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CPS2027 Olayan A. et al.
                  models were used to create a prediction model for incidence of offending in
                  the  development  and  validation  dataset.  We  first  analysed  the  univariate
                  associations  between  the  independent  variables  and  criminal  convictions.
                  Backward elimination was then used to reach the final multivariate model, in
                  which  factors  with  the  largest  p  value  were  sequentially  deleted  until  only
                  significant predictors remained (p <0.05). We then created a weighted scoring
                  system by rounding all regression coefficients up to the nearest integer (i.e.,
                  the smallest integer greater than the estimate). This method was based on the
                  β-coefficients [or log of the Hazard Ratios (HRs)] rather than HRs rather than
                  HRs  and  is  considered  to  be  a  more  robust  estimate.[2,  12,  13]  After  we
                  identified the final gender specific models, we created integer weights for each
                  variable by multiplying the β-coefficients by 10. These integer-weights were
                  added to create the final scores for each individual. The discriminate power of
                  the variables was assessed using the standard statistical techniques such as
                  area  under  the  receiving  operating  curve  (AUC);  while  the  diagnostic
                  characteristics  of  various  cut-points  were  evaluated  using  sensitivity  and
                  specificity  in  both  datasets  (i.e.  development  and  derivation).  The  primary
                  objective of this analysis was to investigate the accuracy and discriminative
                  power of the models for the combination of the risk  factors that we have
                  included in the model. In an additional analysis, subject-specific scores were
                  split into quintiles [1st to 5th].  Crude incidence rates (95% CIs) were calculated
                  across  the  quintiles  of  the  risk  scores  calculated  separately  for  the
                  development  and  validation  datasets.  HRs  were  also  presented  across  the
                  increasing quintiles of the scores.

                  3.  Result
                      A  total  of  7,743  individuals  were  included  in  the  study.  Table  1  below
                  summarises the characteristics of the study population. The development and
                  validation datasets randomly selected included 5162 (67%) and 2,581 (33%),
                  respectively. There was comparable regarding to group, age group at the first
                  offence, gender, indigenous status, married status, country of birth, psychosis
                  type, the status of contact with mental health service after the first offence,
                  SEFIA and the type of the first offence.










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