Salvete! I had tried to install SharePoint through M$'s GUI before I found AutoSPInstaller. In my original attempt to install SharePoint, I found I was missing several service accounts, MySites was not set, and other things I didn't know
what. So I removed my farm, cleaned up the old databases, and even uninstalled SharePoint Server.
So I downloaded all the prerequisites. The Prerequisite script kept bogging down, so downloaded everything manually using the permalink addresses in the script file, and I put all the prerequisites in the right folder.
Now, when it came time to run AutoSPInstaller, it kept crashing until I commented out this line:
#Start-Process "$SPbits\PrerequisiteInstallerFiles\sqlncli.msi" -Wait -ArgumentList "/passive /norestart IACCEPTSQLNCLILICENSETERMS=YES"
Apparently, the previous run of the SharePoint Prerequisite installer had already installed it. AutoSPInstaller was not able to detect this, and also could not recover from the failure to install this file.
However, I have not had to make any more amendations to the script - it is running very well.