In the simulated dataset 1, each subject has 1 measurement value from the new method and 10 to 15 measurement values from the reference method. Compared to the reference method, the new method has differential bias of -4 and proportional bias of 1.2. Variance of the new method is smaller than that for the reference method.
data1An object of class data.frame with 1255 rows and 3 columns.
A data frame with three variables:
ididentification number for subjects
y1values from the new measurement method
y2values from the reference measurement method
Dataset 1 was created based on the following equations: $$y_{1i}=-4+1.2x_i+\varepsilon_{1i}, \varepsilon_{1i} \mid x_i \sim N(0,(1+0.1x_i)^2)$$ $$y_{2ij}=x_i+\varepsilon_{2ij},\varepsilon_{2ij} \mid x_i\sim N(0,(2+0.2x_i)^2)$$ $$x_i\sim Uniform[10-40]$$
for \(i = 1, 2, \ldots, 100\), \(j=1,2,\ldots,n_{2i}\) and the number of repeated measurements for each subject \(i\) from the reference standard was \(n_{2i} \sim Uniform[10-15]\).