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Research Methodology




                    Notes
                                                              Adjusted C.R. × 100
                                   The seasonal index of a quarter =
                                                                     G
                                   Merits and Demerits

                                   This method is less complicated than the ratio to moving average and the ratio to trend methods.
                                   However, this method is based upon the assumption of a linear trend which may not always
                                   hold true.

                                   Remarks:  Looking  at the  merits  and  demerits  of  various  methods of measuring  seasonal
                                   variations, we find that the ratio  to moving average method is most general and, therefore,
                                   most popular method of measuring seasonal variations.

                                   Self Assessment


                                   Fill in the blanks:
                                   16.  If the time series data are in terms of annual figures, the ……………………are absent.
                                   17.  …………………..method is based on the assumption that the trend is linear and cyclical
                                       variations are of uniform pattern.
                                   18.  ………………….method is used when cyclical variations are absent from the data

                                   10.7 Summary

                                      Many types of data are collected over time.

                                      Stock prices, sales volumes, interest rates, and quality measurements are typical examples.
                                      Because of the sequential nature of the data, special statistical techniques that account for
                                       the dynamic nature of the data are required.

                                      A time series is a sequence of data points, measured typically at successive times, spaced
                                       at time intervals.
                                      Time series analysis comprises methods that attempt to understand such time series, often
                                       either to understand the underlying context of the data points, or to make forecasts.
                                      Time series forecasting is the use of a model to forecast future events based on known past
                                       events: to forecast future data points before they are measured.

                                      seasonal variations are likely to be present in data recorded on quarterly or monthly or
                                       weekly or daily or hourly basis.

                                      There are four methods commonly used for the measurement of seasonal variations. They
                                       are: Method of Simple Averages,  Ratio to Trend Method, Ratio to Moving Average Method
                                       and Method of Link Relatives

                                   10.8 Keywords


                                   Mean Squared Error: It is the sum of the squared forecast errors for each of the observations
                                   divided by the number of observations.

                                   Period of  Oscillation:  The time  interval  between the variations  is known  as  the  period  of
                                   oscillation.





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