Retrieve estimates for a task/project/person over a specific date range

Posted on behalf of Matt Bromwich. Original posting date 2015-01-08.

I would like to retrieve the "Hrs remaining" for a project for only a specific date range (e.g. the estimated effort required for a project during week 3).

For example "project X" has tasks spanning several weeks (say week 2, week 3 and week 4). I would like to retrieve the estimated work for each of the weeks. This data can be accessed (manually) in Analytics using a project rollup reported filtered by custom dates. Can this same data be retrieved using the API?

If a method exists it would also be useful for looking at effort/week for individual tasks and for individual resources as well.