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Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 6:31 pm
by Martin Smith
One of Jeff's catchphrases was heard today - after the champion took a lead in the first round, he said it was the challenger's chance to get on the scoreboard as he was picking the letters. I'm not sure if Jeff has thought about the inference of this, that picking the letters is an advantage on a round, but I wonder if anyone has any thoughts on this. Clearly there will be times when you notice that, if the last tile is an e, you have a nine-letter word your opponent probably doesn't know, but does it happen that often? Is declaring your score second a bigger advantage? Is picking 6/11 of the letters rounds more important than picking 2/3 of the numbers rounds?

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 6:41 pm
by Kirk Bevins
I prefer to pick the letters as I'm always playing goatdown when selecting. On my shows I wanted my opponent to pick a final vowel for a potential I for OLEFINIC. I got very lucky as he went vowel and it was an I but it very often doesn't happen that way. You also get to declare second one more time which can be crucial for wondering whether to risk a word or not.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 6:47 pm
by Michael Wallace
I'm going to go for no.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 6:53 pm
by Jon Corby
There is the advantage that Kirk has described, but personally I found that hard to do in the studio. I much preferred when my opponent was picking because I could concentrate fully on the letters that were coming out, and start making words, and realising what was nearly there etc. When I was picking, I was focussing not more on not saying something stupid like cowel or vonsonant, or pausing too long, or not realising I still had three letters to pick, or was dribbling slightly while the camera was on me, etc etc

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 6:55 pm
by Rhys Benjamin
It's been the opposite for me.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 7:01 pm
by Paul Howe
There are some advantages:

- When you've spotted a good word from the first 7/8 letters, you can try and pick the rest so it's not beatable or ideally darrenic.
- You can try and pick awkward selections to stop your opponent scoring heavily (e.g. if you have a healthy lead in an endgame or you think your opponent is much stronger and able to nail you with a soul crushing nine).
- You can fish for letters to make a good word. Most effective when fishing for vowels, especially if you're autistically good and able to see multiple vowels that would produce a killer word. Obviously this has a patchy success rate, and you have to know the dictionary really well for this to be much of an advantage.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 7:04 pm
by Charlie Reams
I always prefer to be picking, and deliberate fishing gave me the YouTube moment of my run, but I have no idea if there's any real advantage to it statistically speaking.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 7:04 pm
by Michael Wallace
Charlie Reams wrote:I always prefer to be picking, but I have no idea if there's any real advantage to it, statistically speaking.
Pimp me the numbers sometime, big boy.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 7:06 pm
by Matt Morrison
For once, a thread that really deserves a poll.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 7:07 pm
by Michael Wallace
Matt Morrison wrote:For once, a thread that really deserves a poll.
You think? I think we need a poll for that.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 7:09 pm
by Charlie Reams
Michael Wallace wrote:
Charlie Reams wrote:I always prefer to be picking, but I have no idea if there's any real advantage to it, statistically speaking.
Pimp me the numbers sometime, big boy.
Yeah, I actually will. It's a good question.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 8:03 pm
by Gavin Chipper
Jon Corby wrote:There is the advantage that Kirk has described, but personally I found that hard to do in the studio. I much preferred when my opponent was picking because I could concentrate fully on the letters that were coming out, and start making words, and realising what was nearly there etc. When I was picking, I was focussing not more on not saying something stupid like cowel or vonsonant, or pausing too long, or not realising I still had three letters to pick, or was dribbling slightly while the camera was on me, etc etc
Hang on - you mean before the clock has started? Outside the time allowed? What a fucking cheat. I have no respect for people that do that. I actually had no idea it went on.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 10:40 pm
by Ian Volante
Gavin Chipper wrote:
Jon Corby wrote:There is the advantage that Kirk has described, but personally I found that hard to do in the studio. I much preferred when my opponent was picking because I could concentrate fully on the letters that were coming out, and start making words, and realising what was nearly there etc. When I was picking, I was focussing not more on not saying something stupid like cowel or vonsonant, or pausing too long, or not realising I still had three letters to pick, or was dribbling slightly while the camera was on me, etc etc
Hang on - you mean before the clock has started? Outside the time allowed? What a fucking cheat. I have no respect for people that do that. I actually had no idea it went on.
I'm coming over all John McEnroe right now.

Re: Is picking the letters an advantage?

Posted: Tue Oct 05, 2010 11:12 pm
by James Doohan
Ian Volante wrote: I'm coming over all John McEnroe right now.
Glad I read that a second time :lol:

Re: Is picking the letters an advantage?

Posted: Wed Oct 06, 2010 4:48 pm
by Rhys Benjamin
Charlie Reams wrote:YouTube

Re: Is picking the letters an advantage?

Posted: Wed Oct 06, 2010 8:44 pm
by JackHurst
To put it plainly, if you are good, then yes, picking letters is an advantsage in a round. I think theres a certain Level you have to be at before it becomes an advantage.

Re: Is picking the letters an advantage?

Posted: Thu Oct 14, 2010 10:11 pm
by Nik Mackintosh
I found it much easier when my opponent was picking the letters. It meant i could stare at the letters coming out and start making words rather than staring at Rachel. :lol:

Re: Is picking the letters an advantage?

Posted: Fri Oct 15, 2010 7:44 am
by Jon Corby
JackHurst wrote:To put it plainly, if you are good, then yes, picking letters is an advantsage in a round.
:(

Re: Is picking the letters an advantage?

Posted: Fri May 22, 2020 4:57 pm
by Rhys Benjamin
Reading back last night's ZoomDown, Damian thinks I need shooting for picking 5 vowels and a Y.

Re: Is picking the letters an advantage?

Posted: Fri May 22, 2020 5:00 pm
by Gavin Chipper
JackHurst wrote: Wed Oct 06, 2010 8:44 pm To put it plainly, if you are good, then yes, picking letters is an advantsage in a round. I think theres a certain Level you have to be at before it becomes an advantage.
Yeah, I'd agree with this, so just looking at the raw statistics (as suggested above) wouldn't tell you very much unless you took a more nuanced approach to it.

Old threads are good.

Re: Is picking the letters an advantage?

Posted: Sat May 23, 2020 12:09 pm
by Charlie Reams
I took a quick look into this based on apterous data. I only considered games that are reasonably simulations of Countdown, i.e. human-vs-human games with normal rules and 30-second rounds. I also only looked at data for the last two years, because the move to the much bigger dictionary presumably raised the skill ceiling overall and might've changed the balance of the game. That leaves about 550,000 rounds. I put the exact numbers in a spreadsheet if anyone is interested in digging further, but here's a summary of what I found:

Overall, the picker expects to score about 5.47 points per round versus the receiver's 5.43, which amounts to an extra 0.43 points per game in a standard 15-rounder. The picker expects to win about 50.4% of decisive rounds (i.e. ignoring draws), which is statistically significant at the 99.9% level.

To test Jack's hypothesis that this is a bigger factor for the strongest players, I looked at games where both players were in the Pro Ranks top 25 at the time the game was played. This leaves about 30,000 rounds. In this case, the picker expects to score 6.58 points per round versus the receiver's 6.53, netting out to an extra 0.49 points per game. The picker expects to win about 50.7% of decisive rounds, which is a bit higher than the overall 50.4%, but this difference is not statistically significant (p=0.2).

So overall I think my conclusion is that picker's advantage is real but very small, and doesn't increase much for the strongest players.

Re: Is picking the letters an advantage?

Posted: Sat May 23, 2020 1:06 pm
by Gavin Chipper
Interesting analysis! Thanks for doing that!

Re: Is picking the letters an advantage?

Posted: Sat May 23, 2020 4:00 pm
by Conor
Charlie Reams wrote: Sat May 23, 2020 12:09 pm To test Jack's hypothesis that this is a bigger factor for the strongest players, I looked at games where both players were in the Pro Ranks top 25 at the time the game was played. This leaves about 30,000 rounds. In this case, the picker expects to score 6.58 points per round versus the receiver's 6.53, netting out to an extra 0.49 points per game. The picker expects to win about 50.7% of decisive rounds, which is a bit higher than the overall 50.4%, but this difference is not statistically significant (p=0.2).

So overall I think my conclusion is that picker's advantage is real but very small, and doesn't increase much for the strongest players.
Nice analysis. Looking at Paul's list of advantages above, this should capture the fishing/goating advantage pretty well. But in games between two top players this effect can be pretty minimal since players probably arrive at the same words similarly. It might be interesting to see how top 25 players do vs non-top 25 players: how many extra rounds they win on their pick. Or even to bucket the groups more narrowly, e.g. top 10 players.

Anecdotally, I can think of too many occasions when I've fished for something against a top player, it's come out and I've won the round with it, but rather the bigger advantages are being able to influence the round probability distribution in order to maximize your chances of winning the match.

Also, it'd be interesting to see how the edge in picking has changed with the updated dictionary. I'd presume that it's been reduced.

Re: Is picking the letters an advantage?

Posted: Sat May 23, 2020 7:37 pm
by Jon O'Neill
Charlie Reams wrote: Sat May 23, 2020 12:09 pm I took a quick look into this based on apterous data. I only considered games that are reasonably simulations of Countdown, i.e. human-vs-human games with normal rules and 30-second rounds. I also only looked at data for the last two years, because the move to the much bigger dictionary presumably raised the skill ceiling overall and might've changed the balance of the game. That leaves about 550,000 rounds. I put the exact numbers in a spreadsheet if anyone is interested in digging further, but here's a summary of what I found:

Overall, the picker expects to score about 5.47 points per round versus the receiver's 5.43, which amounts to an extra 0.43 points per game in a standard 15-rounder. The picker expects to win about 50.4% of decisive rounds (i.e. ignoring draws), which is statistically significant at the 99.9% level.

To test Jack's hypothesis that this is a bigger factor for the strongest players, I looked at games where both players were in the Pro Ranks top 25 at the time the game was played. This leaves about 30,000 rounds. In this case, the picker expects to score 6.58 points per round versus the receiver's 6.53, netting out to an extra 0.49 points per game. The picker expects to win about 50.7% of decisive rounds, which is a bit higher than the overall 50.4%, but this difference is not statistically significant (p=0.2).

So overall I think my conclusion is that picker's advantage is real but very small, and doesn't increase much for the strongest players.
This is great and intuitively about what I would expect. Can we say that picking tactically will change the winner of the game extremely infrequently?

Re: Is picking the letters an advantage?

Posted: Sat May 23, 2020 11:26 pm
by David Williams
Declaring second is an advantage. It can be an advantage even if it gives you a lower expected score.

You're 21 points behind. Last letters game. You're looking at a safe seven or a dodgy eight. He goes eight, you go seven, and vice versa. He goes six, you go seven. In the long run it costs you points, but you win more games.

Re: Is picking the letters an advantage?

Posted: Sun May 24, 2020 12:08 am
by Rhys Benjamin
If you're >10 points behind (or any points behind and you're rubbish at conundrums) in the final letters game surely you go for the dodgy 8? At least, that's what I did (except with a dodgy 6)? If I'd have said 5 I wouldn't have won the game.

Re: Is picking the letters an advantage?

Posted: Sun May 24, 2020 1:46 am
by Mark Deeks
If his eight is fine, then even if your eight is fine, you've lost anyway. Whereas if his eight is not fine, but neither is yours, you've also lost anyway. Might as well take the possibility of the sure points to potentially cut it to 14 and hope he's wrong about his.

Re: Is picking the letters an advantage?

Posted: Sun May 24, 2020 7:49 am
by Gavin Chipper
David Williams wrote: Sat May 23, 2020 11:26 pm Declaring second is an advantage. It can be an advantage even if it gives you a lower expected score.

You're 21 points behind. Last letters game. You're looking at a safe seven or a dodgy eight. He goes eight, you go seven, and vice versa. He goes six, you go seven. In the long run it costs you points, but you win more games.
This is a good point and obviously the picker declares first so it complicates the statistics.

Re: Is picking the letters an advantage?

Posted: Sun May 24, 2020 12:23 pm
by Mark James
I wonder if anyone has ever declared "dodgy 8" but actually knew it was fine but said dodgy because they suspected their opponent to have the same 8 but be less confident in it and hope they decide against risking it.

Re: Is picking the letters an advantage?

Posted: Mon May 25, 2020 12:24 am
by Rhys Benjamin
Mark Deeks wrote: Sun May 24, 2020 1:46 am If his eight is fine, then even if your eight is fine, you've lost anyway. Whereas if his eight is not fine, but neither is yours, you've also lost anyway. Might as well take the possibility of the sure points to potentially cut it to 14 and hope he's wrong about his.
Depends whether they say non-dodgy 8 or not, I think.

The actual game situation in my case was 62-55 with the final letters round, selection MIFGOSEMV, and he said "six". I had FOGIES (dodgy 6) and some 5, I can't remember what it was now. Saying FOGIES kept it 68-61, and after the final numbers that was 68-68. So if I'd said 5 I'd have lost. I don't really get this line of thinking.

Re: Is picking the letters an advantage?

Posted: Mon May 25, 2020 12:34 am
by Mark Deeks
You're using that to rebut a different situation. See what David wrote again.

Re: Is picking the letters an advantage?

Posted: Mon May 25, 2020 12:52 am
by Rhys Benjamin
Mark Deeks wrote: Mon May 25, 2020 12:34 am You're using that to rebut a different situation. See what David wrote again.
So what are you saying? That less than 21 points behind you do gamble? Because that's not the inference at all.

Re: Is picking the letters an advantage?

Posted: Mon May 25, 2020 7:59 am
by David Williams
Rhys Benjamin wrote: Mon May 25, 2020 12:24 am The actual game situation in my case was 62-55 with the final letters round, selection MIFGOSEMV, and he said "six". I had FOGIES (dodgy 6) and some 5, I can't remember what it was now. Saying FOGIES kept it 68-61, and after the final numbers that was 68-68. So if I'd said 5 I'd have lost. I don't really get this line of thinking.
That's the reverse situation, but the same thing applies. If you win or draw that round it makes no difference. If you lose it's disaster. So declaring second you match what your opponent says. If you declare first you have to make a decision, and it's distinctly possible that your opponent will take the opposite decision, because for him losing the round is irrelevant.
It's never conclusive, with another numbers game to come, of course.

Re: Is picking the letters an advantage?

Posted: Mon May 25, 2020 8:01 am
by Sam Cappleman-Lynes
EDIT: Sniped by David who has explained much the same thing.

I mean, in your situation Rhys, saying "six" was obviously the right choice, for much the same reason as David's line of reasoning for the 21-point situation. If your opponent says "six", then if their word is valid you need to have your own six to stay within 10, and if their word is invalid you'll be within 10 whatever happens.

David isn't presenting a rule like "you should never gamble" or "you should always gamble" - it depends on the exact score difference, and the lengths of the words involved. But the point is that only the second player (i.e. the one not delcaring) has the luxury of using this to their advantage.