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How to Randomize
Course Overview 
1. What is evaluation? 
2. Measuring impacts (outcomes, indicators) 
3. Why randomize? 
4. How to randomize? 
5. Sampling and sample size 
6. Threats and Analysis 
7. Scaling Up 
8. Project from Start to Finish
Lecture Overview 
 Unit and method of randomization 
 Real-world constraints 
 Revisiting unit and method 
 Variations on simple treatment-control
UNIT AND METHOD OF 
RANDOMIZATION
Unit of Randomization: Options 
1. Randomizing at the individual level 
2. Randomizing at the group level- “Cluster Randomized Trial” 
Which level to randomize?
Unit of Randomization: Considerations 
 What unit does the program target for treatment? 
• Groups in microfinance. 
• Political constituencies for governance projects. 
• Schools for education projects. 
 What is the “unit” of analysis? 
• What are the outcomes we care about? 
• At what level are we able to measure them? 
• Examples- 
 Test scores for school children. 
 Health outcomes for individuals. 
 Vote shares for politicians.
Unit of Randomization: Individual?
Unit of Randomization: Individual?
Unit of Randomization: Clusters? 
“Groups of individuals”: Cluster Randomized Trial
Unit of Randomization: Class?
Unit of Randomization: Class?
Unit of Randomization: School?
Unit of Randomization: School?
How to Choose the Level 
 Nature of the Treatment 
• How is the intervention administered? 
• What is the catchment area of each “unit of intervention”? 
• How wide is the potential impact? 
 Aggregation level of available data 
 Power requirements 
 Generally, best to randomize at the level at which the treatment is 
administered.
REAL-WORLD CONSTRAINTS
Constraints: Political 
 Not as severe as often claimed 
 Lotteries are simple, common and transparent 
 Randomly chosen from applicant pool 
 Participants know the “winners” and “losers” 
 Simple lottery is useful when there is no a priori reason to 
discriminate 
 Perceived as fair and transparent
Constraints: Resources 
 Most programs have limited resources 
• Vouchers, Farmer Training Programs 
 Results in more eligible recipients than resources will allow services 
for. 
 More often than not, a lot of resources are spent on programs that 
are never evaluated. 
 Randomized experiments are usually no more costly than other 
methods.
Constraints: Contamination Spillovers/Crossovers 
 Remember the counterfactual! 
 If control group is different from the counterfactual, our results can 
be biased 
 Can occur due to- 
• Spillovers 
• Crossovers
Constraints: Logistics 
 Need to recognize logistical constraints in research designs. 
 For example- Individual de-worming treatment by health 
workers 
• Many responsibilities. Not just de-worming. 
• Serve members from both T/C groups 
• Different procedures for different groups?
Constraints: Fairness 
Is the randomization “fair”? 
 Randomizing at the child-level within classes 
 Randomizing at the class-level within schools 
 Randomizing at the community-level
Constraints: Sample Size 
 The program has limited scale 
 Primarily an issue of statistical power 
 Will be addressed tomorrow
What would you do? 
An intervention proposes to study the 
impact of regular washing of hands by 
children on their attendance in school. 
What would be your unit of 
randomization? 
A. Child level 
B. Household level 
C. Classroom level 
D. School level 
E. Village level 
F. Don’t know 
0% 0% 0% 0% 0% 0% 
Child level 
Household level 
Classroom level 
Village level 
School level 
Don’t know
REVISITING UNIT AND METHOD
Phase-in: Takes Advantage of Expansion 
 Extremely useful for experiments where everyone will / should get 
the treatment 
 Natural approach when expanding program faces resource 
constraints 
 What determines which schools, branches, etc. will be covered in 
which year?
Phase-in Design 
Round 3 
Treatment: 3/3 
Control: 0 
1 
1 
3 3 
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 
Round 1 
Treatment: 1/3 
Control: 2/3 
Round 2 
Treatment: 2/3 
Control: 1/3 
Randomized 
evaluation 
ends
Phase-in Designs 
 Advantages 
• Everyone gets the treatment eventually 
• Provides incentives to maintain contact 
 Concerns 
• Can complicate estimating long-run effects 
• Care required with phase-in windows 
• Do expectations change actions today?
Rotation Design 
 Groups get treatment in turns: 
• Group A benefits from the program in period 1 but not in in period 
2 
• Group B does not have the program in period 1 but receives it in 
period 2
Rotation Design 
Round 1 
Treatment: 1/2 
Control: 1/2 
Round 2 
Treatment from 
Round 1  
Control 
—————————————————————————— 
Control from 
Round 1  
Treatment
Rotation Design 
 Advantages 
• Perceived as fairer 
• Easier to get accepted (at least initially). 
 Concerns 
• Control group anticipates future eligibility 
• AND Treatment group anticipates the loss of eligibility 
• Impossible to estimate a long term impact.
Encouragement Design: What to do When you Can’t Randomize 
Access 
 Sometimes it’s practically or ethically impossible to randomize 
program access 
 But most programs have less than 100% take-up 
 Randomize encouragement to receive treatment
What is “Encouragement”? 
 Something that makes some folks more likely to use program than 
others 
 Not itself a “treatment” 
 For whom are we estimating the treatment effect? 
 Think about who responds to encouragement
Which two groups would you compare in an 
encouragement design? 
A. Encouraged vs. Not encouraged 
B. Participants vs. Non-participants 
C. Compliers vs. Non-compliers 
D. Don’t know 
0% 0% 0% 0% 
Participants vs. Non-part... 
Encouraged vs. Not enco... 
Compliers vs. Non-compliers 
Don’t know
Encouragement Design 
Encourage 
Do not encourage 
Participated 
Did not participate 
Complying 
Not complying 
Compare encouraged to 
not encouraged 
These must be correlated 
Do not compare 
participants to non-participants 
Adjust for non-compliance in 
analysis phase
Randomization « In the Bubble » 
 Sometimes there are as many eligible as treated individuals 
• Suppose there are 2000 applicants 
• Screening of applications produces 500 « worthy » candidates 
• There are 500 slots: you can’t do a simple lottery. 
 Consider the screening rules 
• Selection procedures may only exist to reduce eligible 
candidates in order to meet a capacity constraint 
• It may be interesting to test the relevance of the selection 
procedure and evaluate the program at the same time. 
 Randomization in the bubble: 
• Among individuals who just below the threshold
Randomization in “The Bubble” 
Within the 
bubble, compare 
treatment to 
control 
Participants 
(scores > 700) 
Non-participants 
(scores < 500) 
Treatment 
Control
To Summarize: Possible designs 
 Simple lottery 
 Randomized phase-in 
 Rotation 
 Encouragement design 
• Note: These are not mutually exclusive. 
 Randomization in the “bubble” 
• Partial lottery with screening
Methods of Randomization: Recap 
Design Most useful 
when… 
Advantages Disadvantages 
Basic 
Lottery 
 Program 
over 
subscribed 
 Familiar 
 Easy to 
understand 
 Easy to 
implement 
 Can be 
implemented in 
public 
 Control group 
may not 
cooperate 
 Differential 
attrition
Methods of Randomization: Recap 
Design Most useful 
when… 
Advantages Disadvantages 
Phase-In 
 Expanding 
over time 
 Everyone 
must receive 
treatment 
eventually 
 Easy to 
understand 
 Constraint is 
easy to 
explain 
 Control 
group 
complies 
because they 
expect to 
benefit later 
 Anticipation of 
treatment may 
impact short-run 
behavior 
 Difficult to 
measure long-term 
impact
Methods of Randomization: Recap 
Design Most useful 
when… 
Advantages Disadvantages 
Rotation 
 Everyone 
must receive 
something at 
some point 
 Not enough 
resources per 
given time 
period for all 
 More data 
points than 
phase-in 
 Difficult to 
measure long-term 
impact
Methods of randomization: Recap 
Design Most useful 
when… 
Advantages Disadvantages 
Encouragement 
 Program 
has to be 
open to all 
comers 
 When take-up 
is low, 
but can be 
easily 
improved 
with an 
incentive 
 Can 
randomize at 
individual 
level even 
when the 
program is 
not 
administered 
at that level 
 Measures impact 
of those who 
respond to the 
incentive 
 Need large 
enough 
inducement to 
improve take-up 
 Encouragement 
itself may have 
direct effect
What randomization method would you choose if your partner 
requires that everyone receives treatment at some point in time? 
A. Basic lottery 
B. Phase-in 
C. Rotation 
D. Randomization in the bubble 
E. Encouragement 
F. Don’t know 
0% 0% 0% 0% 0% 0% 
Basic lottery 
Randomization in the b... 
Phase-in design 
Rotation design 
Don’t know 
Encouragement
VARIATIONS ON SIMPLE 
TREATMENT-CONTROL
Multiple Treatments 
 Sometimes core question is deciding among different possible 
interventions 
 You can randomize these programs 
 Does this teach us about the benefit of any one intervention? 
 Do you have a control group?
Multiple Treatments 
Control 
Treatment 1 
Treatment 2
Cross-cutting Treatments 
 Test different components of treatment in different combinations 
 Test whether components serve as substitutes or complements 
 What is most cost-effective combination? 
 Advantage: win-win for operations, can help answer questions for 
them, beyond simple “impact”! 
 An example?
Varying Levels of Treatment 
 Some villages are assigned full treatment 
• All households get double fortified salt 
 Some villages are assigned partial treatment 
• 50% of households get double fortified salt 
 Testing subsidies, prices and cost-effectiveness!
Stratification 
 Objective: balancing your sample when you have a small sample 
 What is it? 
• Dividing the sample into different subgroups 
• Assign treatment and control within each subgroup
When to Stratify 
 Stratify on variables that could have important impact on outcome 
variable 
 Stratify on subgroups that you are particularly interested in (where 
may think impact of program may be different) 
 Stratification more important when small data set 
 Can get complex to stratify on too many variables 
 Makes the draw less transparent the more you stratify
Mechanics of Randomization 
 Need sample frame 
 Pull out of a hat/bucket 
 Use random number 
generator in spreadsheet 
program to order 
observations randomly 
 Stata program code 
 What if no existing list?

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Experimental Evaluation Methods

  • 2. Course Overview 1. What is evaluation? 2. Measuring impacts (outcomes, indicators) 3. Why randomize? 4. How to randomize? 5. Sampling and sample size 6. Threats and Analysis 7. Scaling Up 8. Project from Start to Finish
  • 3. Lecture Overview  Unit and method of randomization  Real-world constraints  Revisiting unit and method  Variations on simple treatment-control
  • 4. UNIT AND METHOD OF RANDOMIZATION
  • 5. Unit of Randomization: Options 1. Randomizing at the individual level 2. Randomizing at the group level- “Cluster Randomized Trial” Which level to randomize?
  • 6. Unit of Randomization: Considerations  What unit does the program target for treatment? • Groups in microfinance. • Political constituencies for governance projects. • Schools for education projects.  What is the “unit” of analysis? • What are the outcomes we care about? • At what level are we able to measure them? • Examples-  Test scores for school children.  Health outcomes for individuals.  Vote shares for politicians.
  • 9. Unit of Randomization: Clusters? “Groups of individuals”: Cluster Randomized Trial
  • 14. How to Choose the Level  Nature of the Treatment • How is the intervention administered? • What is the catchment area of each “unit of intervention”? • How wide is the potential impact?  Aggregation level of available data  Power requirements  Generally, best to randomize at the level at which the treatment is administered.
  • 16. Constraints: Political  Not as severe as often claimed  Lotteries are simple, common and transparent  Randomly chosen from applicant pool  Participants know the “winners” and “losers”  Simple lottery is useful when there is no a priori reason to discriminate  Perceived as fair and transparent
  • 17. Constraints: Resources  Most programs have limited resources • Vouchers, Farmer Training Programs  Results in more eligible recipients than resources will allow services for.  More often than not, a lot of resources are spent on programs that are never evaluated.  Randomized experiments are usually no more costly than other methods.
  • 18. Constraints: Contamination Spillovers/Crossovers  Remember the counterfactual!  If control group is different from the counterfactual, our results can be biased  Can occur due to- • Spillovers • Crossovers
  • 19. Constraints: Logistics  Need to recognize logistical constraints in research designs.  For example- Individual de-worming treatment by health workers • Many responsibilities. Not just de-worming. • Serve members from both T/C groups • Different procedures for different groups?
  • 20. Constraints: Fairness Is the randomization “fair”?  Randomizing at the child-level within classes  Randomizing at the class-level within schools  Randomizing at the community-level
  • 21. Constraints: Sample Size  The program has limited scale  Primarily an issue of statistical power  Will be addressed tomorrow
  • 22. What would you do? An intervention proposes to study the impact of regular washing of hands by children on their attendance in school. What would be your unit of randomization? A. Child level B. Household level C. Classroom level D. School level E. Village level F. Don’t know 0% 0% 0% 0% 0% 0% Child level Household level Classroom level Village level School level Don’t know
  • 24. Phase-in: Takes Advantage of Expansion  Extremely useful for experiments where everyone will / should get the treatment  Natural approach when expanding program faces resource constraints  What determines which schools, branches, etc. will be covered in which year?
  • 25. Phase-in Design Round 3 Treatment: 3/3 Control: 0 1 1 3 3 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 Round 1 Treatment: 1/3 Control: 2/3 Round 2 Treatment: 2/3 Control: 1/3 Randomized evaluation ends
  • 26. Phase-in Designs  Advantages • Everyone gets the treatment eventually • Provides incentives to maintain contact  Concerns • Can complicate estimating long-run effects • Care required with phase-in windows • Do expectations change actions today?
  • 27. Rotation Design  Groups get treatment in turns: • Group A benefits from the program in period 1 but not in in period 2 • Group B does not have the program in period 1 but receives it in period 2
  • 28. Rotation Design Round 1 Treatment: 1/2 Control: 1/2 Round 2 Treatment from Round 1  Control —————————————————————————— Control from Round 1  Treatment
  • 29. Rotation Design  Advantages • Perceived as fairer • Easier to get accepted (at least initially).  Concerns • Control group anticipates future eligibility • AND Treatment group anticipates the loss of eligibility • Impossible to estimate a long term impact.
  • 30. Encouragement Design: What to do When you Can’t Randomize Access  Sometimes it’s practically or ethically impossible to randomize program access  But most programs have less than 100% take-up  Randomize encouragement to receive treatment
  • 31. What is “Encouragement”?  Something that makes some folks more likely to use program than others  Not itself a “treatment”  For whom are we estimating the treatment effect?  Think about who responds to encouragement
  • 32. Which two groups would you compare in an encouragement design? A. Encouraged vs. Not encouraged B. Participants vs. Non-participants C. Compliers vs. Non-compliers D. Don’t know 0% 0% 0% 0% Participants vs. Non-part... Encouraged vs. Not enco... Compliers vs. Non-compliers Don’t know
  • 33. Encouragement Design Encourage Do not encourage Participated Did not participate Complying Not complying Compare encouraged to not encouraged These must be correlated Do not compare participants to non-participants Adjust for non-compliance in analysis phase
  • 34. Randomization « In the Bubble »  Sometimes there are as many eligible as treated individuals • Suppose there are 2000 applicants • Screening of applications produces 500 « worthy » candidates • There are 500 slots: you can’t do a simple lottery.  Consider the screening rules • Selection procedures may only exist to reduce eligible candidates in order to meet a capacity constraint • It may be interesting to test the relevance of the selection procedure and evaluate the program at the same time.  Randomization in the bubble: • Among individuals who just below the threshold
  • 35. Randomization in “The Bubble” Within the bubble, compare treatment to control Participants (scores > 700) Non-participants (scores < 500) Treatment Control
  • 36. To Summarize: Possible designs  Simple lottery  Randomized phase-in  Rotation  Encouragement design • Note: These are not mutually exclusive.  Randomization in the “bubble” • Partial lottery with screening
  • 37. Methods of Randomization: Recap Design Most useful when… Advantages Disadvantages Basic Lottery  Program over subscribed  Familiar  Easy to understand  Easy to implement  Can be implemented in public  Control group may not cooperate  Differential attrition
  • 38. Methods of Randomization: Recap Design Most useful when… Advantages Disadvantages Phase-In  Expanding over time  Everyone must receive treatment eventually  Easy to understand  Constraint is easy to explain  Control group complies because they expect to benefit later  Anticipation of treatment may impact short-run behavior  Difficult to measure long-term impact
  • 39. Methods of Randomization: Recap Design Most useful when… Advantages Disadvantages Rotation  Everyone must receive something at some point  Not enough resources per given time period for all  More data points than phase-in  Difficult to measure long-term impact
  • 40. Methods of randomization: Recap Design Most useful when… Advantages Disadvantages Encouragement  Program has to be open to all comers  When take-up is low, but can be easily improved with an incentive  Can randomize at individual level even when the program is not administered at that level  Measures impact of those who respond to the incentive  Need large enough inducement to improve take-up  Encouragement itself may have direct effect
  • 41. What randomization method would you choose if your partner requires that everyone receives treatment at some point in time? A. Basic lottery B. Phase-in C. Rotation D. Randomization in the bubble E. Encouragement F. Don’t know 0% 0% 0% 0% 0% 0% Basic lottery Randomization in the b... Phase-in design Rotation design Don’t know Encouragement
  • 42. VARIATIONS ON SIMPLE TREATMENT-CONTROL
  • 43. Multiple Treatments  Sometimes core question is deciding among different possible interventions  You can randomize these programs  Does this teach us about the benefit of any one intervention?  Do you have a control group?
  • 44. Multiple Treatments Control Treatment 1 Treatment 2
  • 45. Cross-cutting Treatments  Test different components of treatment in different combinations  Test whether components serve as substitutes or complements  What is most cost-effective combination?  Advantage: win-win for operations, can help answer questions for them, beyond simple “impact”!  An example?
  • 46. Varying Levels of Treatment  Some villages are assigned full treatment • All households get double fortified salt  Some villages are assigned partial treatment • 50% of households get double fortified salt  Testing subsidies, prices and cost-effectiveness!
  • 47. Stratification  Objective: balancing your sample when you have a small sample  What is it? • Dividing the sample into different subgroups • Assign treatment and control within each subgroup
  • 48. When to Stratify  Stratify on variables that could have important impact on outcome variable  Stratify on subgroups that you are particularly interested in (where may think impact of program may be different)  Stratification more important when small data set  Can get complex to stratify on too many variables  Makes the draw less transparent the more you stratify
  • 49. Mechanics of Randomization  Need sample frame  Pull out of a hat/bucket  Use random number generator in spreadsheet program to order observations randomly  Stata program code  What if no existing list?