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RSF User\'s Guide - Plot the Time Series Data

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Plot the Time Series Data

This function is probably the most often used function. It enables the user to show the time series by means of:

bulletsummarizing statistics
bulleta printed list of all observations (outliers are marked)
bulleta summary of outliers and extreme values
bulleta stem-and-leaf plot
bulleta chart of the time plot

Click the Time plot button in the RSF Toolbar:

This is the Time plot button

This is the RSF toolbar

Alternatively, you also may submit the command "timeplot"

Statistics

The summarizing statistics may look like this:

L:\ResaTest\Student\Airline.db by time



d = 0 D = 0 L = 1



Number of observations         = 144 (# observations lost = 0)

Median of Time Series          = 265,500000 * 1000 Units

2 Sided Trimmed Mean at 5%     = 275,606299 * 1000 Units

2 Sided Trimmed Mean at 10%    = 272,433628 * 1000 Units

2 Sided Trimmed Mean at 15%    = 270,515152 * 1000 Units

Mean of Time Series            = 280,298611 * 1000 Units

SE of Mean of Time Series      =  10,032087 

T-STAT of Mean of Time Series  =  27,940208 

SE of Time Series              = 119,966317 

Mean without suspect values    = 280,298611 * 1000 Units

SE of Mean of Time Series      =  10,032087 

T-STAT of Mean of Time Series  =  27,940208 

SE without suspect values      = 119,966317 

Minimum value of Time Series   = 104,000000 * 1000 Units

Maximum value of Time Series   = 622,000000 * 1000 Units

Minimum without suspect values = 104,000000 * 1000 Units

Maximum without suspect values = 622,000000 * 1000 Units

Observe how the mean of the time series is significantly different from zero (the mean is 27.9 times larger than its Standard Error). The time series under investigation has not been transformed or differenced:

bulletd is the order of non-seasonal differencing. If d = 0, no non-seasonal differencing is applied.
bulletD is the order of seasonal differencing. If D = 0, no seasonal differencing is applied.
bulletL is the transformation parameter l: if L = 1, no Box-Cox transformation is applied.

Values

The time series values are listed, and if case the time series is stationary the outliers are marked (with a * symbol):

Observation  Value in Units * 1000



 1962/1      112,000000

 1962/2      118,000000

 1962/3      132,000000

 1962/4      129,000000

 1962/5      121,000000

 1962/6      135,000000

 1962/7      148,000000

 1962/8      148,000000

 1962/9      136,000000

 ...         ...

Since this time series is non-stationary, no outliers, nor extreme values are marked.

Summary of outliers and extreme values

If the time series is non-stationary, no outliers, nor extreme values are reported.

Summary of extreme values:



Values > 2 S.E. at : 





Values <-2 S.E. at : 





Values > 3 S.E. at : 





Values <-3 S.E. at : 

Stem-and-Leaf Plot

The Stem-and-Leaf Plot provides you with quasi-visual impression of the density of the time series:

  Explorative Data Analysis: Stem and Leaf Plot

     unit = 10

  1  2  represents 120





   23         1* 01111112222333334444444

   48          . 5566677777778888889999999

   69         2* 000011222233333333444

( 13)          . 5666677777789

   62         3* 000001111111133444444

   41          . 5555666667999

   28         4* 0000001112233

   15          . 66666779

    7         5* 0034

    3          . 5

    2         6* 02

Chart of the time series

The chart of the time series is displayed as a picture (jpg format):

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