Jump to content
Toggle search
Toggle menu
75
257
179
8.5K
Sense & Sensibility & Science
Toggle preferences menu
Toggle personal menu
Not logged in
Your IP address will be publicly visible if you make any edits.

6.2 Hill's Criteria: Difference between revisions

From Sense & Sensibility & Science
More actions
← Older editNewer edit →
Line 15: Line 15:
{{ContextRelation|When coming up with alternative explanations to an apparent correlation between two variables, it helps to consider factors that contribute to systematic and statistical uncertainties.}}
{{ContextRelation|When coming up with alternative explanations to an apparent correlation between two variables, it helps to consider factors that contribute to systematic and statistical uncertainties.}}
{{ContextLesson|3.1 Probabilistic Reasoning}}
{{ContextLesson|3.1 Probabilistic Reasoning}}
{{ContextRelation|In the upcoming lesson on Probabilistic Reasoning, students will explore how to use quantified credence (i.e., confidence) levels to track and communicate their certainty about claims and predictions. For example, a .50 credence level indicates a 50-50 chance the claim is false or true, whereas a 1.00 credence level indicates complete certainty. Because it is difficult to impossible to conclusively infer causation without an RCT, Hill's criteria are typically used to infer causation with varying degrees of confidence, such that each additional piece of evidence (especially of new types) increases the confidence that the causal claim is true.}}
{{ContextRelation|A credence level is always associated with any scientific claim of causation. As each Hill's criterion adds to a case for causation, so our credence level for a causal relation increases. However, unlike in the case of RCTs, it may be difficult to quantify.}}
{{ContextLesson|6.1 Correlation and Causation}}
{{ContextLesson|6.1 Correlation and Causation}}
{{ContextRelation|RCTs are introduced as ideal experiments. These are often not possible due to resource or ethical considerations, and we must resort to Hill's criteria to examine the plausibility of a causation. Causation is defined as correlation under manipulation. When manual manipulation is not possible, Hill's criteria can still help establish causation.}}
{{ContextRelation|RCTs are introduced as ideal experiments for establishing causal relationships. These are often not possible due to resource or ethical considerations, and we must resort to Hill's criteria to examine the plausibility of causation. Causation is defined as correlation under intervention. When manual intervention is not possible, Hill's criteria can still build a strong case for causation.}}
}}
}}
<!-- Expandable section relating this lesson to later lessons. -->
<!-- Expandable section relating this lesson to later lessons. -->
{{Expand|Relation to Later Lessons|
{{Expand|Relation to Later Lessons|
{{ContextLesson|11.2 When Is Science Suspect}}
{{ContextLesson|11.2 When Is Science Suspect}}
{{ContextRelation|In this upcoming lesson, students will explore how science has sometimes been used to justify the oppression of certain human groups, e.g. by inferring from current differences in achievement that there are fundamental differences in capacity, when in fact these differences in achievement can be fully explained by differences in opportunity. Because it is impossible to randomly assign individuals to human groups such as "African-Americans" or "women," all of this science is observational, and subject to the limitations of observational research. In evaluating non-RCT evidence, it is important to remember these limitations of observational as opposed to experimental research, especially when data may be used to exacerbate existing injustices.}}
{{ContextRelation|Students will explore how science has sometimes been used to justify the oppression of certain human groups. For example, current differences in achievement between human subgroups have been used to infer fundamental differences in biological or cognitive capacity, when in fact they may be sufficiently explained by differences in opportunity. These socially problematic causal inferences stem in part from the impossibility of an RCT that intervenes on genetics while keeping social opportunities equal between subgroups. It is important to recognise potential social implications when evaluating non-RCT evidence for causation, such as when drawing conclusions from observational studies alone.}}
}}
}}


Revision as of 07:45, 2 August 2023

Building on Correlation and Causation, we examine how to collect evidence for causality in more difficult cases.



The Lesson in Context

This is a discussion-based lesson that familiarizes students with the concept of Hill's criteria, which are used when an ideal experiment (e.g. RCT) could not be done due to resource or ethical considerations. The criteria themselves are not difficult, but students typically have trouble associating their names with their meanings, and they would benefit from a diverse range of illustrative examples.

2.2 Systematic and Statistical Uncertainty
  • When coming up with alternative explanations to an apparent correlation between two variables, it helps to consider factors that contribute to systematic and statistical uncertainties.
3.1 Probabilistic Reasoning
  • A credence level is always associated with any scientific claim of causation. As each Hill's criterion adds to a case for causation, so our credence level for a causal relation increases. However, unlike in the case of RCTs, it may be difficult to quantify.
6.1 Correlation and Causation
  • RCTs are introduced as ideal experiments for establishing causal relationships. These are often not possible due to resource or ethical considerations, and we must resort to Hill's criteria to examine the plausibility of causation. Causation is defined as correlation under intervention. When manual intervention is not possible, Hill's criteria can still build a strong case for causation.
11.2 When Is Science Suspect
  • Students will explore how science has sometimes been used to justify the oppression of certain human groups. For example, current differences in achievement between human subgroups have been used to infer fundamental differences in biological or cognitive capacity, when in fact they may be sufficiently explained by differences in opportunity. These socially problematic causal inferences stem in part from the impossibility of an RCT that intervenes on genetics while keeping social opportunities equal between subgroups. It is important to recognise potential social implications when evaluating non-RCT evidence for causation, such as when drawing conclusions from observational studies alone.


Useful Links

Readings and Assignments

Lecture Video

Learning Goals

After this lesson, students should

  1. Identify cases in which "ideal" RCT experiments are not possible, due to ethical or practical constraints.
  2. For a given scenario in which a causal hypothesis/claim is being made, identify plausible alternative hypotheses that could be consistent with the data.
  3. Identify additional sources of evidence that could be used to help mitigate flawed experiments, including prior plausibility, dose-response relationships, specificity, temporal ordering, and consistency across contexts.
  4. Recognize when causal evidence in the absence of an RCT can be fairly compelling, especially if there are many different types of evidence combined.

Definitions

Hill's criteria:

  • Prior plausibility
    Can a plausible mechanism be constructed, or is there some other basis for interpreting the current evidence in terms of one causal structure over another, such as data from other studies?
  • Temporality/Temporal Sequence
    Did the hypothesized cause precede the effect?
  • Specificity
    Specific predictions for specific consequences that have come true are less likely to be caused by other factors.
  • Dose-response Curve
    Do the quantities of the hypothesized cause correlate with the quantity, severity, or frequency of the hypothesized effect across ranges?
  • Consistency Across Contexts
    Does the correlation appear across diverse contexts?
It is not necessary for all of Hill's criteria to be satisfied to infer causation. Each criterion adds to the case for causation. Some criteria are not applicable in certain situations (e.g. dose-response curve in whether light switches cause the light to turn on and off).

Examples

  • Scrotal cancer in chimney sweeps, example by John.

  • The causal connection between leaded gasoline across the world and violent crimes in many countries. (See video above, 17:57.)
    • Prior Plausibility: High levels of lead are known to cause cognitive damage. It is conceivable that extended exposure to lower levels of lead could have similar effects.
    • Temporality: In the graph shown in the video, the levels of violent crime correlate with the use of leaded gasoline, but delayed by about 20 years.
    • Specificity: Within the same demographic group, delinquents are 4 times more likely to have elevated bone lead concentrations than non-delinquents.
    • Dose-response Curve: See temporality.
    • Consistency Across Contexts: The delayed rise in violent crime after increased use of leaded gasoline is observed in many industrialized countries.

Common Misconceptions

  • Since we can't run a randomized controlled trial on whether CO2 emissions cause global warming, we can't ever know whether it does.
    A non-RCT study can still be serve as potentially weaker, but sometimes just as strong, evidence for causation.
  • Students are quick to notice small sample size, slower to notice problems with experimental design.
  • Students struggle to generate non-RCT types of evidence for causality, although they are better at recognizing it.
  • Identifying natural experiments is also difficult, probably because many students find the principles of RCTs slippery.

Context

Recommended Outline

Before Class

  • Review PlayPosit and discussion questions and ask faculty, Gabriel, or Emlen any questions you have.

During Class

5 Minutes Come up with some fun way to assign the roles of spokesperson and notetaker (e.g. earliest birthday in the year, lives furthest from campus). Remind them of the responsibilities of these roles.
15 Minutes First set of discussion questions: Concept review.
25 Minutes #Paper Analysis (Part 2): #Vietnam War Draft Lottery and #Sunset Time and Social Jetlag
15 Minutes Further discussions: How to apply Hill's criteria to the social jetlag study.
15 Minutes Go over the COVID-19 example.
5 Minutes Answer any lingering questions. These activities have a tendency to go long, so some extra wiggle room is left at the end.

Lesson Content

Concept Review

  1. (5 min) Review: What are the three essential elements of a Randomized Controlled Trial?
    1. Random Assignment
    2. Control Group/Condition
    3. Trial/Experimental Intervention
    Note that random sampling is not essential to the validity of an RCT. It merely affects the generalizability of the results of the RCT.
  • (10 min) For both of the following hypotheses, what RCT would you use to test it? Why would it be challenging to perform?
    1. For a child, does spending more than 22 hours in their home per day over their childhood increase their risk of developing myopia?
      It is not hard to imagine an ideal RCT for this, but it is unethical/impractical to perform the intervention.
    2. On the level of individual towns, does implementing universal basic income reduce the rate of violent crimes in 10 years? In 150 years?
      It is conceivable to do an RCT over 10 years, albeit expensive. However, it is hard to do this experiment on a large enough sample. It is also much less practical to track such an experiment over 150 years. It is difficult to randomise the towns.

    • Paper Analysis (Part 2)

    (25 min)

    This is a continuation of last lesson's paper analysis, in which we looked at a classic example of a proper RCT. Here, we will look at two more papers in which an RCT is difficult to conduct, but a strong case can still be made about causation based on experimental results.

    Strictly speaking, the experiments in the following two papers are not RCTs, since the experimenter never performed any intervention. However, their causal conclusions are nearly as strong as an RCT. Hill's criteria, on the other hand, are useful when even this kind of experiment is impossible to do. We will go through an example of Hill's criteria in #Covid-19 below.

    For each of the two papers, students should try to answer the following.

    1. What causal relationship is this paper trying to study? What is the hypothesis?
    2. What, if it exists at all, is the experimental intervention? (i.e., What is the independent variable that is being manipulated)?
    3. What is the dependent variable that is being measured (i.e., the variable the researchers anticipate may be affected by the experimental intervention)?
    4. How is the independent variable manipulated? Are there control and intervention groups? Are those randomly assigned? Is the control condition a good one (only the independent variable is different, with all else kept equal)? Is this an RCT?
    5. What is the result of the experiment?
    6. Can the causal relationship in question 1 be concluded from the experimental results? If not, what, if anything, can be concluded? How confident are you in this conclusion?
    7. Can you think of an alternative explanation for the data?

    Vietnam War Draft Lottery

    Example of natural experiment, where the intervention and assignment are not performed by the experimenter but by environmental factors: Lifetime Earnings and the Vietnam Era Draft Lottery

    1. Does being drafted to serve in the military cause one's income to change later in life?
    2. Whether one has served in the military (veteran status).
    3. One's lifetime income.
    4. The veteran status is manipulated by the Vietnam War draft lottery, which randomly selected young men to serve in the military. The control group consists of young men who were not drafted by the lottery. This seems like a good control, as the selection is supposedly not based on any factor that may introduce systematic bias to one's future income. There are other factors that allow people to get out of the draft. This paper attempts to account for this. This is a natural experiment.
      @Gabriel write this more carefully.
    5. Veterans earn 15% less than non-veterans long after the draft and the war ended.
    6. Being drafted to serve in the military causes a long term reduction in one's income.
    7. Well-connected or wealthier young men may have had an easier time getting out of the draft, which is a possible confound. Unknown confounds are more likely in a natural experiment, where the differences between experimental group and control group are not as tightly controlled as in a deliberately created RCT.

    Upshot: This is a natural experiment. All the aspects of an RCT are still satisfied, but the randomized selection and intervention process is not performed by the experimenter but by an external agent/natural process.

    Sunset Time and Social Jetlag

    Not technically an RCT but could be argued to have comparable strength: Sunset Time and the Economic Effects of Social Jetlag

    1. Does an extra hour of natural light in the evening (according to local time) cause a change in one's sleep duration?
    2. The time of sunset in one's local time zone.
    3. Sleep duration.
    4. People who live on either side of a time zone boundary are considered, since they live geographically close to each other but have a 1-hour difference in sunset time. We may treat those on the east side of a boundary to be the intervention group and those on the west side to be the control group. The people are certainly not randomly assigned to one group or the other, but it is presumed that there are no systematic differences in the populations on either side that would cause a big difference in sleep patterns, other than the time zones. This is not an RCT, but its strength in implying causal relationship may be argued to be comparable to that of an RCT.
    5. Those living in a time zone with one extra hour of daylight in the evening (an earlier sunset time) sleep 19 minutes less on average.
    6. Living in a time zone with one extra hour of daylight in the evening causes a 19-minute reduction in average sleep duration.
    7. This is a pretty convincing study, what with the huge representative Census sample and the arbitrary cutoff. However, it's possible that some existing geographic power/wealth differential enabled people one one side of the time zone split to set it at their advantage (e.g. people in cities), leaving the less powerful/wealthy on the darker side (e.g. people in more rural areas). If this occurred, the difference in sleep and health could be due to the pre-existing power or wealth differential, not the time zone.

    Discussion Questions

    In your small group, explain Hill's criteria using aspects of the Sunset Time and Social Jetlag study as examples.

    • Hill's criteria is essentially a list of criteria that can add to the case of determining causality, when you can only observe correlation. The criteria are used when RCT's can't be performed. See definitions above.
    • Prior plausibility: The presence of sunlight and one's daily schedule are well known to affect sleep patterns. If the work schedule is shifted by one hour due to time zone, it should affect sleep patterns as well.
    • Temporality/temporal sequence: People have lived on one side of the time zone border before they developed this sleep pattern.
    • Specificity: The observed effect in sleep times is drastic across the time zone borders, and this effect is not observed elsewhere. This effect was also only observed in people that had to get up early for work.
    • Dose-response curve: The further away one lives from a time zone border (more accurate their sunset/work time is to the natural circadian rhythm), the less pronounced the effect on sleep times becomes. The effect is also absent among unemployed people. (Fig. 6)
    • Consistency across contexts: The effect on sleep times is observed across many different time zone borders scattered throughout the US.

    Covid-19

    (15 min)

    There has been a lot of controversy regarding mask wearing policies to combat the spread of COVID-19. Suppose it were very difficult to conduct a randomized controlled trial to study the effect of community mask wearing on COVID spread. (Such RCTs have in fact been conducted; see this paper.) However, we'd still like to find out whether there is such a causal connection using Hill's criteria.

    Work in small groups. For each of the Hill's criteria, what evidence, if observed, would support that criterion?

    1. Plausible mechanism
      Masks physically blocks one's mouth from emitting/receiving virus-ridden aerosols.
    2. Temporal sequence
      Do COVID cases reduce after a mask mandate has been instituted in an area/business/school?
    3. Consistency across contexts
      Is this reduction in cases after a mask mandate observed in many countries/areas/businesses/schools?
    4. Dose-response curve
      Does the extent of decrease in COVID cases correlate with the percentage of mask wearers in an area?
    5. Specificity
      Is it the case that counties/businesses/schools that implemented a mask mandate have a dramatically reduced case rate compared to those that did not?


    ⟨

    Previous

    6.1 Correlation and Causation

    ⟩

    Next

    7.1 Causation, Blame, and Policy

    Retrieved from "https://sensibility.gpe.fyi/index.php?title=6.2_Hill%27s_Criteria&oldid=5448"