In sequences of human sensory assessments, the response toa stimulus may be influenced by previous stimuli. When investigating this phenomenon experimentally with several types or levels of stimulus, it is useful to have treatment sequences which are balanced for first-order carry-over effects. The requirement of balance for each experimental participant leads us to consider sequences of n symbols comprising an initial symbol followed by n ;blocks' each containing a permutation of the symbols. These sequences are designed to include all n (2) ordered pairs of symbols once each, and to have treatment and sequence position effects which are approximately or thogonal. Such sequences were suggested by Finney and Outhwaite (1956), who were able to find examples for particular values of n. We describe and illustrate acomputer algorithm for systematically enumerating the sequences for those values of n for which they exist. Criteria are proposed for choosing between the sequences according to the nearness to orthogonality of their treatment and position effects.

中文翻译：

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感官研究的设计顺序：平衡结转和位置效应。

在人类的感觉评估序列中，对刺激的反应可能会受到先前刺激的影响。当通过几种类型或水平的刺激实验性地研究这种现象时，使治疗顺序达到一阶残留效应的平衡是很有用的。每个实验参与者的平衡要求导致我们考虑n个符号的序列，包括一个初始符号，后跟n个块，每个块包含这些符号的排列。这些序列被设计为包括所有n（2）个有序的符号对，每对一次，并具有近似或正交的处理和序列位置效果。Finney和Outhwaite（1956）提出了这样的序列，他们能够找到n的特定值的示例。我们描述并说明了一种计算机算法，用于系统地枚举序列中存在的n值。提出了根据治疗的正交性和位置效应在序列之间进行选择的标准。