There is no way of knowing if you are on the "Selectee" list. The Department of Homeland Security states on their website :
How do I know if I am on a Government Watchlist?
Because revealing
watchlist status could allow terrorist organizations to circumvent the
watchlist’s purpose by permitting them to determine in advance which
of their members are likely to be questioned or detained, the U.S.
government’s general policy is to neither confirm nor deny a person’s
watchlist status, except in very limited circumstances involving the
No Fly List.
Note that being on the "Selectee" list will generally NOT impact your ability to travel to or within the US - it simply means that you will be required to undergo additional security screening before boarding some or all flights. It may also have an impact on your ability to check-in online, or to receive 'TSA Pre' access for other flights.
Having 'SSSS' on your boarding pass can occur regardless of your citizenship, or how you are entering the US (eg, VWP/ESTA, Visa, or even if you're a US citizen).
Whilst it's not possible to know if you are on such a list, it is possible to (in effect) get yourself removed from it. The DHS has a process called the "Traveler Redress Inquiry Program", or DHS TRIP. Despite the word "inquiry" in the name, this program does not allow you to inquire about your status, but instead gives you a path to request DHS to carry out additional investigation into you and the reason you have been given SSSS on a boarding pass. Based on their investigation, you may be removed from the Selectee or other lists.
As a part of the TRIP process you will give given a "Redress" number which can be given to the airline, and allows DHS to match you to the outcome of the TRIP process. eg, if you were on the list due to sharing a name/birthday with a known terrorist, then this number allows them to differentiate between you and that person when you are flying.
I suspect (but as mentioned above, have no way of proving!) that I was on the Selectee list for a while. I received SSSS on my boarding pass on every single flight into the US for a period of over half a year (a total of about 7 flights). After going through the TRIP process and getting my Redress number, I have only received SSSS on one additional flight in the past 6+ years, and I suspect that one was truly a "random" selection.