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.