Scientific progress depends on good research, and good research needs good statistics. But statistical analysis is tricky to get right, even for the best and brightest of us. You'd be surprised how many scientists are doing it wrong.
Statistics Done Wrong is a pithy, essential guide to statistical blunders in modern science that will show you how to keep your research blunder-free. You'll examine embarrassing errors and omissions in recent research, learn about the misconceptions and scientific politics that allow these mistakes to happen, and begin your quest to reform the way you and your peers do statistics.
You'll find advice on:
Asking the right question, designing the right experiment, choosing the right statistical analysis, and sticking to the plan
How to think about p values, significance, insignificance, confidence intervals, and regression
Choosing the right sample size and avoiding false positives
Reporting your analysis and publishing your data and source code
Procedures to follow, precautions to take, and analytical software that can help
Scientists: Read this concise, powerful guide to help you produce statistically sound research. Statisticians: Give this book to everyone you know.
The first step toward statistics done right is Statistics Done Wrong.
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Whole-book reading guide from stratified index samples; jump to passages in the text
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# Statistics Done Wrong: The Woefully Complete Guide
## 【One-Line Pitch】
A witty, practical field guide to the most common statistical errors in scientific research, teaching readers how to spot flawed analyses and design studies that actually produce trustworthy results. Essential reading for scientists, researchers, and anyone who wants to critically evaluate claims backed by data.
## 【Book Arc】
- **Opening (~0%–10%)**: Introduces the core problem—scientists routinely misuse statistics, often unintentionally—and sets up the book's mission to expose common blunders. The author shares his origin story as a physics student who discovered that unintentional errors are far more interesting than outright fraud.
- **Early (~10%–25%)**: Establishes the foundation of statistical significance, explaining what p values really mean (a measure of surprise, not importance), the historical Fisher vs. Neyman-Pearson debate, and why the conventional p < 0.05 threshold is arbitrary yet entrenched.
- **Early–Middle (~25%–40%)**: Dives into statistical power and underpowered studies, showing how small sample sizes doom research before it starts, why "no significant difference" doesn't mean "no difference," and how the winner's curse inflates published effect sizes.
- **Middle (~40%–50%)**: Explores pseudoreplication—collecting data that answers the wrong question—using examples like bird song dialects and the famous (and flawed) menstrual synchrony studies to show how non-independent samples fool researchers.
- **Middle–Late (~50%–70%)**: Covers data-dredging sins: circular analysis, regression to the mean, stopping rules, needless dichotomization, confounding variables, and model abuse including correlation-vs-causation traps and Simpson's paradox.
- **Late–Ending (~70%–100%)**: Addresses researcher freedom and bias, the pressure to publish exciting results, and concludes with practical advice on reporting analyses transparently, publishing data and code, and reforming statistical practice.
## 【Key Takeaways】
- **P values measure surprise, not truth** (Early): A p value tells you how surprising your data would be if the null hypothesis were true—it doesn't measure effect size, importance, or the probability your hypothesis is correct. Treat small p values as a prompt for further investigation, not a verdict.
- **Statistical significance ≠ practical significance** (Early): With enough data, you can detect trivially small effects that have no real-world importance; conversely, an insignificant result doesn't prove no effect exists. Always ask whether the magnitude of an effect matters, not just whether it's "significant."
- **Underpowered studies are doomed before they start** (Early–Middle): If your sample is too small to detect the effect you're looking for, you're wasting resources and setting yourself up for misleading conclusions. Power calculations should be a prerequisite, not an afterthought.
- **The winner's curse inflates published effects** (Middle): When many researchers compete to publish exciting results, the lucky (not the best) studies get published, exaggerating true effect sizes. Early findings in fast-moving fields like genetics are often the most extreme—and the least reliable.
- **Pseudoreplication answers the wrong question** (Middle): Treating non-independent observations as independent inflates your effective sample size and can produce confident but false conclusions. The classic bird song dialect studies and menstrual synchrony research both fell into this trap.
- **Small samples create spurious patterns** (Middle): Counties with tiny populations show extreme cancer rates purely from random variation; the same logic explains why small schools or small groups often appear at both extremes of any metric. Shrinkage methods help but introduce their own biases.
- **Researcher freedom breeds bias** (Late): When analysts have many choices—which variables to include, when to stop collecting data, how to define outcomes—they can unconsciously "double-dip" in the data and find patterns that don't generalize. Pre-registration and transparent reporting are antidotes.
## 【Reading Tips】
- **Skim the preface and introduction** (~0%–10%): They set up the book's philosophy and give you the big picture; the technical details come later.
- **Deep-read Chapters 1–2** (~10%–40%): The p value explanation and power analysis are the conceptual core of the book. Work through the coin-flipping and drug trial examples carefully—they make abstract ideas concrete.
- **Pay special attention to the pseudoreplication chapter** (~40%–50%): The bird song and menstrual synchrony case studies are memorable and illustrate a subtle error that's easy to commit unknowingly.
- **Skim the later chapters on model abuse and researcher freedom** (~50%–80%): These are more applied and less technical; you can move faster while still absorbing the key warnings about correlation, confounding, and bias.
- **Don't skip the final chapters on reporting and reform** (~80%–100%): They contain actionable advice on publishing data, sharing code, and changing how you and your colleagues approach statistics.
## 【Coverage Limits】
The excerpts cover roughly the first half of the book in detail (through pseudoreplication and early data-dredging topics), with lighter coverage of the later chapters on model abuse, researcher freedom, and reform. Specific chapter titles beyond Chapter 3 are partially visible in the table of contents but not fully elaborated in the source material.
##
Excerpt 1
ing it wrong. • Procedures to follow, precautions to take, Statistics Done Wrong is a pithy, essential and analytical software that can help guide to statist...
can give the authors some leeway because many introductory statistics textbooks also poorly or incorrectly define this basic concept. When the designers of s...
coins that turn up 50% heads and 51% heads, the difference between a 3% and 4% side effect rate is difficult to discern. If four people taking Fixitol have s...
low-bellied sapsuckers than Dialect B was; it was only evi- dence for that specific song or recording. A proper answer to the research question would have re...
e gone unreported. The p Value and the Base Rate Fallacy 45 Figure 4-2: Cartoon from xkcd, by Randall Munroe (http://xkcd.com/882/) 48 Chapter 4 than checkin...
ot of opportunities for false positives and truth inflation. If in your explorations you find an interesting correlation, the standard procedure is know whic...
l get a similar quality of care. This indicates that wealth is the primary factor, not yacht length. But by dichotomizing the variables, you’ve effectively c...
variables to choose from, there are often many combinations of variables that predict the outcome nearly as well. Had I picked 43 more watermelons to test, I...
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