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How to Lie with Statistics

How to Lie with Statistics

Darrell Huff
1954
T1 142 pages · about 2h 22m to read Open Librarygoodreads

Summary

Huff wrote a short illustrated book in 1954 cataloguing the standard techniques for producing misleading numbers. It covers biased samples, the difference between mean, median and mode, the omission of sample sizes and confidence intervals, the truncated y-axis, the one-dimensional picture used to represent a doubling as a fourfold visual increase, post hoc reasoning about causation, and what he calls the semi-attached figure, where a number is presented as evidence for a claim it does not support.

The examples come from mid-century advertising, journalism and market research, including toothpaste claims, income statistics and public health reporting. The final chapter, on how to talk back to a statistic, gives five questions: who says so, how do they know, what is missing, did somebody change the subject, and does it make sense.

The book's usefulness is that the techniques have not changed. Every method Huff describes appears in modern startup metrics, in fund performance presentations and in public health reporting, with better graphics. The chart manipulation material applies directly to any dashboard, and the biased sample chapter applies to every customer survey.

There are two problems. Huff himself later testified for the tobacco industry, arguing that the statistical link between smoking and cancer was the kind of correlation his book warned against, which is a serious mark against his judgment and shows how the book's scepticism can be misused. The statistics are elementary and the book will teach nothing to anyone with quantitative training. Some examples and the illustrations are dated. It remains the best short introduction to numerical scepticism for a general reader.

Key takeaways 8

  1. A sample that is not random produces a number that describes only who responded, and the selection method is usually omitted from the report.
  2. The word average conceals which measure is being used, and mean, median and mode can be chosen to support opposite conclusions from the same data.
  3. A number without its sample size or its margin of error cannot be evaluated, and both are routinely omitted.
  4. Truncating a chart axis exaggerates a change, and the technique is used more often than any other because it survives casual inspection.
  5. Representing a doubling with a picture scaled in two dimensions produces a fourfold visual impression, which is deliberate rather than careless.
  6. A correlation is presented as a cause by simply describing it in causal language, without any claim being made that could be checked.
  7. A figure that supports one claim is frequently presented as evidence for a different and larger claim.
  8. Any statistic should be checked by asking who produced it, how they could know, what has been omitted, and whether the conclusion follows from the number given.

Who should read it

Anyone reading fund performance, startup metrics or research summaries who wants a short catalogue of how numbers are made to mislead.

Who recommended it 9 · 5 direct

Jason Zweigreported

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How the science of cause and effect moved past 'correlation is not causation'.

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How randomness shapes our lives, the history of probability, and why we misread it.

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What each econometric technique is for, what it assumes and what goes wrong.

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Where it sits in the reference 4

Mental models
Mental models
Mental models
Mental models

Topics

Mathematics and StatisticsReference WorksStatistics, probability and dataScience, mathematics and medicine texts