Читать книгу Statistics Equations (Speedy Study Guides) - Speedy Publishing - Страница 2

STATISTICS

EQUATIONS

Some Statistics Equations

Parameters

Population mean

Population standard deviation

Population variance

Variance of population proportion

Standardized score

Population correlation coefficient

Statistics

Sample mean

Sample standard deviation

Sample variance

Variance of sample proportion

Pooled sample proportion

Pooled sample standard deviation

Sample correlation coefficient

Correlation

Pearson product-moment correlation

Linear correlation (sample data)

Linear correlation (population data)

Simple Linear Regression

Simple linear regression line

Regression coefficient

Regression slope intercept

Regression coefficient

Standard error of regression slope =

Counting

n factorial

Permutations of n things, taken r at a time

Combinations of n things, taken r at a time

Probability

Rule of addition

Rule of multiplicatio

Rule of subtraction

Rule of multiplication

Rule of subtraction

Formula

μ = (Σ Xi ) / N

σ = sqrt [ Σ ( Xi - μ )2 / N]

σ2 = Σ ( Xi - μ )2 / N

σP2 = PQ / n

Z = (X - μ) / σ

ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) / σy ] }

Formula

x = ( Σ xi ) / n

s = sqrt [ Σ ( xi - x )2 / ( n - 1 ) ]

s2 = Σ( xi - x )2 /( n - 1 )

sp2 = pq / (n - 1)

p = (pl * nl + p2 * n2) / (nl + n2)

sp = sqrt [ (n1 - 1) * s12 + (n2 - 1) * s22 ] / (nl + n2 - 2) ]

r = [ 1 / (n - 1) ] * Σ { [ (xi - x) / sx ] * [ (yi - y) / sy ] }

r = Σ (xy) / sqrt [ (Σ x2 ) * (Σ y2 ) ]

r = [1 / (n - 1) ] * Σ { [ (xi - x) / sx ] * [ (yi - y) / sy ] }

ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) σy ] }

ŷ = b0 + b1x

b1 = Σ [ (xi - x) (yi - y)] / Σ [ (xi - x)2]

b0 = y - b1 * x

b1 = r * (sy / sx)

sb1 = sqrt [ Σ(yi - ŷi)2 / (n - 2) ] / sqrt [ Σ(xi - x)2 ]

n! = n * (n-1) * (n – 2) * … * 3 * 2 * 1. By convention, 0! = 1.

nPr = n! / (n - r)!

nCr = n! / r!(n - r)! = nPr / r!

Formula

P(A U B) = P(A) + P(B) - P(A n B)

P(A n B) = P(A) P(B|A)

P(A’) = 1 - P(A)

P(A n B) = P(A) P(B|A)

P(A’) = 1 - P(A)