In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount as simply as possible. Statisticians commonly try to describe the observations in
- a measure of location, or central tendency, such as the arithmetic mean
- a measure of statistical dispersion like the standard deviation
- a measure of the shape of the distribution like skewness or kurtosis
- if more than one variable is measured, a measure of statistical dependence such as a correlation coefficient
A common collection of order statistics used as summary statistics are the five-number summary, sometimes extended to a seven-number summary, and the associated box plot.
Entries in an analysis of variance table can also be regarded as summary statistics.
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Other articles related to "summary statistics, summary statistic, summary":
... Descriptive statistics Sufficient statistic. ...
... competing models/hypotheses, the number of simulations, the choice of summary statistics, or the acceptance threshold cannot currently be based on general rules, but the effect ... such as the quantification of the fraction of parameter variance explained by the summary statistics ... the given observed data, for example, by comparing the posterior predictive distribution of summary statistics to the summary statistics observed ...
... It has been shown that the combination of insufficient summary statistics and ABC for model selection can be problematic ... Indeed, if one lets the Bayes factor based on the summary statistic be denoted by, the relation between and takes the form ... Thus, a summary statistic is sufficient for comparing two models and if and only if , which results in that ...
... Firstly, the sample maximum and minimum are basic summary statistics, showing the most extreme observations, and are used in the five-number summary and seven-number summary and the associated box plot ...
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