EXTENSION OF MULTIPLE RANGE TESTS TO GROUP MEANS WITH UNEQUAL NUMBERS OF REPLICATIONS

EXTENSION OF MULTIPLE RANGE TESTS TO GROUP MEANS WITH UNEQUAL NUMBERS OF REPLICATIONS
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DOI:
10.2307/3001469
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发表时间:
1956-01-01
期刊:
影响因子:
1.9
通讯作者:
KRAMER, CY
KRAMER, CY
中科院分区:
数学3区
文献类型:
--
作者:
KRAMER, CY

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利用邓肯、科尔斯、纽曼、图基等人提出的极差检验,给出了一种基于不等数的分组处理平均值的方法。该方法涉及获得适当的显着范围,通过将误差均方的平方根乘以上述作者提供的表中值来计算。如果(X1 - xj)v2 ninj/(n.+),则任何两个排序均值之间的差异显著。n.)超过适当的有效范围,其中ni和nj分别是处理i和j的重复次数。最后给出了一个数值例子。
A method is given to group treatment means based on unequal numbers by using range tests developed by Duncan, Keuls, Newman, Tukey,etc. This method involves obtaining appropriate significant ranges which are calculated by multiplying the square root of the error mean square by tabled values furnished by the above writers. The difference between any two ranked means is significant if (X1 - xj) v2ninj/(n.+n.) exceeds the appropriate significant range where ni and nj, are the number of replications of treatment i and j respectively. A numerical example is given using Duncan''s tabled ranges.