Smoothing a Time Series Using Moving Means (VCE SSCE General Mathematics): Flashcards
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Practise the cards
10 cards from this deck
Purpose of smoothing in time series
Purpose of smoothing in time series
Reduce irregular fluctuations to reveal underlying trends
Moving mean smoothing method
Moving mean smoothing method
Replace data points with average of it & neighbouring points
Points lost with three-moving mean
Points lost with three-moving mean
First and last points
Points lost with five-moving mean
Points lost with five-moving mean
First two and last two points
Effect of more data points in moving mean
Effect of more data points in moving mean
Smoother line (reduces impact of unusual values)
When centring is required
When centring is required
When using even number of data points (2, 4, 6, etc.)
What is centring
What is centring
Taking two-moving mean of already smoothed values
Values needed for 4-moving mean with centring
Values needed for 4-moving mean with centring
Five data values
Values needed for 6-moving mean with centring
Values needed for 6-moving mean with centring
Seven data values
Trade-off of using more points in moving mean
Trade-off of using more points in moving mean
More data points lost at beginning and end of series