By Alex Reinhart

ISBN-10: 1593276206

ISBN-13: 9781593276201

Clinical development is determined by solid learn, and strong learn wishes solid records. yet statistical research is hard to get correct, even for the easiest and brightest folks. You'd be shocked what number scientists are doing it wrong.

Statistics performed mistaken is a pithy, crucial consultant to statistical errors in glossy technological know-how that may allow you to maintain your examine blunder-free. You'll study embarrassing mistakes and omissions in contemporary examine, find out about the misconceptions and medical politics that let those blunders to occur, and start your quest to reform how you and your friends do statistics.

You'll locate suggestion on:

Asking the precise query, designing the perfect scan, selecting the best statistical research, and sticking to the plan

How to contemplate p values, value, insignificance, self assurance periods, and regression

Choosing definitely the right pattern dimension and fending off fake positives

Reporting your research and publishing your info and resource code

Procedures to stick with, precautions to take, and analytical software program that could help

Scientists: learn this concise, strong consultant that will help you produce statistically sound research.

Statisticians: supply this e-book to each person you know.

The first step towards data performed correct is records performed Wrong.

About the Author

Alex Reinhart is a information teacher and PhD pupil at Carnegie Mellon collage. He got his BS in physics on the college of Texas at Austin and does learn on finding radioactive units utilizing information and physics.

Table of Contents

Introduction

Chapter 1: An advent to Statistical Significance

Chapter 2: Statistical strength and Underpowered Statistics

Chapter three: Pseudoreplication: decide on Your facts Wisely

Chapter four: The p worth and the bottom fee Fallacy

Chapter five: undesirable Judges of Significance

Chapter 6: Double-Dipping within the Data

Chapter 7: Continuity Errors

Chapter eight: version Abuse

Chapter nine: Researcher Freedom:Good Vibrations?

Chapter 10: all people Makes Mistakes

Chapter eleven: Hiding the Data

Chapter 12: What may be performed?

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**Additional resources for Statistics Done Wrong: The Woefully Complete Guide**

**Example text**

1. f (α) = c1 . 6 is an entire function with zeros at zn . 11(ii) Elementary Properties Suppose D is a domain, and A polynomial of degree n with real or complex coefficients has exactly n real or complex zeros counting multiplicity. Every monic (coefficient of highest power is one) polynomial of odd degree with real coefficients has at least one real zero with sign opposite to that of the constant term. A monic polynomial of even degree with real coefficients has at least two zeros of opposite signs when the constant term is negative.

11 F (k)eikθ . 23 σn (θ) = 1 2π 2π Kn (θ − t)f (t) dt. 25 is the Fourier series of f (θ), then the series ∞ F (n)einθ F (0) + 2 n=1 can be extended to the interior of the unit circle as an analytic function P (x, y) dx → 0, ∞ F (n)z n . 14(i)). 37 f (t)P (x − t, y) dt h(x, y) = 2π −∞ is the Poisson integral of f (t). 15(v). 29 |h(x, y) − f (x)| dx = 0. lim y →0+ −∞ Suppose now f (x) is real-valued and integrable on (−∞, ∞). Let 1 i ∞ f (t) dt, π −∞ (x − t) + iy where y > 0 and −∞ < x < ∞. 34). 39 − as y → 0.

50 S(f ) = L (L (f )). 1: Fourier transforms. 3: Fourier sine transforms. 2: Fourier cosine transforms. 5: Mellin transforms. 4: Laplace transforms. ∞ ∞ e f (t) −st xs−1 f (x) dx f (x) f (t) dt 0 0 1 , s 1 n s>0 t n! sn+1 1 1 √ πt 1 √ , s e−at 1 , s+a (s + a) > 0 tn e−at n! 1 , (s + a)n+1 (s + a) > 0 e−at − e−bt b−a 1 , (s + a)(s + b) , s>0 1, 0, ln(a/x), x < a, 0, x≥a s>0 a , + a2 s > | a| s2 s , + a2 s > | a| s2 a , − a2 s > | a| cosh(at) s , s2 − a2 s > | a| t sin(at) 2as , (s2 + a2 )2 s > | a| t cos(at) s2 − a2 , (s2 + a2 )2 s > | a| cos(at) sinh(at) e−bt − e−at t ln s+a , s+b 2(1 − cosh(at)) t ln 1 − a2 , s2 (s + a) > 0 2(1 − cos(at)) t ln 1 + a2 , s2 s>0 sin(at) t arctan a , s s>0 s>0 as , s2 a ≥ 0, s>1 0 < s < 1, (Cauchy p.

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