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Chapter 6

Correlation vs. Causation - Winthropfaculty.winthrop.edu/solomonj/FALL 2013/SOCL 516/V2 USE OCTOBE… · 1) The association is strong. 2) The association is consistent. 3) Higher

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Chapter 6

Establishing causation

It appears that lung cancer is associated with smoking.

How do we know that both of these variables are not being affected by an unobserved third (lurking) variable?

For instance, what if there is a genetic predisposition that causes people to both get lung cancer and become addicted to smoking, but the smoking itself doesn’t CAUSE lung cancer?

1) The association is strong.2) The association is consistent.3) Higher doses are associated with

stronger responses.4) Alleged cause precedes the effect.5) The alleged cause is plausible.

THERE IS NO SUBSTITUTE FOR AN EXPERIMENT!!!

We can evaluate the association using the following criteria:

64% of American’s answered “Yes” .38% replied “No”. The other 8% were undecided.

Cause: An explanation for some characteristic, attitude, or behavior of groups, individuals, or other entities

Causal effect: The finding that change in one variable leads to change in another variable, other things being equal.

3 required 1. Association: Empirical (observed) correlation

between the independent and dependent variables (they must vary together)

2. Time Order: Independent variable comes before the dependent variable

3. Nonspuriousness: Relationship between independent and dependent variable must not be due to third variable

These two strengthen the causal argument

4. Mechanism: The process that creates a connection between the variation in an independent variable and the variation in the dependent variable

5. Context: Focus of idiographic causal explanation; a scientific explanation that includes a sequence of events that lead to a particular outcome for a specific individual• Can not be used to explain general ideas, places,

events, or populations

Correlation tells us two variables are related

Types of relationship reflected in correlation:

X causes Y or Y causes X (causal relationship)

X and Y are caused by a third variable Z(spurious relationship)

7

‘‘The correlation between workers’ education levels and wages is strongly positive”

Does this mean education “causes” higher wages?

We don’t know for sure !

Correlation tells us two variables are related BUT does not tell us why

8

Possibility 1Education improves skills & skilled workers get better paying jobsEducation causes wages to

Possibility 2Individuals are born with quality A, which is relevant for success in education and on the jobQuality A (NOT education) causes wages to

9

Kids’ TV Habits Tied to Lower IQ Scores

IQ scores and TV timer = -.54

Eating Pizza ‘Cuts Cancer Risk’

Pizza consumption and cancer rater = .-59

Reading Fights Cavities

Number of cavities in elementary school children & their vocabulary size

r = -.67

Stop Global Warming: Become a Pirate

Average global temperature and number of pirates

r = -.93

A strong relationship between two variables does not always mean that changes in one variable causes changes in the other.

The relationship between two variables is often influenced by other variables which are lurking in the background.

There are two relationships which can be mistaken for causation:

1. Common response2. Confounding

Common response• Possibility that a change in a lurking

variable is causing changes in both explanatory variable and response variable

Confounding• Possibility that either the change in

explanatory variable is causing changes in the response variable

OR• That change in a lurking variable is causing

changes in the response variable.

Both X and Y respond to changes in some unobserved variable, Z.

The effect of X on Y is indistinguishable from the effects of other explanatory variables on Y.

Example of confounding:The “placebo effect”

When controlled experiments are performed.

When can we imply causation?

Asch Experimenthttps://www.youtube.com/watch?v=F17JGDZDVUs

Strongest for demonstrating causality

Quasi-experimental designs

Problems of validity associated

Most powerful design for testing causal hypotheses

Experiments establish:AssociationTime orderNon-spuriousness

Two comparison groups to establish associationExperimental Group:

Group of subjects that receives treatment or experimental manipulation

Control group: Comparison group that receives no treatment

Variation must be collected before assessment to establish time order

Post-test: Measurement of the DV in both groups after the experimental group has received treatment

Pre-test: Measurement of the DV prior to experimental intervention

True experiment doesn’t need a pre-testRandom assignment assumes groups will initially be similar

Random assignment (randomization):Of subjects into experimental and control groups

Establishes non-spuriousnessNot same as random samplingRandomization has no effect on generalizability

Assignment of subject pairs into experimental and control groups

Based on similarity (e.g., gender, age)

Individuals (in pairs) randomly assigned to each group

Can only be done on a few characteristics

May not distribute characteristics between the two groups

Establish time order & associationMay be better at establishing contextCannot establish non-spuriousness

Comparison groups not randomly assignedIndividuals must be able to choose whether to be in experimental or control groups

Confidence that can be placed in cause and effect relationship in a study

The key question in any experiment is:

“Could there be an alternative cause, or causes, that explain my observations and results?”

Generalization:Whether results from a small sample group, in a laboratory, can be extended to make predictions about the entire population

Threats to validity in experiments

True experiments have high internal but low external validity

Quasi-experiments have higher external but lower internal validity

Experimental and Control groups are not comparable

Selection bias: subjects in experimental and control groups are initially different

Mortality/Differential attrition: groups become different because subjects are more likely to drop out of one of the groups for some reason

Instrument decay: Measurement instrument wears out or researchers get tired or bored, producing different results for cases later in the research than earlier

Natural developments in subjects, independent of experimental treatment, account for some or all of change between pre- and post-test scores Generally, eliminated by use of a control group because changes will be the same for both groups.

Testing: Pre-test can influence post-test scores

Maturation: Changes may be caused by the aging of subjects

Regression to the mean: When subjects are selected based on extreme scores, on future testing they tend to regress back to the average

Things that happen outside the experiment that may change subjects’ scores

Control and experimental groups affect one another

Demoralization:

The control group may feel left out and perform worse than expected

Compensatory Rivalry (The John Henry Effect):

When groups know they’re being compared, They may increase their efforts to be more competitive

Subjects experience an unintended treatment during the experiment.

To compensate, measures are taken throughout the experiment to assess whether the treatment is being delivered as planned.

Expectancies of Experimental Staff:Staff actions and attitudes change the behavior of subjects (i.e., a self-fulfilling prophecy)

Resolved by double-blind designsNeither the subject nor the staff knows who’s getting the treatment and who’s not

Placebo Effect: Subjects change because of expectations of change, not because of treatment itself

Hawthorne Effect: Participation in study may change behavior simply because subjects feel special for being in the study

The more artificial the experimental arrangements

The greater the problem of sample generalizability

Subjects are not randomly drawn from the population

Field experiments: Conduct experiments in natural settings Increases ability to generalize. Random assignment is critical