In the simulated dataset 1, each subject has 1 to 3 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.
data1data1
An object of class data.frame with 1468 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: $$y_{1i}=4+0.8x_i+\varepsilon_{1i},\quad \varepsilon_{1i} \mid x_i \sim N(0,(0.2x_i)^2)$$ $$y_{2i}=x_i+\varepsilon_{2i},\quad \varepsilon_{2i} \mid x_i \sim N(0,(1.75+0.08x_i)^2)$$ $$x_i\sim Uniform[25-45]$$
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 \(n_{1i} \sim Uniform[1,3]\) for the new measurement method.