Google provides the Analytics Management Objective-C library to access JSON APIs. Developers need iOS 3 and Mac OS X 10.5. The introduction to this library explains how to add the library to a project, add custom data, and use the API without generated classes. In the link to the demos, users can find samples with Blogger, Books, Calendar, Drive, and Storage.
San Francisco startup Prior Knowledge recently released in public beta their predictive analytics API called Veritable. They want to enable every developer with big data prediction tools, without becoming a quant genius first. Just upload a dataset, execute analysis, make predictions and watch the sparks fly.