Just for the record, ANR isn't made to reduce the sound of kids whining, etc. It's made to reduce repetitive low-frequency noise by analyzing a sample of the noise and generating the same waveform 180 degrees out of phase, so that noises like kids whining, etc, comes through clearer while the repetitive low-frequency (do you like how I did that?) noise is phase-cancelled out.
That said, there has been recent research that suggests, and I believe there's a possibility, that ANR doesn't itself prevent hearing damage. The passive noise reduction value of the headset still does, of course. I don't have a reference, so don't take that as a fact without looking it up yourself. (But the first part is)
~Foxy