JAMC
A Comparative Statistical Analysis of Two Popular Indian Patriotic Songs
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Abstract
Pressing the keys of a piano randomly does not create music. Music is
created only when there is a pattern in the musical notes. This pattern gets
embedded in the corresponding musical data, numerical in character. Given that statistics
is the science of exploring and studying patterns in numerical data, we are
motivated to perform a statistical analysis, with special emphasis on modeling wherein
lies the strength of statistics, of one of India’s patriotic songs ‘Aye Mere
Watan Ke Logo’. There is also a comparative study done with India’s National
Anthem Jana Gana Mana. The experimental results are quite interesting. Scatter
plot plotted between these two patriotic songs shows that the two songs are entirely
different from each other. Apart from modeling, there are other comparative studies
done through Information Content and Box plot. For India’s National Anthem, note
A has the highest Information content of 4.7116. In case of ‘Aye Mere Watan Ke
Logo’, note E has the highest Information content of 6.0371. The note E has the highest probability for India’s National Anthem as
compared to the note G for Aye Mere Watan Ke Logo. From Box plot we get
that India’s National Anthem is positively skewed whereas Aye Mere Watan Ke Logo
is approximately symmetric. But it is quite interesting to note that, despite the
aforesaid differences, both the songs can be approximated by the same time series
model to a fair degree of accuracy.
References
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[8] https://en.wikipedia.org/wiki/Scatter_plot accessed on 3.9.18.
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How to cite this paper
A Comparative Statistical Analysis of Two Popular Indian Patriotic Songs
How to cite this paper: Arshi Rahman, Soubhik Chakraborty. (2021) A Comparative Statistical Analysis of Two Popular Indian Patriotic Songs. Journal of Applied Mathematics and Computation, 5(4), 361-372.
DOI: http://dx.doi.org/10.26855/jamc.2021.12.015
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