 Statistics - Notations # Statistics – Notations

Following desk exhibits the utilization of assorted symbols utilized in Statistics

## Capitalization

Typically decrease case letters signify the pattern attributes and capital case letters are used to signify inhabitants attributes.

• PP – inhabitants proportion.
• pp – pattern proportion.
• XX – set of inhabitants components.
• xx – set of pattern components.
• NN – set of inhabitants measurement.
• NN – set of pattern measurement.

## Greek Vs Roman letters

Roman letters signify the pattern attributs and greek letters are used to signify Inhabitants attributes.

• μμ – inhabitants imply.
• x¯ – pattern imply.
• δδ – customary deviation of a inhabitants.
• ss – customary deviation of a pattern.

## Inhabitants particular Parameters

Following symbols signify inhabitants particular attributes.

• μμ – inhabitants imply.
• δδ – customary deviation of a inhabitants.
• μ2μ2 – variance of a inhabitants.
• PP – proportion of inhabitants components having a selected attribute.
• QQ – proportion of inhabitants components having no explicit attribute.
• ρρ – inhabitants correlation coefficient based mostly on all the components from a inhabitants.
• NN – variety of components in a inhabitants.

## Pattern particular Parameters

Following symbols signify inhabitants particular attributes.

• x¯ – pattern imply.
• ss – customary deviation of a pattern.
• s2s2 – variance of a pattern.
• pp – proportion of pattern components having a selected attribute.
• qq – proportion of pattern components having no explicit attribute.
• rr – inhabitants correlation coefficient based mostly on all the components from a pattern.
• nn – variety of components in a pattern.

## Linear Regression

• B0B0 – intercept fixed in a inhabitants regression line.
• B1B1 – regression coefficient in a inhabitants regression line.
• R2R2 – coefficient of dedication.
• b0b0 – intercept fixed in a pattern regression line.
• b1b1 – regression coefficient in a pattern regression line.
• sb1sb1 – customary error of the slope of a regression line.

## Chance

• P(A)P(A) – chance that occasion A will happen.
• P(A|B)P(A|B) – conditional chance that occasion A happens, on condition that occasion B has occurred.
• P(A)P(A′) – chance of the complement of occasion A.
• P(AB)P(A∩B) – chance of the intersection of occasions A and B.
• P(AB)P(A∪B) – chance of the union of occasions A and B.
• E(X)E(X) – anticipated worth of random variable X.
• b(x;n,P)b(x;n,P) – binomial chance.
• b(x;n,P)b∗(x;n,P) – detrimental binomial chance.
• g(x;P)g(x;P) – geometric chance.
• h(x;N,n,ok)h(x;N,n,ok) – hypergeometric chance.

## Permutation/Mixture

• n!n! – factorial worth of n.
• nPrnPr – variety of permutations of n issues taken r at a time.
• nCrnCr – variety of mixtures of n issues taken r at a time.

## Set

• ABA⋒B – intersection of set A and B.
• ABA⋓B – union of set A and B.
• {A,B,C}{A,B,C} – set of components consisting of A, B, and C.
•  – null or empty set.

## Speculation Testing

• H0H0 – null speculation.
• H1H1 – different speculation.
• αα – significance degree.
• ββ – chance of committing a Kind II error.

## Random Variables

• ZZ or zz – standardized rating, often known as a z rating.
• zα – standardized rating that has a cumulative chance equal to 1α1−α.
• tα – t statistic that has a cumulative chance equal to 1α1−α.
• fα – f statistic that has a cumulative chance equal to 1α1−α.
• fα(v1,v2)fα(v1,v2) – f statistic that has a cumulative chance equal to 1α1−α and v1v1 and v2v2 levels of freedom.
• X2X2 – chi-square statistic.

## Summation Symbols

•  – summation image, used to compute sums over a variety of values.
• x∑x or xi∑xi – sum of a set of n observations. Thus, x=x1+x2+...+xn∑x=x1+x2+…+xn. 