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bib and knitr::opts_chunk$set(fig.retina = 2.5)
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Solomon Kurz authored and Solomon Kurz committed Oct 26, 2020
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4 changes: 4 additions & 0 deletions README.Rmd
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link-citations: yes
---

```{r, echo = F, cache = F}
knitr::opts_chunk$set(fig.retina = 2.5)
```

# The ecologocal fallacy: Thorndike's (1939) example

The ecological fallacy occurs when results from group-level analyses are wrongly extended to individuals. The fallacy is often attributed to William S. Robinson's [-@robinsonEcologicalCorrelations1950] paper, [*Ecological correlations and the behavior of individuals*](https://www.jstor.org/stable/2087176?origin=crossref&seq=1#page_scan_tab_contents), and the name itself first appeared in sociologist Hanan C. Selvin's [-@selvinDurkheimSuicideProblems1958] paper, [*Durkheim's suicide and problems of empirical research*](https://s3.amazonaws.com/academia.edu.documents/33024288/Durkheim-suicide_empirical-research-problems.pdf?response-content-disposition=inline%3B%20filename%3DDurkheims_Suicide_and_Problems_of_Empiri.pdf&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAIWOWYYGZ2Y53UL3A%2F20191014%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20191014T151247Z&X-Amz-Expires=3600&X-Amz-SignedHeaders=host&X-Amz-Signature=4e9eeb342fa0332cd0f7ed00a4769661cb7c6921e07dd19a763595f037d35dae). However, my fellow psychologists might be happy to learn the idea goes back at least as far as E. L. Thorndike's [-@thorndikeFallacyImputingCorrelations1939] paper, [*On the fallacy of imputing the correlations found for groups to the individuals or smaller groups composing them*](https://www.jstor.org/stable/1416673?seq=1#page_scan_tab_contents). The purpose of this project is to walk out Thorndike's original examples.
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10 changes: 5 additions & 5 deletions README.md
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Expand Up @@ -527,7 +527,7 @@ t13 %>%
facet_wrap(~table, ncol = 2, labeller = label_both)
```

![](README_files/figure-markdown_github/unnamed-chunk-3-1.png)
<img src="README_files/figure-markdown_github/unnamed-chunk-4-1.png" width="768" />

Thorndike asserted that “within each of the districts the correlation
between A and B is zero” (p. 124). Let’s check.
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theme(panel.grid = element_blank())
```

![](README_files/figure-markdown_github/unnamed-chunk-5-1.png)
<img src="README_files/figure-markdown_github/unnamed-chunk-6-1.png" width="576" />

This corresponds to Thorndike’s Table XIII. If you look closely at his
original, you’ll see he miscounted a few cells. No worry–the overall
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theme(panel.grid = element_blank())
```

![](README_files/figure-markdown_github/unnamed-chunk-7-1.png)
<img src="README_files/figure-markdown_github/unnamed-chunk-8-1.png" width="576" />

That plot corresponds directly to Thorndike’s Table XIV. Here’s the
correlation.
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individuals. *American Sociological Review*, *15*(3).
<https://doi.org/10.2307/2087176>

Selvin, H. C. (1958). Durkheim’s Suicide and Problems of Empirical
Research. *American Journal of Sociology*, *63*(6), 607–619.
Selvin, H. C. (1958). Durkheim’s suicide and problems of empirical
research. *American Journal of Sociology*, *63*(6), 607–619.
<https://doi.org/10.1086/222356>

Thorndike, E. L. (1939). On the fallacy of imputing the correlations
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2 changes: 1 addition & 1 deletion bib.bib
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Expand Up @@ -60,7 +60,7 @@ @article{robinsonEcologicalCorrelations1950
}

@article{selvinDurkheimSuicideProblems1958,
title = {Durkheim's {{Suicide}} and {{Problems}} of {{Empirical Research}}},
title = {Durkheim's Suicide and Problems of Empirical Research},
author = {Selvin, Hanan C.},
year = {1958},
month = may,
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