Across 186 countries, DTP3 immunisation and Rule of law 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 +0.26, which could easily be chance (q = 0.25, 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 dtp3 immunisation, 81% to 96% of children aged 12-23 months, rule of law is better by 0.603 points at the top of that range than the bottom. Comparing only countries with similar national income, the gap is 0.251 points.
Link before adjusting (r)+0.520p = 2.9e-14 · 186 countries
After adjusting for national income+0.259p = 0.000 · likely range [+0.12, +0.39]
p, allowing for regions0.086standard error 0.126 · 7 regions
Check for luck (q)0.248across 12,497 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
Rule of law · index (approx. -2.5 to 2.5)link with income +0.72 · high
“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
+0.520
2.9e-14
186
By rank (Spearman), not adjusted
+0.502
3.0e-13
186
Standard (Pearson), adjusted for national income
+0.259
0.000
186
By rank (Spearman), adjusted for national income
+0.219
0.003
186
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 186 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: +0.261 (a minus sign means it grew).
How solid is it?
Leaving out one country at a time, r ranges from +0.241 (without GAB) to +0.274 (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: GAB (-0.018).
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
29
+0.35
Europe & Central Asia
50
-0.16
Latin America & Caribbean
31
+0.55
Middle East, North Africa, Afghanistan & Pakistan
22
+0.29
Sub-Saharan Africa
46
+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
62
+0.41
Middle third
62
+0.40
Richest third
62
-0.22
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
108
+0.32
Muslims
49
+0.24
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
+0.53
Never a European colony
21
+0.08
Spain
20
+0.44
United Kingdom
63
+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 = +0.256 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.
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Over time, within countries
Everything above compares countries with each other at one moment. This section compares each country only with itself over 29years. 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 = +0.081, 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 rule of law move with it.
Across countries (adjusted)+0.259for comparison
Within countries+0.056each country vs itself
…and vs the same year elsewhere+0.081q = 0.150 · 193 countries
Year-on-year changes+0.054q = 0.026
Read with care.
Almost all of the second indicator's variation is between countries, so the within-country estimate rests on a small part of the data.
4,990 country-years (one country in one year), 193 countries, 1996–2024, about 26 years each on average. Share of the variation that happens within countries over time: 28% for DTP3 immunisation, 4% for Rule of law. 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): +0.081. 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
index (approx. -2.5 to 2.5)
Years
St. Vincent and the Grenadines VCT
99%
0.502
2024
Turkiye TUR
99%
-0.843
2024
Tonga TON
99%
0.694
2024
Portugal PRT
99%
1.07
2024
Oman OMN
99%
0.449
2024
Naoero NRU
99%
0.252
2024
Maldives MDV
99%
0.0443
2024
Luxembourg LUX
99%
1.76
2024
St. Lucia LCA
99%
0.503
2024
Kuwait KWT
99%
0.231
2024
Japan JPN
99%
1.51
2024
Jamaica JAM
99%
-0.0777
2024
Hungary HUN
99%
0.192
2024
Costa Rica CRI
99%
0.617
2024
Brunei Darussalam BRN
99%
0.588
2024
World Bank, World Development Indicators Kaufmann, D. and A. Kraay, Worldwide Governance Indicators, World Bank
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.
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 12,497 pairs at once, using the Benjamini–Hochberg method. Underlying data last updated DYB 2024. How the country data works · explore DTP3 immunisation and Rule of law
This page shows that two measures go together. It does not show that DTP3 immunisation changes Rule of law, or the reverse. These figures also describe countries, not individual people. See the ecological fallacy.