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Modeling trajectories of long-term care needs at old age: A Japanese-Swedish comparison

                                       was prepared using individual, longitudinal SNAC data for the population part of the
                                       Kungsholmen study (SNAC-K) from the baseline study (2001–2004) and the three-
                                       year follow-up (2004–2007) (Lagergren, 2004). The basic design of the population
                                       part is to survey a sample of persons in the age groups 60, 66, 72, 78, 81, 84, 87, 90,
                                       93, and 96 years. The younger people (aged 60–72 years) are re-examined after six
                                       years, the older (78 years and above) after three years. The data collection is very
                                       broad and involves medical examinations, questionnaires, and interviews concerning
                                       living circumstances, style, disability, provision of informal and formal care, and
                                       physical and mental performance tests. From these data, IADL dependency and
                                       ADL dependency were defined in the same way as in the Japanese study. The IADL
                                       variables of preparing meals, purchasing household items or medication, doing laundry
                                       (not in Japan), doing light household work, and taking a bus or train were used, as
                                       were the ADL variables of taking a bath or shower, dressing, eating, standing up from
                                       a bed or chair, going to the bathroom, and using the toilet.
                                         In the SNAC study, home-related LTC provisions are registered in terms of number
                                       of home-help services provided per week. Four levels were used in the original
                                       analysis (no home help, <2 hours/week, 2–12 hours/week, and >12 hours/week).
                                       For institutional care there were two levels: sheltered housing and nursing home.
                                       However, for reasons of comparability with the Japanese results, where no division
                                       into levels of home-related LTC was possible, the three levels of home help will be
                                       summarized in the presentation of results. Likewise, the two levels of institutional care
                                       will be summarized. Using the SNAC data, a dataset was prepared containing 1,233
                                       observations of men and women from the age groups 78, 81, 84, 87, and 90 years at
                                       baseline (2001–2004) and the same persons three years later at first follow-up (2004–
                                       2007). The data thus contained five age groups for each gender, and for each age-group
                                       fifteen states at baseline (three levels of dependency x five levels of LTC = 15 states).
                                       In the follow-up, death is added as a state.
                                         Transition probabilities were calculated by a series of logistic regression analyses
                                       in both cases. The calculations referred to transitions in three-year time steps. The
                                       first calculation step involved three-year probability of death using age group,
                                       gender, initial dependency (three levels), and initial level of LTC (three levels in the
                                       case of Japan and five levels in the Swedish case) as independent variables. In the
                                       next step, three-year transition probabilities between states of dependency for the
                                       survivors were calculated using multinomial logistic regression analysis and age
                                       group, gender, initial dependency, and initial level of LTC as independent variables.
                                       In the last step, transition probabilities between levels of LTC were calculated, again
                                       using multinomial logistic regression analysis and age group, gender, initial as well as
                                       updated dependency, and initial level of LTC as independent variables. Tables showing
                                       the results of the regression analyses are found in the Appendix.
                                         In this way, transition probabilities between the states, including death, were
                                       calculated for men and women from 78 to 81 years. Then, using the same regression
                                       results, transition probabilities were calculated from 81 to 84, from 84 to 87, from 87
                                       to 90, and finally from 90 to 93 years. By successive multiplication of the resulting
                                       stepwise transition, probability matrices corresponding accumulated matrices for
                                       transition of states from 78 years to 81, 84, 87, 90, and 93 years were calculated.
                                       The calculations were made separately for men and women and were based on the
                                       Markov assumption of independency between time steps (see Section 4: Discussion).
                                       For Sweden, the results were calibrated to agree with national distributions of death,
                                       dependency, and LTC provision in 2003. For Japan, the calibration was made to agree
                                       with the dependency and LTC distributions in wave 4 as no national distributions
                                       were available. Calibration was done by age group and gender for both dependency
                                       and LTC-level distributions. In both cases, the technique was to adjust the intercept
                                       coefficients in the regression analysis in order to achieve a certain distribution of the
                                       target variable. This means that all relations between variables remain the same in
                                       terms of odds ratios—only the levels are adjusted.

            82                                  International Journal of Population Studies   2017, Volume 3, Issue 1
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