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In addition, in both models, the confidence interval gets wider as the revisit order increased because the risk set decreased as the order of visit increased.
The confidence intervals of the additive and multiplicative hazards models were similar except the order 4 and get wider as the revisit order increases because the risk set decreased as the revisit order increased.
Our findings suggest that studies using relatively short prevalence periods to exclude pre-existing disease from the incident risk set may overestimate the incidence of the condition because the risk set includes false positive (undetected) prevalent cases.
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The standard errors increase as the order increases because the size of the risk set for the models decreases after each revisit.
It should be noted that censored observations enter into the calculations only because they determine the size of the risk set.
We excluded children who were adopted because information on birth address was missing and those who died in infancy because they were not part of the risk set for development disabilities (n=93; <1%).
For example, for subject 18, because she is RRT-, pr(controls = 9,24|case = 18) is the probability of sampling two RRT+ from the 8 in the risk set.
This is because some men would have been diagnosed early with cancer detected at screening and thus be removed from the risk set.
Because we used risk set sampling of controls, the ORs provided unbiased estimates of incidence rate ratios.
Because risk set sampling was used for our matched case-control pairs, the ORs yielded unbiased estimates of the relative risk (RR), specifically, the rate ratio.
The 138 risk sets (one per eligible case) had 5891 total potential controls (mean=42.7 controls per risk set; range=4 123) who represented 2946 unique patients because controls could appear in multiple risk sets.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com