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Statistics Magazine: Understanding statistical samples

Statistics Magazine: Understanding statistical samples

In short: Statistical samples

  • A statistical sample is a small group of people or things that is used to represent a larger group. This is often done because it is not possible or practical to measure the entire group.
  • If the sample is representative of the larger group, then the results of the analysis of the sample can be used to make inferences about the larger group.
Recognizing commonly used statistical symbols: greek, latin and mathematical

Recognizing commonly used statistical symbols: greek, latin and mathematical

Recognizing commonly used statistical symbols

  • In statistics, you will come across many symbols. Most of the statistical symbols are greek, latin and mathematical symbols and each has a different meaning in statistics.
  • On this page you will find the most commonly used statistical symbols in alphabetical order with their name and meaning for a quick reference.

 

Commonly used greek symbols

SignDescriptionMeaning in statistics
\[\huge{\alpha}\]Alpha

Chance of type I error

\[\huge\beta\]Beta

Chance of type II error

\[\huge\beta_i\]Beta of i

Standardised regression coëfficiënt

\[\huge\epsilon\]Epsilon

Error

\[\huge\eta^2\]Eta squared

Measurement of effect size

\[\huge\mu\]Mu

Mean of scores of population

\[\huge\rho\]Rho

Correlation in population

\[\huge\sigma\]Sigma

Standard deviation

\[\huge\sigma^2\]Sigma squared

Variance of population

\[\huge\sigma_x\] 

Standard error

\[\huge\tau\]Kendall’s Tau

A non-parametric correlation coefficient

\[\huge\varphi\]Phi

Association between two categorical variables

\[\huge \chi^2\]Chi-square

Association between two categorical variables

\[\huge\omega^2\]Omega squared

Measurement of effect size

 

Commonly used latin symbols

SignMeaning in statistics
\[\huge b_i\]Regression coefficient
\[\huge df\]Degrees of freedom
\[\huge e_i\]Error associated with variable i
\[\huge F\]F-statistic
\[\huge H\]Kruskall-Wallis test statistic
\[\huge k\]Number of levels of variables
\[\huge ln\]Natural logarithm
\[\huge MS\]Mean squared error
\[\huge N, n, n_1\]Size of sample of population
\[\huge P\]Probablity
\[\huge r\]Pearson’s correlationcoefficient
\[\huge r_s\]Spearman’s rank correlationcoefficient
\[\huge r_b\]Biserial correlationcoefficient
\[\huge r\]Multiple correlationcoefficient
\[\huge R^2\]Determination coefficient
\[\huge s\]Standard deviation of sample of population
\[\huge s^2\]Variance of sample of population
\[\huge SS\]Sum of squares
\[\huge SSA\]Sum of squares of variable A
\[\huge SS_M\]Model of sum of squares
\[\huge SS_R\]Rest sum of squares
\[\huge SST\]Total sum of squares
\[\huge t\]Test statistic for t-test
\[\huge t\]Test statistic for Wilcoxon’s matched-pairs signed-rank test
\[\huge U\]Test statistic for Mann-Whitney test
\[\huge W_s\]Test statistic for Wilcoxon’s rank-sum test
\[\huge\bar{x}\]Mean of sample scores
\[\huge z\]Point of data expressed in units of standard deviation

 

Commonly used mathematical symbols

SignDescriptionMeaning in statistics
\[\huge\bar{\small[value]}\]Bar notationMean of: [value], or everything directly below the bar sign
\[\huge\hat{\small[value]}\]Hat operator notationEstimator (or predicted value of a sample) of: [value], or everything directly below the hat operator sign
\[\LARGE\prod \small[value]\]Product notationMultiplying of: [value], or everything directly after the product sign
\[\LARGE\sum \small[value]\]Sigma notationSummification of: [value], or everything directly after the sigma sign
\[\huge\sqrt{\small[value]}\]Square root notationSquare root of: [value], or everything directly after the square root sign

More knowledge and assistance for recognizing statistical symbols

See below for

  • What is the difference between Greek and Latin letters in statistics?
  • Video for basic statistical symbols
  • Glossary, video
  • Related topics for encountering and understanding and applying statistics
  • Updates for WorldSupporter Statistics
  • Statistics: Magazines for encountering Statistics
  • Statistics: Magazines for understanding statistics
  • Statistics: Magazines for applying statistics
Supporting content & Crossroads:
Startmagazine: Introduction to Statistics
Statistiek en onderzoek - Thema
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