mrfDepth (version 1.0.17)

tablets: Near Infrared Spectroscopy responses for a batch of pills

Description

The original data set consists of Near Infrared Spectroscopy (NIR) data of a batch of pills with different levels of the active compound. This data set considers 70 observations weighing 90 mg and 20 observations weighing 250 mg and also differ in the amount of active compound.

The data correspond to the form discussed in Hubert et al. (2015), see below.

Usage

data(tablets)

Format

A three dimensional \(t = 404\) by \(n = 90\) by \(p = 3\) array, with \(t\) the number of observed time points, \(n\) the number of functional observations and \(p\) the number of measurements for every functional observation at every wavelength.

Details

For each wavelength and each curve, a three-dimensional vector of observations is available. The second coordinate corresponds to the original data, the first coordinate corresponds to the mean of the corresponding curve. The last component corresponds to the derivative of the original curve data.

When using this data, please cite both of the references listed below.

References

Hubert M., Rousseeuw P.J., Segaert P. (2015). Multivariate functional outlier detection (with rejoinder). Statistical Methods & Applications, 24, 177--202.

Examples

data(tablets)
par(mfrow = c(3,1))
matplot(tablets[,,1], type = "l", lty = 1, col = "black")
matplot(tablets[,,2], type = "l", lty = 1, col = "black")
matplot(tablets[,,3], type = "l", lty = 1, col = "black")
par(mfrow = c(1,1))