Identification of Seasonal Effects through Ratio to
Moving Average Method for the Number of Train
Passengers and Income of South Central Railway
Zone

M. Sailaja; A. Rajendra Prasad

doi:https://doi.org/10.14445/22315373/IJMTT-V65I11P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 11 | Year 2019 | Article Id. IJMTT-V65I11P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I11P513

Identification of Seasonal Effects through Ratio to Moving Average Method for the Number of Train Passengers and Income of South Central Railway Zone

M. Sailaja, A. Rajendra Prasad

Abstract

Earlier [9,10 and 11] the authors worked on Trend effects and Seasonal effects on number of passengers and income of South Central Railway Zone for the data collected from 2009 to 2017. While calculating trend values [9] we have used different linear and non-linear models like Straight line, Parabola, Exponential and Power curve models. Similarly to determine Seasonal effects [10] we have used Simple Averages Method and Ratio to Trend Method [11]. Now we proceed to determine Seasonal effects through an improved method over Simple Averages and Ratio to Trend Method namely ‘Ratio to Moving Average Method’. Conclusions are drawn based on the results obtained.

Keywords

Ratio to Moving Average Method, Simple Averages Method, Ratio to Trend Method, Seasonal effects, Trend effects.

References

[1] Gupta S.C. and Kapoor V.K., “Fundamental of Mathematical Statistics”, New Delhi: S. Chand Company (2000).
[2] Gupta S.C. and Kapoor V.K., “Fundamental of Applied Statistics”, Third Edition. NewDelhi:S.Chand Company (2000).
[3] Parimal Mukhopadhyay, “Applied Statistics”, New Delhi: New Central Book Agency.
[4] Daroga Singh & F.S. Chowdhary, “Theory & Analysis of Sample Survey designs”, New Delhi: Wiley Eastern India.
[5] C.R.Rao, "Linear Statistical Inference and its Applications".
[6] F.A.Graybill,"An Introduction to Linear Statistical Model”.
[7] Glutman, "Linear Models –An Introduction".
[8] N.R. Draper and H. Smith,"Applied Regression Analysis”.
[9] Sailaja M, Rajendra Prasad A, “Preliminary Statistical Analysis of South Central Railway Zone Income and Passengers – A Case Study”,
[10] International Journal of Scientific Research in Mathematics and Statistical Science,Vol.6, Issue.4, August (2019), pp.49-57.
[11] Sailaja M, Rajendra Prasad A, “DETERMINATION OF SEASONAL EFFECTS ON THE NUMBER OF TRAIN PASSENGERS AND INCOME IN
[12] SOUTH CENTRAL RAILWAY ZONE”, Compliance Engineering Journal, Vol.10, Issue.10, October (2019,) pp.332-338.
[13] Sailaja M, Rajendra Prasad A, “Determination of Seasonal Effects through Ratio to Trend Method for the Number of Train Passengers and Income in South Central Railway Zone”, Journal of Information and Computational Science, Vol.9 , Issue.10, 2019, pp.834-840.

Citation :

M. Sailaja, A. Rajendra Prasad, "Identification of Seasonal Effects through Ratio to Moving Average Method for the Number of Train Passengers and Income of South Central Railway Zone," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 11, pp. 121-129, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I11P513