I will look further into your formula when I get a chance and I respect you posting it.If you think it's such a big advantage in the win/loss area that the 1 extra game can potentially bring, then you haven't done the math. It's seriously adding AT BEST 6 or 7 total wins to your conference on the year. AT BEST.
It's not that my mind is set, it's that I've spent way more time on this topic than most people would and none of you ever bring new arguments.
In full disclosure, I once ran computer rankings and had my own SoS formula. So I have put a good bit of effort and know a good bit about the advantages and disadvantage of different SoS formulas.
Which doesn't make a bit of difference because the people I'm arguing with aren't speaking from logic, they are speaking from what they want to believe. You want to believe the extra conference game is some kind of difference maker and it's not. Have you done the math to support your belief? Nope. But because it sounds good - you accept it, and now you are telling me I'm the one set in beliefs. I have done the math.
BCF Toys - 2016 SOS Ratings
That is the one I like to use. Most SoS rankings use averages. Average SoS formulas have a flaw in that it see's playing the #1 team in the country and the #100 team in the country as basically the same as playing the #40 team in the country and the #60 team in the country as being equal. When in reality, you take a top25 team and put them on the schedule vs #1 and the #100 they are much more likely to have a loss than if they played the #40 and #60 teams.
So this method above is based not on average, but on grading the expected number of losses an elite team(or good or average team is also available). It would easily recognize playing the #1/#100 as being much more difficult. Which is why you see a lot of opponents of Alabama, Ohio St, and other top teams up higher than most.
These are also not based on wins and losses. Instead, these are based on advanced stats called the FEI.
BCF Toys - 2016 FEI Ratings
In a nutshell, it measures the strength of teams in order to rate their difficulty in beating. Where as with win/loss records it says all 5-2 teams are equal, this method is able to look at the strength of teams, so it doesn't see 7-0 Alabama as being equal to 7-0 Western Michigan. Win% based SoS formulas however would see those 2 teams as equal.
So this is currently my go to SoS rankings.
Flaws? I'm not sure I would call it a flaw, but there are things that it doesn't take into account and could be improved. That #100 team is REALLY easy, and easier than the #40/#60. And playing teams that you should beat every week, but not by a lot and playing them week after week can take it's toll as well. If I were using that SoS, I would probably measure vs elite teams, vs good teams, vs average teams and vs below average teams and combine them into a final ranking to make up for that. And when I did my rankings, I kept track of bye weeks and how long teams had gone without one vs the other team etc. This doesn't do that.
I would say those things are pretty minor and the "flaws" really apply more to the bottom side of the list rather than the top.
A couple things you got wrong about me. I am not telling you my method is right. In fact, I said above that I don't believe there is one method as I like to look at them all as each tell different stories. I do believe the one game for a majority of the conference does make a bit of a difference. I don't believe it tells the entire story like I said above as well.
Regardless, I personally believe that you call the number of P5 opponents irrelevant and not a big deal because it doesn't support your logic. I don't think it's the end of the world either, but I also won't pretend it's irrelevant. I am not out to get anybody, I just call it the way I see it. Since this is coming from the same guy who told me as a fan he would rather play a cream puff than another SEC East opponent and that he didn't notice a difference with more conference games, I guess we just won't see eye to eye. That's fine. I will respect your formula and take a look at it when I get a chance though...