Thanks blob, interesting but I suggest certainly not significant.
In the GB vs Pesky matches, 18 (1.12%) as against 16 (1.00%) is certainly within reasonable bounds. Toss a coin 34 times and one wouldn't question an 18 vs 16 outcome one way. Indeed it would be no doubt odds against it being 17 vs 17. So with 34 retirements I see no significance in it splitting 18 vs 16.
And you seem to be counting the retirement % in the GB vs GB contests based on the number of matches rather than the number of competing players so the 3 players (2.11%) is double counting the % as against the GB vs Pesky encounters. Base the % retirements on the number of competing players and it is about 1.055%. So not only a much lower sample of GB vs GB matches and more relevantly very low number of retirements, the % is actually very much in line with the GB vs Pesky figures.
The number of retirements and the differences are the really important factors for significance rather than the 1,748 base number of matches.
And the overall GB vs Pesky difference appears to be a bit less than 12% ( ie the 1.12% vs 1.00% less a bit for the 1.055% in GB vs GB matches ), actually probably still 12% when rounded. But anyway not 20%.
-- Edited by indiana on Saturday 17th of February 2018 02:11:30 PM
I started with it number of competing players in all-GB ties (I usually count an all-GB as one unique match, but two matches).
It's not double countng though, there were 142 unique matches that had a GB player on both sides of the net. There were 3 RETs - 2.11% of those matches. Those 3 RETS were by the player I list as player 1, and Player 1 is the GB player for that row. Player 2 is the opponent. For this subset, I haven't counted Player 2 RET, as they are implicitly covered in Player 1 RET.
For GB v Pesky matches, I have to count PLayer 1 RET for 'our' players retiring, and Player 2 Ret for Pesky RETs.
__________________
Data I post, opinions I offer, 'facts' I assert, are almost certainly all stupidly wrong.
The question then is do you know how many total retirements there were in the 142 GB vs GB matches? I was assuming that 3 was the total number of retirements in such matches. And it looks still the case, you say that there were 3 RETS- 2.11% of these matches. 3/142 Player 1s retired and 0/142 Player 2s did not?
If it is indeed 3, then the comparative % to the GB vs Pesky figure is 3/284 = 1.06%.
Or basing on the number of retirements against matches: There were retirements in 3/142 GB vs GB matches, 2.11% And retirements in 34/1606 GB vs Pesky matches, 2.12% ( 18 of which were GB players, 16 were Pesky ).
We're counting how many times the match was won by a RET In the 142 all GB matches, the result was decided by RET on 3 occasions. In my data, this is 284 rows of data, and 6 entries for the ret. Each all GB match has two rows, one for each player.
Here is a sample from the rows relating to the SF here, where Laura RET v Katy D - a RET in an all GB match.
Different Match ID's, one for each players instance. Each player occurs in a separarte row as P2, The RET is recorded on each row, but only as P1 in Laura's Row, as she was the retiring player. When I count across this rows for {[RET]=TRUE,[RET Player] = Player 1} I will get, correctly, that this match had one RET, and that the RET was by a GB player. The number of unique all GB matches is not double counted, because my formula for that simply has /2 on the end of it, to recognise the nature of All GB matches; thus the reason for the Green [All GB?] field.
Where it's not All GB, I can just count P1 & P2, and get the same equivalents.
I very patently took pains to not suggest significance, in the statistical or mathematical sense, "This would all be more meaningful with more years of data."
__________________
Data I post, opinions I offer, 'facts' I assert, are almost certainly all stupidly wrong.
I meant double counted the GB vs GB retirement %s as against these in GB vs Pesky matches.
As my previous post there is a total of 2.11% GB vs GB matches where someone retired and in GB vs Pesky matches a total of 2.12%, actually remarkably close. Slightly more of that 2.12% were GB than Pesky ( 18 players as against 16 ).
I appreciate that you didn't say it was significant mathematically. It is on these figures not really at all significant in any sense.
Shame for Katy but good week and a lot of good wins over quality opponents (the straight sets win over her bete noir Hozumi). Hopefully she can win a 25K soon.
Poor Katy. Now 0-5 in $25K finals.
She's never really got going in any of those finals either. All were in straight sets, and she's only ever won 5 games or more in a set in a $25K final on one occasion in those ten sets (and that was only 5, no TB).
__________________
Data I post, opinions I offer, 'facts' I assert, are almost certainly all stupidly wrong.