Properties
Information about the chart is displayed in the Properties pane or (if you select an option from the Chart tab) as a summary pane on the chart itself.
Minimum value | The lowest data value used in the chart. |
Maximum value | The highest data value used in the chart. |
2nd, 3rd, 4th highest | The next three highest values (after the maximum used in the chart). |
SD <n> |
The Standard Deviation (SD) of each population. The SD will be the standard deviation of the Natural Log values if the data has been Ln (Natural Log) transformed. |
Mean | Mean (also known as the arithmetic mean or simple average) is a measure of the central tendency of the sample data. It is defined as the sum of the values (divided by the number of values (n). |
Variance | The observed Variance of a random variable, probability distribution, or sample, is a measure of statistical dispersion, averaging the squared distance of its possible values from the expected value (mean). |
Standard Deviation | This is the sample standard deviation of the values shown on the chart. The Standard Deviation is a measure of the spread of the data (the way in which they differ from the mean). |
Coefficient of variation | The Coefficient of variation is a normalised measure of dispersion of a probability distribution. It is defined as the ratio of the standard deviation to the mean. |
Median |
Median is (like the mean) a measure of the central tendency of the data. If the data is drawn from a normal distribution, the mean and the median will be the same. Where data is highly skewed, the median is often considered to be a better estimator of the most likely value than the mean. The median is defined as the value below which 50% of the data lies. |
Ln mean | Ln mean is the mean of the natural logs of the values in the chart. Geological data is often distributed log-normally. Ln mean |
Ln std deviation | The Ln std deviation is, like its more common counterpart the standard deviation, a measure of the spread of the data. As with the Ln mean it is derived from theory. |
Geometric mean | The Geometric mean is the median value of a log-normal population. As with the median for a Normal population, the geometric mean will be the same as the Ln mean if the data is log-normally distributed. |
Geometric Standard Deviation | The Geometric Standard Deviation describes how spread out are a set of numbers whose preferred average is the geometric mean. |
Sichel’s T Estimator, Sichel's V, Sichel's Gamma | Sichel’s t estimator is another measure of the mean of log-normally distributed data. It is derived using maximum likelihood theory and corrects for the bias in the Ln mean if the number of samples is small. |
Chi-Square Test | Chi-square is a statistical test that measures the goodness of fit of the data. That is, it measures whether the set of data under investigation (the sample) matches the chosen distribution. The distribution to which the data is fitted can be either Normal or Log-normal. |
Degrees of freedom (DF) | Degrees of freedom can be defined as the number of observations in a sample, minus the number of parameters measured from the sample (Davies 1974). What this means in practical terms, is that every time a parameter (such as the mean of a sample of data) is used in a calculation of another value (such as the standard deviation) the number of degrees of freedom will decrease by 1. |