The stupid rich and poor smart do exist

WORDSUM is a variable in the General Social Survey. It is a 10 word vocabulary test. A score of 10 is perfect. A score of 0 means you didn’t know any of the vocabulary words. WORDSUM has a correlation of 0.71 with general intelligence. In other words, variation of WORDSUM can explain 50% of the variation of general intelligence. To the left is a distribution of WORDSUM results from the 2000s. As you can see, a score of 7 is modal. In the treatment below I will label 0-4 “Dumb,” 5-7 “Not Dumb,” and 8-10 “Smart.” Who says I’m not charitable? You also probably know that general intelligence has some correlation with income and wealth. But to what extent? One way you can look at this is inspecting the SEI variable in the GSS, which combines both monetary and non-monetary status and achievement, and see how it relates to WORDSUM. The correlation is 0.38. It’s there, but not that strong.

To further explore the issue I want to focus on two GSS variables, WEALTH and INCOME. WEALTH was asked in 2006, and it has a lot of categories of interest. INCOME has been asked a since 1974, but unfortunately its highest category is $25,000 and more, so there’s not much information at the non-low end of the scale (at least in current dollar values).

Below you see WEALTH crossed with WORDSUM. I’ve presented columns and rows adding up to 100%. Then you see INCOME crossed with WORDSUM. I’ve just created two categories, low, and non-low (less than $25,000 and more). Additionally, since the sample sizes were large I constrained to those 50 years and older for INCOME.

Wealth & Intelligence (2006)
Columns = 100%
Less than $40 K $40-$100 K $100-$250 K $250-$500 K More than $500 K
Dumb 22 14 12 13 5
Not Dumb 55 65 63 57 48
Smart 23 22 25 31 47
Row = 100%
Less than $40 K $40-$100 K $100-$250 K $250-$500 K More than $500 K
Dumb 50 13 18 16 4
Not Dumb 32 16 24 18 10
Smart 29 11 20 20 20
Income & intelligence (2000-2008), age 50 and above


Columns = 100%
Low Not Low
Dumb 32 11
Not Dumb 50 50
Smart 18 39
Row = 100%
Low Not Low
Dumb 58 42
Not Dumb 32 68
Smart 17 83

Of those with low income, about 1 out of 5 are smart. And of those who are smart, 1 out of 5 are poor. Remember, this is for those above the age of 50, not college students. I thought perhaps retirees might be skewing this. Constraining it to 50-64 changes the results some in a significant fashion. 1 out of 5 poor remain smart, but only 1 out of 10 of the smart are poor. As for the rich dumb, you have to look to wealth. It is notable to me that there’s a big drop off at more than $500,000 dollars in wealth. And, a large fraction of those with wealth in the $100,000 to $500,000 are dumb. I think we might be seeing the 2000s real estate boom.

In any case, I began to think of this after a recent post by the quant-blogger Audacious Epigone, Average IQ by occupation (estimated from median income). This is what he did:

…It’s not supposed to be an exact measure of IQ by profession by any means, as it is based entirely on average annual income figures. In other words, it’s an income table with the values converted to IQ scores….

…the following table estimates average IQ scores by occupation solely on the basis of the Career Cast mid-level income figures. The median salary (of a paralegal assistant) is taken to correspond to an IQ of 100. One standard deviation is assumed to be 15 IQ points….

You can see the full list at the Audacious Epigone‘s place, but here’s a selection I found of interest:

Occupation Estimated IQ from median income
Surgeon 234
Physician 161
CEO 148
Dentist 140
Attorney 128
Petroleum engineer 126
Pharmacist 126
Physicist 125
Astronomer 125
Financial planner 123
Nuclear engineer 121
Optometrist 121
Aerospace engineer 120
Mathematician 120
Economist 117
Software engineer 117
School principle 116
Electrical engineer 115
Web developer 115
Construction foreman 115
Geologist 114
Veterinarian 114
Mechanical engineer 113
Biologist 111
Statistician 111
Architect 111
Chemist 109
Stockbroker 109
Registered nurse 107
Historian 107
Philosopher 106
Accountant 106
Farmer 105
Zoologist 104
Author 103
Undertaker 103
Librarian 103
Anthropologist 103
Dietician 102
Archeologist 102
Physiologist 102
Teacher 102
Police officer 101
Actor 101
Electrician 100
Paralegal 100
Plumber 100
Clergy 98
Social worker 97
Carpenter 97
Machinist 96
Nuclear decontamination technician 96
Welder 95
Roofer 95
Bus driver 95
Agricultural scientist 95
Typist 94
Travel Agent 93
Butcher 92
Barber 90
Janitor 90
Maid 88
Dishwasher 88

Off the top of my head, I would say that the highest disjunction in the low income direction would be clergy. This is especially true for Roman Catholic and mainline Protestant denominations in the United States, which have moderately stringent educational prerequisites for their clerics. I assume that the biggest in the other direction are surgeons and medical doctors, who enter a market where there’s less and less real price signalling, where labor controls the supply of future labor, as well as well influencing the range of services that competitive professions (e.g., nurses) can provide.

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