What I am saying is it seems normal that the larger the schedule, the lower the overall quality of the tournaments would be. Overall being the key word. If you are more selective on your schedule you tend to concentrate on the more important tournaments. Playing 18 events is very different from playing 30, and you cannot reasonably demand the same, let's say, overall density.
It is not unreasonable to expect the same overall density, if you look at the specific circumstances. Vilas could have played in Philadelphia, which nearly everyone else attended; this year the players flocked to it practically as if it was a major. For some reason Vilas played the smaller indoor events in Baltimore (losing in the final) and Springfield (winning the title), but not Philadelphia. He could have played Philly instead of one of the other events – and in that case his amount of activity for the whole year remains the same while the quality of his draws gets a huge boost.
There’s a similar example in the autumn: he could have played Wembley instead of one or more of the events in his South American tour (in which he picked up 3 titles with no other Top Tenners in the draw to oppose him). That choice would have raised the average quality of his draws almost to the level of Borg’s, and he could have done it without decreasing the amount that he actually played.
Philly and Wembley were important tournaments, maybe the biggest indoor tournaments of the year apart from the tour-ending championships at Dallas and the Garden. It’s not unreasonable at all to expect a top player to attend one or both of them. That’s especially true in the case of Philadelphia, which practically everyone else attended.
That's why I firmly believe one should not compare the quality of Borg's 18 events to all of Vilas 30 events. We can compare it to Vilas’ best-attended 18 events. Otherwise we are not comparing similar things, and it would look as if all of Vilas tournaments were of lower quality.
Your belief proceeds from the false premise above. It is in fact reasonable, even if Vilas plays a ton of events, to expect the overall quality of his events to be close to the quality of Borg’s. So it is appropriate to measure all of Borg’s events against all of Vilas’, in terms of quality of draw.
The average number of Top Tenners in all the events that Borg entered is 2.8. The average number for Vilas is 2.2.
The average number of Top Tenners entered in the 11 events that Borg won is 2.2. The average for all 16 of Vilas’ titles is 1.7.
That’s the lowest number we’ve seen so far, and it speaks directly to the issue of whether Vilas padded his title count against weak opposition.
Your point is well taken about not all of Vilas’ tournaments being of lower quality. If that’s your concern, let me be clear, I’m not trying to pin Vilas’ average on all of his events.
But the average indicates that some significant number of Vilas’ events were poorly attended by the Top Ten. Borg and Vilas both picked up titles with no other Top Tenners present in the draw to oppose them. But Borg only picked up 2 titles that way; Vilas picked up 6. And that nearly accounts for all of Vilas’ edge over Borg in overall titles for the year.
Vilas has a 16-11 edge in total titles. But those 5 extra wins were his least-attended events, out of all the events he played throughout the year. No other Top Tenners were present.
That doesn’t mean those titles are worthless. But they do not automatically put Vilas over Borg, because none of the losses have yet been looked at. You could decide that Vilas’ 11 best results are equal to or greater than Borg’s 11 titles (which is debatable); but at that point you’d have to compare what left’s over in the record: Borg, with 7 losses, against Vilas who has 5 (unimpressive) titles and 14 losses.
Well, it seems to me that best results (in this case, wins) is what’s normally looked at when comparing records, provided that the quality of the tournaments in those best results is comparable. So I don’t see it as an artificial division, but as a very logical one. I just took their best 11 results (because Borg won 11 tournaments) and compared the quality of the tournaments they came from, from the perspective of how many top ten players were in them, and discovered that the quality was very similar.
It seems odd to compare losses, but even here there seems to be nothing unusual. Vilas had 14 to Borg’s 7, yes, but he also played 30 tournaments to Borg’s 18, and we know that the match win percentage is also very similar for both, 90 for Vilas and 91 for Borg. And we’ve already seen that the “quality” of the Vilas losses was not inferior to Borg’s either. Vilas did not lose, on average, to lower ranked players than Borg did. So I don’t really get this focus on losses.
I don’t want to focus on losses, but I object to the way they’re being counted. Whenever you’ve mentioned the losses you’ve referred to them as a percentage of Vilas’ total activity, and you’ve pointed out that the percentage is almost the same as Borg’s.
But the titles are not being treated in the same way. You picked out the 11 best titles for each man – and then you referred to Vilas’ remaining titles, in various analogies, as extra ammunition, extra food eaten, extra miles run. They are merely being added to the pile. They are not referred to as a percentage of his total activity.
If the titles are merely being added up – taking the best 11, and adding the remaining 5 – then the losses have to be counted up in the same way. It’s the only fair way to do it. Vilas lost 14 matches, which is 7 more losses than Borg had. The end. No references to them as percentages.
If you like, you can take 7 losses by Vilas, to compare with Borg’s 7. Then the remainder of the record features 7 more losses by Vilas, none by Borg. That would be the equivalent of what you did with the wins.
Yet that method is still basic addition/subtraction, and I don’t think that’s the right way to evaluate a year like this one.
As long as the quality of the tournaments is comparable, and the number under comparison is the same, he doesn’t have to introduce the quality of the remaining tournaments on the exhibit. They are just an extra. As if a racer on a time trial, after reaching the end line, felt like continuing for a few more miles because they seemed easy, or just for the hell of it. But he still did what he had to do.
Here you explicitly claim that the quality of Vilas’ remaining tournaments – unlike the quality of his best 11, which you did evaluate and which I appreciate – does not have to be analyzed. The remaining titles can simply be added.
But that method instantly gives the victory to the player who played more. By definition, if you stop analyzing quality at the point where the first player has no more titles, that player will be left with much less “material” left over, so to speak, than the guy who played more. The second guy easily wins then – because at that point you’re simply asking for quantity.
I do not see tennis as a contest of who can run more. For one thing, you can talk about how far someone runs, but how does that account for the times when he got beaten?
I don’t like this runners analogy, but I’ll give it a try. Losses can be represented by the runner stopping momentarily because he can’t continue. That means that Vilas stopped quite often while Borg kept running. While they did run (the 11 best events), they ran at more or less the same speed, you’ve said. But Vilas stopped more often, so he’s fallen behind.
But you’ve also said he continued running at the end, after Borg stopped. So perhaps that way he catches up – according to your analogy.
All analogies are imperfect and I’m not claiming that this one – spinning it this way, or that way – reveals anything concrete about the real situation.
But I do think you’ve got a problem when one man plays far more than the other, and you compare them by cutting their activity into pieces and then adding up the pieces. That method will practically hand the victory to the guy who played more.