Skip to main content
3 of 10
added 124 characters in body
IrishStat
  • 30k
  • 5
  • 36
  • 60

There is a very clear pattern in the data as shown here enter image description here . Your 20 values are adequately described by a hybrid model using an AR(1) and a step/level shift along with 3 pulses . enter image description here and here enter image description here and here enter image description here

The tools (approaches) that you were considering are presumptive in form whereas your data has it's own message. This data has not only a strong memory but has been affected by external activity causing the step.level shift and the 3 pulses.

here are the forecasts for the next 13 periods enter image description here

The method used here to form the model is called Intervention Detection as detailed here and everywhere else http://docplayer.net/12080848-Outliers-level-shifts-and-variance-changes-in-time-series.html . Search SE for "INTERVENTION DETECTION" . It might behoove you to investigate the true cause of the level/step shift in order to more intelligently forecast this series.

Here is the Actual and Cleansed plot enter image description here

The reason that arima (memory) doesn't work (alone) is that there is determinstic structure in the data .

IrishStat
  • 30k
  • 5
  • 36
  • 60