In the simulated dataset 2, each subject has 10 to 20 measurement values from the new method and 10 to 20 measurement values from the reference method. Compared to the reference method, the new method has differential bias of 4 and proportional bias of 0.8. Variance of the new method is smaller than that for the reference method.
data2data2
An object of class data.frame with 1680 rows and 3 columns
A data frame with 3 variables:
ididentification number for subjects
y1values from the new measuremment method
y2values from the reference method
Dataset 1 was created based on the following equations: $$y_{1i}=4+0.8x_i+\varepsilon_{1i},\quad \varepsilon_{1i} \mid x_i \sim N(0,(0.2x_i)^2)$$ $$y_{2i}=x_i+\varepsilon_{2i},\quad \varepsilon_{2i} \mid x_i \sim N(0,(1.75+0.08x_i)^2)$$ $$x_i\sim Uniform[20-100]$$
for \(i=1,\ldots,100\) and the number of repeated measurements for each subject \(i\) from the reference standard was \(n_{2i} \sim Uniform[10,20]\) and \(n_{1i} \sim Uniform[10,20]\) for the new measurement method.