VincentYu comments on [Link] Your Elusive Future Self - Less Wrong
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To give a specific example: If personality can be modeled over time as a martingale—meaning that the expected future personality is always equal to the current personality—then it is quite appropriate for participants to provide their current personality as a prediction of their future personality, even if they think that the standard deviation of the martingale is large.
More generally, given the current personality
and random variable
following the distribution of predicted future personality, the predicted change in personality can be characterized by the expected absolute deviation
or the expected squared deviation
. However, study 1 in the paper measured the absolute expected deviation
instead, which is a poor measure. (This limitation of the study is understandable because collecting data on
and
is relatively easy.)
The authors tried to circumvent this limitation in a replication of study 1 by asking each participant to directly predict change rather than inferring predicted change from
and
. P. 97 column 2:
I think there is an interpretational issue here—we cannot be sure if the participants actually estimated something similar to the expected absolute deviation
. If the participants relied on imagining a future self, then this will again give the absolute expected deviation
.
I'm surprised that the authors did not report whether any of the Big Five personality domains mediated this "end of history illusion". That seems like an obvious thing to check. Maybe they're saving that for a later paper.
In other words, take the outside view.
The distinction you highlight between the expected absolute deviation and the absolute expected deviation seems extremely important; Jordan Ellenberg says that the study is measuring one and calling it the other, and goes on to say (emphasis added)
Thanks for the link. Ellenberg gives a great analogy to stock prices and points out something important: the study measured the absolute expected deviation
for the predictors, but measured the expected absolute deviation
for the reporters.
This difference can explain the observed discrepancy between the two groups without invoking the "end of history illusion" because
.
This difference came about because obtaining an X+10-year-old's report of current personality is equivalent to drawing a random sample from an X-year-old's distribution of actual future personality, but the X-year-olds' are providing point-estimates (of something like the mean) from their distributions of predicted future personality.