Alright, the Data is in.
First and foremost, Overall there were definitely less streaks than gathered data before weighted dice. While documenting combat rolls Advantage and Disadvantage started to centralize very early for the player and enemies in combat. They both match what we would expect from Advantage and Disadvantage. Normal attack rolls for the player and enemy had an interesting story.
The DataNormal attack rolls (Player)Sample size (508)
Average (25.40)
Standard Deviation (4.37)
Advantage & Disadvantage (Player)Sample: Advantage (235) Disadvantage (217)
When tracking true random, I only had one number exceed two standard deviations and that was a smaller sample, this time both six and ten are beyond two standard deviations.
Frequencies of 17-34 would be normal and the sample had 16 sixes and 35 tens. Maybe as the sample size grows these might fall into normal, but each encounter it stood out that 6's were rare and 10's were common.
This is in contrast to Normal Enemy Rolls, which below are shown to all be within the expected range. With that sample's standard deviation, frequencies of 3-12 would be normal. No roll in the enemy sample has a frequency above or below those thresholds.
So, my conclusion on weighted dice is that yes they did reduce streaks, and the player might have a reduced chance to roll a six with an increased chance of a ten. I'm really looking forward to seeing what other samples show. Did other players experience the same?
Normal attack rolls (Enemy)Sample size (146)
Average (7.30)
Standard Deviation (2.43)
Advantage & Disadvantage (Enemy)Sample: Advantage (41) Disadvantage (23)