If Justin Bergman beats
- Darren Appleton in a race to 5 in the Mosconi Cup
- Darren Appleton in a race to 100 for $20,000
- Darren Appleton in a race to 11 winner breaks in the US Open
- Darren Appleton in a weekend tourney, alternate breaks on a bar box race to 7
Do they all count the same?
First, congratulations to Justin on that fine series of performances...
BRussell is right. Other than the time decay factor individual games are given the same weight. This likely won't always be the case. Basically there is a tradoff between refined information and statistically significance. Right now that balance is shifted in the direction of needing statistical overall significance.
Here is SVB's record against a couple opponents:
Against Corey:
22 to 19 on 7' table (53.6%)
95 to 83 on 9' table (53.4%)
Against Jeremy Sossei
24 to 17 on 7' table (58.5%)
38 to 25 on 9' table (60.3%)
These numbers are kind of small, but it is looking from this like Corey is a little better player than Jeremy and that Shane is better than both. We can more or less draw at least tentatively that same conclusion from just the 7-foot results or just the 9-foot results.
But with the results combined we gain more confidence. That confidence comes at the expense of washing out the real subtle differences between how these players play on 7-foot or 9-foot tables. Those subtle differences are small though, and for now we have good reason to ignore all the implied distinctions in the question.