Page:Memory (1913).djvu/127

 {|
 * + 1
 * | A Sum of series (I, III, V)
 * | B Sum of series (II, IV, VI)
 * | &Delta; (B-A)
 * | 467
 * | 790
 * | 323
 * | 544
 * | 666
 * | 122
 * | 662
 * | 704
 * | 42
 * | 548
 * | 668
 * | 120
 * | 523
 * | 539
 * | 16
 * | 475
 * | 657
 * | 182
 * | 612
 * | 753
 * | 141
 * | 853
 * | 548
 * | ―305
 * | 637
 * | 641
 * | 4
 * | 499
 * | 780
 * | 281
 * | m&emsp;582
 * | 675
 * | 93 P.E.$m$=±37
 * }
 * | 641
 * | 4
 * | 499
 * | 780
 * | 281
 * | m&emsp;582
 * | 675
 * | 93 P.E.$m$=±37
 * }
 * | 93 P.E.⇭⇭⇭=±37
 * }

The sum of series II, IV and VI, found by averaging the ten experiments, is here in both cases, as can readily be seen, considerably greater than the sum of series I, III, V. The differences are, to be sure, of very different amounts for the separate experiments, and in one case they have a pronounced negative value; but these fluctuations are represented in the large probable error of the differences of the averages; and, in spite of the size of these errors, the positive character of the differences may be considered as fairly certain.

In all other investigated cases the following result appears: there are large fluctuations of the differences in the individual experiments, but a combination of the several experiments shows a decisive predominance for series II, IV, VI although the surplus is smaller than in the case of the two experiments in question. Thus in the case of 11 earlier tests in which series