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Returns reporting capital gains and Median household income (model-based)

Across 3,121 counties, Returns reporting capital gains and Median household income (model-based) have a link of +0.56, on a scale from −1 (opposite) to +1 (in step). But compare places with the same population density, income and education, and what is left could easily be chance. Most of the first figure came from both measures following how urban, rich and educated a place is, not from a link with each other.

Mostly gone after adjusting

Every place, plotted

One dot for each place reporting both measures. Hover over or tap a dot to see its name and values. The thin line is the straight line that best fits the dots. The bold line, shown for counties, is the link after adjusting for density, income and education. A dot far from the lines is a place that does not follow the pattern.

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What each measure is

Returns reporting capital gains

The percentage of tax returns reporting a capital gain: profit from selling something like stock or property.

IRS Statistics of Income · IRS SOI N01000 / N1

Median household income (model-based)

The income of the middle household. It is an estimate from a statistical model that combines survey answers with tax and government-program records.

Census SAIPE · Census SAIPE SAEMHI_PT

Highest and lowest

Where each measure is highest and lowest among the places reporting both (2023), with the other measure beside it. This is shown for every size of place where both are published. Metro-area values are added up from their counties. A measure that cannot be added up across counties, such as a middle value (median), has no metro figure. Counts are shown per 1,000 residents, since raw totals would only list the largest places. Cities and towns and ZIP codes are shown where the Census survey or the CDC publishes them; most other sources stop at the county. They are shown for places of 5,000 residents or more, and only where the survey’s margin of error is small enough for the figure to be usable. The CDC publishes its health estimates for cities in a version adjusted for age, so places with older or younger people can be compared fairly, but not for ZIP codes.

Counties

By returns reporting capital gains

Returns reporting capital gainsMedian household income (model-based)
Highest
Harding County, SD46.6%$59,255
McPherson County, NE45%$55,174
Garfield County, MT44.4%$53,069
Carter County, MT44.1%$55,704
Marin County, CA43.9%$139,200
Lowest
Loving County, TX0%$86,760
King County, TX0%$85,720
Kenedy County, TX0%$43,037
Kusilvak Census Area, AK0.722%$42,029
Starr County, TX2.19%$38,824

By median household income (model-based)

Returns reporting capital gainsMedian household income (model-based)
Highest
Loudoun County, VA31%$173,660
Santa Clara County, CA37.1%$154,570
San Mateo County, CA35.7%$151,000
Los Alamos County, NM31%$146,210
Falls Church city, VA41.9%$145,760
Lowest
Claiborne County, MS4.45%$28,579
Holmes County, MS3.78%$30,542
Humphreys County, MS5.21%$31,538
Buffalo County, SD10.3%$32,803
Leflore County, MS7.26%$33,945
States

By returns reporting capital gains

Returns reporting capital gainsMedian household income (model-based)
Highest
District of Columbia23.9%$104,640
Washington23.4%$94,553
Massachusetts22.8%$99,750
New Jersey22.4%$99,716
Connecticut22.3%$91,477
Lowest
Mississippi10.1%$54,386
West Virginia11.2%$55,875
Alabama12.8%$62,248
Louisiana13.1%$58,273
New Mexico13.4%$62,286

By median household income (model-based)

Returns reporting capital gainsMedian household income (model-based)
Highest
District of Columbia23.9%$104,640
Massachusetts22.8%$99,750
New Jersey22.4%$99,716
Maryland18.4%$98,568
New Hampshire22%$97,031
Lowest
Mississippi10.1%$54,386
West Virginia11.2%$55,875
Louisiana13.1%$58,273
Arkansas13.7%$58,748
Kentucky13.6%$61,099
Metro areas — Median household income (model-based) is not published for metro areas

By returns reporting capital gains

Returns reporting capital gainsMedian household income (model-based)
Highest
Wildwood-The Villages, FL37.9%—
San Jose-Sunnyvale-Santa Clara, CA36.3%—
Jackson, WY-ID35.2%—
Boulder, CO34.6%—
Heber, UT33.1%—
Lowest
Rio Grande City-Roma, TX2.19%—
Eagle Pass, TX2.5%—
Gallup, NM3.21%—
Raymondville, TX3.64%—
El Centro, CA3.72%—

Counties furthest from the pattern

Compared with the straight line that best fits all 3,143 counties: the five with far more median household income (model-based) than their returns reporting capital gains would suggest, and the five with far less.

Returns reporting capital gainsMedian household income (model-based)
Above the line
Loudoun County, VA31%$173,660
Stafford County, VA15.8%$130,750
Prince William County, VA16.5%$128,760
Santa Clara County, CA37.1%$154,570
Los Alamos County, NM31%$146,210
Below the line
Garfield County, MT44.4%$53,069
Blaine County, NE43.5%$52,512
McPherson County, NE45%$55,174
Keya Paha County, NE41.5%$52,077
Carter County, MT44.1%$55,704

Two series, one county

Both measures over time for a county you pick. The two charts are stacked, so they share only the years along the bottom. You can pick from the thirty largest counties reporting both. This panel covers 2010–2024, and a measure published only once shows as a single dot.

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Every version of the link

Each row measures the same link, from −1 to +1, in a different way. If the rows mostly agree, the link does not depend on one choice of method.

Before adjusting for anything+0.5593,121 counties reporting both
After adjusting for density, income and education+0.059the part of the link that is not just how urban, rich and educated a place is
Also adjusting for population size+0.082size taken out as well as density
Also comparing only within each state+0.076each county is compared only with others in its own state, so this is no longer a comparison between states
Giving bigger counties more weight-0.018the adjusted link for the average resident rather than the average county. With this weighting, the data counts for about 287 equally weighted counties
Middle value inside single states+0.634the link worked out inside each of 40 states with at least 20 counties reporting
Using ranks, after adjusting+0.162uses each county’s rank, not its value, so a few extreme counties cannot create the link

How much to believe it

Could it be chance?

The p-value is the chance of seeing a link this strong if there were really none. A value of 0.05 or less means the link is unlikely to be chance. Very small values are written in short form: 3.1e-16 means 0.00000000000000031, and the bigger the number after “e-”, the smaller the value. Treating every county as a separate case gives p = 0.001. But counties in the same state tend to resemble each other, so the better figure allows for that: p = 0.170. The site tested 20,910 pairs, and testing so many turns up some flukes. The q-value allows for that too. For this pair it is 0.002.

Do nearby places look alike?

Moran’s I measures how much nearby places look alike: 0 means no map pattern, and higher means neighbours are more similar. For the part of each county that the adjustment leaves unexplained, it is +0.09 (p = 0.001). Once the adjustment is made, little map pattern is left.

Did they change together?

The figures above compare counties at one moment. This asks a different question: where returns reporting capital gains rose most, did median household income (model-based)move too? Each county’s change is compared with the average change in its own state. That takes out ups and downs that hit a whole region at once. Each change is the gap between two estimates that both contain some error. That error pulls these links towards zero, so a weak one is weak partly for that reason. The q column shows whether a link could be a fluke, allowing for the many pairs tested: 0.05 or less means it is unlikely to be chance.

PeriodCountiesChange togetherWithin statesq
2014–2019 the main test: each Census survey figure averages five years, and these two do not overlap; before the pandemic3,132+0.08+0.070.161
2019–2023 a repeat check: its two five-year survey figures both include 2019, and it covers the COVID years3,132+0.03+0.010.625

Over the main period, any link between the changes could easily be chance. How change is measured.

Related pairs

Association only. Nothing here shows that either measure changes the other. This describes counties, not the people in them. Two measures going together across places does not mean the same people have both. How the US county data works · Explore Returns reporting capital gains and Median household income (model-based)