# The Excel Forecast.Ets.Stat Function

Related Function:
Forecast.Ets

## Function Description

The Excel Forecast.Ets.Stat function calculates a specified statistical value, relating to a time series forecasting.

The syntax of the function is:

FORECAST.ETS.STAT( values, timeline, statistic_type, [seasonality], [data completion], [aggregation] )

where the function arguments are:

values - The array of historical known values corresponding to an array of dates/times.
timeline -

The independent array of dates/times, corresponding to each of the values.

This must satisfy the following:

• The timeline array must have the same length as the values array;
• The dates/times in the timeline must have a consistent step length between them, although:
• Up to 30% of points may be missing and dealt with, according to the value of the [data completion] argument.
• There may be duplicates in the timeline, whose corresponding values will be aggregated, as defined by the [aggregation] argument.
• The dates/times in the timeline can be in any order.
statistic_type -

A numeric value, indicating which statistical value is to be returned.

This must be an integer between 1 and 8, meaning:

statistic_type Statistic Returned
1 Alpha parameter of ETS algorithm
2 Beta parameter of ETS algorithm
3 Gamma parameter of ETS algorithm
4 MASE metric
5 SMAPE metric
6 MAE metric
7 RMSE metric
8 Step size detected
[seasonality] -

An optional argument indicating the algorithm that should be used to detect seasonality in the data.

If supplied, this must be a positive integer between 0 and 8784, meaning:

[seasonality] Algorithm
0 No seasonality (i.e. use the linear algorithm for the forecast).
1 (or omitted) Automatically calculate the seasonality and use positive, whole numbers for the length of the seasonal pattern.
integer ≥ 2
& ≤ 8784
Use patterns of this length as the seasonality.
[data completion] -

An optional argument specifying how the algorithm should handle missing points in the timeline.

If supplied, the [data completion] argument can have the value 0 or 1 meaning:

[data completion] Algorithm
0 Treat missing points as having the value zero.
1 (or omitted) Calculate the value for missing points to be the average of the neighbouring values.
[aggregation] -

An optional argument specifying how the algorithm should aggregate values that have the same timestamp.

If supplied, this can be any integer between 1 and 7 meaning:

[aggregation] Aggregation Method
1 (or omitted) Average
2 Count
3 Counta
4 Max
5 Median
6 Min
7 Sum

Note: The Forecast.Ets.Stat function was first introduced in Excel 2016, so is not available in earlier versions of Excel. It is also not available in Excel 2016 for Mac.

## Excel Forecast.Ets.Stat Function Example

A B
1 Month Earnings
2 Jan-2015 879
3 Feb-2015 1259
4 Mar-2015 1230
5 Apr-2015 1471
6 May-2015 1638
7 Jun-2015 1371
8 Jul-2015 1562
9 Aug-2015 1526
10 Sep-2015 1125
11 Oct-2015 1340
12 Nov-2015 830
13 Dec-2015 726
14 Jan-2016 917
15 Feb-2016 1028
16 Mar-2016 1449
17 Apr-2016 1225
18 May-2016 1437
19 Jun-2016 1637
20 Jul-2016 1345
21 Aug-2016 1148
22 Sep-2016 1075
23 Oct-2016 928
24 Nov-2016 852
25 Dec-2016 752
26 Jan-2017 989
27 Feb-2017 1304
28 Mar-2017 1192
29 Apr-2017 1265

The above spreadsheet on the right shows a set of monthly earnings between Jan-2015 and Apr-2017. These values are plotted in the chart below:

The Forecast.Ets function has previously calculated the forecast earnings for May 2017 to be 1461.632054.

The Excel Forecast.Ets.Stat function can be used to return statistical information relating to this forecast. For example, in order to return the Alpha parameter of the ETS algorithm:

=FORECAST.ETS.STAT( B2:B29, A2:A29, 1 )

which gives the result 0.126.

If you want to return the step size detected by the ETS algorithm:

=FORECAST.ETS.STAT( B2:B29, A2:A29, 8 )

which returns the value 31.

For further details of the Excel Forecast.Ets.Stat function, see the Microsoft Office website

## Forecast.Ets.Stat Function Errors

If you get an error from the Forecast.Ets.Stat function, this is likely to be one of the following:

Common Errors
 #N/A - Occurs if the supplied values and timeline arrays have different lengths. #NUM! - Occurs if either: A consistent step size cannot be identified in the dates/times of the supplied timeline; The supplied statistic_type value is not within the valid range 1 - 8; The supplied [seasonality] value is not within the valid range 0 - 8784; The supplied [data completion] is not equal to 0 or 1; The supplied [aggregation] value is not within the valid range 1 - 7. #VALUE! - Occurs if one or more of the supplied statistic_type, [seasonality], [data completion] or [aggregation] arguments is non-numeric.