## Factor Theorem

## unconditional inequality

## L-moments

## Old Faithful

## sign test

## Anderson–Darling test

## pair

## Tk

## linear dependence

## autocorrelation

## bootstrap

## algebraic number

## logarithm

## binomial distribution

## unconditional inequality Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...inequality Always true, irrespective of the values taken by the variables so x 2 +2 x +3>0 is unconditional since it can be expressed as ( x +1) 2 +2>0 which is always>0, but x 2 +2 x − 3>0 is a conditional inequality because it can be expressed as ( x +1) 2 >4 which is only true for x >1 or x...

## Factor Theorem Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...result, which is an immediate consequence of the remainder theorem : Theorem Let f ( x ) be a polynomial. Then x − h is a factor of f ( x ) if and only if f ( h )=0. The theorem is valuable for finding factors of polynomials. For example, to factorize 2 x 3 +3 x 2 −12 x −20, look first for possible factors x − h , where h is an integer. Here h must divide 20. Try possible values for h , and calculate f ( h ). It is found that f (−2)=−16+12+24−20=0, and so x +2 is a factor. Now divide the polynomial by this factor to obtain a quadratic which it...

##
*L*-moments
Quick reference

### A Dictionary of Statistics (3 ed.)

...-moments Measures of location , spread, and other properties of distributions that are computed from linear combinations of the ordered data values x (1) ≤ x (2) ≤⋯≤ x ( n ) (with mean x̄ , which is the first L -moment). Defining the quantities b 1 , b 2 ,…, b n− 1 by the next three L -moments are 2 b 1 − x̄ , 6 b 2 − 6 b 1 + x̄ , and 20 b 3 −30 b 2 +12 b 1 − x̄ . The second L -moment is related to the Gini statistic . An advantage of L -moments is that they can be calculated even when distributions have infinite...

## contour line Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...line A line joining points of a constant value. If z = f ( x , y ) is a function which defines a surface and the line y = g ( x ) has the property that f ( x, g ( x ) is constant then the line y = g ( x ) is a contour line. Physical geography maps show height contours and weather charts show pressure isobars which are contour lines. http://raider.mountunion.edu/~mcnaugma/topographic%20maps/contour.htm An illustrated explanation of contour...

## class boundaries Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...of accuracy, which will then allow you to determine the actual boundary of the interval. For example if intervals are 1.5≤ x <2.0; 2.0≤ x <2.4.…. with observations recorded correct to the nearest 0.1, then the class boundaries are 1.45, 1.85, 2.45, etc. One common special case is when the data refers to ages because the boundary between recording age 22 and age 23 is actually the 23rd birthday, so age classes of 16≤ x <18; 18≤ x <23.…. would have class boundaries at 16, 18, 23,...

## sign test Quick reference

### A Dictionary of Statistics (3 ed.)

... sample of n observations x 1 , x 2 ,…, x n is taken on the random variable X ; the null hypothesis is that the population has median m 0 . 2. A random sample of n observations ( x 1 , y 1 ), ( x 2 , y 2 ),…, ( x n , y n ) is taken on the pair of random variables ( X , Y ); the null hypothesis is that the distribution of X − Y has median 0. In both cases the analysis begins by noting the signs of the differences d 1 , d 2 ,…, d n , where in case (1) d j = x j − m 0 and in case (2) d j = x j − y j . In either case the...