w2 {MonoPoly}

Simulated w2 data used in Murray et al. (2013)

Description

Simulated data from the function

y_{ij} = 4 \pi - x_i + \cos(x_i - \frac{\pi}{2}) + e_{ij}

for x_i = 0,1, \ldots , 12 ; n_i = 5 for i=0 and n_i=3 otherwise; e_{ij} \sim N(0,0.5^2)

Format

A data frame with 41 observations on the following 2 variables.

y

a numeric vector

x

a numeric vector

Source

Murray, K., Müller, S. and Turlach, B.A. (2013). Revisiting fitting monotone polynomials to data, Computational Statistics 28(5): 1989–2005, doi: 10.1007/s00180-012-0390-5.

Examples

str(w2)
plot(y~x, w2)
monpol(y~x, w2)
monpol(y~x, w2, K=2)