Daigian could well be lower than the 62.5% number RJ stated as we know the Tower has been weakening for centuries.
Daigian meets the current standards, if barely (if she didn't she would not have be allowed to pass the test for the shawl, she'd had remained an Accepted, constrained to remain in TV). RJ said only 32.5% of women are strong enough to meet them. It's possible the standards have been lowered at some point, though the AS seem to imply they did not (one of them mentioned at some point that despite the decreasing strength and the fact less and less candidates could meet the standards, they were not to lower them...) but 32,5% of women was the current state of things anyway (or RJ would have specified the number applied to a past state of things, not the current one...), and that forcibly includes Daigian at the minimal required level to be allowed to past the test.
My point being a combination of declining numbers and declining strength could easily lead to declining standards. Daigian was clearly dedicated to earning the Shawl, the AS may well have decided to lower the standard to keep numbers up. Obviously I'm in pure speculation territory, but Daigian could just as easily be an example of the decline of the WT as anything else. Ultimately it has little bearing on Bell Curves etc...
The context of the Q&A makes it very clear RJ was referring to the story's contemporary WT standards.
She lies exactly on that boundary that RJ was referring to.
I actually think she lies below this boundary. She seems to be too weak to become an AS but got through using perseverance. The fact that most AS treat her as little better than a wilder demonstrates this. I think she is significantly below the next strongest AS, whomever that is. It makes no difference though, Daigian's strength has never been a direct marker of OP strength like Lanfear or Egwene's has. She's merely a name for the weakest AS level, and whether its Daigain or Vandene or Adeleas makes no difference.
RJ said 37.5% of female channelers fall below the level required to qualify for the Shawl.
It is clearly stressed that Daigian passed this test by a hairsbreadth.
Hence, Daigian clearly falls on this boundary. Put differently, you cannot be weaker than Daigian and still pass the test.
So therefore we know to a very high degree of accuracy that Daigian falls on this 37.5% boundary, or as close to it as a living channeler can apparently be.
From that point we can extrapolate the rest, as we know the number of SD's that cover the percentage of the population between 37.5% and 50%. It is 0.32SD exactly, if I recall correctly. One third of an SD, rounded for quick reference purposes.
The rest of the formula falls into place then, proving that a normal distribution is impossible, given the strength facts we are given in the series.
It doesn't matter who the weakest AS is. I agree that she is that marker, but its also irrelevant if its someone else because Daigain doesn't appear anywhere else with proportionality e.g. "Daigian was less than half as strong as Verin". I'm merely voicing a private theory that Daigian is probably a lot weaker than the woman above her. She spent more time as a novice and accepted than anyone in living memory. It doesn't affect anyone's theories though, but I honestly believe that Aes Sedai have strengths of between 10 and 30, that the 10 is the lower limit shared by several women, and that Daigian is on 6 or 8.
Wheel of Time board admin
Fan of Lanfear
Fan of Lanfear
How many standard deviations is Lanfear
15/11/2012 06:04:39 PM
- 2080 Views
Hmm...
15/11/2012 07:25:34 PM
- 1216 Views
see we CAN agree on stuff
15/11/2012 07:56:12 PM
- 1067 Views
18/11/2012 08:37:22 PM
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Re:
18/11/2012 11:07:17 PM
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Re:
19/11/2012 05:16:00 AM
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Re:
19/11/2012 03:13:01 PM
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They only reject 37.5%, not 62.5%
19/11/2012 03:19:19 PM
- 1004 Views
Re: They only reject 37.5%, not 62.5%
19/11/2012 04:01:43 PM
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Re: They only reject 37.5%, not 62.5%
19/11/2012 09:04:04 PM
- 953 Views
Hmmm...
20/11/2012 02:08:40 AM
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Perhaps, but Egwene is also being a bit dramatic in the scene as she managed
20/11/2012 04:28:57 AM
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Nope...
20/11/2012 03:13:13 PM
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I believe she is being over dramatic
20/11/2012 03:26:24 PM
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Keep believing that...
20/11/2012 03:30:14 PM
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*shrugs*
20/11/2012 03:49:10 PM
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Tired and forkroot are the same now?
20/11/2012 03:55:22 PM
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No it's the literary device
20/11/2012 04:04:28 PM
- 1034 Views
Impossible. Daigian is exactly 0.32SD below the mean
19/11/2012 11:06:04 AM
- 978 Views
You keep saying that, but it is either a linear or a non-linear distribution
19/11/2012 09:09:32 PM
- 1034 Views
That's the whole point. Thanks for finally seeing it.
19/11/2012 09:43:27 PM
- 996 Views
keep believing that ... but you making up numbers isn't really relevant *NM*
20/11/2012 04:29:44 AM
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Please show me a number that is made up. The 0.32SD for Daigian is a rule of statistics.
20/11/2012 07:15:48 AM
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Ugh. I hate power level discussions. For real world applications, it should be kind of meaningless
16/11/2012 10:28:49 PM
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I don't really agree
18/11/2012 08:40:53 PM
- 891 Views
Perhaps, but we've seen that a MUCH weaker Channeler can win in a duel
19/11/2012 09:13:48 PM
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Re: Perhaps, but we've seen that a MUCH weaker Channeler can win in a duel
20/11/2012 08:10:01 AM
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Since I've proven that it's not a normal distribution in units of absolute strength, SDs don't apply
17/11/2012 07:48:21 PM
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You have proven nothing, except that you have an opinion *NM*
18/11/2012 02:21:35 AM
- 638 Views
You simply don't get it. It is mathematically a fact. There is no opinion involved.
18/11/2012 02:19:40 PM
- 837 Views
Only because you've assigned numeric values. That you created.
18/11/2012 02:40:51 PM
- 961 Views
It doesn't matter what figure you use...
18/11/2012 03:01:56 PM
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What if Daigian is one third Lanfear's strength?
18/11/2012 04:37:58 PM
- 984 Views
Sure you can
18/11/2012 10:09:31 PM
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Re: Sure you can
18/11/2012 10:54:50 PM
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You're right, though its 37.5%
19/11/2012 12:21:29 AM
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Oops, typo!
19/11/2012 02:54:25 AM
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Again, not possible, due to Daigian being just 0.3SD below the Mean
19/11/2012 08:37:01 AM
- 930 Views
Egwene is definitely not 2x Amys...
19/11/2012 04:05:12 PM
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Re: Egwene is definitely not 2x Amys...
19/11/2012 05:55:02 PM
- 801 Views
Egwene is about as strong as Melaine and Amys combined
19/11/2012 09:19:50 PM
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Re: Egwene is about as strong as Melaine and Amys combined
20/11/2012 02:11:26 AM
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Forkroot in every case
20/11/2012 04:32:26 AM
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No!
20/11/2012 03:15:16 PM
- 910 Views
I'm not going to go re-read the books to you on this
20/11/2012 03:39:46 PM
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You need to read it for yourself, since you're completely confused.
20/11/2012 03:54:26 PM
- 891 Views
Not going to argue this with you.
20/11/2012 04:09:44 PM
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Your own example disproved your point...
20/11/2012 04:39:25 PM
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let's see, she's both asleep and would need hours to regain her strength
20/11/2012 04:43:17 PM
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Enough!
20/11/2012 05:04:06 PM
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LOL ... whatever. You go on believing that ... no one else sees it this way. *NM*
20/11/2012 05:20:52 PM
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Re: Your own example disproved your point...
20/11/2012 05:10:15 PM
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Barasine + Katerine isn't that much less than
20/11/2012 05:26:31 PM
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Re: Egwene is definitely not 2x Amys...
20/11/2012 02:26:47 AM
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Re: Egwene is definitely not 2x Amys...
20/11/2012 09:03:40 AM
- 911 Views
Re: Egwene is definitely not 2x Amys...
20/11/2012 02:59:08 PM
- 945 Views
None of this is backed by any evidence...
20/11/2012 03:24:12 PM
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who said Cadsuane was 1.5x Moiraine or more?
20/11/2012 04:03:13 PM
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Nope...
20/11/2012 04:41:35 PM
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wrong
20/11/2012 04:48:50 PM
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Better evidence? LOL!
20/11/2012 03:18:55 PM
- 911 Views
Huh? How did you come to that conclusion?
20/11/2012 04:40:56 PM
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BEcause Cadsuane is close on the heels of Egwene?
20/11/2012 05:10:50 PM
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I'm not arguing that. I agree that Cadsuane is pretty close to Egwene
20/11/2012 05:50:34 PM
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Interesting, but let's go with your figures...
19/11/2012 06:54:54 AM
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Indeed
19/11/2012 08:16:44 AM
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Rand is sort of a special case
20/11/2012 04:25:02 AM
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Regarding Mesaana...
20/11/2012 08:42:56 AM
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You continue to mix two things
20/11/2012 03:24:44 PM
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No
20/11/2012 04:54:19 PM
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You are mistaken
20/11/2012 05:04:40 PM
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Probably, but the AS have no idea what 37.5% means
19/11/2012 02:59:26 AM
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It's irrelevant
19/11/2012 03:46:42 AM
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Agreed. Daigian is the marker of the absolute bottom of Aes Sedai strength.
19/11/2012 06:55:41 AM
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Daigian
19/11/2012 08:12:19 AM
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It is a direct marker due to RJ's quote
19/11/2012 08:50:26 AM
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You missed my point
19/11/2012 09:08:42 AM
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Asmodean would never have made the comment about 13 weakest AS
20/11/2012 04:41:11 AM
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Re: Asmodean would never have made the comment about 13 weakest AS
20/11/2012 09:07:49 AM
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Re: Sure you can
19/11/2012 09:22:09 AM
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Care to explain this...
19/11/2012 05:06:28 PM
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Indeed
20/11/2012 07:16:37 AM
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Explained far better than I ever could. Bravo.
20/11/2012 07:30:29 AM
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Well duh.
20/11/2012 02:57:24 PM
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Incorrect.
20/11/2012 04:28:07 PM
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No
20/11/2012 04:44:16 PM
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You're integrating without lower limits...
20/11/2012 02:55:06 PM
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We are not talking about a normal distribution in any case
20/11/2012 04:44:24 AM
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Re: We are not talking about a normal distribution in any case
20/11/2012 07:02:47 AM
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You must tell me of this special math...
20/11/2012 03:10:09 PM
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Re: You must tell me of this special math...
20/11/2012 04:29:40 PM
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Morghase is a placeholder...
20/11/2012 04:45:42 PM
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Well...
18/11/2012 08:43:59 PM
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Re: Well...
19/11/2012 03:40:44 PM
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Wow.
19/11/2012 03:53:47 PM
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Well then you're both wrong I'm afraid
19/11/2012 06:09:36 PM
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Re: Well then you're both wrong I'm afraid
19/11/2012 07:42:58 PM
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this is why I think all of the Forsaken are very close in Power
20/11/2012 04:51:20 AM
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Re: this is why I think all of the Forsaken are very close in Power
20/11/2012 02:45:18 PM
- 911 Views
I think RJ went out of his way to keep strength a bit of a mystery
20/11/2012 08:42:44 PM
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Math gurus...Is it possible to find the missing variable...
21/11/2012 05:12:24 PM
- 923 Views
the problem is that the Mean is not going to tell us much really
22/11/2012 02:55:03 AM
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Re: the problem is that the Mean is not going to tell us much really
22/11/2012 03:15:33 AM
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I do not think you can calculate the Mean without knowing the Units of Power
22/11/2012 03:53:59 AM
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