Quantitiative Techniques (2) Flashcards
What is trend?
The underlying long-term movement over time in values of the data recorded
How can trend be found?
Using moving averages
What are seasonal variations?
Short-term fluctuations in recorded values, due to deifferent circumstances that affect results at different times of the day or week or year or any regularly repeating pattern
What are cyclical variations?
Recurring patterns over a longer period of time, not generally of a fixed nature
What are random variations?
Irregular varations due to rare/chance occurences
What is the additive model?
Components are assumed to add together to give TS
When is the additive model valid?
If the components are independent
What is the multiplicative model?
Components are assumed to multiply together to give TS
When is the multiplicative model useful?
When trend is increasing or decreasing over time because seasonal variation is likely to be increasing or decreasing
What is the use of moving averages?
Main method for calculating a trend from a time series
What does moving averages work?
Averages all of the results of a fixed number of periods and relates to the mid-point of the overall period
How do most appropriate number of periods for a moving average depend on?
Circumstances and nature of the time series
Sum of seasonal variations and additive time series model?
Sum of seasonal variations over the period must equal zero
Sum of seasonal variations and multiplicative time series model?
Sum of seasonal variations must equal the number of periods over which seasonality occurs prior to repeat (e.g. quartely equals 4)
Advantages of time series analysis (Trend lines)
Trend lines can be reviewed and assessed after each period for reliability, possibly leading to improved forecasts with experience