206 BANKING STANDARDS TABLE 160 COMPARATIVE MEASURES OF REGRESSION TO TYPE FOR RATIOS OF TOTAL EXPENSE TO EARNING Assers, MEMBER BANKS, BosTON FEDERAL RESERVE DISTRICT, 1922-1925 (Percentage Differences from three different averages.) DIFFERENCES: ALL PAIRS OF YEARS PERCENTAGE DIFFERENCES: (First Year of the Pair of Years) Position Groups Average 40 and over \ 30 and under 4o0 20 and under 30 to and under 20 Sere i aap wom Below Under 10 10 and under 20 20 and under 30 30 and under 40 10 and over Average Yearly Averages Yearly Averages 1 Yearly Averages of All Banks of City-Groups of Volume-Groups I Number Second Second years years less than | Number less than First First vears® years® | Number Second years less than First years® iwi ANE “nb — ag ud $ -n.1 .- a 32 YI1o —1r.§ -n 2 3 -.b jr i 26 ‘x 179 —11.0 — 4.6 — 5.4 - 3.2 _— TT de + . 2 pa + 1.5 + 2.8 + 4.4 + 5.3 + 6.7 41.7 1. < yy 6o¢ 620 + 2.3 641 *The signs relate to the prevailing changes in the ratios themselves compared with the averages in the frst and the second years, minus (—) indicating that the ratios decrease, and plus (+) that they increase, the combined pairs of years, but also for each pair of years when the deviations are taken from the respective yearly averages for all banks. When they are taken from the averages for the respective city groups, it holds for the combined first and second pairs of years for each city group, and when taken from the aver- ages for the respective volume groups, it holds for the combined first and second pairs of years for each volume group. But is uniformity of results in any way related to the use of averages as points of departure in computing deviations? To answer this question we shall dispense with the averages, so far as the calculation of differences from type is concerned, and search for tendencies of regression. The method employed is simple. the steps in carrying it out being as follows: (1) Distribute the ratios for the individual banks in frequency groups for a given year, say 1922. (2) Add the ratios in each group, and divide by the number of ratios, thus securing an 4 See Table 168.