Wavelet Analytical Study of Rural and Urban Education Growth in India

Education is one of the important scales by which development level of a country is expressed. The geographical and social circumstances of rural and urban areas are different; therefore, the levels of education in rural and urban areas are also different. Wavelet transforms is a new and powerful analytical tool which is used to capture time frequency information of a signal/data. The education growth data of India from Jan. 2013 to Aug. 2021 imported from website data.gov.in are taken as raw data. Discrete wavelet transforms of these data are performed using Haar wavelet, decomposition level-5.In wavelet transforms, the data are decomposed into approximation and detail at each decomposition level. Approximation is the part of signal corresponding to the highest scale value and represents average behaviour or trend of the signal, while details represent differential behaviour of the signal corresponding to each decomposition level.Wavelet analysis reveals that overall growth in rural education is slightly greater than that of urban education of India in the recent years.The statistical results are strongly consistent with the wavelet analytical results.