sorry, but you cannot, seems like tar lacks the capability of testing (for example if you forget about *nix and try to test it with winrar, result will be: "The command is not supported for this type of archive" )
how I pointed out in comments above, tar literally lacks internal CRC to have a term of comparison, therefore if you change a tar archive with an editor, listing and extraction may work flawless with no error, but extract corrupted data
in conclusion, I end up here hoping for a solution, but there is not one, fortunately there are two good news:
there are very, very, VERY rare tar archives that are not also compressed with another program (like gzip, bzip2, etc.) therefore that program will have a testing solution and people who don't compress them are kinda lame, REALLY LAME
for my personal problem, I'm lucky, after extracting it, I just found a md5sum file with CRC of all files inside (even the person who put arhive tar on net and didn't want to compress it, he still wanted to be able to be verified)