The intra-individual distribution of errors in simple, monotonous, and repetitive tasks can be theoretically described by the Poisson distribution, since the occurrence of error in each
S, being a rare and random probability event, will be the Bernoullian stochastic process. Moreover, the previous observations tell that the combined error distribution of a group of
Ss fits very closely the Pólya-Eggenberger distribution. Then, the inter-individual distribution should be the Gamma distribution. 12
Ss were asked to add pairs of numbers in sequence as precisely and as quickly as possible, in a manner similar to the Uchida-Kraepelin test. The results indicate that the occurrence of errors in each
S obeys the Poisson distribution, and the combined distribution is in fact the Pólya-Eggenberger distribution.
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