Im pretty pleased with those results too be honest. .how samsung have managed to increase performance, display size/resolution, battery size. ..whilst decreasing dimensions and also increasing battery life..astonishing.
The battery life endurance testing of Galaxy S4 at GSM Arena looks quite respectable. That said, do note that the Galaxy S3 that GSM Arena tested used the Exynos 4 Quad SoC that was fabricated on a less advanced and less mature 32nm fabrication process (vs. the more advanced and more mature 28nm fabrication process for the S600 SoC used in the Galaxy S4). Also note that the Galaxy S4 has about 24% more battery capacity than the Galaxy S3.
GSM Arena tests battery life endurance in three tests: talk time, web browsing, and video playback. The talk time test has the screen
off with the CPU processor in a low voltage state. The S600 [Krait] CPU uses asynchronous symmetric multi-processing with independent frequency and voltage scaling for each CPU core. This saves some power compared to a
traditional variable symmetric multi-processing CPU architecture such as the Exynos 4 Quad [Cortex A9] CPU at idle. That could in part explain why the S600-based Galaxy S4 has 34% more talk time than the Exynos 4 Quad-based Galaxy S3, even though battery capacity has increased by "only" 24%. That said, moving forward, most variable symmetric multi-processing CPU architectures will make use of a power sipping battery saver core(s) such as demonstrated in big.LITTLE or 4+1, so these newer vSMP architectures will probably gain an upper hand in idle power consumption compared to aSMP architectures such as Krait.
In the web browsing battery life endurance test, most likely GSM Arena is loading one web page at a time. The S600-based Galaxy S4 has higher single threaded CPU performance vs. the Exynos 4 Quad-based Galaxy S3, so it can load and render web pages more quickly and then go to sleep in order to save power. This improved speed and improved time to sleep combined with newer software, newer fabrication process, and increased battery capacity would help to explain why web browsing battery life is nearly 65% more on the Galaxy S4 compared to the Galaxy S3.
Do note that web browsing battery life tests in general may depend on the quality and reliability of the internet connection at the time of the test, and GSM Arena's data has some unexpected results. For instance, even though the Galaxy S4 has nearly 12% more battery capacity than the HTC One, and even though both are using the same S600 SoC (with the Galaxy S4 clocked about 12% higher), the HTC One ends up getting nearly 15% better web browsing battery life than the Galaxy S4. Even more strange is some of the other web browsing battery life data in their expanded list. For instance, the HTC One X+ gets nearly 85% more (!) web browsing battery life than the HTC One X.
In the video playback battery life endurance test, the Galaxy S4 only gets about 2.5% better battery life than the Galaxy S3, even though it has much higher battery capacity in comparison, and even though the Galaxy S3 does not make use of any power sipping battery saver CPU core(s). Did GSM Arena use a higher video playback resolution for the Galaxy S4 compared to the Galaxy S3? Who knows. Still, all things considered, certainly very respectable endurance testing.