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The early 21st century has already seen numerous catastrophic failures of prediction: From terrorist attacks to financial crises to natural disasters to political upheaval, we routinely seem unable to predict the events that change the world. In The Signal and the Noise, statistician and analyst Nate Silver sets out to explain why our predictions typically fail and how we can do better.

According to Silver, prediction depends heavily on detecting a signal—relevant information—amidst a sea of noise—irrelevant or misleading information. Most of the time, he says, our predictions falter because mental mistakes such as incorrect assumptions, overconfidence, bias, and warped incentives cause us to mistake noise for signal. However, he also suggests that we can mitigate these thinking errors (and thus make better predictions) with the help of a method called Bayesian inference.

Silver is the creator of FiveThirtyEight, a political...

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The Signal and the Noise Summary Part 1: Why Prediction Is Hard

Before we discuss our prediction mistakes and Silver’s advice for how to avoid them, it’s worth acknowledging that even under the best circumstances, prediction is an inherently challenging endeavor. In this section, we’ll explore Silver’s analysis of how insufficient information, system complexity, and the tendency of small errors to compound all limit the accuracy of our predictions.

We Often Lack Sufficient Information

To make good predictions, Silver says, you need information about the phenomenon you’re trying to predict as well as a good understanding of how that phenomenon works. For example, today’s meteorologists have abundant information about atmospheric conditions as well as a good understanding of the physical laws by which those conditions develop. Accordingly, Silver says, they can make reasonably accurate predictions about the weather.

(Shortform note: Though Silver regards meteorology as a relatively successful field when it comes to predictions, some scientists suggest that climate change may have affected the accuracy of weather forecasts since The Signal and the Noise was published in 2012. Specifically, one study suggests that [shifting...

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The Signal and the Noise Summary Part 2: Why Our Predictions Are Worse Than They Could Be

So far, we’ve discussed challenges that are inherent to prediction—but according to Silver, these challenges don’t tell the whole story. Instead, he argues, we exacerbate these challenges through a series of mental errors that make our predictions even less accurate. In this section, we’ll examine these mental errors, which include making faulty assumptions, being overconfident, trusting data and technology too readily, seeing what we want to see, and following the wrong incentives.

We Make Faulty Assumptions

As we’ve seen, our predictions tend to go awry when we don’t have enough information or a clear enough understanding of how to interpret our information. This problem gets even worse, Silver says, when we assume that we know more than we actually do. He argues that we seldom recognize when we’re dealing with the unknown because our brains tend to make faulty assumptions based on analogies to what we do know.

(Shortform note: In Thinking, Fast and Slow, Daniel Kahneman explains that the brain uses these analogies to conserve energy by [substituting an easier problem in place of a hard...

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The Signal and the Noise Summary Part 3: Better Predictions Through Bayesian Logic

Although prediction is inherently difficult—and made more so by the various thinking errors we’ve outlined—Silver argues that it’s possible to make consistently more accurate predictions by following the principles of a statistical formula known as Bayes’ Theorem. Though Silver briefly discusses the mathematics of the formula, he’s most interested in how the theorem encourages us to think while making predictions. According to Silver, Bayes’ Theorem suggests that we make better predictions when we consider the prior likelihood of an event and update our predictions in response to the latest evidence.

In this section, we’ll briefly describe Bayes’ Theorem, then we’ll explore the broader lessons Silver draws from it and offer concrete advice for improving the accuracy of your predictions.

The Principles of Bayesian Statistics

Bayes’s Theorem—named for Thomas Bayes, the English minister and mathematician who first articulated it—posits that you can calculate the probability of event A with respect to a specific piece of evidence B. To do so, Silver explains, you need to know (or estimate) three things:

  • The prior probability of event A, regardless of whether...

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The Signal and the Noise Summary Part 4: Two Challenges for Today’s Forecasters

Although Silver maintains that his suggestions can improve the quality of our predictions, he cautions that it’s more difficult than ever to translate better prediction theory into better predictions in practice. We’ve already discussed one reason for that: namely, that contemporary technology forces us to wade through more noise to find meaningful signal. But Silver also argues that since the late 2010s, unprecedented political and social fragmentation have made prediction even harder. In this section, we’ll discuss how this fragmentation has complicated forecasters’ jobs by decreasing the diversity of thought and eroding public trust in expert advice.

Challenge #1: Increasingly Insular Groups

One problem for contemporary forecasters, according to Silver, is that contemporary news and social media encourage people to sort themselves into like-minded subgroups, which harms predictions by encouraging herd mentality and quashing opposing views. According to Silver, the best predictions often come when we combine diverse, independent viewpoints in order to consider a problem from all angles. Conversely, when you only listen to people who think the way you do,...

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Shortform Exercise: Improve Your Decisions

According to Silver, we can improve our predictions by analyzing why they go wrong and adopting better forecasting techniques. In this exercise, consider how you could use Silver’s ideas to improve your own prediction skills.


Describe a time when you got an important prediction wrong. (Remember that according to Silver, many of our major life decisions—such as the ones we make around our careers, relationships, and finances—are predictions even if that’s not how we think of them. For example, maybe you chose to move to a new location that you predicted you’d like but ended up hating.)

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