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Interpolation and smoothing functions in R
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| # Generate data in the form of a sine wave | |
| set.seed(1) | |
| n <- 1e3 | |
| dat <- data.frame( | |
| x = 1:n, | |
| y = sin(seq(0, 5*pi, length.out = n)) + rnorm(n=n, mean = 0, sd=0.1) | |
| ) | |
| approxData <- data.frame( | |
| with(dat, | |
| approx(x, y, xout = seq(1, n, by = 10), method = "linear") | |
| ), | |
| method = "approx()" | |
| ) | |
| splineData <- data.frame( | |
| with(dat, | |
| spline(x, y, xout = seq(1, n, by = 10)) | |
| ), | |
| method = "spline()" | |
| ) | |
| smoothData <- data.frame( | |
| x = 1:n, | |
| y = as.vector(smooth(dat$y)), | |
| method = "smooth()" | |
| ) | |
| loessData <- data.frame( | |
| x = 1:n, | |
| y = predict(loess(y~x, dat, span = 0.1)), | |
| method = "loess()" | |
| ) | |
| library(ggplot2) | |
| ggplot(rbind(approxData, splineData, smoothData, loessData), aes(x, y)) + | |
| geom_point(dat = dat, aes(x, y), alpha = 0.2, col = "red") + | |
| geom_line(col = "blue") + | |
| facet_wrap(~method) + | |
| ggtitle("Interpolation and smoothing functions in R") + | |
| theme_bw(16) |
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