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This article is an excerpted chapter from a research handbook on inflation in which we document measurement issues in the compilation of consumer price indexes. From defining the conceptual target to sampling, repricing, and aggregating the data, there are numerous issues that arise. In this chapter, we review the practical challenges associated with the construction of consumer price indexes. We provide examples from the US CPI produced by the Bureau of Labor Statistics (BLS) to illustrate how these issues can be addressed.