39% | 38% |-----+-----+-----+-----+-----+-----+-----+----- Averages| 100%| 49% | 44% | 38% | 43% | 30% | 29% | 23% --------------------------------------------------------- Here again, if the subsequent distributions were on a chance basis with respect to the first year high school grades, there would tend to be but twenty per cent in each of the various quintiles. As a matter of fact, the percentages never fall so low as twenty per cent, although in the senior college year they approach very close to this figure.