Univariate statistics provide information on a single variable. They summarise and reveal patterns in that variable. In Source, the variable used to calculate statistics is a time series result. Statistics are calculated in Results Manger on the Statistics tab, see Chart Statistics.
The types of univariate statistics available in Source are described in Table 1.
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Statistic | Definition | Example for |
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Minimum | Minimum value in the time series. | 0 |
Maximum | Maximum value in the time series. | 9 |
Number of Values | The number of values in the time series, not including nulls. | 6 |
Number of Nulls | The number of nulls, either missing values or values entered as -9999. These values are ignored in all other univariate statistics. | 1 |
Total | The sum of all values in the time series. | 27 |
Mean | The sum of all values in the time series divided by the number of values, | 5 |
Median | The middle value in the sorted list of all values in a time series. For n values, the middle value is . When n is even, the median is the mean of the two middle values. | 4 |
Standard Deviation | How widely values in the time series vary from the mean. See Standard Deviation. | 3.89 (to 2 decimal places) |
Skew | The skewness of the distribution of values in the time series. See Skew 55588284. | 0.23 (to 2 decimal places). |
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The standard deviation (s) measures the amount by which values in the time series vary from the mean. It is defined as:
Equation 1 |
Where:
x is the value of time series x at time step i
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The skew measures the degree of asymmetry of a distribution around its mean. It is defined as:
Equation 2 |
Where all terms are defined in Equation 1.
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