## Moving Average Forecasting

I am trying to calculate forecasted value using moving average. I am getting different result using PROC EXPAND and PROC ARIMA

``````Proc expand data= data1 out= new_mydata;
convert sales = sales_movave / transformout=(movave 3);
run;

proc arima data=WORK.DATA1 plots=none out=WORK.out0001;
identify var=Sales;
estimate p=(1 2 3) ar=(0.3333333333333333 0.3333333333333333
0.3333333333333333) noint method=ULS;
run;
quit;``````

1 ACCEPTED SOLUTION

Accepted Solutions

## Re: Moving Average Forecasting

1. proc expand computes the moving average (movave)  as sales_moave_t = (sales_t-2 + sales_t-1 + sales_t)/3. This is probably not you wanted.

2. proc arima gives you exactly what you are looking for but you need to add a few options to make it work. sales_moave_t = (sales_t-3 + sales_t-2 + sales_t-1)/3

the correct syntax should be

``````proc arima data=WORK.DATA1 plots=none out=WORK.out0001;
identify var=Sales;
estimate p=(1 2 3) ar=(0.3333333333333333 0.3333333333333333
0.3333333333333333) noint noest nostable method=CLS;
run;
quit;``````

Without noest nostable, proc arima will use the provided ar values as the initial values and try to estimate them. Thus you might end up with something that's not equally weighted moving averages.

hope this helps

alex

3 REPLIES 3

## Re: Moving Average Forecasting

@Ujjawal wrote:

I am trying to calculate forecasted value using moving average. I am getting different result using PROC EXPAND and PROC ARIMA

``````Proc expand data= data1 out= new_mydata;
convert sales = sales_movave / transformout=(movave 3);
run;``````

PROC EXPAND doesn't do forecasting.

## Re: Moving Average Forecasting

In your PROC ARIMA statement, p= and ar= specifies AutoRegressive paramters. If you want to do moving average, you need to use q= and MA=. As follows:

``````proc arima data=WORK.DATA1 plots=none out=WORK.out0001;
identify var=Sales;
estimate Q=(1 2 3) MA=(0.3333333333333333 0.3333333333333333
0.3333333333333333) noint method=ULS;
run;
quit;``````

## Re: Moving Average Forecasting

1. proc expand computes the moving average (movave)  as sales_moave_t = (sales_t-2 + sales_t-1 + sales_t)/3. This is probably not you wanted.

2. proc arima gives you exactly what you are looking for but you need to add a few options to make it work. sales_moave_t = (sales_t-3 + sales_t-2 + sales_t-1)/3

the correct syntax should be

``````proc arima data=WORK.DATA1 plots=none out=WORK.out0001;
identify var=Sales;
estimate p=(1 2 3) ar=(0.3333333333333333 0.3333333333333333
0.3333333333333333) noint noest nostable method=CLS;
run;
quit;``````

Without noest nostable, proc arima will use the provided ar values as the initial values and try to estimate them. Thus you might end up with something that's not equally weighted moving averages.

hope this helps

alex

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