I agree with @Countryboyjvd1971. I, myself, have grown with both. My final conclusion was to combine the two. Although if forced into a position, I would argue that HID will give you a better, heavier grow. Mostly due to PAR.
My first grows were HID, then the heat and electric bill forced me into LED. I never had heavy yields under LED. Don’t get me wrong - I had good yields, just not as heavy as under my 600w HID. I was running 1000w LED.
So, I combine them now to save on electricity. I use a 250w MH for vegging, then I switch the lamp to the HPS bulb and throw a 300w 9 band LED when in flower. My plants are very happy and I’m very happy with the results. Costs me around $15 a month to run @ 10c per kwh.