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正交设计表头处理因素如何排列？？？列号 1 2 3 4 5 6 7 因素

正交设计表头处理因素如何排列？？？列号 1 2 3 4 5 6 7 因素

浏览：36次 | 提问时间： 08-10 03:21

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源来你是王 08-10 03:22

正交表是一种特制的表格，一般用Ln（mk ）表示，L代表是正交表，n代表试验次数或正交表的行数，k表最多可安排影响指标因素的个数或正交表的列数，m表示每个因素水平数。如L9(34 )表四个因素，每个因素三个水平，安排9次试验，若全面组合搭配试验则需81次。又如L8（27）表七个因素，每个因素2个水平，安排8次试验，若全面组合搭配试验则需128次。再如L27（313）表13个因素，每个因素3个水平，安排27次试验，若全面组合搭配试验则需1594323次。一般常用表有32张，包括交互作用表、表头设计表等。且有n－1

虬根百曲 08-10 03:30

k(m－1)9－1＝4(3－1),8－1＝7(2－1),27－1＝13(3－1) L16(4×212 ) 16次试验，一个因素4个水平，12个因素2个水平 16－1＝1×（4－1）＋12×(2－1)＝15 L16(43 ×26) 16次试验，三个因素四个水平，6个因素两个水平 16－1＝3×（4－1）＋6×(2－1)＝15 对L9(34 )，1,2,3三个数中可能的数对为（1,1），（1,2），（1,3），（2,1），（2,2），（2,3），（3,1），（3,2），（3,3）九种。表中任意两列九对数皆出现一次，称之为搭配均匀，分配合理,组合最佳，前三列A1(1,1,1)，A2(1,2,2)，A3(1,3,3),A4(2,1,2),A5(2,2,3),A6(2,3,1),A7(3,1,3),A8(3,2,1),A9(3,3,2)前中后，左中右，中下9个平面各三个点。可在空间直角坐票系下设原点为A1(1,1,1)表出。列行 A 1 B 2 C 3 D 4 1 2 3 4 5 6 7 8 9 1 1 1 2 2 2 3 3 3 1 2 3 1 2 3 1 2 3 1 2 3 2 3 1 3 1 2 1 2 3 3 1 2 2 3 1 二．应用 1. 单指数正交实验设计例1. 为了提高某种产品的转化率，决定进行试验寻找较好的生产工艺条件，据以前生产经验影响指标的四个因素及每因素三个水平见表，其中转化率越大越好。 A 表反应温度（℃） B 表反应时间（秒） C 表用碱量（kg） D 表反应压力（大气压） ⑴排正交表L9(34)作9次试验，其试验结果如表称之为极差分析表列号试验号 1 A 2 B 3 C 4 D 产品转化率﹪ yi 1 2 3 4 5 6 7 8 9 1 1 1 2 2 2 3 3 3 1 2 3 1 2 3 1 2 3 1 2 3 2 3 1 3 1 2 1 2 3 3 1 2 2 3 1 31 54 38 53 49 42 57 62 64 Kj1 Kj2 Kj3 123 144 183 141 165 144 135 171 144 144 153 153 总和450 极差Rj 60 24 36 9 水平系数 A B C D 1 80 90 5 2 2 85 120 6 25 3 90 150 7 3⑵ 极限分析 1°算一算 Kiji表水平数，j表因素 K11表示A因素第一个水平下试验值之和。 K23表示C因素第二个水平下试验值之和。 K32表示B因素第三个水平下试验值之和。 K11＝31＋54＋38＝123 K23＝54＋53＋64＝171 K32＝38＋42＋64＝144 20 比一比极差 maxminjijiji i RKK