Leaving computers running, or turning them off

I often see questions asking whether it's really better to leave a computer running all the time, or turn them off.  The answer is, “it depends.”  There's several factors involved:

After running various personal computers over several years, with some of them left on all the time, some most of the time, some only as used, I've come to the following conclusions:

Over the years, I've had to deal with the following significant failures, in addition to what's written above: