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the problem is that the Mean is not going to tell us much really darius_sedai Send a noteboard - 22/11/2012 02:55:03 AM
the Mean is where the highest number of individuals will fall statistically. The Units of Saidar an individual can wield is not what makes them "100" or "1" its the relative rarity of which that strength appears in nature. We do not have a single real number that maps an individuals actual strength in the power so we cannot do more than guess at this.

With that Said we can make the assumption that Lanfear is also 5.730729 SD from the Mean, but it doesn't tell us how much stronger she is than Morgase or the individual at the Mean. Or what number the Mean falls at on the scale.

Realistically Lanfear may be able to wield 1000 units of Saidar and Morgase 1 unit, but that tells us nothing of how many units the individual at the Mean can wield. RJ told us there is a Bell Curve distribution, but he gave us vague descriptions of actual power ... things like "considerably" or "very weak" but no indication of what that really means.

Personally I've placed the 21 level list as the Bell Curve, which would make the level 11 channelers at Mean with 10 SDs on each side (yes I know this isn't perfect). If you place all the FS at levels 20-21 and women of significant strength, from 16-19 you can then place Morgase at level 1 and the significantly weak channelers on levels 2-6 meaning AS all fall between 7-15 (levels 7 and 8 being Accepted). Which would square with the series quotes etc ... most AS will be Mean and below levels 9-11 or Daigian-Merilille (too weak to Travel) women AS consider strong falling at levels 12-15 or probably Verin-Moiraine in strength.

Another way to consider this is from RJs comments about levels

Forsaken Level ... Nynaeve, Sharina, the Forsaken

One Step Lower we have

"Exceptional"Level ... Egwene, Cadsuane, Bode, Nicola, Mielyn, Kerene

One step below that we have

"Very Strong" Level ... Moiraine, Siuan, Lelaine, Romanda, Elaida, Sheriam, Leane, and the other very strong Sisters like Kiruna, Bera and Galina I'd estimate that the weakest women at this range are likely Nesune, Katerine or Coiren.

Below that we have "Above average Sisters", women of influence in the Tower, but not at the very top rung ... likely Tarna or perhaps Masuri and Rafela at the top of this level, in the mid-range of that would be Verin, Seonid, Merana, Alana and someone like Merilille, Eldrith, Covarla etc.. at the lower range of the level

Middling sisters would encompass women like Adeleas and Vandene (who I would consider the MEAN level Channelers) This is where I believe the vast majority of the unnamed AS sit.

Weak Sisters would be women like Siuan and Leane are now, Cabriana, Kumira and, of course, Daigian.

Then there is the 37.5% of women who pretty much fall under the "negligible" category, I'd say there are actually many levels within this category ... New Moiraine, Alise, Sorilea, Morgase etc... perhaps Moiraine is 2x Alise who is in turn 3x Sorilea etc... but these are all Channelers of insignificant power. To do anything of real note they would need to have an angreal or lead a circle.

We can benchmark certain things at certain power levels such as Egwene level is about 2x Moiraine level, and that Moiraine level is about 3x Weak Sister level ... and we can assume that Weak Sister level is probably many times greater than even the highest level of "negligible" ... Daigian maybe 5x Sorilea who may be 15x Morgase ... but that doesn't really tell us a whole lot :)

Personally I think each level on the 21 level list comprises a smaller range of power (in terms of units) so Morgase level can wield 1 unit, but Sorilea's level may vary more and encompass women who can wield between 11-14 units, Alise level between 35-50 units, on the flip side level 21 may encompass women who can wield anywhere from 400-450 units, Level 20 would be women who can hold 365-400 units, that would allow for Graendal to be a 21 but still noticeably weaker than Lanfear, and Moghedien being at level 20 and still being much weaker than Lanfear, and also allows for Merana, Alana and Verin being on the same level and being unsure of which is stronger without an actual contest.
Domani Drag Queen in the White Tower ... Aran'gar watch out!
This message last edited by darius_sedai on 22/11/2012 at 04:19:29 AM
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How many standard deviations is Lanfear - 15/11/2012 06:04:39 PM 2301 Views
Well... - 15/11/2012 07:02:45 PM 1307 Views
Hmm... - 15/11/2012 07:25:34 PM 1433 Views
see we CAN agree on stuff - 15/11/2012 07:56:12 PM 1273 Views
- 18/11/2012 08:37:22 PM 1140 Views
We've always been close with everything except the scale - 18/11/2012 10:29:07 PM 1181 Views
Re: - 18/11/2012 11:07:17 PM 1362 Views
Re: - 19/11/2012 05:16:00 AM 1192 Views
Re: - 19/11/2012 03:13:01 PM 1177 Views
They only reject 37.5%, not 62.5% - 19/11/2012 03:19:19 PM 1202 Views
Re: They only reject 37.5%, not 62.5% - 19/11/2012 04:01:43 PM 1398 Views
Re: They only reject 37.5%, not 62.5% - 19/11/2012 09:04:04 PM 1157 Views
Hmmm... - 20/11/2012 02:08:40 AM 1235 Views
Perhaps, but Egwene is also being a bit dramatic in the scene as she managed - 20/11/2012 04:28:57 AM 1175 Views
Nope... - 20/11/2012 03:13:13 PM 1236 Views
I believe she is being over dramatic - 20/11/2012 03:26:24 PM 1121 Views
Keep believing that... - 20/11/2012 03:30:14 PM 1268 Views
*shrugs* - 20/11/2012 03:49:10 PM 1227 Views
Tired and forkroot are the same now? - 20/11/2012 03:55:22 PM 1104 Views
No it's the literary device - 20/11/2012 04:04:28 PM 1247 Views
This is getting ridiculous... - 20/11/2012 04:43:13 PM 1115 Views
You are missing my point completely - 20/11/2012 04:50:46 PM 1079 Views
Impossible. Daigian is exactly 0.32SD below the mean - 19/11/2012 11:06:04 AM 1182 Views
You keep saying that, but it is either a linear or a non-linear distribution - 19/11/2012 09:09:32 PM 1232 Views
That's the whole point. Thanks for finally seeing it. - 19/11/2012 09:43:27 PM 1194 Views
keep believing that ... but you making up numbers isn't really relevant *NM* - 20/11/2012 04:29:44 AM 772 Views
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 1146 Views
Go read Fionwe's post about it *NM* - 20/11/2012 02:33:19 PM 774 Views
Is that before or after she started juicing? - 15/11/2012 11:04:14 PM 1173 Views
Wouldn't it be 1 in 105 million? - 21/11/2012 04:56:19 PM 1035 Views
Are you sure that it is a normal distribution? - 16/11/2012 04:21:02 PM 1241 Views
Ugh. I hate power level discussions. For real world applications, it should be kind of meaningless - 16/11/2012 10:28:49 PM 1132 Views
I don't really agree - 18/11/2012 08:40:53 PM 1102 Views
Perhaps, but we've seen that a MUCH weaker Channeler can win in a duel - 19/11/2012 09:13:48 PM 1150 Views
Re: Perhaps, but we've seen that a MUCH weaker Channeler can win in a duel - 20/11/2012 08:10:01 AM 1124 Views
probably ... Lanfear/Cyndane is clearly remarkably skilled - 20/11/2012 02:35:09 PM 1167 Views
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 1181 Views
You have proven nothing, except that you have an opinion *NM* - 18/11/2012 02:21:35 AM 749 Views
You simply don't get it. It is mathematically a fact. There is no opinion involved. - 18/11/2012 02:19:40 PM 1019 Views
Only because you've assigned numeric values. That you created. - 18/11/2012 02:40:51 PM 1148 Views
It doesn't matter what figure you use... - 18/11/2012 03:01:56 PM 1033 Views
What if Daigian is one third Lanfear's strength? - 18/11/2012 04:37:58 PM 1188 Views
We have a limit for Daigian's strength, as you well know. - 18/11/2012 05:41:49 PM 1154 Views
Are you kidding me? - 18/11/2012 09:07:38 PM 1278 Views
Sure you can - 18/11/2012 10:09:31 PM 1180 Views
Re: Sure you can - 18/11/2012 10:54:50 PM 1163 Views
You're right, though its 37.5% - 19/11/2012 12:21:29 AM 1116 Views
Oops, typo! - 19/11/2012 02:54:25 AM 1160 Views
Again, not possible, due to Daigian being just 0.3SD below the Mean - 19/11/2012 08:37:01 AM 1113 Views
Egwene is definitely not 2x Amys... - 19/11/2012 04:05:12 PM 1041 Views
Re: Egwene is definitely not 2x Amys... - 19/11/2012 05:55:02 PM 994 Views
Egwene is about as strong as Melaine and Amys combined - 19/11/2012 09:19:50 PM 1117 Views
Re: Egwene is about as strong as Melaine and Amys combined - 20/11/2012 02:11:26 AM 1192 Views
Forkroot in every case - 20/11/2012 04:32:26 AM 1115 Views
No! - 20/11/2012 03:15:16 PM 1105 Views
I'm not going to go re-read the books to you on this - 20/11/2012 03:39:46 PM 1130 Views
You need to read it for yourself, since you're completely confused. - 20/11/2012 03:54:26 PM 1092 Views
Not going to argue this with you. - 20/11/2012 04:09:44 PM 1050 Views
Your own example disproved your point... - 20/11/2012 04:39:25 PM 1169 Views
let's see, she's both asleep and would need hours to regain her strength - 20/11/2012 04:43:17 PM 1070 Views
Enough! - 20/11/2012 05:04:06 PM 1127 Views
LOL ... whatever. You go on believing that ... no one else sees it this way. *NM* - 20/11/2012 05:20:52 PM 737 Views
What a brilliant argument! - 20/11/2012 05:25:18 PM 1139 Views
this is why I refuse to continue this debate - 20/11/2012 05:31:11 PM 1080 Views
Re: Your own example disproved your point... - 20/11/2012 05:10:15 PM 1170 Views
Barasine + Katerine isn't that much less than - 20/11/2012 05:26:31 PM 1175 Views
Re: Barasine + Katerine isn't that much less than - 20/11/2012 05:31:50 PM 1134 Views
Re: Barasine + Katerine isn't that much less than - 20/11/2012 05:42:53 PM 1124 Views
Excuse me? - 20/11/2012 05:28:48 PM 1179 Views
see we can agree on the relative strength of Egwene v. Forsaken - 20/11/2012 05:35:07 PM 1135 Views
??? - 20/11/2012 05:37:01 PM 1234 Views
2 middling sisters - 20/11/2012 05:45:27 PM 1166 Views
Re: Egwene is definitely not 2x Amys... - 20/11/2012 02:26:47 AM 1071 Views
Re: Egwene is definitely not 2x Amys... - 20/11/2012 09:03:40 AM 1100 Views
Re: Egwene is definitely not 2x Amys... - 20/11/2012 02:59:08 PM 1139 Views
None of this is backed by any evidence... - 20/11/2012 03:24:12 PM 1071 Views
who said Cadsuane was 1.5x Moiraine or more? - 20/11/2012 04:03:13 PM 1080 Views
Nope... - 20/11/2012 04:41:35 PM 1106 Views
wrong - 20/11/2012 04:48:50 PM 1024 Views
My bad. Mized up 1/3 and 2/3. - 20/11/2012 05:05:05 PM 1146 Views
gotcha *NM* - 20/11/2012 05:46:21 PM 705 Views
Better evidence? LOL! - 20/11/2012 03:18:55 PM 1115 Views
Huh? How did you come to that conclusion? - 20/11/2012 04:40:56 PM 1120 Views
Exactly *NM* - 20/11/2012 04:55:28 PM 1074 Views
BEcause Cadsuane is close on the heels of Egwene? - 20/11/2012 05:10:50 PM 1033 Views
I'm not arguing that. I agree that Cadsuane is pretty close to Egwene - 20/11/2012 05:50:34 PM 1154 Views
Re: Better evidence? LOL! - 20/11/2012 05:00:47 PM 1034 Views
Interesting, but let's go with your figures... - 19/11/2012 06:54:54 AM 1145 Views
Indeed - 19/11/2012 08:16:44 AM 1208 Views
Rand is sort of a special case - 20/11/2012 04:25:02 AM 1071 Views
Regarding Mesaana... - 20/11/2012 08:42:56 AM 1107 Views
You continue to mix two things - 20/11/2012 03:24:44 PM 1030 Views
No - 20/11/2012 04:54:19 PM 1264 Views
You are mistaken - 20/11/2012 05:04:40 PM 1119 Views
Yes she did Darius! - 20/11/2012 05:27:36 PM 1041 Views
Yet there is no duel - 20/11/2012 06:01:17 PM 1054 Views
Explain the .3xSD thing to me... - 19/11/2012 04:58:57 PM 1276 Views
Probably, but the AS have no idea what 37.5% means - 19/11/2012 02:59:26 AM 1070 Views
It's irrelevant - 19/11/2012 03:46:42 AM 1141 Views
Agreed. Daigian is the marker of the absolute bottom of Aes Sedai strength. - 19/11/2012 06:55:41 AM 1107 Views
Daigian - 19/11/2012 08:12:19 AM 1112 Views
It is a direct marker due to RJ's quote - 19/11/2012 08:50:26 AM 1138 Views
You missed my point - 19/11/2012 09:08:42 AM 1057 Views
Re: You missed my point - 19/11/2012 02:18:33 PM 1164 Views
Asmodean would never have made the comment about 13 weakest AS - 20/11/2012 04:41:11 AM 1076 Views
Re: Asmodean would never have made the comment about 13 weakest AS - 20/11/2012 09:07:49 AM 1065 Views
Which would make an average AS around a 30 - 20/11/2012 04:58:56 PM 955 Views
Re: Sure you can - 19/11/2012 09:22:09 AM 1198 Views
Care to explain this... - 19/11/2012 05:06:28 PM 1022 Views
Indeed - 20/11/2012 07:16:37 AM 1223 Views
Explained far better than I ever could. Bravo. - 20/11/2012 07:30:29 AM 1077 Views
Well duh. - 20/11/2012 02:57:24 PM 1199 Views
Incorrect. - 20/11/2012 04:28:07 PM 1173 Views
No - 20/11/2012 04:44:16 PM 1163 Views
Re: No - 20/11/2012 04:48:36 PM 1134 Views
That depends... - 20/11/2012 05:18:46 PM 1005 Views
Re: That depends... - 20/11/2012 05:31:03 PM 1555 Views
You're integrating without lower limits... - 20/11/2012 02:55:06 PM 1130 Views
Re: You're integrating without lower limits... - 20/11/2012 04:37:57 PM 1177 Views
It matters. - 20/11/2012 05:22:40 PM 1152 Views
We are not talking about a normal distribution in any case - 20/11/2012 04:44:24 AM 971 Views
Re: We are not talking about a normal distribution in any case - 20/11/2012 07:02:47 AM 1177 Views
You must tell me of this special math... - 20/11/2012 03:10:09 PM 1045 Views
Re: You must tell me of this special math... - 20/11/2012 04:29:40 PM 1104 Views
Morghase is a placeholder... - 20/11/2012 04:45:42 PM 1184 Views
Re: Morghase is a placeholder... - 20/11/2012 04:49:54 PM 1475 Views
Why? - 20/11/2012 05:23:29 PM 1142 Views
Re: Why? - 20/11/2012 05:36:45 PM 1453 Views
Well... - 18/11/2012 08:43:59 PM 1177 Views
Re: Well... - 19/11/2012 03:40:44 PM 1157 Views
Wow. - 19/11/2012 03:53:47 PM 1182 Views
Re: Wow. - 19/11/2012 04:26:09 PM 1207 Views
Some points - 19/11/2012 06:03:00 PM 1250 Views
Well then you're both wrong I'm afraid - 19/11/2012 06:09:36 PM 1094 Views
Re: Well then you're both wrong I'm afraid - 19/11/2012 07:42:58 PM 960 Views
this is why I think all of the Forsaken are very close in Power - 20/11/2012 04:51:20 AM 1188 Views
Agreed - 20/11/2012 08:13:37 AM 1222 Views
probably - 20/11/2012 06:18:45 PM 1083 Views
Re: this is why I think all of the Forsaken are very close in Power - 20/11/2012 02:45:18 PM 1088 Views
I think RJ went out of his way to keep strength a bit of a mystery - 20/11/2012 08:42:44 PM 1106 Views
Indeed... - 21/11/2012 05:44:18 PM 1077 Views
I agree - 22/11/2012 01:43:02 AM 1324 Views
Math gurus...Is it possible to find the missing variable... - 21/11/2012 05:12:24 PM 1129 Views
the problem is that the Mean is not going to tell us much really - 22/11/2012 02:55:03 AM 1172 Views
Re: the problem is that the Mean is not going to tell us much really - 22/11/2012 03:15:33 AM 1498 Views
I do not think you can calculate the Mean without knowing the Units of Power - 22/11/2012 03:53:59 AM 1251 Views
Re: Math gurus...Is it possible to find the missing variable... - 23/11/2012 02:59:12 PM 1531 Views
Disregard this post *NM* - 23/11/2012 03:02:24 PM 964 Views

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