Abstract

The relationship between variables is vital in data analysis. The scatter plot, for instance, gives an easy preliminary exploratory analysis for finding relationship between two variables, if any. Statistical method such as correlation and linear relationship are standard tools in most statistical packages. For circular variables that take value on the circumference of a circle, the analysis however is different from those of the Euclidean type variables because circumference is a bounded closed space. Unlike linear variable, standard statistical packages for circular variables are limited. This paper proposes a graphical representation of two circular variables as a preliminary analysis using the MATLAB environment. A plot called Spoke plot is developed to visually display relationship between two circular variables and linear correlation. As an illustration, the Malaysian wind data is used in the analysis. This new type of representation promises an alternative approach in the preliminary analysis of circular data.

Highlights

  • Analysis between two circular variables are developed

  • By interfacing with the existing softwares, this analysis could enhance the exploratory analysis of circular variable with respect to software development

  • This paper will focus on the analysis of two circular variables

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Summary

Circular data

Data on the angular displacements, directional propagations and in general periodic occurrence can be casted within the framework of directional or circular data. Circular data is one which takes values on the circumference of a circle, i.e. they are angles in the range of (0,2π ) radians or (00,3600). To analyze this type of data, we must use techniques differing from those of the usual Euclidean type variables because the circumference is a bounded closed space, for which the concept of origin is arbitrary or undefined. The techniques that have been used for continuous linear data cannot be applied for circular data. Continuous linear data are realized on the straight line or real line which may be analyzed straightforwardly by usual statistical techniques

Analysis between two circular variables
Correlation between circular variables
Linear Association between two circular variables
Diagrammatical representation of two circular variables
Source of data
Result and findings
Conclusion
Full Text
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