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The likely extent of false links among achieved links depends on the two event rates, the match rate and population size.
Using statistical theory, this paper focuses on estimating the extent of false links, and therefore also of true links, among achieved matches due to the non-uniqueness of demographic data.
The authors develop a statistical model for examining the likely prevalence of false matches, and consequently the number of true matches, among achieved matches when using anonymous event-based record linkage to identify transition events.
Assuming accurate recording of linkage data, the number of false matches among achieved matches can be estimated by considering the probability of a match between a hospital separation and a residential aged care entry purely by chance due to the distribution of birth dates.
Theoretical analysis shows that for event-based matching the prevalence of false matches among achieved matches (a) declines as the events of interest become rarer, (b) declines as the number of matches increases, and (c) increases with the size of the population within which matching is taking place.
These rates place this scenario just above the lowest line (entry event rate of 0.1 per 1,000) on Figure 2. The graphs show clearly that by using some basic information about the transitions, it is possible to measure the likely extent of false matches among achieved matches, and thereby to gauge whether event-based linkage could provide a useful tool for examining movement.
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Suppose administrators are using a nonlinear model in the formulation of economic policies designed to keep GDP ever increasing while minimizing unemployment (among achieving other socio-economic goals).
Figure 2 Comparison, in terms of distortion, among solutions achieved by DAN, blue bars, k − Means, red bars and spectral clustering, green bars (the lesser the better).
Survival differences among groups achieved statistical significance (P<0.001).
Two patients among those who achieved PR and three patients among those who achieved prolonged disease stabilization had progressive disease at study entry.
Excellent agreement is achieved among the different methodologies.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com