CRITICAL VALUES FOR DUNCAN NEW MULTIPLE RANGE TEST
CRITICAL VALUES FOR DUNCAN NEW MULTIPLE RANGE TEST
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DOI：
10.2307/2527770
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发表时间：
1960-01-01
期刊：
影响因子：
1.9
通讯作者：
HARTER, HL
中科院分区：
文献类型：
--
作者：
HARTER, HL
大卫·B·邓肯制定了一种新的多范围测试，利用基于自由度的特殊保护级别。邓肯还根据皮尔逊和哈特利以及拜尔的表格，列出了5%和1%水平的新多范围测试的临界值(显著的学生范围)。不幸的是，在一些已公布的临界值中存在相当大的错误。这一事实是由哈特发现并报告的，他在赖特-帕特森空军基地发起了比皮尔逊和哈特利发表的更准确的射程概率积分表的计算。这个广泛的计算项目，其主要目标之一是确定更准确的邓肯S试验临界值，现在已经完成。本文的目的是报告在新的学生范围概率积分表中通过反插值法找到的临界值(到四个有效数字)。其中包括显著性水平[α]a=0.050.01和新的显著性水平[α]=0.10、0.005、0.001的校正表，样本量n=2(1)20(2)40(10)100，自由度[nu]=1(1)20、24、30、40、60、120、S。
David B. Duncan has formulated a new multiple range test making use of special protection levels based upon degrees of freedom. Duncan has also tabulated the critical values (significant studentized ranges) for 5% and 1% level new multiple range tests, based up tables by Pearson and Hartley and by Beyer. Unfortunately, there are sizable errors in some of the published critical values. This fact was discovered and reported by Harter, who instigated the computation at Wright-Patterson Air Force Base of more accurate tables of the probability integrals of the range and of the studentized range than those published by Pearson and Hartley. This extensive computing project, of which one of the primary objectives was the determination of more accurate critical values for Duncan s test, has now been completed. The purpose of this paper is to report critical values (to four significant figures) which have been found by inverse interpolation in the new table of the probability integral of the studentized range. Included are corrected tables for significance levels [alpha]a = 0.05, 0.01 and new tables for significance levels [alpha] = 0.10, 0.005, 0.001 - all with sample sizes n = 2(1)20(2)40(10)100 and degrees of freedom [nu] = 1(1)20,24, 30, 40, 60, 120, s .