Evidence-Informed Policy

 

POLSCI 4SS3
Winter 2024

Policy

  • Policy is an umbrella term to describe government programs or operations at different levels

  • Examples:

    • How long should form 57B be?

    • Should we get help from private clinics to clear surgey backlogs?

    • Should the education budget increase?

    • When should the next federal election be held?

Evidence-Informed

  • Of course we want to base policy on evidence!

  • But there is no objective evidence when it comes to human behavior

  • We say evidence-informed because the best we can do is try to prove ourselves wrong, but we cannot base policy on evidence the same way medicine does

Two approaches

  1. Evidence as insight
  1. Evidence as evaluation

How can you determine if a policy works?

Example

The lady tasting tea

A lady declares that by tasting a cup of tea made with milk she can discriminate whether the milk or the tea infusion was first added to the cup

 

How do you evaluate this claim?

An experiment

  • Suppose we have eight milk tea cups

  • 4 milk first, 4 tea first

  • We arrange them in random order

  • Lady knows there are 4 of each, but not which ones

Results

True Order
Lady's Guesses Tea First Milk First
Tea First 3 1
Milk First 1 3
  • She gets it right \(6/8\) times

  • What can we conclude?

Problem

  • How does “being able to discriminate” look like?

  • Same for policy, we don’t know how the world where the policy works look like

  • But we do know how a person without the ability to discriminate milk/tea order looks like

  • This lets us make probability statements about this hypothetical world of no effect

A person with no ability

Count Possible combinations Total
0 xxxx \(1 \times 1 = 1\)
1 xxxo, xxox, xoxx, oxxx \(4 \times 4 = 16\)
2 xxoo, xoxo, xoox, oxox, ooxx, oxxo \(6 \times 6 = 36\)
3 xooo, oxoo, ooxo, ooox \(4 \times 4 = 16\)
4 oooo \(1 \times 1 = 1\)
  • This is symmetrical!

A person with no ability

Count Possible combinations Total
0 xxxx \(1 \times 1 = 1\)
1 xxxo, xxox, xoxx, oxxx \(4 \times 4 = 16\)
2 xxoo, xoxo, xoox, oxox, ooxx, oxxo \(6 \times 6 = 36\)
3 xooo, oxoo, ooxo, ooox \(4 \times 4 = 16\)
4 oooo \(1 \times 1 = 1\)

A person with no ability

Count Possible combinations Total
0 xxxx \(1 \times 1 = 1\)
1 xxxo, xxox, xoxx, oxxx \(4 \times 4 = 16\)
2 xxoo, xoxo, xoox, oxox, ooxx, oxxo \(6 \times 6 = 36\)
3 xooo, oxoo, ooxo, ooox \(4 \times 4 = 16\)
4 oooo \(1 \times 1 = 1\)
  • A person just guessing gets \(6/8\) cups right with probability \(\frac{16}{70} \approx 0.23\)

A person with no ability

Count Possible combinations Total
0 xxxx \(1 \times 1 = 1\)
1 xxxo, xxox, xoxx, oxxx \(4 \times 4 = 16\)
2 xxoo, xoxo, xoox, oxox, ooxx, oxxo \(6 \times 6 = 36\)
3 xooo, oxoo, ooxo, ooox \(4 \times 4 = 16\)
4 oooo \(1 \times 1 = 1\)
  • And at least \(6/8\) cups with \(\frac{16 + 1}{70} \approx 0.24\)

p-values

  • If the lady is not able to discriminate milk-tea order, the chance of observing 6/8 correct guesses or better is 24%

  • We can translate this to general statements about policies or experiments

  • If the null hypothesis of no effect is true…

  • … the p-value is the probability of observing a result equal or more extreme than what is originally observed

  • Smaller p-values give more evidence against the null, which helps us make a case for the policy having an effect

Diagnosing hypothesis tests

  • A convention in the social sciences is to claim that something with \(p < 0.05\) is statistically significant1

  • Committing to a significance level implies accepting that sometimes we will get \(p < 0.05\) by chance

  • This is a false positive result

  • A good answer strategy as a controlled false positive rate (more in the lab!)

Next Two Weeks

Field Experiments

Focus on: Research design alternatives

Break time!

 

Lab