Estimating Aella's IQ
Women tend to biologically develop faster than men do, so they score higher on IQ tests when they are younger (Lynn, 1994). As they grow older, the advantage men have in brain size starts to increase, leading to a sex difference in IQ of roughly 3-4 points. I’m not sure if this also translates to a difference in latent intelligence - but I’m estimating IQ scores, so that is irrelevant.
I have several sources which try to quantify the correlation between adult IQ and childhood IQ:
11 years old to 70 years old -> rxx=.66 (Kaufman, 2012) n>10000
12 years old to 50 years old -> r=.85 (Shalke, 2013) n=344, IQ test has 9 subtests
average of 3 tests -> r=.85 (Hsu, 2011)
Overall, the correlation between IQ between ages of 6-12 and adulthood seems to converge to about .7 or so.
Applying a correction for regression to the mean of .7 and a subtraction of 2 points applied due to the fact she is a woman, I find that Aella has an IQ of roughly 132.4 with a standard error of 10.7
g <- rnorm(60000000, mean=0)
iq <- 0.7*g + rnorm(60000000)*sqrt(1-0.7^2)
subby1 <- data.frame(iq, g)
subby2 <- subset(subby1, (subby1$iq > 3 & subby1$iq < 3.2))
mean(subby2$g)*15
sd(subby2$g)*15