I have a vector of simulated data:
data = c(0.47, 0.45, 0.30, 1.15, 0.82, 0.38, 0.51, 1.36, 1.72, 0.36)
I've been adding noise to this by generating random numbers centered at 0 with different standard deviations:
noise = rnorm(10, mean = 0, sd = 0.1) data_wNoise = data + noise
I've been setting the standard deviation arbitrarily (between 0.001 and 1.5). Is there a better way to simulate this by setting a specific signal-to-noise ratio? I don't know anything about the power of the signal in the data.