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Research Methodology




                    Notes          Column (6) shows the seasonal effect of this decision variable—share trading  on the  Stock
                                   Exchange. Regardless of heavy or light daily volume, the first hour volume is the heaviest by
                                   far. It is 7.4% above what may be considered average trading volume for any given day. Keep in
                                   mind that a very limited data set was used in this analysis and while the season, reaching its low
                                   point between 1 and 2 p.m., is generally correctly depicted, individual index members may be
                                   exaggerated. What managerial action programs would result from an analyses such as this?
                                   Would traders go out for tea and samosas between 10-11? How about lunch between 1-2? When
                                   would brokers call clients with hot or lukewarm  tips? Assuming that a decrease in  volume
                                   means a decrease in prices in general during the trading day, when would a savvy trader buy?
                                   When would he sell? Think of some other intervening variables and you have yourself a nice
                                   little bull session in one of Dalal Street’s watering holes. If, in addition, you make money for
                                   yourself or firm, then, you have got it.

                                   Non-linear Analysis

                                   Any number of different curves may be fitted to a data set. The most widely used program in
                                   computer libraries, known as CURFIT, offers a minimum of 5 curves plus the straight line. The
                                   curves may differ from program to program. So, which ones are the “best” ones? There is no
                                   answer. Every forecaster has to decide individually about his pet forecasting tools. We  will
                                   discuss and apply three  curves in this section.  They appear  to be promising decision  tools
                                   especially in problem situations  that in some way  incorporate the life cycle concept and  the
                                   range of such problems is vast, indeed.
                                   If you take a look again at Figure 10.2, you see that three curves have been plotted. As we know
                                   from many empirical studies, achievement  is usually normally distributed. Growth, on the
                                   other hand, seem to be exponentially distributed. The same holds true for decline. As the life
                                   cycle moves from growth to maturity, a parabolic trend may often be used as the forecasting
                                   tool. These are two of the curves that will be considered. The third one is related to the exponential
                                   curve. As you look at the growth stage and mentally extrapolate the trend, your eyes will run off
                                   the page. Now, we know—again from all sorts of empirical evidence—that trees don’t grow
                                   into the high heavens. Even the most spectacular growth must come to an end. Therefore, when
                                   using the exponential forecast, care must be taken that the eventual ceiling or floor ( in the case
                                   of a decline) are not overlooked. The modified exponential trend has the ceiling or floor build
                                   in. It is the third curve to be discussed.

                                   One final piece of advice before we start fitting curves. If you can do it by straight line, do it. For
                                   obvious reasons, just look at Figure 10.2, any possible error—and there is always a built-in five
                                   percent chance—is worse when a curve is fitted. By  extending the planning and  forecasting
                                   horizon over a reasonable shorter period rather than spectacular but dangerous longer period,
                                   the straight line can serve as useful prediction tool.

                                   The Parabola Fit

                                          The parabola is defined by
                                                                   y  = a + bx + cx 2
                                                                    c
                                   Where a, b and c are constants a and b have been dealt. c can be treated as acceleration. The
                                   normal equations are (method of least square).
                                                   Sy =  na + bSx +cSx 2
                                                               2
                                                  Sxy = aSx + bSx  + cSx 3
                                                                3
                                                    2
                                                           2
                                                  Sx y = aSx  + bSx  + cSx 4


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