Tince
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I think the more interesting and relevant breakdown is would be the following:
That might give better insight on if the coach was the issue or maybe it's a bigger issue with the franchise. I'm going to guess that these franchises rarely, if ever won a championship after moving on for the coach of 9+ years.
- Find the list of the coaches who have been on one team for 9+ years without winning a championship (I know it's here somewhere)
- Compare that coaches success with the coach who replaced him
- Determine how many titles that franchise won in the next 9 years.
This was far easier to compile than I thought. Here's what I found:

Of the 5 pervious coaches who coach for a team 10 years and did not win a title
- Decreased losing percentage of 10% (8+ wins a year)
- A new coach followed every nearly once every 2.5 years - instability
- 0 Championships and 1 Final appearance in 50 seasons.