3 ms·
First of all, base rates matter. Here's a simplified proof: Suppose you want to know if X is true. You have evidence E which is correlated with X - suppose A =
by yummyfajitas 10y ago
First of all, base rates matter. Here's a simplified proof:
Suppose you want to know if X is true. You have evidence E which is correlated with X - suppose A = P(E|X) > 0.5 and B = P(!E|!X) > 0.5. Bayes rule shows:
P(X|E) = P(E|X) P(X) / P(E) = P(E|X)P(X) / (P(X)A + (1-B)P(!X))
= P(X)A / (P(X)(A+1-B) + 1-B)
Differentiating this w.r.t. P(X) shows that it monotonically increases with P(X). QED.
Now I'm not disputing - at all - that human biases exist. Far from it! What I'm asking is whether the behaviors discovered in this article are biases (errors that result in worse decisions) or merely accurate use of priors (using correct base rate knowledge to make better decisions).
In the case of orchestras the answer is pretty clearly yes. Similarly in the case of baseball. In college admissions and lending the answer is likely to be no [1]. This article completely ignores the question!
[1] https://randomcriticalanalysis.wordpress.com/2015/05/16/on-concentrated-poverty-and-its-effects-on-academic-outcomes/ https://randomcriticalanalysis.wordpress.com/2015/05/16/on-c... http://ftp.iza.org/dp8733.pdf http://ftp.iza.org/dp8733.pdf https://randomcriticalanalysis.wordpress.com/2015/11/22/on-the-relationship-between-negative-home-owner-equity-and-racial-demographics/#my_analysis https://randomcriticalanalysis.wordpress.com/2015/11/22/on-t...
- ubernostrum 10y ago1. Argue that yummyfajitas is known to often be wrong, and in fact terribly wrong, thus justifying bias against acceptance of any views advanced by yummyfajitas. 2. Spread this now rationally-supported (on base rate grounds) bias among many people. 3. Find some time later that yummyfajitas' views are overwhelmingly rejected by persons reached in step 2. 4. Declare bias established in step 1 to be retroactively objectively correct after observing how yummyfajitas' posts fare with observers, and note that even yummyfajitas will not be able to argue with it, as the correctness will be demonstrated by yummyfajitas' own argument in comment above.
- yummyfajitas 10y agoThe chain of reasoning you advocate for is circular - the validity of step 1 is dependent on the conclusion in step 4, but step 4 depends on step 1. The same is not true of the chain of reasoning I suggested.