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CPS1855 Nobutane H.
            1,2, … ,  +  /5 indicates duration that socioeconomic events take effect after
                        0
            people experience them

            3.  Result
                A summary of fitting the proposed model are indicated in the Table 2. As
            seen from the table the extended age-environment model provides a better
            fit  to  the  data  that  the  age-period-cohort  model  in  terms  of  Akaike's
            Information Criterion (AIC).
               Table 2. Summary of fitting the proposed model to the data on Table 1
             The youngest age-group who are affected by the environment   40-44 years
             The oldest age-group who are affected by the environment     65-69 years
             Duration that exposure to the environment take effect           30 years
             AIC                                                          3324082.66
             Difference of AICs between EAE and APC models                     13.16

               Figure 11 indicate estimated age effect. From the figure we can conclude
            that the risk of breast cancer death does not increase after 55 which is around
            the period of menopause.
                                             Age effect              The risk of breast
                                  0.1
                                                                     cancer death does
                                  0.1                                not increase after 55
                                  0.0                                (menopause)
                                  -0.1
                                  -0.1
                 Most invasive breast   -0.2
                 cancers are found in
                 women aged 55 and
                 older.
                                  Figure 9. Estimates of age effects

               Figure 12 indicates the estimated environment effects. From the figure it is
            suggested that there exist the effects of westernized food culture, low fertility,
            increase of the number of pregnancies over 40 and working women, which are
            discussed by Minami, et al. (2004). In addition it is also suggested that the
            effects of incorporation of mammography to health check for public, which is
            consistent with the conclusion by SAIKA and SOBUE (2009).















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