It is interesting to think about where the Cajuns' Softball RPI and RPI rank might be, depending on how they finish the season. There are many variables at play and you must choose which ones to hold constant in order to obtain a reasonable gauge. The following represents one approach, with assumptions documented. Once an Adjusted RPI figure is determined, you can then compare against the current Adjusted RPIs as well as last year's Adjusted RPIs at selection time to obtain an idea on ranking.
Assumptions:
I am starting with the Cajuns' WP (.9677) and OWP (.5467) through today's results (Sunday 4/1/12) and the OOWP (.5505) from last week (3/25). Once I have updated figures, I can calculate the new OOWP for 4/1/12.
I do not make any assumptions with respect to how non-conference Cajun opponents will play the remainder of their schedule. IOW, I am assuming the same individual OWPs from each team through NCAA selection time.
I am holding the OOWP constant at .5505.
All remaining games on the schedule are played.
For conference opponents, we know ... 1) How they will perform in games vs. the Cajuns as we are projecting those ... thus we include those results in the projections ... and 2) We know that outside of the games vs. the Cajuns, the other conference members will play .500 ball in aggregate against each other. Thus, I attempt to allocate these wins/losses as evenly as possible. How these games actually transpire in the end does matter (because percentages are calculated for each team ... not in the aggregate), but the difference from the projection should not be too significant.
I do not project any of the remaining non-conference games for the conference members.
I assume the RPI bonuses for the Cajuns are unchanged from this point foreward ... .0156 overall and .0130 for non-conference.
Projection:
The Cajuns have one remaining non-conference game, this Wednesday vs. McNeese State. For projection purposes I am tagging this as a win. This leaves six new (schools currently not participating in the Cajuns' OWP) schools, all conference games. I list all of the remaining games below along with the contributing OWP to the Cajuns' schedule.
McNeese State (.7000) - 1 game
South Alabama (.7188) - 3 games
Florida International (.5000) - 3 games
Middle Tennessee (.4000) - 3 games
Florida Atlantic (.3056) - 3 games
Western Kentucky (.5972) - 3 games
Louisiana-Monroe (.5517) - 3 games
---
Aggregate .5589 remaining OWP
However, since the Sun Belt in aggregate is an over .500 league, simply playing the remaining conference games will lower this aggregate OWP of Cajun conference opponents.
Obviously, it would be a very good thing if the Middle Tennessee and Florida Atlantic series were rained out. :-)
After applying the conference wins and losses evenly in the non-UL games (to all conference members), the aggregate OWP above is lowered to ... .5221. If we include Troy and North Texas ... teams the Cajuns have already played, this becomes .5346.
We now have everything we need for the various components of the formula.
All of the above (including the assumptions) leaves the Cajuns with a .5332 OWP, down from the current .5467.
So, we use ...
OWP = .5332
OOWP = .5505
We can then project whatever we want for wins/losses over the remaining conference games.
1) 18-0 -> 49-1 overall record -> WP = .9800
WP = .9400
OWP = .5332
OOWP = .5505
--
Base RPI = .6492
Adjusted RPI = .6648
2) 17-1 -> 48-2 overall record -> WP = .9600
WP = .9800
OWP = .5332
OOWP = .5505
--
Base RPI = .6442
Adjusted RPI = .6598
3) 16-2 -> 47-3 overall record -> WP = .9400
WP = .9400
OWP = .5332
OOWP = .5505
--
Base RPI = .6392
Adjusted RPI = .6548
4) 15-3 -> 46-4 overall record -> WP = .9200
WP = .9200
OWP = .5332
OOWP = .5505
--
Base RPI = .6342
Adjusted RPI = .6498
5) 14-4 -> 45-5 overall record -> WP = .9000
WP = .9000
OWP = .5332
OOWP = .5505
--
Base RPI = .6292
Adjusted RPI = .6448
6) 13-5 -> 44-6 overall record -> WP = .9000
WP = .8800
OWP = .5332
OOWP = .5505
--
Base RPI = .6242
Adjusted RPI = .6398
Obviously each loss costs the Cajuns .0050 in RPI since each loss lowers their WP by .02.
Now you can compare these Adjusted RPIs to 1) the current Adjusted RPIs and 2) the Adjusted RPIs at selection time in 2011 ...
3/25/12 Adjusted RPIs
(Adjusted RPI in parentheses)
#1 Alabama (.7000)
#2 Florida (.6879)
#3 California (.6878)
#4 Tennessee (.6845)
#5 Arizona State (.6790)
#6 Louisville (.6777)
#7 Louisiana (.6654)
#8 Texas (.6615)
#9 Washington (.6613)
#10 Oregon (.6561)
2011 Adjusted RPIs at NCAA Tournament Selection Time
#1 Arizona State (.7080)
#2 Georgia (.7059)
#3 Texas (.7054)
#4 Alabama (.7014)
#5 Missouri (.6978)
#6 Florida (.6962)
#7 California (.6946)
#8 Arizona (.6876)
#9 Oklahoma (.6743)
#10 Michigan (.6673)
#11 Baylor (.6658)
#12 Tennessee (.6601)
#13 Washington (.6563)
#14 Texas A&M (.6482)
#15 Oregon (.6470)
#16 Nebraska (.6407)
The significantly higher Adjusted RPIs at selection time in 2011 vs. 3/25/12 are due to the RPI bias I have mentioned (both in the base RPI formula and the awarding of bonuses). The elite conferences feast on the RPI during conference play as their RPI is enhanced due to the heavy weighting of the OWP (and SOS) and the bonuses awarded for all wins against the Base RPI Top 25/50 ... including conference games and home games ... not just non-conference road games. Arizona State above had 21 bonus games at selection time in 2011 and Georgia had 24. How many schools outsides of the Pac-12, SEC, Big XII, and Big Ten (four conferences) do you see represented above in the Top 16? How about zero. In fact, 15 of the 16 schools above came from three conferences.
Brian