Generally, a Notice of Appeal is filed when an applicant believes that an Examiner's rejections are improper but the Examiner does not find that the applicant's patentability arguments are persuasive. In this situation, a continuation application will likely be routed to the same examiner. If that continuation contains the same twice-rejected claims (one requirement to file an appeal), the Examiner is free to make a 1st office action final for that continuation application. Therefore, filing a Notice of Appeal can be a more cost effective strategy for the above-described situation.
Notice of Appeals are also sometimes filed, after a final rejection, merely as a somewhat cheaper method of keeping an application alive after a 3 month period of response has expired and an applicant does not know if they want to continue with the application. Filing a continuation with out fees would be cheaper than the appeal fee. However, that continuation application goes to the bottom of the examination queue. Another option for keeping the original application alive, after a final rejection, is to pay the extension fees while the applicant decides how to proceed. If action to keep the application alive is not completed until the 3rd month of extensions, the total fee amount will inherently be more expensive as compared to filing a Notice of Appeal within the original 3-month period of response.
Skimming the reasons to file a continuation with a very large brushstroke, theyare generally filed to pursue additional claims that were not included in the parent application.