# Documentation/Calc Functions/FORECAST.ETS.SEASONALITY

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## Function name:

FORECAST.ETS.SEASONALITY

## Category:

Statistical Analysis

## Summary:

Returns the number of samples in period as calculated by Calc in case of FORECAST.ETS functions when argument **period_length** equals 1.

## Syntax:

FORECAST.ETS.SEASONALITY (**values**, **timeline**, [**data_completion**], [**aggregation**])

## Returns:

## Arguments:

**values** (mandatory): A numeric array or range. **values** are the historical values, for which you want to forecast the next points.

**timeline** (mandatory): A numeric array or range. The time line (x-value) range for the historical values.

The time line doesn't have to to be sorted, the functions will sort it for calculations. The time line values must have a consistent step between them. If a constant step can't be identified in the sorted time line, the functions will return the #NUM! error. If the ranges of the time line and historical values aren't of same size, the functions will return the #N/A error. If the time line contains less than 2 periods of data, the functions will return the #VALUE! Error.

**data_completion** (optional): a logical value TRUE or FALSE, a numeric 1 or 0, default is 1 (TRUE). A value of 0 (FALSE) will add missing data points with zero as historical value. A value of 1 (TRUE) will add missing data points by interpolating between the neighboring data points.

Although the time line requires a constant step between data points, the function support up to 30% missing data points, and will add these data points.

**aggregation** (optional): A numeric value from 1 to 7, with default 1. The aggregation parameter indicates which method will be used to aggregate identical time values:

Aggregation | Function |
---|---|

1 | AVERAGE |

2 | COUNT |

3 | COUNTA |

4 | MAX |

5 | MEDIAN |

6 | MIN |

7 | SUM |

Although the time line requires a constant step between data points, the functions will aggregate multiple points which have the same time stamp.

## Additional details:

Exponential Smoothing is a method to smooth real values in time series in order to forecast probable future values.

Exponential Triple Smoothing (ETS) is a set of algorithms in which both trend and periodical (seasonal) influences are processed. Exponential Double Smoothing (EDS) is an algorithm like ETS, but without the periodical influences. EDS produces linear forecasts. Tip Icon

See the Wikipedia on Exponential smoothing algorithms for more information.

The same result is returned with FORECAST.ETS.STAT functions when argument **stat_type** equals 9 (and **period_length** equals 1).

## Examples:

The table below contains a timeline and its associated values:

A | B | |
---|---|---|

1 | Timeline | Values |

2 | 01/2013 | 112 |

3 | 02/2013 | 118 |

4 | 03/2013 | 132 |

5 | 04/2013 | 100 |

6 | 05/2013 | 121 |

7 | 06/2013 | 135 |

8 | 07/2013 | 148 |

9 | 08/2013 | 148 |

10 | 09/2013 | 136 |

11 | 10/2013 | 119 |

12 | 11/2013 | 104 |

13 | 12/2013 | 118 |

=FORECAST.ETS.SEASONALITY(**Values**;**Timeline**;TRUE();1)

Returns 6, the number of samples in period based on **Values** and **Timeline** named ranges above, no missing data, and AVERAGE as aggregation.

## Related LibreOffice functions:

FORECAST

FORECAST.ETS.ADD

FORECAST.ETS.MULT

FORECAST.ETS.PI.ADD

FORECAST.ETS.PI.MULT

FORECAST.ETS.STAT.ADD

FORECAST.ETS.STAT.MULT

FORECAST.LINEAR