In this paper, first-order response surface model incorporating neighbour effects from experimental units up to distance 2 has been discussed where experimental plots experience the neighbour effects from immediate left and right neighbouring units as well as from units at distance 2 assuming the plots are placed linearly without gaps. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of constructing designs for fitting first-order response surface model which ensures the constancy in the prediction variance after incorporating neighbor effects up to distance 2 has been developed and named as FORDDNE-2.

中文翻译：

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一阶可旋转设计结合了从实验单元到距离 2 的差分邻居效应

在本文中，已经讨论了包含从实验单元到距离 2 的相邻效应的一阶响应面模型，其中，假设这些地块被放置，实验地块会经历来自紧邻左右相邻单元以及距离为 2 的单元的相邻效应线性无间隙。已经推导出模型参数正交估计的条件。已开发出一种用于拟合一阶响应面模型的设计方法，该方法可确保在合并距离为 2 的邻居效应后预测方差的恒定性，并将其命名为 FORDDNE-2。