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Research Methodology




                    Notes          There are two methodologies to anticipate future. They are called qualitative and quantitative.
                                   But both start with the same premise, that an understanding of the future is predicted on an
                                   understanding of the past and present environment. In this unit,  we will mainly deal with
                                   quantitative methods. We will also distinguish  between forecast and prediction.  We use the
                                   word forecast when some logical method is used.
                                   The quantitative decision maker always considers himself or herself accountable for a forecast—
                                   within reason. Let us look at the conceptual model first and then the mathematical model and
                                   algorithms in turn which are used for making forecast.

                                   10.1 Time Series Analysis

                                   Time has strange, fascinating and little understood properties. Virtually every process on earth
                                   is determined by a time variable. One of the most frequently encountered managerial decision
                                   situations involving forecasting is to measure the effect that time has on the sales of a product,
                                   the market price of a security, the output of individuals, work shifts, companies, industries,
                                   societies and so on. A fundamental conceptual model in all of these situations is the product life
                                   cycle concept which goes through four stages – introduction, growth, maturity and decline. Let
                                   us look at this concept in greater detail before we apply it.
                                   Figure 10.1 depicts various stages in the life of a product. The sales performance of this product
                                   goes  through the four stages—introduction, growth, maturity  and decline.  Data have been
                                   plotted and regression lines fitted to each of the four environments. Thus, when a sales forecast
                                   is made and the target horizon falls within the same stage, the linear fit yields valid results. If,
                                   however, the target horizon falls into a future stage, a linear forecast may be erroneous. In this
                                   case a curve should be fitted as shown. It is usually lightly speculative to select a forecasting
                                   horizon that spans more than two stages.
                                                             Figure  10.1:  Product  Life-cycle
                                                 Sales
                                                                      Maturity
                                                                                  Decline

                                                                  Growth








                                                          Introduction
                                                                                             Time
                                   Another point of interest is the behaviour of the sales variable over the short run. It fluctuates
                                   between a succession of peaks and troughs. How do these come about? In order to answer this
                                   question, the time series, must be decomposed. Then four independent motors for this behaviour
                                   become visible. First there is a  long-term or secular trend (T) which is primarily  noticeable
                                   within each stage of the cycle and over the entire cycle. Secondly cyclical variations (C) which
                                   are caused by an economy’s business cycles affect product sales. Such cycles, whose origins are
                                   little understood, exist for all economies. Thirdly the product’s sales may be influenced by the
                                   seasonality (S) of the item, and finally there may be the irregular (I) effects of inclement such as
                                   weather, strikes and so forth. In equation form the decomposed time series appears as TS = T +
                                   C + S + I.



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