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Session 4 Randomized evaluation design DFID, Malawi 1
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Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Mar 12, 2020

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Page 1: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Session 4

Randomized evaluation design

DFID, Malawi

1

Page 2: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Session 1: Introduction to Impact Evaluations

• Session 2: Theory of Change and Measurement

• Session 3: Group work: Theory of change

• Session 4: Randomized evaluation design

Workshop Schedule – Day 1

2

Page 3: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Threats to Validity – Partial compliance

– Externalities

– Attrition

• Unit of Randomization

• Treatment Variations

• Method of Randomization

• Sample Size

Outline

Page 4: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Threats to Validity

• Remember, randomization ensures that

– On average, those in the treatment group are the same as those in the control group

– This means that the impact will be the same if either one of the groups were treated

• From Session 1, we saw what random assignment might look like…

Page 5: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

How to Randomize, Part I - 5

Random assignment

2006

Average income per person, per day, kwachas

1000

500

0 Treat Compare

170 168

Page 6: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

A successful randomized evaluation requires:

1. Those in the treatment group (red) receive the treatment, while those in the control group (blue) do not

1. Those in the control group are not affected by the treatment in any way

2. Outcomes for members of both treatment and control are measured at the end of the programme

Threats to Validity

Page 7: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

When these requirements aren’t fully met: 1) Those in the treatment group (red) receive the treatment, while those

in the control group (blue) do not

2) Those in the control groups are not affected by the treatment in any way

3) Outcomes for members of both treatment and control are measured at the end of the programme

Threats to Validity

→ PARTIAL COMPLIANCE Individuals assigned to the treatment group may not receive the programme or those in the control group do receive it

→ EXTERNALITIES Individuals or communities which did not receive the treatment may nonetheless be affected by it, either positively or negatively

→ ATTRITION Members of the original sample drop out between the beginning of the programme and the endline survey. The subsample may differ systematically from the remaining sample

Page 8: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Partial Compliance

• Definition:

– Some in treatment group DON’T receive intervention

– Some in control group DO receive intervention

• Consequence: – May not detect an effect even if treatment is effective

• Example: – Primary education management in Madagascar: in

the bottom up approach, teaching tools were sent to schools. What if some were delivered to control schools?

8

Page 9: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Spillovers

• Definition:

– Those not in the treatment group are affected (positively or negatively) by the intervention

• Consequence:

– Effect of treatment is measured to be smaller or larger than it actually is

– May negatively affect policy if evidence is used to make decisions

• Example: – Primary education management in Madagascar:

Teachers in neighbouring schools hear about the monitoring program and change their behaviour

9

Page 10: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Attrition (I)

• Definition:

– Failure to collect outcome data from some individuals who were part of the original sample

• Reasons for attrition: – Move house/area

– Refuse to answer endline survey

– Sickness and death

• Examples:

– Primary education management in Madagascar: What would happen to the measured effect if students with low scores in control schools drop out during the intervention?

10

Page 11: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

When is attrition particularly problematic? • Random attrition is not a major problem • However, non-random attrition will cause the treatment effect to be calculated incorrectly. Why?

→ People who drop out might be different in some important way to those who don’t drop out.

→ If they are different, then treatment may affect them differently

Attrition (II)

Page 12: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Threats to Validity

• Unit of Randomization – Individual versus cluster

• Treatment Variations

• Method of Randomization

• Sample Size

Outline

Page 13: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Unit of randomization:

– The unit for which we ‘flip the coin’

• We can randomly select individuals to take part in an intervention, or we can select whole groups, also known as clusters:

Unit of Randomization

Page 14: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Unit of Randomization: Individual?

Page 15: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Unit of Randomization: Individual?

Page 16: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

“Groups of individuals”: Cluster Randomized Trial

Unit of Randomization: Household?

Page 17: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Unit of Randomization: Household?

Page 18: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Unit of Randomization: School?

Page 19: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Unit of Randomization: School?

Page 20: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Nature of the treatment – How is the intervention administered? – How many people are likely to be affected by intervention?

• Generally, best to randomize at the level at which the treatment is administered – Madagascar: intervention is at the school level so schools

randomized

• BUT there are practical concerns: E.g. randomly assign schools to receive teaching tools

→ Contamination: can we prevent teachers from sharing resources with other schools? → Fairness: Do school principals / teachers / parents agree to our research design?

How to Choose the Level

Page 21: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Threats to validity

• Unit of Randomisation

• Method of Randomisation • Lottery

• Phase-in design

• Encouragement design

• Treatment variations

• Sample size

Outline

Page 22: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Suppose there are 2000 (eligible) applicants for a public service project, but only enough resources for 1000 participants

• Randomization can serve the purpose of selecting in a fair way and help us to evaluate

• Randomization mechanisms: – Pull out of a hat/bucket

– Use a computer programme

(e.g. Stata) to generate random

numbers

I. Lottery

Page 23: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Advantages

– Lotteries are simple, common and transparent

– Not as politically problematic as often claimed

– Participants know the “winners” and “losers”

– Useful when there is no good reason to discriminate

– Perceived as fair

I. Lottery

Page 24: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Over a period of time, extend intervention to entire population

• Natural approach when expanding programme faces resource constraints

Advantages • Everyone gets something eventually • Provides incentives for those in control group to maintain

contact

Concerns • Can make it difficult to measure long-run effects • Do expectations of future receipt change actions today?

II. Phase-in design

Page 25: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

II. Phase-in design

Round 1 Treatment: 1/3 Control: 2/3

Round 2 Treatment: 2/3 Control: 1/3

Round 3 Treatment: 3/3 Control: 0 1

1

1 1

1

1

1

1

1

1 1

1

1

1

2

2

2 2

2

2

2 2

2

2

2

2 2

2

2

2

3

3 3 3

3

3

3

3 3

3

3 3

3

3

3 3

3

Round 1 Treatment: 1/3 Control: 2/3

Round 2 Treatment: 2/3 Control: 1/3

Randomized evaluation ends Randomized evaluation ends

Page 26: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Sometimes it is practically or ethically impossible to randomize programme access

• Instead, randomize encouragement to receive treatment

• Encouragement = something that makes some people more likely to use programme than others

III. Encouragement design

Page 27: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

III. Encouragement design

Encourage

Do not encourage

Participated

Did not participate

Complying

Not complying

Compare encouraged to not encouraged

Do not compare participants to non-participants

Page 28: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Lottery

• Phase-in design

• Encouragement design

The best randomization mechanism depends on the nature of the intervention and the environment of the study

Method of Randomization

Summary

Not mutually exclusive

Page 29: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Threats to Validity

• Unit of Randomization

• Method of Randomization

• Treatment Variations – Multiple Treatments

– Cross-cutting Treatments

– Varying Intensity of Treatments

• Sample Size

Outline

Page 30: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Often there are multiple ways of achieving a desired outcome

E.g. Reducing corruption in road building in Indonesia:

1) Audit of project by govt. officials

2) Community monitoring through meetings

• Design: To find out which intervention is more effective, we can have multiple treatment groups

Multiple Treatments

Page 31: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Govt. audit

Community meetings

Control

Multiple Treatments

Page 32: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Sometimes interventions are most successful when used in combination

Continuing with the previous example, we could add a third group which gets both interventions:

1) Audit of project by govt. officials

2) Community monitoring through meetings

3) Audit + community monitoring

• This can show us the most cost-effective way to reduce corruption

Cross-cutting treatments

Page 33: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Govt. audit

Community monitoring

Audits + community monitoring

Control

Cross-cutting Treatments

Page 34: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• The intensity of the intervention might also be relevant. Why?

Community monitoring of road construction:

- If corruption is low/easily discouraged, might need only 1 meeting

- If corruption is high/persistent, might need multiple, frequent meetings

• Extra cost of meetings might be justified by savings from reduced corruption

Varying Intensity of Treatments

Page 35: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

• Threats to Validity

• Unit of Randomization

– Individual versus cluster

• Treatment Variations

• Method of Randomization

• Sample Size

Outline

Page 36: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Sample size

• How large does the sample need to be to “credibly” detect a given treatment effect?

• What does credibly mean?

• Randomization removes bias, but it does not remove noise

• But how large must “large” be?

Page 37: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Sample size

• Answers depend on a number of factors, including:

– Level of randomization

– Expected effect size

– Underlying variability of the population

– Randomization design

Page 38: Session 4 · 2019-07-01 · Pratham Read India 4 280 villages 17,500 children Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools 10,300 children 12,300 children Kenya Extra

Sample Size Examples

Study # of interventions (+ Control)

Total Number of Clusters

Total Sample Size

Women’s Empowerment 2 Rajasthan: 100 West Bengal: 161

1996 respondents 2813 respondents

Pratham Read India 4 280 villages 17,500 children

Pratham Balsakhi 2 Mumbai: 77 schools Vadodara: 122 schools

10,300 children 12,300 children

Kenya Extra Teacher Program

8 210 schools 10,000 children

Deworming 3 75 schools 30,000 children

Bednets 5 20 health centers 545 women