easy: An example with M=5 (basis functions) and r=3 (non-zero eigenvalues)
Description
A simulated dataset as an example which corresponds to the "easy" case in the paperFormat
easy is a list with six components (in the given order):
- data
- data matrix with three columns: column 1--ID, column 2--measurement, column 3--time.
- eigenfunctions
- true eigenfunctions: generated from cubic Bsplines with M=5 equally spaced knots.
- eigenvalues
- true eigenvalues: first--1, second--0.66, third--0.52, others--zero.
- number_of_basis
- true number of basis functions: M=5.
- dimension
- true dimension of the process: r=3.
- error_sd
- true error standard deviation: 0.25.
Details
mean curve of the process is zero; principal component scores and errors are all i.i.d N(0,1); there are 200 subjects, and each has
2~10 measurements uniformly distributed on [0,1]; in total there are 1227 measurements