Relating to or involving the measurement or analysis of quantities or amounts
Forecasting
The process of making predictions of the future based on past and present data and most commonly by analysis of trends
Overview of quantitative methods
Time series models
Associative models
Time series models
Forecast based only on past values
Assumes that factors influencing past and present will continue influence in future
Future is a function of the past
Time series
A set of evenly spaced numerical data obtained by observing response variable at regular time periods (weekly, monthly, quarterly and so on)
Additive model
Incremental in effect, Yi = Ti + Si + Ci + Ri
Multiplicative model
Exponential in effect, Yi = Ti · Si · Ci · Ri
Time series components
Trend
Seasonal
Cyclical
Random
Naive approach
Simplest approach; Assumes demand in next period is the same as demand in most recent period OR follows the same pattern based on a defined component
Moving averages
Uses an average of the n most recent periods of historical data to forecast the next period
Exponential smoothing
Uses a smoothing constant (α) - the higher the value, the more sensitive your forecast becomes to more recent periods
Trend projection
Technique developed to correct the failure of the simple exponential smoothing to respond to trends by adding trend adjustments
Time-series models are analysis based on the idea that the history of occurrences over time can be used to predict the future
Associative models
Tries to understand the system underlying and surrounding the item being forecasted (e.g., sales maybe affected by advertising, quality, & competitors)
Associative models
Regression analysis
Econometric model
Input/output models
Leading indicators
Box Jenkins technique
Shiskin time series
Simple moving average
Uses an average of the n most recent periods of historical data to forecast the next period
Weighted moving average
Used when trend is present; Assumption is that older data usually less important, which means they are assigned smaller weights
Disadvantages of moving average methods
Requires much historical data
Increasing n smooths out fluctuations, makes forecast less sensitive to real changes
Does not forecast trend well
Weights dictate the sensitivity to changes in trends, cycles, and seasons
Evaluating the Smoothing Constant (α) affects the reaction rate of the forecasted values to the changes experienced by the historical demand data
Exponential smoothing with trend adjustment
Technique developed to correct the failure of the simple exponential smoothing to respond to trends by adding trend adjustments
Trend Component
represented as the long term movement in a time series, absent of any effect of calendar events or irregular factors
Seasonal Component
represented by regular up or down fluctuations caused by systematic calendar related influences such as weather or natural conditions, culture, customs, or yearly events
Cyclical Component
Events that also happen in a recurring manner. Contrary to seasons, cycles are not calendar related or have a specific timing and can last more than one calendar year.
Random Component
shifts in the demand that are unpredictable, erratic, unsystematic and irregular