TGJB,
\"Considering the above, and sample size, it\'s a little silly to draw firm conclusions as to cause and effect, no?\"
Yes. I agree.
I think the conclusions and results were simply consistent with views that were developed over many years of seeing the exact same sort of thing. That\'s why \"I\" seem so confident.
\"I would be interested in knowing whether Beyerguy has done any large population studies about fractions as they relate to final time.\"
I don\'t know about beyerguy, but having worked with them for a very long time I think the complexities of both making accurate pace figures and then defining a formula that covers all the possible pace combinations within a race makes the task of proving anything very difficult except in the extreme situations. Plus, I also think that non pace issues like pressure/loose impact all this.
Where you and I probably part ways a little is that I think there are smaller impacts in less extreme situations that are worth at least trying to measure. If I had to guess I think you catch some of that in your variants when you break out races a little.
I also think there are sub plots within a race that are very easy to prove if you pay attention.
I\'m probably stretching my luck here by getting so deep into this, but I hope you will tolerate me this one last time because IMHO it has HUGE VALUE from a betting perspective and making final time figures and is fairly easy to prove via observation.

Extreme example to make the point:
If Seattle Slew set a pace that was average for him and he was dueling with a Grade 3 horse, the pace of the race might be in perfect sync with the final time because it was SS\'s race all the way. SS would not be impacted. However, SS\'s average pace would destroy the average Grade 3 horse because it\'s way too fast for him. There are subplots within races. So for example if SS draws off by 10 and you were only expecting him to draw off by 7 against that Grade 3 horse, 3 lengths of it are \"usually\" related to SS\'s pace killing off the other horse and not SS running a new top. Pace figures clarify that kind of thing easily!