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A Selection Paradox

Why All the Hot People
You Date Are Assholes

It's not bad luck. It's not your taste. It's selection geometry.

Here's a pattern everyone recognizes: the attractive people you date tend to have terrible personalities. And the really nice ones? Somehow less attractive.

Most people chalk this up to life's unfairness, or mumble something about trade-offs. Hot people don't need to develop personalities. Nice people compensate for their looks.

But there's a deeper explanation. One that has nothing to do with actual trade-offs between traits. It's called Berkson's Paradox, and once you see it, you'll find it everywhere.

The correlation is real. But it's created by your selection process, not by nature.

PART I

The Dating Paradox

Imagine the dating pool as a 2D space. The X-axis is attractiveness. The Y-axis is personality. Each dot is a person.

In the general population, these traits are uncorrelated. Hot people and ugly people have the same distribution of personalities. The correlation is essentially zero.

DATING POOL FILTER
Your threshold:100
AttractivenessPersonality050100050100
Filtered out: 84
Selected: 116
Population r:
-0.124
Selected r:
-0.503

The pink dashed line is your dating threshold.

You'd date anyone above the line (combined score > 100).

Now watch what happens. As you raise your standards (slide the threshold up), the correlation among people you'd actually date becomes increasingly negative.

This isn't because attractive people have worse personalities. It's pure selection geometry.

The mechanism: Among people who pass your filter, someone with exceptional looks only needed a mediocre personality to make the cut. Someone with exceptional personality only needed mediocre looks. The filter creates the trade-off.

PART II

The Collider Structure

In causal inference, this is called conditioning on a collider. Here's the structure:

AAttractivenessBPersonalityCYou'd Date

A and B are independent. No correlation between attractiveness and personality.

Both attractiveness (A) and personality (B) influence whether someone makes it into your dating pool (C). C is the collider.

When you condition on C (look only at people you'd date), you create a spurious association between A and B. The causal graph literally grows a new edge by selection.

This is Berkson's Paradox: conditioning on a common effect creates correlation between independent causes.

PART III

Real World Examples

The Hospital Paradox

In the general population, diabetes and broken legs are unrelated. But among hospitalized patients, they appear negatively correlated.

HOSPITALIZATION THRESHOLD
Severity for admission:80
Diabetes SeverityLeg Injury Severity050100050100
Filtered out: 79
Selected: 121
Population r:
0.050
Selected r:
-0.390

Patients are hospitalized if either condition is severe enough.

Among the hospitalized, the conditions appear negatively correlated.

Why this matters: Early epidemiological studies made exactly this mistake. They found spurious correlations between unrelated diseases because they only studied hospitalized patients. Joseph Berkson identified this in 1946.

The Startup Paradox

Why do successful startups seem to have either amazing tech OR amazing marketing, but rarely both? In the full population of startups, there's no trade-off. But you only see the successful ones.

SUCCESS THRESHOLD
Combined score needed:120
Technical QualityMarketing Quality050100050100
Filtered out: 146
Selected: 54
Population r:
-0.024
Selected r:
-0.494

Startups succeed with high combined score (tech + marketing).

Among survivors, the qualities appear to trade off.

Survivorship bias + Berkson's: You only observe successful companies. Among those, great tech substitutes for great marketing and vice versa. This creates the illusion of a trade-off that doesn't exist in the underlying population.

Hollywood Actors

Why do movie stars seem dumb? To become famous, you need either exceptional talent OR exceptional looks. Among the famous, talent and looks appear negatively correlated.

Academic Papers

Published papers with surprising results tend to have weaker methodology. Strong methodology + surprising results would definitely get published. Weak methodology only gets through if the results are exciting enough to overlook flaws.

Restaurants on Yelp

Why do cheap restaurants often have better food than expensive ones? You only visit restaurants that are worth it. A cheap place needs great food. An expensive place can coast on ambiance.

PART IV

How to Avoid the Trap

Once you understand Berkson's Paradox, you can catch yourself making this mistake:

1. Ask: What selected this sample?

Before concluding two things are related, ask what process determined which observations you're seeing. Hospital admission, publication, success, your attention - all are selection filters.

2. Draw the causal graph

If two variables both point to a third (the collider), and you're conditioning on that collider, expect spurious correlation. The math is predictable.

3. Look at the unfiltered population

When possible, check if the correlation exists in the general population, not just your selected subset. If it disappears, you've found Berkson's Paradox.

4. Remember: Selection creates structure

Your observations are not a random sample of reality. They're filtered through processes that can create patterns that don't exist in nature.

So about those hot assholes you keep dating...

It's not them. It's not you. It's geometry.

The moment you filter for "worth dating," you create a world where attractiveness and personality trade off. The paradox is built into the selection process itself.

Berkson's Paradox: a reminder that what we observe is always shaped by how we came to observe it.

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Reference: Berkson (1946)