Cognitive and non-cognitive efficiency gaps between private and public schools in the Latin America region-a hybrid DEA and machine learning approach based on PISA 2022

Using a hybrid DEA and machine learning approach on PISA 2022 data from nine Latin American countries, this study reveals that private schools outperform public schools in both cognitive and non-cognitive efficiency, identifying distinct determinants such as home resources and autonomy for private schools versus climate and student engagement challenges for public schools.

Marcos Delprato

Published 2026-03-06
📖 5 min read🧠 Deep dive

Imagine the education system in Latin America as a massive, bustling kitchen with two types of chefs: Public Chefs (working in government-run schools) and Private Chefs (working in fee-paying schools).

The big question this paper asks is: Who is actually cooking the best meal given the ingredients they have?

In the world of economics, this is called "efficiency." It doesn't just mean who gets the highest grades; it means, "If I give you a basket of ingredients (money, books, teachers, computers), how much delicious food (learning and well-being) can you actually produce?"

Here is the story of what the researchers found, using the latest data from 2022 (after the pandemic).

1. The Great Divide: Who Has the Better Pantry?

Before we even look at the cooking, we have to look at the pantry. The study found that Private Schools generally start with a much better stocked kitchen.

  • Private Schools: Their students usually have more books at home, their own computers, and parents who can afford to pay for extra help. The schools themselves often have more autonomy (freedom to choose their menu) and better facilities.
  • Public Schools: These schools often have to cook with fewer ingredients. Their students might be working part-time jobs to help their families, have fewer books at home, and face more barriers like poor internet or overcrowded classrooms.

2. The Cooking Contest: The Results

The researchers used a special mathematical tool (called DEA) to measure how well each school turned its ingredients into results. They looked at two types of "meals":

  1. Cognitive: Math, reading, and science scores (the main course).
  2. Non-Cognitive: Soft skills like confidence, empathy, and emotional control (the dessert and the atmosphere).

The Scoreboard:

  • Private Schools won on both counts. They were about 10% more efficient at turning resources into math/reading scores and 4.5% more efficient at building soft skills.
  • Public Schools were still cooking, but they were leaving a lot of potential on the table. The study suggests that if public schools could just use their current resources as effectively as the top private schools, they could boost student scores by about 23% without needing a single extra dollar of funding.

The "Volatility" Problem:
Think of Private Schools as a team of chefs who all cook a pretty consistent, high-quality meal. Public Schools, however, are like a kitchen where some chefs are amazing and others are struggling badly. There is a huge gap within the public system. Some public schools are doing great, but many are falling behind, creating a much wider gap in quality than you see in the private system.

3. The Secret Sauce: What Makes the Difference?

The researchers then used Machine Learning (a super-smart computer brain) to figure out why the private schools were winning. They looked at 42 different factors, like a detective looking for clues.

The "Secret Sauce" for High-Performing Private Schools:

  • Home Support: Students having a PC and lots of books at home.
  • Focus: Students not working paid jobs, so they can focus on school.
  • Freedom: Schools having the power to make their own decisions (autonomy).
  • Atmosphere: A positive, welcoming school climate.

The "Poison" for Struggling Public Schools:

  • The Grind: Students working long hours at paid jobs, leaving little time to study.
  • The Loop: High rates of students repeating grades (getting stuck in the same year).
  • The Absence: High truancy (skipping school).
  • The Struggle: Students lacking books at home and facing huge barriers to doing homework during the pandemic (like no internet).
  • The Vibe: A negative or stressful school climate.

4. The Pandemic Twist

The study happened right after the world stopped for a while due to COVID-19. This was a stress test for the kitchens.

  • Private Schools were better prepared. They had the internet, the devices, and the flexibility to switch to remote learning quickly.
  • Public Schools struggled more. Many students couldn't do homework because they didn't have computers or internet, and the schools had fewer resources to adapt. This widened the gap even further.

5. The Big Takeaway: What Should We Do?

The paper isn't saying "Private schools are magic and public schools are hopeless." It's saying: Public schools are being asked to do a marathon with a broken shoe, while private schools are running with running shoes.

However, the study offers hope. It shows that public schools can do much better with what they already have.

  • The Fix: If we can fix the specific "broken shoes" for public schools—like reducing the need for students to work part-time, improving the school climate, and helping students who are falling behind repeat grades less often—we could close the gap.
  • The Soft Skills Bonus: The study found that if public schools can improve their students' "soft skills" (confidence, emotional control), it actually helps their math and reading scores too. It's like strengthening the engine of the car; the whole vehicle runs better.

In a nutshell: Private schools in Latin America are currently using their resources more efficiently, largely because their students have more support at home and fewer outside pressures. But public schools have huge untapped potential. If policymakers can help public schools remove the specific barriers their students face (like poverty, work, and bad school climates), they could get much more "bang for their buck" and feed the region's children better, even without a massive budget increase.