Video for basic statistical symbols
An introduction of basic symbols of statistics
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Sign | Description | Meaning 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 |
Sign | Meaning 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 |
Sign | Description | Meaning in statistics |
---|---|---|
\[\huge\bar{\small[value]}\] | Bar notation | Mean of: [value], or everything directly below the bar sign |
\[\huge\hat{\small[value]}\] | Hat operator notation | Estimator (or predicted value of a sample) of: [value], or everything directly below the hat operator sign |
\[\LARGE\prod \small[value]\] | Product notation | Multiplying of: [value], or everything directly after the product sign |
\[\LARGE\sum \small[value]\] | Sigma notation | Summification of: [value], or everything directly after the sigma sign |
\[\huge\sqrt{\small[value]}\] | Square root notation | Square root of: [value], or everything directly after the square root sign |
An introduction of basic symbols of statistics
In statistics, the difference between the statistic that describes the sample of the population and the parameter that describes the entire population is important.
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The normal distribution is a symmetric, bell-shaped distribution. The normal distribution
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Correct decision: the null hypothesis is incorrect, and the researcher rejects the null hypothesis.
Correct decision: the null hypothesis is correct, and the researcher does not reject the null hypothesis.
Type-I error: the null hypothesis is correct, but the researcher rejects the
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