Video for basic statistical symbols
An introduction of basic symbols of statistics
- 2306 reads
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.
Read more:
The normal distribution is a symmetric, bell-shaped distribution. The normal distribution
........Read moreThe variability of a distribution refers to the extent to which scores are spread or clustered.
........Read moreDescriptive statistics describes data (for example: how many people have partners and how many do not? How many people have children and how many do not?) and
........Read moreWhen drawing conclusions, four scenarios are possible:
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
Some researchers critize the process
........Read moreGenerally, we do not know the value of the standard deviation of the (σ), and we have to estimate it with the standard deviation of the
........Read moreCorrelation and Regression are the two analysis based on multivariate distribution. A multivariate distribution is described as a distribution of multiple
........Read morePredicting and explaining (causal) relations can be important when there are more than two variables, because a phenomenon can be
........Read more