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Question

(We leave it to the reader to check that this is true.) Once the experimental data have been collected, it is possible to find a 100(1 −a）%confidence regionfor these v−1 treatment-versus-control contrasts. The confidence region not only determines confidence bounds for each treatment-versus-control contrast, it determines bounds for every possible contrast y-1 and, in fact, forany number of contrasts, while the overall confidence level remains fixed. The mathematical details are given by Scheff ´e (1959).
For v treatments in a completely randomized design and the one-way analysis of variance model (3.3.1), a set of simultaneous 100(1−a）% confidence intervals for all contrasts y-1 is given by

Answer 1

(我们让读者去检查,这是真的。)一旦实验数据已经收集了,就有可能找到一个100(1−)%的信心regionfor 1 treatment-versus-control这些v−对比。信心地区不仅决定每个treatment-versus-control信心界限的对比,确定了为每一个可能的对比y-1界限,事实上,forany数量的对比,而整体信心程度依然不变。给出了数学细节Scheff´e(1959)。　　在一个完全为v治疗随机设计和单向方差分析模型(3.3.1),一套同时100(1−)%的置信区间,给出了所有y-1对比

Answer 2

我们让读者去检查,这是真的。)一旦实验数据已经收集了,就有可能找到一个100(1?)%的信心regionfor 1 treatment-versus-control这些v?对比。信心地区不仅决定每个treatment-versus-control信心界限的对比,确定了为每一个可能的对比y-1界限,事实上,forany数量的对比,而整体信心程度依然不变。给出了数学细节Scheff′e(1959)。

Answer 3

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