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  • Electronic Resource  (2)
  • Type 1 diabetes  (1)
  • overdispersion  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Lifetime data analysis 1 (1995), S. 145-156 
    ISSN: 1572-9249
    Keywords: test of homogeneity ; overdispersion ; survival data ; partial likelihood ; counting processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract If follow-up is made for subjects which are grouped into units, such as familial or spatial units then it may be interesting to test whether the groups are homogeneous (or independent for given explanatory variables). The effect of the groups is modelled as random and we consider a frailty proportional hazards model which allows to adjust for explanatory variables. We derive the score test of homogeneity from the marginal partial likelihood and it turns out to be the sum of a pairwise correlation term of martingale residuals and an overdispersion term. In the particular case where the sizes of the groups are equal to one, this statistic can be used for testing overdispersion. The asymptotic variance of this statistic is derived using counting process arguments. An extension to the case of several strata is given. The resulting test is computationally simple; its use is illustrated using both simulated and real data. In addition a decomposition of the score statistic is proposed as a sum of a pairwise correlation term and an overdispersion term. The pairwise correlation term can be used for constructing a statistic more robust to departure from the proportional hazard model, and the overdispesion term for constructing a test of fit of the proportional hazard model.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-0428
    Keywords: Persistent proteinuria ; relative mortality ; prognosis ; Type 1 diabetes ; diabetic complications ; angiopathy ; nephropathy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary We followed 1, 134 patients with Type 1 (insulin-dependent) diabetes, diagnosed between 1933 and 1952, until 1982 or death or until their emigration. Their age at onset of diabetes was under 31 years. Information concerning the development of persistent proteinuria was sought in every case. In 104 cases, the data were either questionable or the patient could not be traced. Twenty-nine patients developed non-diabetic proteinuria. Among the remaining 1,001 patients, 406 developed persistent proteinuria (350 died) and 595 did not (166 died). The incidence of persistent proteinuria was highest among men; it decreased with increasing year of diabetes onset from 1933 to 1952, and decreased with increasing age at onset. The relative mortality was extremely high among patients with persistent proteinuria, increasing to a maximum of about 100 at age 35 years. Patients not developing proteinuria had a relatively constant low relative mortality of about 2. The decreasing incidence of persistent proteinuria and the decreasing mortality with increasing calender year of diabetes onset resulted in a 50% increase in life-expectancy among patients diagnosed in 1950 compared with patients diagnosed in 1935. In patients who developed persistent proteinuria, relative mortality was higher in women than men at all ages. In patients who did not develop proteinuria, relative mortality was similar in men and women after the age of 35. Uraemia was the main cause of death in patients with persistent proteinuria, although cardiovascular deaths were more frequent than in patients without proteinuria. Thus, proteinuria is associated not only with death from uraemia but also from cardiovascular disease. It is concluded that the development of persistent proteinuria is a major life-threatening complication in patients with early-onset Type 1 diabetes. Patients who do not develop proteinuria have almost a normal life expectancy.
    Type of Medium: Electronic Resource
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