Communitarian Statistics
We use a highly applied and intuitive approach to statistics based on the communitarian principle that statistics are not a domain of the elite that should be used to intimidate readers or laypeople; rather, statistical thinking is essential to competent evaluation of many questions in everyday life. Statistical thinking can be taught, and even people who have never had a statistics course can learn basic principles that will help them with everything from evaluating media reports on health products to making decisions on love and marriage.
For example, we all can intuitively understand that the answer to the question, “Are men taller than women?” is one that must simultaneously incorporate the general response (“Yes”) with the nuance that there are many exceptions. Nonetheless, when confronted with questions of men’s and women’s roles in society, we tend not to apply this nuanced understanding, opting instead for black-or-white answers such as “women are built for childrearing and should stay home and take care of the kids” on the one hand, or “any differences in men’s and women’s roles in childrearing are purely cultural” on the other. A statistical understanding of such questions does not tell us what to do as a society, but it helps us avoid making simplifications that could lead to bad decisions.
For this reason, a major goal of the lab is to foster statistical literacy (numeracy?) as a skill that can be acquired based largely on logic, common sense, familiarity with relevant examples, and practice – without any need for math. We are thus great fans of Randall Monroe, who writes the webcomic XKCD. His particular genius is to apply common errors in statistical reasoning to everyday examples in which their absurdity becomes evident, leaving it to the reader to extrapolate back how equally absurd such errors are in the scientific contexts where they often go unnoticed. Some favourites:
On the absurdity of assuming that correlation tells us nothing about causality
![A: Another huge study found no evidence that cell hone cause cancer. What was the WHO thinking? B: I think they just got it backward A: Huh? B: Well, take a look. Graph shows cancer and cell phone use increasing over time. A: You’re not… there are so man](https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_200/public/media/general/2024-03/cell_phonesl_0.png?itok=1sOvMyKJ 200w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_260/public/media/general/2024-03/cell_phonesl_0.png?itok=RyDibJ30 260w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_320/public/media/general/2024-03/cell_phonesl_0.png?itok=RrwzdiHy 320w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_400/public/media/general/2024-03/cell_phonesl_0.png?itok=vlaRTP3x 400w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_520/public/media/general/2024-03/cell_phonesl_0.png?itok=HXNebZNy 520w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_640/public/media/general/2024-03/cell_phonesl_0.png?itok=FY5UUOj4 640w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_800/public/media/general/2024-03/cell_phonesl_0.png?itok=R49IO3yi 800w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1040/public/media/general/2024-03/cell_phonesl_0.png?itok=mrsdw6ou 1040w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1280/public/media/general/2024-03/cell_phonesl_0.png?itok=I8j-MIks 1280w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1600/public/media/general/2024-03/cell_phonesl_0.png?itok=KkQPEemx 1600w)
On cognitive biases that prevent us from understanding the role of chance in the world (see further: Daniel Kahneman)
![A: It is brutal out. So much for global warming, huh? B: This used to happen all the time. B: It used to get below 0 a handful of days per year. Then, in 2014, it dipped below zero for 2 days. Everyone freaked out. What was normal now feels too cold.](https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_200/public/media/general/2024-03/cold.png?itok=Oi_5dQeH 200w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_260/public/media/general/2024-03/cold.png?itok=wnWzB48n 260w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_320/public/media/general/2024-03/cold.png?itok=ecLHWAl9 320w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_400/public/media/general/2024-03/cold.png?itok=9-7r2hHd 400w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_520/public/media/general/2024-03/cold.png?itok=A7qXvVPp 520w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1600/public/media/general/2024-03/cold.png?itok=VUKWdKd3 537w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_640/public/media/general/2024-03/cold.png?itok=wN1tIfOL 640w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_800/public/media/general/2024-03/cold.png?itok=gxnq_hnY 800w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1040/public/media/general/2024-03/cold.png?itok=QTNK5awQ 1040w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1280/public/media/general/2024-03/cold.png?itok=TxWnwZyF 1280w)
On the absurdity of linear extrapolations, such as that less LDL is always better
![Comic title: My hobby: extrapolating. Chart showing number husbands increases with time. Person 1 says to person 2, “As you can see, by late next month you’ll have over 4 dozen husbands. Better get a bulk rate on wedding cake.”](https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_200/public/media/general/2024-03/extrapolating.png?itok=dWik4lz0 200w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_260/public/media/general/2024-03/extrapolating.png?itok=EOwu9bWl 260w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_320/public/media/general/2024-03/extrapolating.png?itok=2fEEP_9o 320w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_400/public/media/general/2024-03/extrapolating.png?itok=GqYdYRSV 400w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1600/public/media/general/2024-03/extrapolating.png?itok=MxeZBDHh 461w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_520/public/media/general/2024-03/extrapolating.png?itok=8D2NrCpl 520w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_640/public/media/general/2024-03/extrapolating.png?itok=RODG1NKM 640w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_800/public/media/general/2024-03/extrapolating.png?itok=UOudmEas 800w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1040/public/media/general/2024-03/extrapolating.png?itok=HsQaL9uK 1040w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1280/public/media/general/2024-03/extrapolating.png?itok=yj3NrjoU 1280w)
On the difference between relative and absolute risk
![3 people talking. B: Statistically, taking 3 beach trips instead of 2 increases our odds of getting shot by a swimming dog by 50%. Comic title says Reminder: A 50% increase in a tiny risk is still tiny.](https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_200/public/media/general/2024-03/increased_risk.png?itok=dxhs01FN 200w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_260/public/media/general/2024-03/increased_risk.png?itok=KzTTW0-V 260w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1600/public/media/general/2024-03/increased_risk.png?itok=hlZVCRau 317w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_320/public/media/general/2024-03/increased_risk.png?itok=7bKm9OKP 320w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_400/public/media/general/2024-03/increased_risk.png?itok=79Wjbbr4 400w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_520/public/media/general/2024-03/increased_risk.png?itok=r34lyjn0 520w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_640/public/media/general/2024-03/increased_risk.png?itok=S5j_xURA 640w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_800/public/media/general/2024-03/increased_risk.png?itok=h4TKnS28 800w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1040/public/media/general/2024-03/increased_risk.png?itok=go6DqF9U 1040w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1280/public/media/general/2024-03/increased_risk.png?itok=7_BnIEPH 1280w)
On forgetting to account for multiple testing when interpreting results (and on publication bias and sensational media coverage of science)
![2 people reading a report that green jelly beans are linked to acne with 95% confidence. The authors also report no link between purple, brown, pink, blue, teal, salmon, red, turquoise, magenta, yellow, grey, tan, cyan, green, mauve, or beige jelly beans.](https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_200/public/media/general/2024-03/significant.png?itok=Q5DqVlCg 200w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_260/public/media/general/2024-03/significant.png?itok=ea5gsVr7 260w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_320/public/media/general/2024-03/significant.png?itok=ZdQngxPQ 320w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_400/public/media/general/2024-03/significant.png?itok=pRnsIfrh 400w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1600/public/media/general/2024-03/significant.png?itok=LVgMv2vg 454w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_520/public/media/general/2024-03/significant.png?itok=MBkzG-tH 520w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_640/public/media/general/2024-03/significant.png?itok=6pknWMdT 640w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_800/public/media/general/2024-03/significant.png?itok=FiI90uNJ 800w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1040/public/media/general/2024-03/significant.png?itok=A5GUHxQV 1040w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1280/public/media/general/2024-03/significant.png?itok=EI1BvQQM 1280w)
On the absurdity of ignoring prior knowledge when interpreting results of statistical tests
![This detector measures whether the sun has gone nova. Then it rolls 2 dice. If they both come up 6, it lies to us. Detector, has the sun gone nova? Detector: Yes. Frequentist: Since p<0.05, I conclude that the sun exploded. Bayesian: Bet you $5 it hasn't](https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_200/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=ZzoNj_T8 200w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_260/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=umWvIOl2 260w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_320/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=BRF7d2Bq 320w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_400/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=xwMznxoV 400w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1600/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=5sOAtqvC 468w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_520/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=yDjGzIRL 520w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_640/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=2eyBaAdR 640w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_800/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=AtcsXEqg 800w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1040/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=w_1tUl1I 1040w, https://www.publichealth.columbia.edu/sites/default/files/styles/cola_media_1280/public/media/general/2024-03/frequentists_vs_bayesians.png?itok=UtEWsfDZ 1280w)