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Here is an example with an absolute scale, converted to relative BlackAdder Send a noteboard - 18/12/2009 01:03:38 AM
It is, after all, merely a representation, and it doesn't make an ounce of actual difference if we take the range to be 1 to 1 million. The inescapable conclusion that most channelers have half of Rand's effective strength is still going to be there.

As for what the standard deviation here is, it seems clear, given the general rule of normal distributions that 68% of the population falls within one standard deviation of the mean, that the standard deviation is going to be rather high because the weakest Aes Sedai has 37.5% of channelers weaker than her according to RJ. This means that the one standard deviation exceeds the range from the weakest AS to a woman of strength 50.

Given a 21 level list, I'd say each level is of 4.75 strength, making the halfway mark to be around 50. Works well enough, overall.


These are just example. Again, I don't care if you think they are right or wrong - I'm trying trying to talk about statistics.

Rand - 25,000 units of OP
Moridin - 24,500
Lanfear - 24,000
Semirhage - 20,000
Nynaeve - 19,500
Moghiedien - 15,000
Egwene - 10,000
Moiraine - 4,000
The average AS - 3,000
Siuan - 2000

Considering the tower has ~1000 AS, and going by normal distribution, there will be 68% of AS within one standard deviation. That means, if we assume 3,000 units is the Tower mean, then 68% will be within one SD of that. The SD will be whatever strength level accounts for 34% of AS greater than the mean (or 34% less than the mean), going in sequential order of strength.

Let's just assume that that the standard deviation in the tower is 500 units. That puts Moirane (4,000 units) in the top 2.5% of the Tower (25 strongest Aes Sedai) and the new Siuan (2,000 units) in the bottom 2.5 % of the Tower (25 weakest Aes Sedai).
Each is 2 standard deviations from the mean of 3,000, which means the middle of the bell curve accounts for 95% of sisters, with Moiraine and Siuan on opposite ends of the curve.

Notice that the "Big Dogs" are well above that. You have to consider that there are very few "Big Dogs" compared to your run of the mill AS.

I believe Sidious' scale was meant to be (or should be) some sort of exponential scale. There is no way that 2 average AS would be able to subdue Rand (in fact, they can't).
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The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha Sidious - 17/12/2009 03:32:03 PM 8685 Views
I assume you're referring to EFFECTIVE strength here... Shannow - 17/12/2009 04:27:53 PM 1730 Views
Re: I assume you're referring to EFFECTIVE strength here... Sidious - 17/12/2009 05:05:18 PM 1700 Views
Fair enough but the problem is... Shannow - 17/12/2009 05:13:39 PM 1507 Views
There's one thing that does suggest Lanfear is very dextrous... fionwe1987 - 17/12/2009 05:49:14 PM 1618 Views
Re: Fair enough but the problem is... Sidious - 17/12/2009 08:08:27 PM 1185 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha darius_sedai - 17/12/2009 04:52:56 PM 1639 Views
Alivia's rings and chains angreal multiplies strength by 4 times or more... Shannow - 17/12/2009 04:57:17 PM 1488 Views
Indeed, and not only that Sidious - 17/12/2009 05:10:46 PM 1183 Views
Re: Alivia's rings and chains angreal multiplies strength by 4 times or more... darius_sedai - 17/12/2009 06:07:39 PM 1228 Views
Moiraine at 45 strength is way too high. She can't be that high. *NM* Logain - 17/12/2009 07:44:50 PM 787 Views
why? darius_sedai - 17/12/2009 07:57:37 PM 1311 Views
Re: why? Sidious - 17/12/2009 08:11:13 PM 1377 Views
I don't think there is one scale you can put both men and women on is the point darius_sedai - 17/12/2009 08:21:21 PM 1337 Views
and yet RJ does Sidious - 17/12/2009 08:27:39 PM 1259 Views
Re: and yet RJ does darius_sedai - 17/12/2009 09:49:20 PM 1135 Views
Re: and yet RJ does Sidious - 18/12/2009 04:20:16 AM 1191 Views
No more liberty than you are taking assuming only a woman like Graendal could do it! darius_sedai - 18/12/2009 05:08:04 PM 1341 Views
Re: No more liberty than you are taking assuming only a woman like Graendal could do it! Sidious - 19/12/2009 11:53:24 AM 1089 Views
Re: No more liberty than you are taking assuming only a woman like Graendal could do it! darius_sedai - 19/12/2009 05:12:47 PM 1029 Views
Meh... Sidious - 19/12/2009 06:01:56 PM 1036 Views
Re: Meh... darius_sedai - 19/12/2009 06:43:58 PM 1094 Views
Re: Meh... darius_sedai - 19/12/2009 06:46:03 PM 1380 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha Sidious - 17/12/2009 05:07:28 PM 1312 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha darius_sedai - 17/12/2009 06:24:12 PM 1234 Views
Let's work with your figures... Shannow - 17/12/2009 06:45:46 PM 1136 Views
Re: Let's work with your figures... darius_sedai - 17/12/2009 07:16:49 PM 1151 Views
You have a good point about Daigian and Semirhage. That may have been a BS mistake. *NM* Logain - 17/12/2009 07:50:25 PM 755 Views
Re: You have a good point about Daigian and Semirhage. That may have been a BS mistake. darius_sedai - 17/12/2009 07:59:13 PM 1247 Views
Still, it's created more questions than it has solved. Logain - 17/12/2009 08:13:26 PM 1266 Views
the obvious answer darius_sedai - 17/12/2009 10:06:33 PM 1111 Views
Re: You have a good point about Daigian and Semirhage. That may have been a BS mistake. Sidious - 17/12/2009 08:14:01 PM 1142 Views
Re: two women holding Nynaeve Logain - 17/12/2009 08:17:10 PM 1099 Views
Re: two women holding Nynaeve Sidious - 17/12/2009 08:19:34 PM 1277 Views
I personally think Nynaeve gained strength slower than most because of her block. Logain - 17/12/2009 08:30:44 PM 1357 Views
I think all the main characters were forced Sidious - 17/12/2009 08:38:41 PM 1242 Views
agreed! darius_sedai - 17/12/2009 10:01:37 PM 1167 Views
but we know as late as WH that she has not reached her full potential darius_sedai - 17/12/2009 09:50:12 PM 1174 Views
What? Where? *NM* Sidious - 18/12/2009 04:22:36 AM 1222 Views
I'll have to dig up the quote, apologies but I'm at work and don't have the books darius_sedai - 18/12/2009 05:00:20 PM 1156 Views
Sorry, Path of Daggers not Winter's Heart darius_sedai - 20/12/2009 03:32:33 AM 1110 Views
Don't links amplify stength? BlackAdder - 17/12/2009 10:26:12 PM 1062 Views
The opposite, actually. Phelix - 17/12/2009 10:36:51 PM 1165 Views
Gateway theory refutes this. The size of gateway is relevant to strength Logain - 17/12/2009 07:46:55 PM 1078 Views
Re: Gateway theory refutes this. The size of gateway is relevant to strength darius_sedai - 17/12/2009 07:55:38 PM 1264 Views
What do you think of the gap between Moghedien and Semirhage in relation to Logain - 17/12/2009 05:40:41 PM 1313 Views
It means even Moghedien is vastly stronger than the average modern Aes Sedai... Shannow - 17/12/2009 05:48:09 PM 1287 Views
Re: What do you think of the gap between Moghedien and Semirhage in relation to Sidious - 17/12/2009 08:15:58 PM 1209 Views
Agreed! *NM* Logain - 17/12/2009 08:19:08 PM 671 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha RugbyPlayingAshaman - 17/12/2009 06:47:23 PM 1301 Views
Except tthat Egwene herself says she has no chance against Moghedien... Shannow - 17/12/2009 06:53:18 PM 1226 Views
Re: Except tthat Egwene herself says she has no chance against Moghedien... RugbyPlayingAshaman - 17/12/2009 07:26:55 PM 1448 Views
uhm.... yes she knows Oberonus - 17/12/2009 08:04:08 PM 1297 Views
Re: uhm.... yes she knows RugbyPlayingAshaman - 17/12/2009 10:24:17 PM 1185 Views
yup *NM* darius_sedai - 17/12/2009 10:49:51 PM 629 Views
Re: Except tthat Egwene herself says she has no chance against Moghedien... darius_sedai - 17/12/2009 07:28:00 PM 1266 Views
Re: Except tthat Egwene herself says she has no chance against Moghedien... Sidious - 17/12/2009 08:23:01 PM 1448 Views
Ishamael told her that she would never be strong enough to face him darius_sedai - 17/12/2009 09:52:47 PM 1205 Views
And Ishamael was killed be a shepherd and Bel'al balefired by a "weak" Aes Sedai. RugbyPlayingAshaman - 17/12/2009 10:33:41 PM 1154 Views
I hope that's not your standard for dueling Sidious - 18/12/2009 04:24:09 AM 1173 Views
what you expect a Channeler to announce themselves and darius_sedai - 19/12/2009 12:47:17 AM 1170 Views
How can we be certain Egwene was at full strength when she said that? Logain - 17/12/2009 07:58:39 PM 1123 Views
agreed darius_sedai - 17/12/2009 08:00:40 PM 1072 Views
Elayne says Egwene was at her full strength in TSR, and thus was stronger than she currently was. RugbyPlayingAshaman - 17/12/2009 10:25:31 PM 1050 Views
Elayne says Egwene was forced and was thus currently stronger darius_sedai - 17/12/2009 10:51:28 PM 1086 Views
Definitely TSR, because I re-read that book constantly - will try to find the section! RugbyPlayingAshaman - 17/12/2009 11:23:20 PM 1083 Views
Re: Definitely TSR, because I re-read that book constantly - will try to find the section! darius_sedai - 17/12/2009 11:25:31 PM 1096 Views
Didn't the glossary say that Cadsuane was not far behind Eg/El? *NM* Cannoli - 17/12/2009 08:05:32 PM 685 Views
I'll check *NM* Sidious - 17/12/2009 08:28:57 PM 647 Views
This thread has achieved absolutely nothing. When people don't accept quotes, what's the use... Shannow - 17/12/2009 10:22:45 PM 1217 Views
No people just interpret things differently darius_sedai - 17/12/2009 10:56:45 PM 1025 Views
But you ignore RJ's own quotes... who're you to talk? fionwe1987 - 17/12/2009 11:13:40 PM 962 Views
I think they are secretly just trying to make Lanfear appear that much stronger *NM* darius_sedai - 17/12/2009 11:17:38 PM 610 Views
You also forget something. Phelix - 17/12/2009 11:36:50 PM 1061 Views
Re: You also forget something. darius_sedai - 17/12/2009 11:43:50 PM 1088 Views
Re: You also forget something. Phelix - 18/12/2009 02:09:08 AM 1105 Views
That has nothing to do with what I said... fionwe1987 - 18/12/2009 12:21:06 AM 1088 Views
Re: That has nothing to do with what I said... Sidious - 18/12/2009 01:28:53 PM 991 Views
Dude, prove it in a random sample, not in a skewed sample like "women who want to be Aes Sedai". fionwe1987 - 18/12/2009 05:43:22 PM 1019 Views
Show me a random sample in the series that we can use *NM* Sidious - 18/12/2009 06:45:08 PM 1006 Views
I cannot. That's the point... fionwe1987 - 18/12/2009 08:33:38 PM 1052 Views
Re: I cannot. That's the point... Sidious - 19/12/2009 11:58:39 AM 1066 Views
Sorry, but no... fionwe1987 - 19/12/2009 06:23:41 PM 1077 Views
The One Power Bell Curve's average strength is not 50, it is more like 15... Shannow - 17/12/2009 11:41:48 PM 1563 Views
but you are the person quantifying the actual strength levels. darius_sedai - 18/12/2009 12:09:08 AM 1051 Views
Yes, Sidious' scale is a relative scale not an absolute one *NM* BlackAdder - 18/12/2009 12:23:25 AM 947 Views
In a Bell curve, mean=median=mode. I suppose that is untrue now? fionwe1987 - 18/12/2009 12:37:47 AM 1002 Views
Re: In a Bell curve, mean=median=mode. I suppose that is untrue now? BlackAdder - 18/12/2009 12:47:52 AM 1054 Views
What do you mean, relative scale? fionwe1987 - 18/12/2009 12:53:29 AM 1011 Views
Re: What do you mean, relative scale? BlackAdder - 18/12/2009 01:16:53 AM 950 Views
Re: What do you mean, relative scale? fionwe1987 - 18/12/2009 01:40:33 AM 1023 Views
OK, I have no interest in OP Strength, but you comments about statistics and bell curve got me BlackAdder - 18/12/2009 12:20:27 AM 1059 Views
1 to 100 works perfectly well as a range... fionwe1987 - 18/12/2009 12:47:44 AM 983 Views
Here is an example with an absolute scale, converted to relative BlackAdder - 18/12/2009 01:03:38 AM 1104 Views
The Tower is not the whole range of channeler population! fionwe1987 - 18/12/2009 01:28:38 AM 1122 Views
Re: The Tower is not the whole range of channeler population! BlackAdder - 18/12/2009 02:03:00 AM 1173 Views
Re: The Tower is not the whole range of channeler population! fionwe1987 - 18/12/2009 03:16:25 AM 1122 Views
You're right, and that proves my point - here are the calculations and the evidence... Shannow - 18/12/2009 07:51:26 AM 1089 Views
Dude, read up on some statistics, then we'll continue this debate... fionwe1987 - 18/12/2009 06:05:26 PM 1015 Views
Explain one thing to me... Shannow - 18/12/2009 10:40:00 PM 1041 Views
Who said she's stronger than two very strong AS? Silviana can shield her alone! *NM* fionwe1987 - 18/12/2009 11:01:01 PM 583 Views
Aviendha said so in FoH. It is a direct quote. Shannow - 18/12/2009 11:04:21 PM 1004 Views
This is why I have a hard time with anyone using too many darius_sedai - 19/12/2009 12:22:40 AM 1041 Views
Can you provide the quote? fionwe1987 - 19/12/2009 06:24:40 PM 947 Views
Well, I was curious so I went and found it darius_sedai - 26/12/2009 08:59:46 PM 1132 Views
which is also suspect darius_sedai - 19/12/2009 12:04:14 AM 1044 Views
No it's not Sidious - 19/12/2009 12:04:21 PM 1027 Views
we're in agreement darius_sedai - 19/12/2009 05:22:34 PM 986 Views
OK, the Tower AS don't fall into a bell-curve, then. BlackAdder - 18/12/2009 10:34:16 PM 1050 Views
So, RJ made that statement for what reason? fionwe1987 - 18/12/2009 11:03:30 PM 1026 Views
I don't think it's a lie BlackAdder - 18/12/2009 11:19:41 PM 1073 Views
Agreed Sidious - 18/12/2009 01:04:14 PM 1013 Views
Re: But you ignore RJ's own quotes... who're you to talk? Sidious - 18/12/2009 04:31:53 AM 1014 Views
Re: But you ignore RJ's own quotes... who're you to talk? fionwe1987 - 18/12/2009 04:42:33 AM 987 Views
Re: But you ignore RJ's own quotes... who're you to talk? Sidious - 18/12/2009 01:04:39 PM 1044 Views
Bell curves CANNOT be skewed! fionwe1987 - 18/12/2009 06:06:15 PM 1091 Views
I've discussed this before... fionwe1987 - 18/12/2009 01:06:07 AM 1085 Views
Re: I've discussed this before... Sidious - 18/12/2009 04:37:30 AM 1069 Views
Re: I've discussed this before... fionwe1987 - 18/12/2009 04:58:48 AM 1040 Views
Egwene + Lelaine + Romanda is weaker than one male Forsaken...according to Egwene herself... Shannow - 18/12/2009 07:02:28 AM 1077 Views
Why are you entertaining this? Sidious - 18/12/2009 01:19:25 PM 1055 Views
The other poster showed no proof that RJ's math was wrong. Read what he said again! *NM* fionwe1987 - 18/12/2009 06:09:49 PM 625 Views
Verin's circle matched Granedal dude. And average strength does not mean great strength. fionwe1987 - 18/12/2009 06:07:51 PM 1062 Views
Re: Egwene + Lelaine + Romanda is weaker than one male Forsaken...according to Egwene herself... darius_sedai - 19/12/2009 12:46:18 AM 1060 Views
I can't imagine it being about skill Sidious - 19/12/2009 12:06:42 PM 1085 Views
of course it's about skill darius_sedai - 19/12/2009 05:22:45 PM 1058 Views
Not it isn't! Sidious - 19/12/2009 05:52:02 PM 1080 Views
If she was only thinking about strength why then didn't she have a plan to add Sheriam darius_sedai - 19/12/2009 07:09:08 PM 1005 Views
I always thought that without her angreal... everynametaken - 18/12/2009 06:27:07 AM 1134 Views
Egwene, Elayne, and Aviendha are equally matched. Heiko - 18/12/2009 07:47:03 AM 1286 Views
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