DTP3 immunisation vs. Legal system and property rights (Fraser)
Fades after adjusting for income
Across 161 countries, DTP3 immunisation and Legal system and property rights (Fraser) rise and fall together at r = +0.52 (on a scale from −1 to +1, where 0 means no link). Comparing only countries with similar income (GDP per person) shrinks it to +0.20, which could easily be chance (q = 0.55, allowing for the many pairs tested, and allowing for countries in the same region being alike). So the first figure mostly shows richer countries differing from poorer ones, not a link between these two things. Caution: direction is not consistent across regions.
Comparing countries across the middle half of legal system and property rights (Fraser), 4.2 to 6.44 points, DTP3 immunisation is better by 8.58% of children aged 12-23 months at the top of that range than the bottom. Comparing only countries with similar national income, the gap is 4.43% of children aged 12-23 months.
Link before adjusting (r)+0.516p = 2.4e-12 · 161 countries
After adjusting for national income+0.197p = 0.013 · likely range [+0.04, +0.34]
p, allowing for regions0.259standard error 0.158 · 7 regions
Check for luck (q)0.548across 17,292 pairs
How to read these.r runs from −1 (one goes up as the other goes down) to +1 (they rise together), and 0 means no link. Adjusting for national income means comparing countries with the same GDP per person, so differences in wealth can’t explain the link. Income is used in percentage terms, since an extra $1,000 means more to a poor country than to a rich one. p is how likely a link this strong would be if there were really none. Below 0.05 means it is unlikely to be chance. Very small values are written in short form: 1.1e-32 means a decimal point followed by 31 zeros and then 11, so very close to zero. The likely range is where the true figure probably lies, and a range that crosses zero means the link could easily be chance. Countries in the same region tend to resemble each other, so the third figure allows for that, which gives a fairer p. The standard error is the typical size of the error in r. Finally, testing this many pairs means some will look strong by luck alone. A q below 0.05 means this link is unlikely to be one of those.
DTP3 immunisation · % of children aged 12-23 monthslink with income +0.53 · moderate
Legal system and property rights (Fraser) · rating (0-10)link with income +0.81 · proxy
“Link with income” is how closely each measure tracks GDP per person across countries, from −1 to +1.
Every country as a dot
best-fit line line after adjusting
Four ways to measure the link
| Method | r | p | Countries |
|---|---|---|---|
| Standard (Pearson), not adjusted | +0.516 | 2.4e-12 | 161 |
| By rank (Spearman), not adjusted | +0.522 | 1.2e-12 | 161 |
| Standard (Pearson), adjusted for national income | +0.197 | 0.013 | 161 |
| By rank (Spearman), adjusted for national income | +0.166 | 0.036 | 161 |
The rank version uses only each country’s place in line, from lowest to highest, so a few extreme countries count for less. The adjusted and unadjusted versions use the same 161 countries: those that report both measures and GDP per person. So the gap between them comes from the adjustment, not from a change in which countries are counted. Drop in the size of r after adjusting: +0.319 (a minus sign means it grew).
How solid is it?
Leaving out one country at a time, r ranges from +0.175 (without RWA) to +0.222 (without PNG). The bar above shows that range on a scale from −1 to +1, with the solid line at the full result. The single country that moves r most: PNG (+0.025).
Fragile: this link may not hold up.
- direction is not consistent across regions
Within each region
Countries are not separate, unrelated cases, and neighbors share a lot. A link that holds inside each region is far more believable than one that shows up only when comparing regions.
| n | r | ||
|---|---|---|---|
| East Asia & Pacific | 19 | -0.28 | |
| Europe & Central Asia | 46 | -0.04 | |
| Latin America & Caribbean | 25 | +0.43 | |
| Middle East, North Africa, Afghanistan & Pakistan | 20 | +0.16 | |
| Sub-Saharan Africa | 44 | +0.61 |
By income third
If the link shows up only in the richest third of countries, it is a feature of rich countries, not a general pattern.
| n | r | ||
|---|---|---|---|
| Poorest third | 54 | +0.46 | |
| Middle third | 53 | +0.25 | |
| Richest third | 54 | -0.29 |
By largest religious group
Countries grouped by a label they share, such as main religion, rather than by a number. Groups of fewer than twelve countries are not shown. These groups differ in income, region and history all at once. So a gap between them is a place to start asking questions, not an answer.
| n | r | ||
|---|---|---|---|
| Christians | 97 | +0.30 | |
| Muslims | 44 | +0.23 |
By last European coloniser
Countries grouped by a label they share, such as main religion, rather than by a number. Groups of fewer than twelve countries are not shown. These groups differ in income, region and history all at once. So a gap between them is a place to start asking questions, not an answer.
| n | r | ||
|---|---|---|---|
| France | 25 | +0.45 | |
| Never a European colony | 18 | +0.02 | |
| Spain | 18 | +0.50 | |
| United Kingdom | 50 | +0.09 |
By official ideology
Countries grouped by a label they share, such as main religion, rather than by a number. Groups of fewer than twelve countries are not shown. These groups differ in income, region and history all at once. So a gap between them is a place to start asking questions, not an answer.
| n | r | ||
|---|---|---|---|
| Nationalist | 22 | +0.39 | |
| No strong official ideology | 111 | +0.25 |
By party system
Countries grouped by a label they share, such as main religion, rather than by a number. Groups of fewer than twelve countries are not shown. These groups differ in income, region and history all at once. So a gap between them is a place to start asking questions, not an answer.
| n | r | ||
|---|---|---|---|
| A few parties banned | 26 | +0.30 | |
| No parties banned | 116 | +0.30 |
Without outliers (countries far outside the middle half of countries on either measure, by more than one and a half times the width of that middle half): r = +0.189 after dropping 5 countries.
Two series, one country
Both measures over the years for one country you pick. The two charts are stacked so they share only the years along the bottom.
Loading…
Over time, within countries
Everything above compares countries with each other at one moment. This section compares each country only with itself over 35years. So a link here can’t come from anything about a country that stays the same, such as its history, geography, institutions or culture.
Within countries over time, there is no link that is clearly more than chance (r = +0.097, comparing each country only with itself over the years, and each year only with the same year elsewhere). Whatever the cross-country picture shows, countries whose DTP3 immunisation moved did not tend to see their legal system and property rights (Fraser) move with it.
Across countries (adjusted)+0.197for comparison
Within countries+0.159each country vs itself
…and vs the same year elsewhere+0.097q = 0.037 · 163 countries
Year-on-year changes+0.017q = 0.694
Read with care.
- Almost all of this indicator's variation is between countries, not within them, so the within-country estimate rests on a small part of the data.
4,299 country-years (one country in one year), 163 countries, 1990–2024, about 26 years each on average. Share of the variation that happens within countries over time: 4% for DTP3 immunisation, 29% for Legal system and property rights (Fraser). The margins of error allow for each country appearing many times, and for each year’s value being close to the year before.
Year-to-year changes are a cautious test, not a final answer. Looking only at changes from one year to the next removes each country’s own trends. But it also makes measurement mistakes louder, which pulls the results toward zero. A near-zero result here is weak evidence of no link, not proof.
With one measure years behind the other
Same year (lag 0): +0.097. A peak away from zero does not show which comes first. These series change slowly — this year’s value is close to last year’s. That makes the curve smooth and nearly symmetric, whatever produced the data. Even a sharp peak at one lag (a gap of some years) would not prove that one measure changes the other.
The data
% of children aged 12-23 months | rating (0-10) | Years | |
|---|---|---|---|
| Turkiye TUR | 99% | 4.91 | 2024 |
| Portugal PRT | 99% | 7.41 | 2024 |
| Oman OMN | 99% | 5.7 | 2024 |
| Luxembourg LUX | 99% | 8.63 | 2024 |
| Kuwait KWT | 99% | 5.25 | 2024 |
| Japan JPN | 99% | 7.93 | 2024 |
| Jamaica JAM | 99% | 5.83 | 2024 |
| Hungary HUN | 99% | 6.69 | 2024 |
| Costa Rica CRI | 99% | 6.62 | 2024 |
| Brunei Darussalam BRN | 99% | 5.32 | 2024 |
| Rwanda RWA | 98% | 6.07 | 2024 |
| Kazakhstan KAZ | 98% | 5.72 | 2024 |
| Israel ISR | 98% | 6.14 | 2024 |
| Iran, Islamic Rep. IRN | 98% | 3.4 | 2024 |
| Guyana GUY | 98% | 5.09 | 2024 |
World Bank, World Development Indicators
Gwartney, J., Lawson, R., Murphy, R. and others, Economic Freedom of the World: 2026 Annual Report, Fraser Institute. Data from the EFW panel dataset (efotw-2026-master-index-data-for-researchers-iso.xlsx).
Sources
DTP3 immunisation
Immunization, DPT (% of children ages 12-23 months)
WHO and UNICEF · CC BY 4.0 · updated quarterly
Three doses of the diphtheria, tetanus and whooping cough (pertussis) vaccine, the standard measure of a routine vaccination system. Measles coverage is published the same way and moves with it almost exactly, so only one of the two is here.
Legal system and property rights (Fraser)
Economic freedom, area 2, legal system and property rights (Fraser Institute)
Fraser Institute · No licence stated; used with citation · updated annual
Whether courts are independent and fair, contracts are enforced, property is protected and the police are reliable, from 0 to 10. It draws on some of the same expert sources as other rule-of-law measures, so expect it to track them closely.
How this was computed
Data used: most recent value in 2010-2025; values come from 2023–2024. To adjust for income, each measure is first predicted from GDP per person (in percentage terms, on a log scale) with a straight-line fit. Only what is left over is then compared. This is called a partial correlation. The line is drawn the standard way (ordinary least squares), which picks the line that comes closest to all the countries at once. The error margins allow for countries in the same region resembling each other, using 7 World Bank regions. The q-value corrects for testing all 17,292 pairs at once, using the Benjamini–Hochberg method. Underlying data last updated V-Dem v16; V-Party v2. How the country data works · explore DTP3 immunisation and Legal system and property rights (Fraser)
This page shows that two measures go together. It does not show that DTP3 immunisation changes Legal system and property rights (Fraser), or the reverse. These figures also describe countries, not individual people. See the ecological fallacy.
More links with DTP3 immunisation or Legal system and property rights (Fraser)
- Legal system and property rights (Fraser) vs Researchers before +0.80 → after adjusting +0.58
- Interpersonal trust vs Legal system and property rights (Fraser) before +0.71 → after adjusting +0.51
- Family benefits spending vs Legal system and property rights (Fraser) before +0.54 → after adjusting +0.47
- Freedom of association vs Legal system and property rights (Fraser) before +0.50 → after adjusting +0.47
- Legal system and property rights (Fraser) vs Religion very important before -0.72 → after adjusting -0.47
- Legal system and property rights (Fraser) vs One-person households before +0.74 → after adjusting +0.45
- Legal system and property rights (Fraser) vs PISA science before +0.78 → after adjusting +0.44
- Legal system and property rights (Fraser) vs Wellbeing score before +0.76 → after adjusting +0.42