In contrast to the continuous depiction of quantities, the depiction of intervals requires the separation of the underlying values into data classes. This classification, however, results in information loss. For this reason, the depiction of intervals should be only used as a secondary option after the continuous depiction of quantities. According to Spiess (1995), the depiction of intervals can make sense in the following cases:
Similar to the case of the continuous depiction of quantities, the depiction of
intervals can likewise be subdivided into a proportionally graduated variant and an
arbitrarily graduated variant.
The data to be depicted and their spreading form the basis for the choice of which variant is to be used.
The following chapter deals with the intense and the graduated depiction of quantities. Afterwards, the classification steps are discussed.
The simplest method to analyse statistical data is called line lists. These can then be visualised using a frequency diagram. Frequency diagrams form a good basis to classify the data in a next step. The following visualisation depicts a frequency diagram included possible class boundaries (red).
The number of classes, the class boundaries as well as the width of the interval play an important role in classification. The map image and the statement of the map depend on the choice of these parameters. Therefore, care has to be taken during classification. The following rules should then be followed:
The number of classes depends on the size of the dataset as well as on the signature which should represent the attribute. A too big number of classes, therefore, does not yield the necessary generalisation of the data. If the number of classes is too low, many information vanish due to generalisation. The exact number of recommended classes varies depending on the point of view. From the viewpoint of a statistician, 6 to 8 and 10 to 12 classes for single-coloured and multicoloured visualisations are recommended (Quitt 1997). From a cartographer's viewpoint, 3 to 7 classes are recommended according to Imhof (1972).
Click here to enlarge the animation.
The most important criterion, which is to be considered during classification are the original data. Depending on their distribution different class sizes and interval widths are suitable. In general, classification can be performed according to the following principles:
The following interaction shows the three principles.
Further information on classification in general and the methods for classification according to mathematical rules in particular can be found in the GITTA lecture Statistics for Thematic Cartography in Chapter 1.2. and 1.3. The pdf version can be found here.
Graduated depictions of quantities can be used for data of nominal, ordinal and metric scales. In addition, absolute and relative values can be depicted. In the following interaction, three examples are shown of how different data can be mapped after classification.