Just wanted to add my solution in case someone runs across this like I did...
I had a .msi file that once I generated a log for it:
msiexec -i package.msi /L*V package.log
had this in the logfile:
Error 1920. Service 'Controller 01' (Controller01) failed to start. Verify that you have sufficient privileges to start system services.
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 2052 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 5396 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 5404 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 1448 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 1904 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 1088 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 6952 could not be cancelled. Error: 1168
MSI (s) (04:5C) [12:23:11:831]: I/O on thread 6956 could not be cancelled. Error: 1168
Looking in the Event Viewer was no help, so before I hit cancel on the installer, I went to the location of the service on the hard drive and tried to run it as an administrator. At which point, I got a clue that led me to ultimately fix this:
MSVCR120.dll was not found
At which point, I went to c:\windows\system32 and looked for the DLL... and it was there. So, I copied it directly into the directory with the .exe and tried to run it again. This time I got a different error message:
The application was unable to start correctly (0xc000007b)
Searching for the meaning of "0xc000007b", I found here what it signifies: "The error 0xc000007b means STATUS_INVALID_IMAGE_FORMAT. This means an application tries to load DLLs with the wrong CPU architecture. So a 32Bit application tries to load 64Bit Dlls or the opposite (64Bit app tries to load 32Bit DLLs)."
So in my case, the publisher of the installer failed to include the x86 Visual C++ Redistributable Package for Visual Studio 2013. After installing that and rebooting, I reran the installer and it worked.