In brief
Users with larger phone screens spent more time on apps. In the study of 271 Samsung and iPhone models, users with screens of 5 inches or larger recorded 23% more app usage time, 21% more app openings and 3.53% longer average sessions than those with smaller screens.
Many users are replacing their smartphones with models that have increasingly larger screens. This is also the current smartphone trend, with most mainstream and flagship phones featuring screens of 5 inches or larger. A market research firm specialising in analysing apps recently published a study on smartphone screen size and the amount of time spent using apps, finding that the larger the screen, the more time users spend on apps.
The firm studied 271 models from the highly popular Samsung and iPhone ranges, spanning the Galaxy S3 and Note 2 from 2012 through to the latest iPhone 6s Plus and iPhone SE. The study found that the larger a user's phone screen, the more time they spent using apps. Users with screens of 5 inches or larger spent 23% more time using apps than those with screens smaller than 5 inches. Their average monthly app usage was 65.93 minutes, compared with just 52.23 minutes for users with smaller screens.

Users also opened apps 21% more often on larger-screen phones than on smaller-screen phones, while the average duration of each session was 3.53% longer. The analysis suggested that larger-screen phones on the market generally offered better performance, making them powerful tools that users were more inclined to use.
http://unwire.hk/2016/05/07/bigger-screen-more-time-on-apps/mobile-phone/