I have studied the effectiveness of the manual and automated review process. Automated review was conducted with tool called PMD. It is an easy to use plugin for many IDEs that review your Java code and finds potential problems to be fixed. It finds example possible bugs, dead code, suboptimal code, etc.
Following table summarizes the findings:
|Manual review||Automated review|
|Time||120 min||5 min|
|Relative hourly cost||100||100|
|Lines of code||201||201|
As table shows, automated review could be 25 times more effective than manual review. It found almost same number of problems than five person manual review with same priorities. If automated review can be made 25 times faster with same kind of results, it is obvious that it should be used instead.
My suggestion is that you leave your manual review process until you have fixed all problems found with PMD. After that you can find advanced problems with manual review like logic problems. And PMD is also very good solution to begin the review process to improve your product quality. So why don't you give it a try?