THE AMOUNT OF TRANSMITTED INFORMATION IN CONFUSION MATRIX

• Published in: Japanese Psychological Research Vol. 11; no. 1; pp. 1 - 12
• Main Authors: INDOW, TAROW, SONO, SAKIKO
• Format: Journal Article
• Language: English
• Published: Tokyo The Japanese Psychological Association 01.01.1969; Japanese Psychological Association
• ISSN: 0021-5368; 1468-5884
• DOI: 10.4992/psycholres1954.11.1

The amount of transmitted information Ht is frequently used as an index for confusability in a confusion matrix. However, the value of Ht is not only determined by the degree of being less confused but also is a function of the size of confusion matrix. Larger, the number of rows and/or columns, larger the value of Ht, which makes difficult to make comparisons in terms of Ht of confusability among confusion matrices of different size. Two examples are shown from empirical investigations to make the problem clear. Some mathematical analysis was made about the change in value of Ht when a confusion matrix is reduced or extended in size. The possible range for the change was shown and it was suggested to take into account the range when Ht is used as an index. Relation between the change of Ht and the interaction information in cases of confusion matrix according to factorial design was also discussed.