function processInvites() {
  var calendar = CalendarApp.getCalendarById("mycalendar@google.com");
  var now = new Date();
  var then = new Date(now.getTime() + (1000 * 60 * 60 * 24 * 7));
  var events = [];

  var loopEvents = calendar.getEvents(now, then);

  if(loopEvents.length > 0){
    for(j in loopEvents){
      if(loopEvents[j].getMyStatus() == CalendarApp.GuestStatus.INVITED){
        //if this event has no notes
        if(loopEvents[j].getDescription() == ""){
          loopEvents[j].setMyStatus(CalendarApp.GuestStatus.NO);
        }
      }
    }
  }
};

function processInvites() {

    var cal = CalendarApp.getCalendarById("yourcalendar@google.com"),
        now = Date(),
        then = new Date(now.getTime() + (1000 * 60 * 60 * 24 * 7));

    cal.getEvents(now, then).forEach(function(event) {

        if (event.getMyStatus() == CalendarApp.GuestStatus.INVITED && event.getDescription() == "") {

            event.setMyStatus(CalendarApp.GuestStatus.NO);

        }

    });

}

// `start` < `end`; invites present in `calendar` between `start` and `end`
var events = calendar.getEvents(start, end);
var invitesPresent = false;
for (i = 0; i < events.length; i++) {
  if (event.getMyStatus() == CalendarApp.GuestStatus.INVITED) {
    invitesPresent = true;
    break;
  }
}

var invites = calendar.getEvents(start, end, {statusFilters: [CalendarApp.GuestStatus.INVITED]});
if (invitesPresent) {
  Logger.log(invites.length > 0); // false
}