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CPS1108 Collins O. et al.
                                               
                                     ̂
                                                                  
                  ( ) =  + ∑  ∅(Λ −  ) + ∑  ∅(Λ −  ) +  γ
                      
                                                                    t
                                                     
                                    
                           0
                               =1              =1

                  Where              is  a  link  function  and           is  a  transformation
                                                                T
                  function. The parameter vector η = (η1, η2, …, ηr)  corresponds to the effects of
                  covariates.  To  allow  for  regression  on  arbitrary  past  observations  of  the
                  response, define a set P = {i1,  i2, …, ip}and integers 0 < i1 < i2 < … , with Pϵ .
                  This formulation is useful particularly when dealing with modeling stochastic
                  seasonality.    Estimation  and  inference  is  derived  by  quasi  conditional
                  maximum likelihood.

                  3.  Result
                      Ante-Partum Haemorrhage
                      An antepartum haemorrhage (APH) refers to bleeding from the vagina that
                  occurs after the 20th week of pregnancy and before child-birth. The common
                  causes of bleeding during pregnancy are cervical ectropion, vaginal infection,
                  placental edge bleed, placenta praevia or placental abruption Cervix.
                   Count GLM for APH with SE and CI (level = 95 %) obtained by normal
                   approximation. Link function is log and distribution family is negative binomial.
                   The Log-likelihood value is -255. Score test on intervention(s) of given type at
                   given time is has p-value of < 0. Over dispersion coefficient σ was estimated to
                                                                         2
                   be 0.018
                   Coefficient    Estimate      Std. Error     CI(Lower)      CI(Upper)
                   (Intercept)    3.033         0.6676         1.724          4.3412
                   Β1            0.367          0.139          0.095          0.6398
                   Intervention1   -0.189       0.0555         -0.298         -0.0805
                   (BeMOnC)
                   Intervention2   0.162        0.1653         -0.162         0.4858
                   (CeMOnC)
                   σ             0.017          N/A            N/A            N/A
                    2

                      Eclamsia
                      Refers to severe complication where high blood pressure results in seizures
                  during pregnancy. Seizures are periods of disturbed brain  activity that can
                  cause episodes of staring, decreased alertness, and convulsions.
                          Count GLM for Eclamsia with SE and CI (level = 95 %) obtained by normal
                   approximation. Link function is log and distribution family is negative binomial.
                   The Log-likelihood value is -291.
                   Overdispersion coefficient σ  was estimated to be 0.0622
                                            2
                   Coefficient    Estimate      Std. Error     CI(Lower)      CI(Upper)
                   (Intercept)    3.6577        0.5855         2.51           4.8053


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