I've only ever done this on a desktop because I have never needed to create a map on a tablet. But, on ArcGIS 10.2.2 Desktop you have to:
1) Sign in and select 'File' --> 'Share As'-->'Service...'.
2) Select 'Publish a service' from the list on the first page. Click OK.
3) Select 'My Hosted Services...' from the drop down menu under 'Choose a Connection'. Click Continue.
4) On the Service Editor page: in the 'Capabilities' tab Check 'Feature Access' to turn it on and uncheck 'Tiled Mapping' to turn it off.
5) In the 'Feature Access' tab, allow all operations* by checking the boxes beside them.
6) Fill out the required information on the 'Item Description' tab.
7) Click 'Publish' in the upper-right corner.
Once this finishes, log on to AGOL in your web browser.
1) Find the data set that you uploaded and add it to a new map.
2) Save the new map.
That's it, you can now open your new map in Collector.
Collector accesses maps, not data files, in ArcGIS Online. So, if you want to access the feature class you just uploaded using the 'Share As' tool, you have to add the feature layer(s) to an AGOL map after the feature class has been uploaded.
- In the 'Feature Access' tab under 'Operations allowed:'
Create allows new features to be created in collector.
Delete allows existing features to be deleted in Collector.
Query allows features to be queried in ArcGIS Online based on attributes.
Sync allows you to work offline -- with some work needed beforehand.
Update allows users to update features in collector.