[118] De Sanctis: Zeitschrift f. Psy. u. Physiol. d. Sinnesorg., vol. 17, p. 205.
[119] Münsterberg: Willkürliche und unwillkürliche Vorstellungsverbindung, Beiträge zur experimentellen Psychologie, vol. 1, pp. 64-188.
[120] Wundt: Physiol. Psy., 5th ed., vol. 3, p. 351.
[121] Wirth: Zur Theorie des Bewusstseinsumfanges und seiner Messung, Philos. Studien, vol. 20, p. 487, 1902.
[122] Münsterberg: Grundzüge der Psychologie, vol. 1, p. 525.
[125] Science, N.S., vol. 19, pp. 708-709, 1904.
[126] E. Mach (Analyse der Empfindungen, 1900, p. 161) thinks that his physiological time-unit has become larger with age. And he has also noted that the time-sense differs in animals of the same species which differ in size.
[127] The unbracketed number is that for the males, the bracketed that for the females.
[128] It may be asked in connection with the above statistics, what is the probability that even and uneven digits have unequal chances of occurrence? The analytic treatment of this problem indicates that the probability is ½[1+φ(4.25)] = 0.99999999891 for the males and ½[1+φ(15.93)] for the females. It is therefore almost certain, theoretically, that even and uneven numbers have not the same frequency. See Czuber, Wahrscheinlichkeitsrechnung, 1903, pp. 158-161. The constants of this problem are in Czuber's denotation, a = 52.308 and b = 222.
[129] The judgments might be grouped in 10 second classes beginning with the lowest number in the experiments, but this would have the disadvantage of rendering the distribution tables or curves for different groups of judgments incomparable.