Multiple regression time series modelling

[NewUsrStat]

Hi guys, 

I have to run multiple regression time series modelling on seasonal infection data. 

These data are: hospitalizations of patients with  infections from 3 pathogens across 5 epidemic seasons. I have to model linear trend, secular trend and polynomial trend. 

Specifically, what I have to model is the following (pathogens: virus1, virus2, virus3. Totally 3 pathogens): 

Tier 2 variables (time trends): 

• Linear trend or “βs1t ”
• Seasonal trend or “βs2sin(2πt/52) + βs3cos(2πt/52)”
• Secular polynomial trend or “βs1t + βs2t2+βs3t3”

Tier 3 variables (time lags):

• Time lag (+/- 1 weeks)
• Time lag (+/- 2 weeks)
• Time lag (+/- 3 weeks)

Tier 4 variables (COVID-19 indicator + interactions):

• COVID-19 indicator x Weekly number of virus1 admissions
• COVID-19 indicator x Weekly number of virus2 admissions
• COVID-19 indicator x Weekly number of COVID-19 admissions
• COVID-19 indicator x Weekly number of all other causes admissions

Is there a similar study I can inspire to and available documentation on sas coding/data preparation to deal with this predictions? 

Thank you in advance

[ballardw]

Do you have access to SAS/ETS? That module contains the main time series tools.

If you aren't sure you can run and the log will show installed modules.

proc product_status;
run;

[NewUsrStat]

Thank you for your reply!! This is an important suggestion! I will check!