This chapter discusses the differences between archaeometric research problems, addressed to the advancement of the discipline, and the application of archaeometric routine problems in archaeological research ones, in order to deep our knowledge in social systems. This archaeometric routine problems start with the as-received state pottery, a composite material, and they address two broad and related questions: the identification of meaningful ceramic groups and provenance, in order to be able to infer the compositions of archaeological ceramic assemblages; and aspects related to ceramic manufacture, in order to reconstructing manufacture processes and identifying performance characteristics, also contributing to the study of technique and technology. It is argued that a fruitful sampling strategy starts with the understanding that pottery is part of assemblages resulting from different formation processes of the archaeological record. Thus a stratified multiphase sampling, performed in different sampling steps with post-stratification after each step, is advisable.