Video resolution changes in an HTTP adaptive streaming session may negatively affect the viewer's quality of experience. Our goal is, through encoding, to make such resolution changes less noticeable for the viewers. This can be achieved by taking video complexity features into account during the encoding process. In this paper, we compare Constant Bitrate (CBR) versus Constrained Constant Rate Factor (CRF) coding approaches and their effects on the noticeability of video resolution changes. To this end, we conducted a dedicated subjective study with 20 subjects in a quasi -lab environment. Our results suggest that choices for fixed-bitrate encoding have to be improved by deeper analysis of video complexity and resolution change patterns.