Differences between revisions 7 and 8
Revision 7 as of 2025-01-10 16:07:01
Size: 2025
Comment: Killing SurveyStatistics page
Revision 8 as of 2025-10-15 16:34:56
Size: 1848
Comment: Rewrite
Deletions are marked like this. Additions are marked like this.
Line 11: Line 11:
== Causation == == Description ==
Line 13: Line 13:
To study the impact of some '''treatment variable''' on an '''outcome variable''', all other variables must be held constant. If a relationship can be observed ''ceteris paribus'', then causation has been identified. To study the impact of a '''treatment''' on an '''outcome''', all other variables must be held constant. If a relationship can be observed ''ceteris paribus'', then '''causation''' has been identified.
Line 19: Line 19:
== Experimental Design == == Natural Experiments ==
Line 21: Line 21:
A true causal experiment involves the application of a treatment. By comparing outcomes between an experimental group and an identical control group, causation can be observed and measured. A '''natural experiment''' or '''true causal experiment''' involves random assignment of a treatment such that the treatment and control groups are identical. Methods for causal inference are then applied.
Line 23: Line 23:


=== In Social Science ===

The unit of measurement in social science is almost always ''people''. It isn't possible to source ''identical'' people for application of a treatment. As a result, true causal experiments are impossible in social sciences.

Instead, '''statistical inference''' is applied. A tolerance for Type I error ''(false negatives)'' is set as a '''critical value'''. Experimental data is measured and, if the [[Statistics/TestStatistic|test statistic]] is greater than the critical value, the null hypothesis can be rejected.



=== Given Ethics ===

There are non-negligible ethical barriers to conducting many experiments when the unit of measurement is people. This is mitigated only prohibitively, i.e. by use of '''Institutional Review Boards''' ('''IRBs'''). In other words, the body of causal experiments is limited by what is IRB approve-able.
The unit of measurement in social science is almost always ''people''. It isn't possible to form groups of ''identical people''. As a result, causal inference is generally inapplicable. Instead, methods for '''statistical inference''' are applied. A tolerance for Type I error ''(false negatives)'' is set as a '''critical value'''. Experimental data is measured and, if the [[Statistics/TestStatistic|test statistic]] is greater than the critical value, the null hypothesis can be rejected.
Line 41: Line 29:
== Observational Study == == Quasi-Experiments ==
Line 43: Line 31:
Observational studies allow subjects to make decisions regarding the application of a 'treatment'. This absolves most ethical concerns, especially in social science. A '''quasi-experiment''' is distinguished by the assignment of treatment. When the assignment was not completely random, but differences are expected to be controllable, quasi-experimental methods are applied.
Line 45: Line 33:
But it is no longer necessarily true that the experimental and control groups are random and comparable. There are multiple non-redundant '''confounders''' which are related to the treatment and/or the outcome. These must be controlled for. ----



== Observational Studies ==

An '''observational study''' does not feature any real assignment to treatment. Instead, subjects self-assign a 'treatment' through their own decisions and behavior.

There is no reason to expect treatment and control groups to be identical. There are non-redundant '''confounders''' which are related to the treatment and/or the outcome that must be controlled for.

Causal Inference

Causal inference is an experimental design used to isolate causation and then make use of predictive statistics.


Description

To study the impact of a treatment on an outcome, all other variables must be held constant. If a relationship can be observed ceteris paribus, then causation has been identified.


Natural Experiments

A natural experiment or true causal experiment involves random assignment of a treatment such that the treatment and control groups are identical. Methods for causal inference are then applied.

The unit of measurement in social science is almost always people. It isn't possible to form groups of identical people. As a result, causal inference is generally inapplicable. Instead, methods for statistical inference are applied. A tolerance for Type I error (false negatives) is set as a critical value. Experimental data is measured and, if the test statistic is greater than the critical value, the null hypothesis can be rejected.


Quasi-Experiments

A quasi-experiment is distinguished by the assignment of treatment. When the assignment was not completely random, but differences are expected to be controllable, quasi-experimental methods are applied.


Observational Studies

An observational study does not feature any real assignment to treatment. Instead, subjects self-assign a 'treatment' through their own decisions and behavior.

There is no reason to expect treatment and control groups to be identical. There are non-redundant confounders which are related to the treatment and/or the outcome that must be controlled for.


CategoryRicottone

Statistics/CausalInference (last edited 2025-10-15 16:34:56 by DominicRicottone)