originalSwitch.js

switch (invite.inviteType) {
  case "connection":
      inviteAction([invite], 'ignore').done(function () {
          self.invitations.remove(invite);
          TP.alert({ text: "Invite ignored!" });
      });
      return;
  case "equipment":
      GET({ url: '/ajax/equipment/invite-ignore', data: { inviteId: invite.id } }).done(function () {
          self.invitations.remove(invite);
          TP.alert({ text: "Invite ignored!" });
      });
  case "project":
      GET({ url: '/ajax/projects/invite-ignore', data: { inviteId: invite.id } }).done(function () {
          self.invitations.remove(invite);
          TP.alert({ text: "Invite ignored!" });
      });
      return;
}

refactored.js

var inviteTypes = {
    connection: function() {
        inviteAction([invite], 'ignore').done(function () {
            self.invitations.remove(invite);
            TP.alert({ text: "Invite ignored!" });
        });
    },
    equipment: function() {
        GET({ url: '/ajax/equipment/invite-ignore', data: { inviteId: invite.id } }).done(function () {
            self.invitations.remove(invite);
            TP.alert({ text: "Invite ignored!" });
        });
    },
    project: function() {
        GET({ url: '/ajax/projects/invite-ignore', data: { inviteId: invite.id } }).done(function () {
            self.invitations.remove(invite);
            TP.alert({ text: "Invite ignored!" });
        });
    }
};

inviteTypes[invite.inviteType]();