I compare my electric tea kettle to my stove kettle, and apply some simple statistical modeling verifying the electric is faster.
Electric kettles are faster, but I was curious how much faster my electric kettle heated water to high or boiling temperatures than does my stove-top kettle.
So I collected some data and compared them directly, trying out a number of statistical methods (principally: nonparametric & parametric tests of difference, linear & beta regression models, and a Bayesian measurement error model).
My electric kettle is faster than the stove-top kettle (the difference is both statistically-significant p≪0.01 & the posterior probability of difference is P ≈ 1), and the modeling suggests time to boil is largely predictable from a combination of volume, end-temperature, and kettle type.