Yates Order
Before performing a Yates analysis, the data should be arranged in "Yates order". That is, given k factors, the kth column consists of 2(k - 1) minus signs (i.e., the low level of the factor) followed by 2(k - 1) plus signs (i.e., the high level of the factor). For example, for a full factorial design with three factors, the design matrix is
Determining the Yates order for fractional factorial designs requires knowledge of the confounding structure of the fractional factorial design.
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“This entire most beautiful order of good things is going to pass away after its measure has been exhausted; for both morning and evening were made in them.”
—St. Augustine (354–430)