Estimate Std. Error t value Pr(>|t|)
(Intercept) 52.523 2.733 19.219 0
study_hours 5.190 0.436 11.915 0
Carolina Torreblanca
University of Pennsylvania
Global Development: Intermediate Topics in Politics, Policy, and Data
PSCI 3200 - Spring 2026
Final Project Git Repo: should have been submitted today
Research Question and Data sketch: due Monday, February 23
What do we mean by representation?
Acting in the voter’s best interests
What is the claim connecting democracy and representation?
Under democracy, governments are representative because they are elected
But why?
Elections serve to select good policy
Elections serve to hold governments accountable for their past actions
Fundamentally retrospective
Voters retain politicians only when they acted in their best interest
Politicians anticipate this and serve!
Do we feel these mechanisms are plausible?
What might be some issues with these characterizations of representation?
Citizens are not omniscient, for better and for worse
Imperfect evaluation of what politicians should do
Imperfect evaluation of whether they did what they ought to have done
Politicians have goals, interests, and values of their own, and monitoring is costly
Is it plausible to think governments will do what they propose?
Is it desirable?
Politicians are not legally compelled to abide by their platform in any democratic system! Why?
Idea is reward or punish depending on their performance
Is it plausible to think citizens have enough information to evaluate politicians?
What if politicians do not value getting reelected
In the accountability view, voters are retrospective
In the mandate view, voters are prospective
In reality, voters want to do both: select good policy and punish bad behavior
But we only have one vote. Can we achieve both goals?
So far we’ve talked about voters holding elected politicians accountable
But what about public services? Health clinics, schools, water systems?
The people running these services are often not elected. Should they still be accountable?
“Community-based monitoring, or social accountability, is an approach towards building accountability that relies on civic engagement where citizens and civil society organizations directly or indirectly participate in extracting accountability”
In many poor countries, clinics are closed when they should be open
Health workers are frequently absent
Drugs and vaccines are misused, public funds are stolen
Top-down monitoring often weak and ineffective
Providing communities with information about facility performance will increase monitoring
Giving communities tools to organize collectively will increase monitoring
Increased monitoring will change provider behavior and improve health outcomes
H1: Information \(\rightarrow\) monitoring
“Provision of information on outcomes and performance improves citizens’ ability to challenge abuses of the system, since reliable quantitative information is more difficult for service providers to brush aside as anecdotal, partial, or simply irrelevant”
H2: Organization \(\rightarrow\) monitoring
“Exerting accountability (monitoring providers) is subject to potentially large free-rider problems. Elite capture further complicates the process of holding providers accountable”
\[y_{jd} = \alpha + \beta \, T_j + X_{jd}'\gamma + \theta_d + \varepsilon_{jd}\]
Did monitoring increase? (H1 + H2)
B&S surveyed households before and after the intervention
They combine (“stack”) both survey rounds into one dataset and estimate:
\[y_{ijt} = \gamma \, POST_t + \beta_{DD}(T_j \times POST_t) + \mu_j + \varepsilon_{ijt}\]
What is \(T_j \times POST_t\) doing?
Sometimes we think the effect of one variable depends on the value of another variable
Does studying more improve your grade? Probably. But does it help more if you slept well?
Imagine you have data on how much your peers slept and how well they performed
We fit a regular OLS, like we know how to do
Estimate Std. Error t value Pr(>|t|)
(Intercept) 52.523 2.733 19.219 0
study_hours 5.190 0.436 11.915 0
But what if the effect of studying depends on whether you slept well?
We add a product of the two variables to the regression:
\[\text{score} = \alpha + \beta_1 \, \text{study} + \beta_2 \, \text{sleep} + \beta_3 (\text{study} \times \text{sleep}) + \varepsilon\]
How many values can slept_well take? Two: 0 (No) and 1 (Yes)
Plug in slept_well = 0:
\[\text{score} = \alpha + \beta_1 \, \text{study} + \beta_2 \cdot 0 + \beta_3 (\text{study} \times 0)\]
\[= \alpha + \beta_1 \, \text{study}\]
One slope: \(\beta_1\). This is the line for students who did not sleep well
Now plug in slept_well = 1:
\[\text{score} = \alpha + \beta_1 \, \text{study} + \beta_2 \cdot 1 + \beta_3 (\text{study} \times 1)\]
\[= \alpha + \beta_1 \, \text{study} + \beta_2 + \beta_3 \, \text{study}\]
Intercept is now \(\alpha + \beta_2\). Slope on study is now \(\beta_1 + \beta_3\)
study_hours = 2.90: for students who did not sleep well, one more hour of studying raises their score by about 2.9 points on averageslept_wellYes = 4.81: for a student who studied zero hours, going from sleeping bad to well raises their score by 4.8 points on averagestudy_hours:slept_wellYes = 4.21: for students who slept well, one more hour of studying raises their score by an extra 4.2 points\[y_{ijt} = \gamma \, POST_t + \beta_{DD}(T_j \times POST_t) + \mu_j + \varepsilon_{ijt}\]
Outcomes change over time for everyone – people get sick, seasons change, the economy shifts. \(\gamma\) captures that
But did outcomes change more in treatment communities? That is what \(\beta_{DD}\) tells us
The interaction \(T_j \times POST_t\) separates what changed because of the intervention from what changed just because time passed
When the interaction is between a group and time
(plus a bunch of assumptions)
this is a difference-in-differences