What to research and how?
Research questions, sampling and all
that
Faisal Bari
Associate Prof. of Economics, LUMS
Associate Fellow, IDEAS
(With contribution from Dr. Farooq
Naseer, IDEAS)
Outline
• What does the TNA tell us
• Framing of research issues, questions and
tools. This appears to be simpler than it
is….demands reflexivity
• Sampling and related issues…all about power
Ilm-Ideas TNA: Research Tools
0
2
4
6
8
10
12
14
16
18
Focus Groups Interviews HH Surveys School level
survey
Case studies Secondary
analysis of data
Statistical models Other
Research tools used most often
1 2 3 4 5
Ilm-Ideas: Tools Required
11
13
12
15
13
11
14
14
10
15
14
17
14
13
6
4
5
2
4
6
3
3
7
2
3
0
3
4
Conducting a research needs assessment and/or defining research
objectives
Identifying priority research questions
Selecting research sites and developing criteria for the selection
Selecting and justifying the sampling strategy and target numbers
Sampling – selecting the research target group
Conducting desk research to identify good practice examples within and
outside the country of similar researches undertaken
Developing research indicators
Developing research tools and instruments
Piloting the research instruments
Conducting qualitative and quantitative research tools and instruments
Management of data collection/fieldwork, including the control, supervision
and debriefings of field workers/interviewers
Use of data analysis software and systems
Conduct data interpretation and analysis
Report writing
Priority Non-Priority
Research Capacity
8
7
7
6
7
10
7
10
12
10
10
3
9
11
8
10
8
8
8
5
8
7
3
5
5
7
5
4
1
0
2
3
2
2
2
0
2
2
2
7
3
1
0 2 4 6 8 10 12 14 16 18
Conducting research needs assessment and/or defining research objectives
Identifying priority research questions
Selecting research sites and developing criteria for the selection
Selecting and justifying the sampling strategy and target numbers
Sampling – selecting the research target group
Conducting desk research to identify good practice examples
Developing research indicators
Developing qualitative and quantitative research tools and instruments
Piloting the research instruments
Conducting qualitative and quantitative research tools and instruments
Management of data collection/fieldwork, including the control,
supervision and debriefings of field workers/interviewers
Use of data analysis software and systems
Conduct data interpretation and analysis
Report writing
Organizational Capacity - Research
High Medium Low
Main Challenges in Policy Research
• Getting concerned institutions engaged and motivated
• Data management
• Interpreting data
• Report writing
• Availability of updated data
• Accessing policy documents
• Low experience/expertise in conducting policy research
• Access and availability of public expenditure documents
• Discrepancy in government data/inaccurate govt. data
• Dearth of qualitative research experts in the country
• Lack of interest within policy circles
• Shortage of sector experts
• Community based research
• Sometimes funding agency and govt. interests don’t match
Framing Research
• Can you tell whether you are drinking Coca Cola?
• For a single person: coke or not
• For a single person: coke or other colas
• For many people: coke or not
• For many people: coke or other colas
• Trivial? Think of cure for cancer 10% total cure
versus 50 percent improvement for 50% (but not
cure)
Framing Research: Examples
• Private Public Partnerships in Education:
Adopt a school programme
• Importance and need: 25 A and quality issues
• Variation in legal frameworks: Punjab and
Sindh
• Variation in models: PEN, CARE, SEF
• Variations across time: do models mature.
What is the exit strategy
Framing Research: Examples
• Remedial education for teachers (will come back
to this at the end too)
• DSD reports, PEC results….content knowledge of
teachers is a significant issue
• How to remedy that? CPD already in place
• Something that is scale-able also
• Using DTEs to reach teachers (Maths and Science)
• Use technology to reduce cost
Framing Research: Examples MFN
• Post fact impact evaluation…one way MFN
paper
• Introductory paras set the context and
question
• Issue of composite effect…rather than
isolating contributions. Child friendly (teacher
training, materials, parental
involvement)…better learning
Framing Research: Examples MFN
• Propensity score matching (not gold
standard…but best available here)
• Two stage matching: Schools and then
children (need both school and
children/family characteristics)
• School level matching: geography, medium,
level of school
Framing Research: Examples MFN
• Within school blocks….child matching
• Robustness
• Children joining…dropped…selection bias
• Treatment and control children…good match
on average
Framing Research: Examples MFN
• Mining….Item Response Theory (IRT)
• Possibility of leakage (teacher transfers,
student transfers)
• No non-cognitive testing….where gains might
be large too
• Could we check if the effect was different on
the weakest/strongest students
Framing Research: Examples
• Tahir Andrabi and the recent education
recovery paper.
• Distance from Fault Line as the independent
variable
• How is that established? And What is its
importance
• The results are insightful….the ‘hey, wait a
minute’ moment
Sampling Issues:
• Statistics Refresher: Summarizing data
• Sampling:
– Minimizing error
– Representativeness
• Hypotheses testing
• Power
Data: Summarizing
• Variation is what we study: variation is King
• Statistics helps us summarize data by using
two important features of a dataset:
–the average (mean, center)
• what is the average age of participants in this room?
• Is it important?....not a technical issue only (The deer
hunter)
–the variance (variability, spread)
• by how much does age vary across participants?
• Again….is it important…and when (50 or 0/100)
Distribution
Population and Sample
• Measuring the population gives us the truth!
(assuming there is no measurement error)
– But we usually cannot survey the entire
population
– Hence we must draw a sample
• How do we choose the sample?
• How large should be the sample?
Sample
• Sample must be representative of the population:
– Draw a random sample
– Jute example, skulls, Indian census
• But still, the sample is not some fixed subset of the
population so each sample will be different!
• This is called “sampling error.” How to reduce it?
– Draw a larger sample.
– But how large? (depends on the hypothesis of interest
and sampling error… want to maximize the “power” to
reject incorrect hypotheses)
Simple Random Sampling
• List every individual in the population of interest
(population size: N)
• Decide on a sample size based on ‘power’
calculations (sample size: n < N)… to be discussed
• Randomly pick n individuals from the population
such that each individual has a positive chance of
being picked
• Examples:
• Toss a coin
• Draw lots out of a basket
• Use a computer software
Stratified Random Sampling
• Mark separate sub-groups (or strata) in the
population list before drawing a random
sample from each
• Stratified Sampling
– For adequate representation
of different sub-groups (i.e. strata)
in the population
– For a given sample size, reduces the
sampling error as compared to the
un-stratified simple random sampling
• Trade-off between the cost of doing stratification and the
smaller sample size needed
• Fraction sampled could be different across strata; improves
across-group comparisons
Two Nice Results
• Before we turn to hypothesis testing and the concept
of statistical power, important to recognize that the
sample average behaves well in large samples
• Law of Large Numbers
– The sample average will approach the true
population average as the sample size increases
• Central Limit Theorem
– The sample average will tend to be normally
distributed, around the true population average
value, as the sample size increases
Normal Distribution
𝑀𝑒𝑎𝑛: 𝜇 =
𝑥𝑖
𝑛
𝑆𝑡. 𝑑𝑒𝑣: 𝜎 =
(𝑥𝑖 − 𝜇)
2
𝑛
Hypothesis Testing
• Suppose the average pre-training knowledge of M&E
in the population is 3/10 points on a standardized
test
• How can we empirically test whether this course
improves M&E knowledge?
• In statistical terms, this test can be stated as follows:
– H0 or the null hypothesis: This hypothesis states what you
would like to disprove i.e. “no effect”.
– H1 or the alternative hypothesis: The course improves
M&E knowledge i.e. “positive effect”.
Hypothesis Testing
• Ex-post, administer the test on multiple cohorts of course
participants –OR– use statistical theory to decide based on
just one cohort
• When is the average test score of course participants in a
cohort “significantly” (i.e. statistically) higher than 3?
• That is, allowing for
sampling error, when
can we be “confident”
that we are observing a
real improvement in M&E
scores?
• Depends on the sampling error
in average test score
Hypothesis Testing
• Suppose, you want to test a promising
intervention designed to improve
• (M&E) education. Question: Is the intervention
(“treatment”) effective?
Statistical Power
• The power of a test is the probability of
correctly rejecting the null hypothesis
• In other words, power is the probability of
correctly declaring the treatment as beneficial
• Hence, Statistical Power = 1 – Prob(Type-II
error)
Importance of getting power right
Testing a new ‘miracle’ cure for cancer
– Power too low; missed a large treatment effect
– Power too high; wasted resources in doing a large study to
declare a tiny, clinically irrelevant effect as statistically
significant
– Power just right; have a good chance of detecting
reasonably sized effects, but not tiny ones
Power: Main Ingredients
For a given significance level, power depends on
the following:
1. Sample Size
2. Assumed Effect Size under H1
3. Variance of outcome in the study population
4. Proportion of sample in T vs C
5. Clustering
Power Sample Size
• Increasing the sample size reduces the
sampling error (i.e. sample-to-sample
variation) in the sample average
Treatment Effect
Variance
• The “sampling error” in the sample average,
sigma^2/n, is directly proportional to the
(“natural”) variance in the outcome variable in
the population
• There is sometimes very little we can do to
reduce the noise
• The underlying variance is what it is
• We can try to “absorb” variance:
– controlling for other variables
Clustering:
• You want to know how close the upcoming
national elections will be
• Method 1: Randomly select 50 people from the
entire population
• Method 2: Randomly select 10 families, and ask
five members of each family their opinion
• Method 2 will yield relatively imprecise/noisy
estimates if the political opinion within families
does not tend to vary a lot (high “intra-cluster
correlation”)
Sampling Frames for Examples Used
• For PPP
• For remedial education for teachers
• Why did MFN go the way he did
And last but not least
• Happy hunting
• Thank you

More Related Content

PPTX
Collection of data
PPTX
Chapter 7 sampling methods
PPT
Chap4 part 1
PDF
Qualitative and quantitative research
PPT
data interpretation
PPTX
Slideshare Presentation of Qualitative Data
PPTX
Business Research Methods Unit III
PDF
Capturing and Analyzing Qualitative Data in Surveys
Collection of data
Chapter 7 sampling methods
Chap4 part 1
Qualitative and quantitative research
data interpretation
Slideshare Presentation of Qualitative Data
Business Research Methods Unit III
Capturing and Analyzing Qualitative Data in Surveys

What's hot (20)

PPT
Survey - How to
PDF
Business research methods_mba_unit-2
PPTX
4 sampling
PPTX
Qualitative analysis
ODP
Qualitative research, lab report overview, and review of lectures 1 to 7
PDF
Bridging the Gap Higher Education Pedagogy
PDF
Analysing qualitative data from information organizations
PPT
Quantitative data analysis - John Richardson
PDF
PPTX
Data presentation and analysis for case study research
PPT
Dissertation Proposal
PPTX
Results chapter conducting, interpreting, and writing
PPTX
Qualitative data analysis
PDF
Res701 research methodology lecture 7 8-devaprakasam
PPTX
Prepare your Ph.D. Defense Presentation
PPT
11 - qualitative research data analysis ( Dr. Abdullah Al-Beraidi - Dr. Ibrah...
PPTX
Quality Research
PPT
Qualitative data analysis
PDF
Framing good research proposal
PPT
3. lecture 3 literature review &amp; analytical framework development
Survey - How to
Business research methods_mba_unit-2
4 sampling
Qualitative analysis
Qualitative research, lab report overview, and review of lectures 1 to 7
Bridging the Gap Higher Education Pedagogy
Analysing qualitative data from information organizations
Quantitative data analysis - John Richardson
Data presentation and analysis for case study research
Dissertation Proposal
Results chapter conducting, interpreting, and writing
Qualitative data analysis
Res701 research methodology lecture 7 8-devaprakasam
Prepare your Ph.D. Defense Presentation
11 - qualitative research data analysis ( Dr. Abdullah Al-Beraidi - Dr. Ibrah...
Quality Research
Qualitative data analysis
Framing good research proposal
3. lecture 3 literature review &amp; analytical framework development
Ad

Viewers also liked (20)

PDF
Analysis of Mechanical and Metallurgical properties of Al-SiCp Composite by S...
PPSX
SER CATOLICO
PPT
Assessment of business plan session 24 28 november 2014 step by step
PDF
Digital collaboration with machine-readable sign language text in the SignWri...
PDF
Proyectos Inmobiliarios octubre
PPTX
1st Web Cross Channel Seminar - Udfordringen Online/Offline
PPTX
Planning & implementing v&a projects
PPTX
Microwave oven
PDF
Taking Social Media to the Next Level
PDF
Evidence based Advocacy-Do's and Donts from Ilm Ideas on Slide Share
PPT
Rocks
PPT
Effective Advocacy: Best Practices from Ilm Ideas on Slide Share
PPT
Minnesota Turns Away Hungry Kids from School Lunch
PDF
Interior Design @ Shobha Topaz
PDF
Residence @ Irinjalakuda
PPT
Geo evol parrish
PPTX
Issues with SignWriting in Unicode 8
PPTX
кадеты
PPTX
Bio evolution
PPTX
Bee-better/ronaldopantaneiro
Analysis of Mechanical and Metallurgical properties of Al-SiCp Composite by S...
SER CATOLICO
Assessment of business plan session 24 28 november 2014 step by step
Digital collaboration with machine-readable sign language text in the SignWri...
Proyectos Inmobiliarios octubre
1st Web Cross Channel Seminar - Udfordringen Online/Offline
Planning & implementing v&a projects
Microwave oven
Taking Social Media to the Next Level
Evidence based Advocacy-Do's and Donts from Ilm Ideas on Slide Share
Rocks
Effective Advocacy: Best Practices from Ilm Ideas on Slide Share
Minnesota Turns Away Hungry Kids from School Lunch
Interior Design @ Shobha Topaz
Residence @ Irinjalakuda
Geo evol parrish
Issues with SignWriting in Unicode 8
кадеты
Bio evolution
Bee-better/ronaldopantaneiro
Ad

Similar to How to Develop and Implement Effective Research Tools from Ilm Ideas on Slide Share (20)

PPTX
research_documnets insexing_ipr_2024.pptx
PDF
Session 3 sample design
PDF
Fundamentals of Research Methodology
PPTX
Research Methodology
PPT
Rm 1 Intro Types Research Process
PPT
Research methods
PPTX
Process of Research- Stages in Social Science Research
PPT
Principal steps in a Statistical Enquiry
PDF
ICAR-IFPRI - Basic Research Questions lecture 1 - Devesh Roy, IFPRI
PPT
Research methodology
PPT
Collecting Quantitative Datafinished
PDF
Data collection.pdf
DOCX
Unit i
PPT
BRM Consolidated.ppt BRM Consolidated.ppt
PPTX
research methodology
PPTX
introduction Research methodology
PPT
Process of Business Research and Types
PPTX
Research aptitude
PPTX
selection of research problem .pptx
research_documnets insexing_ipr_2024.pptx
Session 3 sample design
Fundamentals of Research Methodology
Research Methodology
Rm 1 Intro Types Research Process
Research methods
Process of Research- Stages in Social Science Research
Principal steps in a Statistical Enquiry
ICAR-IFPRI - Basic Research Questions lecture 1 - Devesh Roy, IFPRI
Research methodology
Collecting Quantitative Datafinished
Data collection.pdf
Unit i
BRM Consolidated.ppt BRM Consolidated.ppt
research methodology
introduction Research methodology
Process of Business Research and Types
Research aptitude
selection of research problem .pptx

Recently uploaded (20)

PPTX
Climate Change and Its Global Impact.pptx
PDF
Health aspects of bilberry: A review on its general benefits
PPTX
Neurology of Systemic disease all systems
PPTX
ACFE CERTIFICATION TRAINING ON LAW.pptx
PDF
Everyday Spelling and Grammar by Kathi Wyldeck
PPTX
Theoretical for class.pptxgshdhddhdhdhgd
PPTX
Reproductive system-Human anatomy and physiology
PDF
FYJC - Chemistry textbook - standard 11.
PPTX
Why I Am A Baptist, History of the Baptist, The Baptist Distinctives, 1st Bap...
PPTX
PLASMA AND ITS CONSTITUENTS 123.pptx
PPTX
Key-Features-of-the-SHS-Program-v4-Slides (3) PPT2.pptx
PDF
faiz-khans about Radiotherapy Physics-02.pdf
PPT
hsl powerpoint resource goyloveh feb 07.ppt
PPTX
Cite It Right: A Compact Illustration of APA 7th Edition.pptx
PDF
Hospital Case Study .architecture design
PPTX
BSCE 2 NIGHT (CHAPTER 2) just cases.pptx
PPT
Acidosis in Dairy Herds: Causes, Signs, Management, Prevention and Treatment
PPTX
pharmaceutics-1unit-1-221214121936-550b56aa.pptx
PPTX
Integrated Management of Neonatal and Childhood Illnesses (IMNCI) – Unit IV |...
PPTX
Macbeth play - analysis .pptx english lit
Climate Change and Its Global Impact.pptx
Health aspects of bilberry: A review on its general benefits
Neurology of Systemic disease all systems
ACFE CERTIFICATION TRAINING ON LAW.pptx
Everyday Spelling and Grammar by Kathi Wyldeck
Theoretical for class.pptxgshdhddhdhdhgd
Reproductive system-Human anatomy and physiology
FYJC - Chemistry textbook - standard 11.
Why I Am A Baptist, History of the Baptist, The Baptist Distinctives, 1st Bap...
PLASMA AND ITS CONSTITUENTS 123.pptx
Key-Features-of-the-SHS-Program-v4-Slides (3) PPT2.pptx
faiz-khans about Radiotherapy Physics-02.pdf
hsl powerpoint resource goyloveh feb 07.ppt
Cite It Right: A Compact Illustration of APA 7th Edition.pptx
Hospital Case Study .architecture design
BSCE 2 NIGHT (CHAPTER 2) just cases.pptx
Acidosis in Dairy Herds: Causes, Signs, Management, Prevention and Treatment
pharmaceutics-1unit-1-221214121936-550b56aa.pptx
Integrated Management of Neonatal and Childhood Illnesses (IMNCI) – Unit IV |...
Macbeth play - analysis .pptx english lit

How to Develop and Implement Effective Research Tools from Ilm Ideas on Slide Share

  • 1. What to research and how? Research questions, sampling and all that Faisal Bari Associate Prof. of Economics, LUMS Associate Fellow, IDEAS (With contribution from Dr. Farooq Naseer, IDEAS)
  • 2. Outline • What does the TNA tell us • Framing of research issues, questions and tools. This appears to be simpler than it is….demands reflexivity • Sampling and related issues…all about power
  • 3. Ilm-Ideas TNA: Research Tools 0 2 4 6 8 10 12 14 16 18 Focus Groups Interviews HH Surveys School level survey Case studies Secondary analysis of data Statistical models Other Research tools used most often 1 2 3 4 5
  • 4. Ilm-Ideas: Tools Required 11 13 12 15 13 11 14 14 10 15 14 17 14 13 6 4 5 2 4 6 3 3 7 2 3 0 3 4 Conducting a research needs assessment and/or defining research objectives Identifying priority research questions Selecting research sites and developing criteria for the selection Selecting and justifying the sampling strategy and target numbers Sampling – selecting the research target group Conducting desk research to identify good practice examples within and outside the country of similar researches undertaken Developing research indicators Developing research tools and instruments Piloting the research instruments Conducting qualitative and quantitative research tools and instruments Management of data collection/fieldwork, including the control, supervision and debriefings of field workers/interviewers Use of data analysis software and systems Conduct data interpretation and analysis Report writing Priority Non-Priority
  • 5. Research Capacity 8 7 7 6 7 10 7 10 12 10 10 3 9 11 8 10 8 8 8 5 8 7 3 5 5 7 5 4 1 0 2 3 2 2 2 0 2 2 2 7 3 1 0 2 4 6 8 10 12 14 16 18 Conducting research needs assessment and/or defining research objectives Identifying priority research questions Selecting research sites and developing criteria for the selection Selecting and justifying the sampling strategy and target numbers Sampling – selecting the research target group Conducting desk research to identify good practice examples Developing research indicators Developing qualitative and quantitative research tools and instruments Piloting the research instruments Conducting qualitative and quantitative research tools and instruments Management of data collection/fieldwork, including the control, supervision and debriefings of field workers/interviewers Use of data analysis software and systems Conduct data interpretation and analysis Report writing Organizational Capacity - Research High Medium Low
  • 6. Main Challenges in Policy Research • Getting concerned institutions engaged and motivated • Data management • Interpreting data • Report writing • Availability of updated data • Accessing policy documents • Low experience/expertise in conducting policy research • Access and availability of public expenditure documents • Discrepancy in government data/inaccurate govt. data • Dearth of qualitative research experts in the country • Lack of interest within policy circles • Shortage of sector experts • Community based research • Sometimes funding agency and govt. interests don’t match
  • 7. Framing Research • Can you tell whether you are drinking Coca Cola? • For a single person: coke or not • For a single person: coke or other colas • For many people: coke or not • For many people: coke or other colas • Trivial? Think of cure for cancer 10% total cure versus 50 percent improvement for 50% (but not cure)
  • 8. Framing Research: Examples • Private Public Partnerships in Education: Adopt a school programme • Importance and need: 25 A and quality issues • Variation in legal frameworks: Punjab and Sindh • Variation in models: PEN, CARE, SEF • Variations across time: do models mature. What is the exit strategy
  • 9. Framing Research: Examples • Remedial education for teachers (will come back to this at the end too) • DSD reports, PEC results….content knowledge of teachers is a significant issue • How to remedy that? CPD already in place • Something that is scale-able also • Using DTEs to reach teachers (Maths and Science) • Use technology to reduce cost
  • 10. Framing Research: Examples MFN • Post fact impact evaluation…one way MFN paper • Introductory paras set the context and question • Issue of composite effect…rather than isolating contributions. Child friendly (teacher training, materials, parental involvement)…better learning
  • 11. Framing Research: Examples MFN • Propensity score matching (not gold standard…but best available here) • Two stage matching: Schools and then children (need both school and children/family characteristics) • School level matching: geography, medium, level of school
  • 12. Framing Research: Examples MFN • Within school blocks….child matching • Robustness • Children joining…dropped…selection bias • Treatment and control children…good match on average
  • 13. Framing Research: Examples MFN • Mining….Item Response Theory (IRT) • Possibility of leakage (teacher transfers, student transfers) • No non-cognitive testing….where gains might be large too • Could we check if the effect was different on the weakest/strongest students
  • 14. Framing Research: Examples • Tahir Andrabi and the recent education recovery paper. • Distance from Fault Line as the independent variable • How is that established? And What is its importance • The results are insightful….the ‘hey, wait a minute’ moment
  • 15. Sampling Issues: • Statistics Refresher: Summarizing data • Sampling: – Minimizing error – Representativeness • Hypotheses testing • Power
  • 16. Data: Summarizing • Variation is what we study: variation is King • Statistics helps us summarize data by using two important features of a dataset: –the average (mean, center) • what is the average age of participants in this room? • Is it important?....not a technical issue only (The deer hunter) –the variance (variability, spread) • by how much does age vary across participants? • Again….is it important…and when (50 or 0/100)
  • 18. Population and Sample • Measuring the population gives us the truth! (assuming there is no measurement error) – But we usually cannot survey the entire population – Hence we must draw a sample • How do we choose the sample? • How large should be the sample?
  • 19. Sample • Sample must be representative of the population: – Draw a random sample – Jute example, skulls, Indian census • But still, the sample is not some fixed subset of the population so each sample will be different! • This is called “sampling error.” How to reduce it? – Draw a larger sample. – But how large? (depends on the hypothesis of interest and sampling error… want to maximize the “power” to reject incorrect hypotheses)
  • 20. Simple Random Sampling • List every individual in the population of interest (population size: N) • Decide on a sample size based on ‘power’ calculations (sample size: n < N)… to be discussed • Randomly pick n individuals from the population such that each individual has a positive chance of being picked • Examples: • Toss a coin • Draw lots out of a basket • Use a computer software
  • 21. Stratified Random Sampling • Mark separate sub-groups (or strata) in the population list before drawing a random sample from each • Stratified Sampling – For adequate representation of different sub-groups (i.e. strata) in the population – For a given sample size, reduces the sampling error as compared to the un-stratified simple random sampling • Trade-off between the cost of doing stratification and the smaller sample size needed • Fraction sampled could be different across strata; improves across-group comparisons
  • 22. Two Nice Results • Before we turn to hypothesis testing and the concept of statistical power, important to recognize that the sample average behaves well in large samples • Law of Large Numbers – The sample average will approach the true population average as the sample size increases • Central Limit Theorem – The sample average will tend to be normally distributed, around the true population average value, as the sample size increases
  • 23. Normal Distribution 𝑀𝑒𝑎𝑛: 𝜇 = 𝑥𝑖 𝑛 𝑆𝑡. 𝑑𝑒𝑣: 𝜎 = (𝑥𝑖 − 𝜇) 2 𝑛
  • 24. Hypothesis Testing • Suppose the average pre-training knowledge of M&E in the population is 3/10 points on a standardized test • How can we empirically test whether this course improves M&E knowledge? • In statistical terms, this test can be stated as follows: – H0 or the null hypothesis: This hypothesis states what you would like to disprove i.e. “no effect”. – H1 or the alternative hypothesis: The course improves M&E knowledge i.e. “positive effect”.
  • 25. Hypothesis Testing • Ex-post, administer the test on multiple cohorts of course participants –OR– use statistical theory to decide based on just one cohort • When is the average test score of course participants in a cohort “significantly” (i.e. statistically) higher than 3? • That is, allowing for sampling error, when can we be “confident” that we are observing a real improvement in M&E scores? • Depends on the sampling error in average test score
  • 26. Hypothesis Testing • Suppose, you want to test a promising intervention designed to improve • (M&E) education. Question: Is the intervention (“treatment”) effective?
  • 27. Statistical Power • The power of a test is the probability of correctly rejecting the null hypothesis • In other words, power is the probability of correctly declaring the treatment as beneficial • Hence, Statistical Power = 1 – Prob(Type-II error)
  • 28. Importance of getting power right Testing a new ‘miracle’ cure for cancer – Power too low; missed a large treatment effect – Power too high; wasted resources in doing a large study to declare a tiny, clinically irrelevant effect as statistically significant – Power just right; have a good chance of detecting reasonably sized effects, but not tiny ones
  • 29. Power: Main Ingredients For a given significance level, power depends on the following: 1. Sample Size 2. Assumed Effect Size under H1 3. Variance of outcome in the study population 4. Proportion of sample in T vs C 5. Clustering
  • 30. Power Sample Size • Increasing the sample size reduces the sampling error (i.e. sample-to-sample variation) in the sample average
  • 32. Variance • The “sampling error” in the sample average, sigma^2/n, is directly proportional to the (“natural”) variance in the outcome variable in the population • There is sometimes very little we can do to reduce the noise • The underlying variance is what it is • We can try to “absorb” variance: – controlling for other variables
  • 33. Clustering: • You want to know how close the upcoming national elections will be • Method 1: Randomly select 50 people from the entire population • Method 2: Randomly select 10 families, and ask five members of each family their opinion • Method 2 will yield relatively imprecise/noisy estimates if the political opinion within families does not tend to vary a lot (high “intra-cluster correlation”)
  • 34. Sampling Frames for Examples Used • For PPP • For remedial education for teachers • Why did MFN go the way he did
  • 35. And last but not least • Happy hunting • Thank you