Saturday, August 3, 2019

Correlation is not causation. STILL!

From The Other Crisis in Psychology by April L. Bleske-Rechek.

The first crisis is, of course, the replication crisis. Probably no field has had quite such an abundance of claimed findings which then failed to replicate.

Bleske-Rechek is, instead, focusing on the age-old issue that correlation is not causation. Beyond just a cliche, but seemingly never accepted in the cognitive bone. A nice articulation of the three conditions which need to be met in order to presume that there is a causal relationship between two variables which happen to be correlated.
Of the criteria for documenting that one variable causes a change in another variable, correlation is just the first of three.

That is, the first criterion for documenting that one variable causes a change in another variable is evidence that the two variables covary together: as one goes up, the other tends to, too (a positive correlation; for example, students who score high on the SAT tend to also have a higher GPA in college),1 or as one variable goes up, the other tends to go down (a negative correlation; for example, people who have a stronger interest in working with people vs. things are less likely to major in inorganic disciplines such as computer science and physics).

The second criterion is that of temporal precedence: the presumed cause must come before the presumed effect. For example, people who are spanked during childhood tend to score lower on IQ tests during adolescence.2 Descriptions of temporal precedence tend to evoke cause and effect interpretations. For example, in the context of spanking and IQ, it is tempting to infer that spanking causes lower IQ. However, temporal precedence is necessary but not sufficient for inferring causality. As Steven Pinker described in The Blank Slate, if you set two alarms when you go to bed, one for 6:00am and the other for 6:15am, and the first alarm reliably goes off before the second alarm, you will have evidence of systematic covariance and temporal precedence, but that doesn’t mean that the first alarm caused the second alarm to go off. Likewise, spanking in childhood occurs before the measurement of IQ in adolescence, but that doesn’t provide evidence that spanking causes lower IQ. The tendency to infer causality from temporal precedence appears to underly belief in the well-refuted myth that vaccines cause autism3: Because vaccines are given before symptoms of autism reveal themselves, people are quick to mistakenly assume that the vaccines cause autism. By this logic, everything from crawling to walking is a cause of autism.

The third criterion is of utmost importance. To infer causality, researchers must address potential confounding variables—variables other than the presumed cause that could account for the association between the presumed cause and effect. In the case of spanking and IQ, for example, one can entertain all kinds of potential (and non-mutually exclusive) confounds: living in a high-stress, poverty-stricken environment could lead to both being spanked and suboptimal development of cognitive ability; lower parental IQ could be accounting for both the use of corporal punishment and children’s lower IQ scores; pre-existing low IQ scores in children could lead to both being spanked and continued lower IQ scores into adolescence; etc. To make the case for a specific cause (such as spanking), the cause must be isolated and then, via random assignment, imposed upon some individuals and not others (or varying levels of the cause must be imposed on different groups of individuals). Generally, this is accomplished through experimental design that includes manipulation of the presumed cause followed by measurement of the variable that is predicted to be affected by the manipulation.
Good stuff.

I frequently rail about the innumeracy and illogic of journalists. While I think it is a merited complaint, Bleske-Rechek suggests that they are primed for error by scientific sources.
Scholars have repeatedly blamed the media for inappropriate use of causal language. In 2016, when Brian Resnick of Vox asked famous psychologists and social scientists what journalists get wrong when writing about research, conflating correlation and causation topped the list. Indeed, unwarranted causal inferences abound in the media. A quick search on nearly any news site will reveal headlines like “How Student Alcohol Consumption Affects GPA” and “Sincere Smiling Promotes Longevity” and “For Teens, Online Bullying Worsens Sleep and Depression,” all of which are causal claims made on the basis of non-causal (correlational) research with measured variables.

Recently, though, several studies have shown that unwarranted causal language begins with scientists themselves. For example, in medicine, one extensive review showed that over half of articles about correlational studies included cause and effect interpretations of the findings.8 And in education, a review of articles published in teaching and learning journals found that over a third of articles about correlational studies included causal statements.9 In psychology, my colleagues and I conducted two studies that reinforced the ubiquity of the problem. First, we reviewed a random sample of poster abstracts that had been accepted for presentation at an annual convention of the premier professional organization in psychology, the Association for Psychological Science. We were disappointed to find that over half of the abstracts that included cause and effect language did so without warrant (i.e., the research was correlational). Of course, poster presentations are held to a less rigorous standard than are formal talks or published journal articles, so in a follow-up study, we reviewed 660 articles from 11 different well-known journals in the discipline. Our findings replicated: over half of the articles with cause and effect language described studies that were actually correlational; in other words, the causal language was not warranted.
Hmm. It is a known issue but when quantified, it goes from a canker to a cancer.

Bleske-Rechek provides an excellent example of the easy slide from correlation to causation without accounting for confounds.
The failure to consider confounds and to erroneously infer causality from correlational data inhibits us from developing optimally effective solutions to the problems we face in society. Consider, for example, the massive variation among young children in their early language acquisition and subsequent school achievement. One of the most commonly referenced studies in early childhood development and education is Hart & Risley’s 1995 longitudinal study that demonstrated that children raised in low socioeconomic status homes had parents who spoke far fewer words to them than did children raised in high socioeconomic status homes, and these early differences in language experience predicted subsequent disparities between children in their vocabularies and school achievement.10 This link was interpreted as causal—that the verbal environment parents provide to their children is a key influence on their children’s verbal development—and it spurred many intensive and expensive programs that teach and support verbal interaction between parents and infants. However, Hart and Risley’s data were correlational. That is, the researchers did not manipulate the quantity and quality of verbal interactions that parents had with their young children; they did not randomly assign some parents to provide one form of language experience and other parents to provide another and then measure any change in children’s development as a result of the manipulation. To suggest that differences in early language experiences cause differences in children’s vocabularies and school achievement requires the elimination of confounds—that is, variables that could account for the correlation because they lead to both strong verbal interaction from parents and strong verbal ability in children.

Shared genetics is one potential confound. Parents of higher socioeconomic status tend to have higher cognitive ability than parents of lower socioeconomic status, and socioeconomic status and cognitive ability are both heritable.11 So, shared genes could be a third variable that influences both the quality of language experiences that parents provide and children’s verbal ability. To test this possibility, behavioral geneticists have taken advantage of “experiments of nature” in which some children are raised by their biological parents (sharing both genes and environment) and some children are raised by adoptive parents (sharing only environment). In typical families (like those in Hart and Risley’s study), how similar are children to their parents, with whom they share both genes and a rearing environment? In adoptive families, how similar are children to their parents, with whom they share only a rearing environment?

In fact, the answers to these questions were first documented in the 1920s12 and have replicated on multiple occasions by myriad researchers13: In biological families, children resemble their parents in vocabulary and verbal ability; in adoptive families, they do not. The key implication is that Hart and Risley’s finding of a link between parents’ verbal behavior and their children’s verbal ability does not warrant an inference that parents’ verbal behavior influences their children’s verbal ability. The link is better explained by shared genes, because the association only reveals itself when parents and children are genetic relatives. Stated another way, the findings imply that the type of parents who provide high-quality language experiences to their children differ systematically from those who provide lower-quality experiences; and children who evoke high-quality verbal reactions from their parents differ systematically from those who do not. Because developmental psychologists and educators continue to interpret correlational data like Hart and Risley’s as evidence of the causal impact of early language experiences on verbal ability, they continue to push interventions that, in the end, are likely to be relatively less effective than interventions that acknowledge and address both environmental and genetic differences between individuals and families.
A worthwhile read.

Why do we keep committing a known mistake. I suspect partly it is that establishing causation requires hard-thinking and the experiments to establish causal relationships are far more expensive than to establish correlation.

It may also be that the real causal relationships are unaligned with the sympathy of the times and, indeed, jeopardize the reputations of academics. Take the case of Hart & Risley above. A correlational interpretation suggests that there are interventions that can be made to improve the educational outcomes of low vocabulary environments. That is a far more rosy outcome than the idea that low IQ is what leads to the vocabulary deficit.

When given the choice of a rosy outcome from correlation and a much more grim outcome from causation, is it any surprise that there are indirect pressures toward taking the correlation approach.

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