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Correlation and Causation
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Philosophy of Science Branch Guide
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Read This Next
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These are not just nearby pages. They are the strongest next moves if you want the pressure of this page to keep unfolding.
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What is Etiology?
What is Etiology? keeps the same branch pressure in view but turns it from a different angle.
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Correlation Is Not Causation
Correlation Is Not Causation keeps the same branch pressure in view but turns it from a different angle.
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Causal Chains
Causal Chains keeps the same branch pressure in view but turns it from a different angle.
Prompt 1: Some phenomena cannot be scientifically evaluated directly and require that we use proxies to measure them. Give a list of 7 such cases across a wide variety of disciplines.
Why science sometimes has to measure by proxy
The Use of Proxies becomes clearer once the page stops treating it as a loose pile of nearby ideas. The important move is to show how the main parts connect without pretending they are interchangeable.
By the end of the section, the reader should be able to restate The Use of Proxies in plain language, identify an easy misuse of it, and say what would count as a stronger reason for or against the view.
Animal intelligence Animal behavior can be a good proxy for intelligence. For example, a crow’s ability to use tools to access food or a chimpanzee’s capacity to solve puzzles can hint at their cognitive abilities.
Past climate Scientists use things like ice cores, tree rings, and ocean sediments to understand past climates. By analyzing the gases trapped in bubbles in ice cores or the thickness of growth rings in trees, researchers can piece together information about past temperatures and atmospheric conditions.
Human personality Psychologists use surveys, questionnaires, and behavioral tests to assess personality traits like extroversion, agreeableness, and neuroticism. These tests provide indirect measures of a person’s underlying personality.
Economic well-being Gross Domestic Product (GDP) is a common proxy for a country’s economic well-being. It represents the total market value of all final goods and services produced in a country in a given year. However, GDP doesn’t take into account factors like income inequality or environmental quality.
Black holes Black holes themselves cannot be directly observed because they don’t emit light. However, astronomers can detect their presence by observing the gravitational effects they have on nearby objects.
Dark matter Similar to black holes, dark matter is invisible and cannot be directly detected. Scientists infer its existence based on its gravitational influence on visible matter in the universe.
Consciousness There is no single scientific definition or method for measuring consciousness. Scientists use brain imaging techniques and behavioral studies to try to understand the neural correlates of consciousness, but there is still much debate about what consciousness truly is and how to measure it.
- Climate Change Over Geological Time Scales In climatology and geology, direct measurements of historical climate conditions are impossible due to the vast time scales involved.
- Black Holes In astrophysics, black holes themselves cannot be directly observed because their gravitational pull is so strong that not even light can escape.
- Dark Matter and Dark Energy In cosmology, dark matter and dark energy constitute most of the universe’s mass-energy content, yet neither can be directly observed with current technology.
- Economic Health Economists cannot directly measure the health of an economy; instead, they use various indicators or proxies like GDP growth rates, employment figures, inflation rates, and consumer spending to get a sense of overall economic activity and health.
- Ancient Diets In archaeology and paleontology, direct evidence of prehistoric diets is rare.
- Subatomic Particles In particle physics, many subatomic particles cannot be observed directly due to their extremely short lifespans and the indirect nature of their interactions.
Prompt 2: Provide 5 actual cases in which a proxy was revealed to be improper.
Failed proxies matter because bad measurement can quietly mislead a whole inquiry.
improper proxies in practice matters here as a line of inquiry, not just a topic label. The section should narrow the reader's attention toward the tension that actually needs investigation.
By the end of the section, the reader should be able to restate improper proxies in practice in plain language, identify an easy misuse of it, and say what would count as a stronger reason for or against the view.
Enron Shareholder Proxy Scandal (2001) Enron, an energy company, used misleading information and tactics to influence shareholder votes through proxy advisors. An investigation revealed the company pressured employees who held shares to vote with management, even if it wasn’t in their best interests. This exposed the flaws in proxy voting systems without proper oversight.
Voting Machine Errors (2000 US Election) During the infamous 2000 US presidential election, voting machines in Florida malfunctioned, leading to inaccurate vote counts. These machines were supposed to be a proxy for voters’ choices, but their failure undermined the integrity of the election.
SAT Scores and College Success (Ongoing) Standardized tests like the SAT were once considered a strong proxy for college readiness. However, studies have shown that factors like socioeconomic background and access to test prep resources often have a bigger influence on scores than actual academic ability. This raises questions about the fairness of using such tests as a sole admissions criterion.
Economic Inequality and GDP (Multiple) GDP, as mentioned earlier, is a common proxy for economic well-being. However, critics argue it doesn’t capture the distribution of wealth within a country. A high GDP could mask significant income inequality, where a small percentage of the population holds most of the wealth.
Animal Testing and Human Health (Ongoing) Animal testing has long been used as a proxy to predict the effects of drugs and treatments on humans. However, there are growing concerns about the limitations of this approach. Animal physiology can differ significantly from humans, leading to inaccurate or misleading results.
- Hockey Stick Graph Controversy In the early 2000s, the “hockey stick” graph, which used tree rings as a proxy to reconstruct past temperatures, became a focal point of controversy in climate science.
- Dow Jones Industrial Average (DJIA) as a Market Proxy The DJIA is often used as a proxy for the overall health of the United States stock market and, by extension, the U.S. economy.
- Body Mass Index (BMI) for Health and Obesity Measurement BMI, calculated as weight in kilograms divided by the square of height in meters, is widely used as a proxy for body fat and overall health.
- SAT Scores as College Readiness Indicators SAT scores have long been used by colleges as a proxy for a student’s readiness for college-level work.
- GDP as a Measure of National Well-being Gross Domestic Product (GDP) is commonly used as a proxy for a country’s economic well-being and progress.
Prompt 3: How might we assess when we can legitimately make a causal inference from a proxy to the target phenomenon?
Clarifying the Use of Proxies
The Use of Proxies matters here as a line of inquiry, not just a topic label. The section should narrow the reader's attention toward the tension that actually needs investigation.
By the end of the section, the reader should be able to restate The Use of Proxies in plain language, identify an easy misuse of it, and say what would count as a stronger reason for or against the view.
- State the clearest version of The Use of Proxies before testing it.
- Ask what evidence, example, or argument would genuinely change the reader's judgment.
- Notice where a familiar phrase is doing more work than the reasoning beneath it.
- Keep the neighboring concepts visible so the page does not collapse different questions together.
Strong Theoretical Foundation There must be a well-founded theoretical basis for expecting that changes in the proxy are causally related to changes in the target phenomenon. This involves understanding the mechanisms through which the proxy influences the phenomenon and being able to articulate why this relationship holds.
Consistency Across Multiple Studies Observing consistent results across different studies, contexts, and methodologies strengthens the argument for a causal relationship. Replicability of findings using the proxy in varied settings reduces the likelihood that observed relationships are due to chance or confounding variables.
Temporal Precedence For a causal relationship to be considered, it is necessary to establish that changes in the proxy precede changes in the target phenomenon. This temporal ordering is critical to infer causality rather than a mere association.
Elimination of Confounding Variables A robust causal inference requires that alternative explanations for the observed relationship between the proxy and the target phenomenon be systematically ruled out. This involves controlling for potential confounders that could otherwise explain the observed relationship.
Granger Causality Tests In time-series analysis, Granger causality tests can be used to assess whether changes in one variable can predict changes in another variable, which is a prerequisite for causal inference. While not definitive proof of causality, these tests can provide evidence of temporal precedence and predictive power.
Instrumental Variable (IV) Analysis IV analysis is a technique used in statistics and econometrics to estimate causal relationships when controlled experiments are not feasible. An instrumental variable is correlated with the proxy but not directly with the outcome, except through its effect on the proxy. This method helps to control for unobserved confounders.
Counterfactual Reasoning Assessing what would have happened to the target phenomenon in the absence of changes in the proxy helps establish a causal link. While often theoretical, approaches like difference-in-differences and synthetic control methods can provide empirical counterfactuals.
Mediation Analysis This involves identifying and testing the mechanism by which the proxy affects the target phenomenon. Demonstrating that the relationship between the proxy and the phenomenon is mediated by an expected process adds credibility to the causal claim.
Experimental Manipulation Where possible, experimentally manipulating the proxy and observing the consequent effect on the target phenomenon provides strong evidence for causality. In many cases, however, such manipulation is not feasible due to ethical or logistical constraints.
Peer Review and Consensus Finally, peer review and scientific consensus play a crucial role in assessing the legitimacy of causal inferences. The scrutiny of the scientific community can help identify flaws, biases, or alternative explanations that the original investigators may have overlooked.
Strength of the Association A strong correlation between the proxy and the target variable is a good starting point. The stronger the association, the more likely it is that the proxy reflects the actual phenomenon.
Temporal Relationship The proxy variable should ideally precede changes in the target variable. This helps establish that the proxy is influencing the target and not the other way around.
Ruling Out Alternative Explanations It’s crucial to consider other factors that might influence both the proxy and the target variable. If there are alternative explanations for the observed association, then the causal inference from proxy to target is weakened.
Validity of the Proxy A good proxy should accurately reflect the target phenomenon. If the proxy itself is flawed or doesn’t truly capture the essence of what you’re trying to measure, then any causal inferences will be unreliable.
Mechanistic Understanding Ideally, there should be a plausible explanation for why the proxy influences the target variable. Understanding the underlying mechanism strengthens the case for causal inference.
Strong Association? There might be a correlation between high SAT scores and academic performance in college, but is it strong?
Temporal Relationship? SAT scores are taken before college, so temporally they precede academic performance.
Alternative Explanations? Socioeconomic background, access to preparatory resources, and non-cognitive skills can all influence both SAT scores and college success. Are these factors being accounted for?
Prompt 4: Provide me with 5 examples of counter-intuitive or surprising legitimate proxies.
What Pirate Activity as an Indicator of Economic Health in Maritime Regions explains, and where it starts to strain
intuitive or surprising legitimate proxies is easiest to understand once it is forced into concrete cases. That is where the reader can tell which distinctions explain anything and which ones are only decorative.
By the end of the section, the reader should be able to restate intuitive or surprising legitimate proxies in plain language, identify an easy misuse of it, and say what would count as a stronger reason for or against the view.
- Ask what the example clarifies about intuitive or surprising legitimate proxies, not just whether it sounds vivid.
- Notice which background assumptions the example quietly relies on.
- Check whether the case supports the conclusion or merely illustrates it.
- Ask what a nearby counterexample would have to look like.
Sewage Analysis for Drug Use in Communities The analysis of sewage water for traces of drugs has emerged as a surprising but effective proxy for assessing the level of drug consumption within a community. This method can provide an objective measure of drug use patterns over time, unaffected by the biases and underreporting inherent in surveys and self-report methods. It can also reveal the emergence of new substances in the community.
Coffee Prices and Global Shipwreck Rates This might sound like a wacky connection, but there’s a surprising correlation. Coffee is a major global commodity, and its price fluctuates based on supply and demand. One factor affecting supply? Shipwrecks! Since a significant portion of coffee is transported by sea, a rise in coffee prices can sometimes be a counter-intuitive proxy for an increase in shipwrecks. This is because higher coffee prices incentivize riskier shipping practices, like overloading ships or taking less safe routes, which can lead to more accidents.
Lipstick Sales and Economic Downturns Believe it or not, lipstick sales can sometimes be a counter-intuitive proxy for economic recessions. The theory goes that during economic hardship, people might cut back on expensive luxuries, but lipstick is a relatively inexpensive way for consumers, particularly women, to treat themselves and feel good. So, a surge in lipstick sales could ironically foreshadow an economic downturn.
Hemline Index and Stock Market Performance This is a historical, and not entirely reliable, proxy, but it’s an interesting one nonetheless. The theory proposes a correlation between rising hemlines in women’s fashion and a booming stock market. The reasoning is that during periods of economic optimism, people feel more confident and carefree, which can be reflected in more revealing clothing styles. Conversely, falling hemlines might be seen as a proxy for economic conservatism and potentially a market downturn. However, this correlation is not always accurate and can be influenced by other fashion trends.
Spelling Bee Winners and Stock Market Crashes This is another attention-grabbing, but not entirely reliable, proxy. A study proposed a statistical correlation between the number of winners in the Scripps National Spelling Bee and subsequent stock market crashes. The theory suggests that a high number of winners might indicate a focus on rote memorization over critical thinking skills, potentially reflecting a broader societal trend that could contribute to economic instability. However, the validity of this proxy is highly debated, and the study itself has been criticized for methodological flaws.
Number of Pirates and Global Temperature This might seem like something out of a fantasy novel, but there’s a potential link. Studies suggest that periods of increased global piracy often coincided with cooler global temperatures. The reasoning is that cooler temperatures can disrupt major ocean currents, impacting weather patterns and making certain regions more difficult to navigate. This could create opportunities for pirates to exploit these disruptions and prey on vulnerable ships. While the correlation isn’t perfect, it highlights the unexpected ways in which seemingly unrelated phenomena can be connected.
What ties this page together.
A good route is to identify the strongest version of the idea, then test where it needs qualification, evidence, or a neighboring concept.
The main pressure comes from treating a useful distinction as final, or treating a local insight as if it solved more than it actually solves.
Read this page as part of the wider Philosophy of Science branch: the prompts point inward to the topic, but they also point outward to neighboring questions that keep the topic honest.
- What is a common proxy used to reconstruct past climate conditions?
- How are black holes detected in the universe?
- What economic indicator is criticized for only including 30 large public companies?
- Which distinction inside The Use of Proxies is easiest to miss when the topic is explained too quickly?
- What is the strongest charitable reading of this topic, and what is the strongest criticism?
Deep Understanding Quiz Check your understanding of The Use of Proxies
This quiz checks whether the main distinctions and cautions on the page are clear. Choose an answer, read the feedback, and click the question text if you want to reset that item.
Future Branches
Where this page naturally expands
Nearby pages in the same branch include What is Etiology?, Correlation Is Not Causation, Causal Chains, and Orthogonality; those links are not decorative, but suggested continuations where the pressure of this page becomes sharper, stranger, or more usefully contested.