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Table 4 The estimated transition rates dij from stage i to stage j of the ODE model. The stages unmotivated, indecisive, motivated and former smokers are represented by 1–4, respectively

From: Effectiveness of motivational interviewing, health education and brief advice in a population of smokers who are not ready to quit

  unmotivated (1) ↔indecisive (2) motivated (3)↔ indecisive (2)
  d 12 d 21 difference d 32 d 23 difference
BA 3657 2695 962 0.9938 0.0003 0.9935
MI 55.752 37.555 18.1970 13.532 19.135 −5.6030
HE 1.1698 0 1.1698 0 0.6286 −0.6286
  motivated (3) ↔unmotivated (1) transition rate to former (4)
  d 31 d 13 difference d 14 d 24 d 34
BA 0.0003 0.5216 −0.5213 0.00004 0.000006 0.8581
MI 25.941 21.725 4.2160 0.0329 0.0722 0.4692
HE 0 0 0 0 0 1.1147
  1. Notes: MI, HE and BA are the abbreviations for Motivational Interviewing, Health Education and Brief Advice, respectively. The sum of the squared errors related to BA, HE and MI were 3.2381 × 10−5, 31.3602 and 2.4501 × 10−5 respectively. The precision of the parameter estimate is up to 8 decimals