OBS Studio requires some additional files (Visual Studio 2013 Runtimes) that are not currently installed on your system. Please download and run both of these Microsoft installers in order to continue setup:

Visual Studio 2013 Runtime [64 bit] - vcredist_x64.exe

Visual Studio 2013 Runtime [32 bit] - vcredist_x86.exe

Both the 32 bit and 64 bit versions should be installed, even if you have a 64 bit version of Windows.