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Table 2 Compressed expression of Table 1

From: Symmetrical treatment of “Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition”, for major depressive disorders

Count   State Row/Session   Abbreviation Episode
3 × A[110110101] (4,7,10) (mod 2) 3∙A110110101 (4,7,10) 3
2 × A[011100001] (5,9) (mod 2) 2∙A011100001 (5,9) 0
2 × A[010010011] (2,8) (mod 2) 2∙A010010011 (2,8) 0
1 × A[111011011] (1) (mod 2) A111011011 (1) 1
1 × A[111011001] (6) (mod 2) A111011001 (6) 1
1 × A[000100010] (3) (mod 2) A000100010 (3) 0
  Sum[5|9|4|6|7|2|3|4|9] (non-modular)      5
  Mean[0.5|0.9|0.4|0.6|0.7|0.2|0.3|0.4|0.9] (non-modular)      0.5
  1. The second column from the right gives the compressed forms of the model, which can be used independently; here the rows in Table 1 that have the same series of numerals are simplified as a single row. The numerals immediately before ‘A×××××××××’ are the counts of patients who have the same series of assessments, and the rows are arranged in the descending order of the counts. For the same number of counts, assessments are listed in descending order of their base-2 notation (e.g., 110110101). The numerals in parentheses (e.g., (5,9)) indicate the original row numbers in Table 1. The diagnosis of whether the patient meets Criterion A of a ‘major depressive episode’ (denoted 1) or not denoted 0) is given in the extreme right column. In the table, the number of rows does not exceed 2×9, according to the characteristics of the group/ring/field Z2 ×9