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ABCDE, World Bank 2016 { noriega, pentland } @ mit.edu Balancing External Representativity and Interference in Large-Scale Rural Experiments Alejandro Noriega and Alex Pentland MIT Media Laboratories MIT Institute for Data, Systems and Society (IDSS)

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Page 1: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

ABCDE, World Bank 2016

{ noriega, pentland } @ mit.edu

Balancing External Representativity and Interference in Large-Scale Rural Experiments

Alejandro Noriega and Alex Pentland

MIT Media Laboratories MIT Institute for Data, Systems and Society (IDSS)

Page 2: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Field RCTs in Data-Rich Contexts

SAMPLE TARGET

POPULATION

Interference (SUTVA) Extrapolation

Page 3: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

SAMPLE TARGET

POPULATION

Interference (SUTVA) Extrapolation

Field RCTs in Data-Rich Contexts

Page 4: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Overview

Spatial Dynamics of PROSPERA Context

PROSPERA – National Social Program

A Large Scale Experiment

Extrapolation and Target Population Experiment Design

Choice of Experimental Sample

Interference Gravity Model

Tradeoff Analysis

Interference and Representativity in Large Rural Experiments

Conclusion and Paths Forward

Algorithm and Results

Page 5: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

National Social Program -- PROSPERA

• National-Wide system: – families below poverty line – Based on engagement and co-

responsibility

• 2nd Largest Conditional Cash Transfer program in the world – +8M families, +25M beneficiaries

• Services: – Health – Cash transfer – Nutrition – Productivity

Interference and Representativity in Large Rural Experiments

Page 6: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

PROSPERA – Traditional communication means

Interference and Representativity in Large Rural Experiments

Page 7: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

PROSPERA – Commutes

Interference and Representativity in Large Rural Experiments

Page 8: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

PROSPERA – Commutes

Interference and Representativity in Large Rural Experiments

Page 9: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

5,000 Approx. 5,000 women Jan 16

Interference and Representativity in Large Rural Experiments

Page 10: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Overview

Spatial Dynamics of PROSPERA Context

PROSPERA – National Social Program

A Large Scale Experiment

Extrapolation and Target Population Experiment Design

Choice of Experimental Sample

Interference Gravity Model

Tradeoff Analysis

Interference and Representativity in Large Rural Experiments

Conclusion and Paths Forward

Algorithm and Results

Page 11: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference and Representativity in Large Rural Experiments

PROSPERA – All Clinics

Page 12: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference and Representativity in Large Rural Experiments

PROSPERA – Eligible Clinics

Page 13: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference and Representativity in Large Rural Experiments

Extrapolation

PROSPERA – Eligible Clinics

Page 14: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Estimation error decomposition and non-random sampling

Interference and Representativity in Large Rural Experiments

Sampling Error

Treatment Assignment Error

Page 15: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Estimation error decomposition and non-random sampling

Interference and Representativity in Large Rural Experiments

Sampling Error

Treatment Assignment Error

non-random sampling

Page 16: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference and Representativity in Large Rural Experiments

Interference

Extrapolation

PROSPERA – Eligible Clinics

Page 17: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Overview

Spatial Dynamics of PROSPERA Context

PROSPERA – National Social Program

A Large Scale Experiment

Extrapolation and Target Population Experiment Design

Choice of Experimental Sample

Interference Gravity Model

Tradeoff Analysis

Interference and Representativity in Large Rural Experiments

Conclusion and Paths Forward

Algorithm and Results

Page 18: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Modeling Interference –- Road-and-Walk Route Distance

Interference and Representativity in Large Rural Experiments

Page 19: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑤𝑤𝑤𝑤𝑤𝑤𝑤𝑤𝑝𝑝𝑝𝑝𝑤𝑤𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑤𝑤𝑝𝑝

Gravity Model of Interference

𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑤𝑤𝑤𝑤𝑤𝑤𝑤𝑤𝑝𝑝𝑝𝑝𝑤𝑤𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑤𝑤𝑝𝑝

Interference and Representativity in Large Rural Experiments

Page 20: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Inter-clinic Interference Network

Interference and Representativity in Large Rural Experiments

Page 21: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Overview

Spatial Dynamics of PROSPERA Context

PROSPERA – National Social Program

A Large Scale Experiment

Extrapolation and Target Population Experiment Design

Choice of Experimental Sample

Interference Gravity Model

Tradeoff Analysis

Interference and Representativity in Large Rural Experiments

Conclusion and Paths Forward

Algorithm and Results

Page 22: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Sample search: Minimizing Interference

Greedy

Interference and Representativity in Large Rural Experiments

Page 23: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Sample search: Minimizing Interference

Algorithm 1

Interference and Representativity in Large Rural Experiments

Page 24: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference Minimization

Interference and Representativity in Large Rural Experiments

Page 25: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference vs. Representativity Tradeoff

Interference and Representativity in Large Rural Experiments

Page 26: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference vs. Representativity Tradeoff

Interference and Representativity in Large Rural Experiments

Page 27: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Representativity – KS Covariate Distance (Kolmogorov-Smirnov)

Interference and Representativity in Large Rural Experiments

Target Population

Sample

KS Distance For relevant covariates :

• Social lag • Illiteracy • Education • Indigenism • Newborn Weight • Diseases • Distance to clinic • Clinic infrastructure

Page 28: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference vs. Representativity Tradeoff

Interference and Representativity in Large Rural Experiments

Page 29: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference and Representativity in Large Rural Experiments

Bi-Objective Sample Search @k=25

Interference (SUTVA) Representativity (KS)

Page 30: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference vs. Representativity: Bi-Objective Sample Search

Interference and Representativity in Large Rural Experiments

Page 31: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

• Evaluate direct and ‘spillover’ health effects (experiment is on!)

• Evaluate models of interference: gravity model, road network vs. spatial, communications (CDRs)

• Bi-objective sample search: optimization bounds, better bi-objective heuristics.

Research Paths

Forward

Interference and Representativity in Large Rural Experiments

Page 32: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Questions / Discussion?

[email protected]

Page 33: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Appendix Material

[email protected]

Page 34: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Modeling Interference (SUTVA violations)

Interference and Representativity in Large Rural Experiments

Page 35: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Interference vs. Representativity

Bi-Objective Sample Search (Algorithm 1)

Interference and Representativity in Large Rural Experiments

Page 36: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Innovating the Mexican social health and financial system

Interference vs. Representativity

Bi-Objective Genetic Algorithm

Page 37: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Innovating the Mexican social health and financial system

Interference Minimization

Page 38: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Modeling Interference –- Road Network + Walk

Distance

Innovating the Mexican social health and financial system

Page 39: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Health Intervention

Potential Projects with Mexico – National and Mexico City

Geospatial Analysis: • Macro spatial dynamics of health clinics, rural & urban

populations of beneficiaries, and mobile phone coverage

Page 40: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Potential Projects with Mexico – National and Mexico City

Geospatial Analysis: • Macro spatial dynamics of health clinics, rural & urban

populations of beneficiaries, and mobile phone coverage

Page 41: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Potential Projects with Mexico – National and Mexico City

The collaboration

Page 42: Balancing External Representativity and ... - World Bankpubdocs.worldbank.org/pubdocs/publicdoc/2016/6/58544146671481… · PROSPERA – National Social Program A Large Scale Experiment

Potential Projects with Mexico – National and Mexico City

The collaboration

Free SMS and CDRs

RapidPro plattform