In: Statistics and Probability
What is a business problem in business management that could be solved using a forecasting solution? State what the issue is and how forecasting could aid in solving this problem, and the type of data that would be need to collect to solve this problem. Would there possibly be seasonal or trend factors in forecasts?
Challenges in business forecasting, such as increasing accuracy
and reduc-
ing bias, are best met through effective management of the
forecasting
process. Effective management, we believe, requires an
understanding
of the realities, limitations, and principles fundamental to the
process. When
management lacks a grasp of basic concepts like randomness,
variation, uncer-
tainty, and forecastability, the organization is apt to squander
time and resources
on expensive and unsuccessful fixes: There are few other endeavors
where so
much money has been spent, with so little payback.
This chapter provides general guidance on important considerations
in the
practice of business forecasting. The authors deal with:
■ Recognition of uncertainty and the need for probabilistic
forecasts
■ The essential elements of a useful forecast
■ Measurement of forecastability and bounds of forecast
accuracy
■ Establishing appropriate benchmarks of forecast accuracy
■ The importance of precisely defining demand when making demand
forecasts
■ Guidelines for improving forecast accuracy and managing the
forecasting function.
The first problem is that, if we take the error measure over
just one period
(say, the next period), we may be lucky and forecast the value
exactly, giv-
ing a forecast error of zero. Clearly, such luck is not sustainable
over the long
term. To overcome this difficulty, we can amend the definition of
forecast-
ability to “the lowest level of forecast error that is achievable,
on average, in
the long run.”
This definition of forecastability is not restricted to one
particular error
measure but can be applied to any forecast error metric for which
the word
smallest is interpreted appropriately. Nor is this definition of
forecastability
restricted to a “basic time-series method”.
A second problem: The definition depends on the achievement of
the
smallest forecast error. It is possible that a series is difficult
to forecast and will
yield high forecast errors unless a particular method is
identified, in which
case the forecast errors are small. In cases such as these, it
would be helpful to
specify both a lower bound and an upper bound on forecast
errors.
Forecasting with seasonality and a trend is obviously more
difficult than forecasting for a trend
or for seasonality by itself, because compensating for both of them
is more difficult than either one
alone.
There are other methods a person could find to use for taking into
account both a trend and
seasonality, but the approach we will follow is the
following:
1. Estimate the amount of seasonality - the seasonal relatives (or
factors or indices)
2. Estimate the trend (the rate demand is growing at)
3. Make a straight-line prediction of future demand
4. Adjust straight-line projection for seasonality to get a
seasonalized forecast.