Statistical laws | Design of experiments | Prime numbers

Wike's law of low odd primes

Wike's law of low odd primes is a methodological principle to help design sound experiments in psychology. It is: "If the number of experimental treatments is a low odd prime number, then the experimental design is unbalanced and partially confounded" (Wike, 1973, pp. 192–193). This law was stated by in a humorous article in which he also admits that the association of his name with the law is an example of Stigler's law of eponymy. The lowest odd prime number is three. Wike illustrates how this yields an unbalanced design with an invented study in which researchers investigated the effects on sexual satisfaction of water beds. The fictitious researchers randomly assigned couples to three groups: those having sex on a conventional bed, those having sex on a water bed, and those having sex on a water bed having also taken a sea sickness pill. Wike pointed out that any differences in sexual satisfaction among the three groups could be due to the water bed or to the sea sickness pill. It requires a fourth group, couples taking the pill and using a conventional bed, to balance the design and to allow the researchers to attribute any differences in sexual satisfaction among the groups to the sort of bed, to the pill, or to their interaction. (Wikipedia).

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Interesting Facts About the Last Digits of Prime Numbers

This video explains some interesting facts about the last digits of prime numbers.

From playlist Mathematics General Interest

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Zero is an even number or odd number?

Is zero even or odd? Is it neither? Is it BOTH?!? Determining if zero is even requires that we know what it means for a number to be even. Even numbers are any numbers that are divisible by two. Meaning they divide by two without any remainder. This, in general, is what it means for one

From playlist polymathematic #shorts

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Rational Exponents with even and odd powers and roots

In this video we look at what happens when we have matching powers and roots, where n is even or odd. @shaunteaches

From playlist Laws of Exponents

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Ex 2: Determine Factors of a Number

This is the second of three videos that provides examples of how to determine the factors of a number using a numbers prime factors. Search Video Library at http://www.mathispower4u.wordpress.com

From playlist Factors and Prime Factorization

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The distribution of primes and zeros of Riemann's Zeta function - James Maynard

Short talks by postdoctoral members Topic: The distribution of primes and zeros of Riemann's Zeta function Speaker: James Maynard Affiliation: Member, School of Mathematics Date: October 2, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Review: Prime Numbers

via YouTube Capture

From playlist Computation with Integers

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Multiplying and Dividing Monomials 10

A monomial problem with the laws of exponents and fractions embedded in fractions

From playlist Exponents

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Grade 8 Math Module 4 Lesson 23

Grade 8 Math Module 4 Lesson 23

From playlist Eureka Math Grade 8 Module 4

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Threeven and throdd numbers separate the prime numbers in a surprising way

Even and odd numbers separate the positive integers into two distinct universes. You can imagine such a thing as threeven numbers (numbers divisible by 3) and throdd numbers (numbers that aren't divisible by 3) that do much the same. But there's one key difference. Throdd numbers themselve

From playlist polymathematic #shorts

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Graphs of hyperbolic functions

Support me on Patreon: https://www.patreon.com/mathsaurus Graphs of all of the key hyperbolic functions - cosh, sinh, tanh, sech, cosech and coth. Visit http://www.mathsaurus.com/ for more free GCSE and A-level maths videos and resources Visit the Mathsaurus Amazon shop at https://www.am

From playlist FP3 Hyperrbolics

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Introduction to number theory lecture 32. Calculation of the Legendre symbol

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We use Gauss's lemma to find out when -2, 3, 5, are quadratic residues of a prime and give

From playlist Introduction to number theory (Berkeley Math 115)

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p-adic Artin L-function over a CM-field by Tadashi Ochiai

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

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Natural, cyclical, structural, and frictional unemployment rates | AP Macroeconomics | Khan Academy

Economists typically focus on three kinds of unemployment: cyclical, frictional, and structural. Learn about them, and how they relate to the business cycle, in this video. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconom

From playlist Economic indicators and the business cycle | AP Macroeconomics | Khan Academy

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Terence Tao - Long arithmetic progressions in the primes [ICM 2006]

slides for this talk: https://drive.google.com/open?id=1CkB1KiNe5T3YXH8mBimrWDAN0t4HQrfL ICM Madrid Videos 23.08.2006 Long arithmetic progressions in the primes Terence Tao University of California, Los Angeles, USA https://www.mathunion.org/icm/icm-videos/icm-2006-videos-madrid-spain/i

From playlist Number Theory

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The Monge - Ampère equations, the Bergman kernel, and geometry (Lecture 5) by Kengo Hirachi

PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo

From playlist Cauchy-Riemann Equations in Higher Dimensions 2019

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Sumfree Sets (Lecture 1) by Jean-Marc Deshouillers

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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Regis de la Breteche (Paris): Higher moments of primes in arithmetic progressions

Since the work of Barban, Davenport and Halberstam, the variances of primes in arithmetic progressions have been widely studied and continue to be an active topic of research. However, much less is known about higher moments. Hooley established a bound on the third moment in progressions,

From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"

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What is the Zero Power Property of Exponents

👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which

From playlist Simplify Using the Rules of Exponents

Related pages

Confounding | Prime number | Odd number | Interaction (statistics) | Experiment