试验设计与数据分析.pdf
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1、?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ?13778566781Email: ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ?(?)? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering?
2、 ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?BiometryBiometry? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ? ? ? ?(?)?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?17?18?18?19?20?2010Sichuan University of Science
3、& Engineering? ? ? ? ? ? ? ? ?1?2?(1) t-?(2) ?2-?(3) ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?3?1?2?3?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?population? ? ?sample? ?2010Sichuan Universi
4、ty of Science & Engineering? ? ? ? ? ? ? ? ? ?parameter? ? ?statistic? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?(variation)? ? ?(variate)? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?error?1?systematic error?2?random error?2010Sichuan University of Scie
5、nce & Engineering? ? ? ? ? ? ? ? ?1 1? ?systematic error? ?1?2?3?4?5?6?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?random error? ? ?2 2?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?accuracy? ? ?precise? ?2010Sichuan University of Science & Engineering? ? ?
6、? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ?=+=niinnxnxxxx1121x =+=NiiNNxNxxx1121?2010Sichuan University of Science & E
7、ngineering? ? ? ? ? ? ? ? ? ?1?0?2?a?0)(1=niixx22)()(axxx?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ?30?xi?i?fi?i? k?ffxfxffffxfxfxfxkiikiiikkk=+=11212211?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?1?Md?2?M0?2010Sichuan University of Science & Engine
8、ering? ? ? ? ? ? ? ? ? n?n?G? ?nnnnxxxxxxxxG1)(321321=)lglg(lg1lg211nxxxnG+=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?H.? ?=+=xnxxxnnH1111111)(121?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ?
9、 ? ? ? ?range? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?variance? ?0? ?SS?2)(xxSSi=2)(=ixSS?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?n?1?N? ?S2?2?) 1()(22=nxxSiNxi22)(=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?S2?S? ? ?) 1
10、()(2=nxxSiNxi2)(=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?n?n?(x-)=0?n-1? ?k?n-k?n-1?n? ?n-1?S2?x?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?1?2?C?3?1)(2=nxxSi1)(22=nnxxSii2)(nx1)(22=nnxfxfSiiii?2010Sichuan University of Science & Engineering? ? ? ? ? ?
11、 ? ? ? ? ?a?a?a?a? ?68.7%?95.45%?2?99.73%?3?1.96?95%?2.58?99%?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ?C.V.?%100.=xSVC?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?3?14?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?2010Sichuan Univers
12、ity of Science & Engineering? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?1.? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?2.? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?3.? ?(?)? ? ?U? ?V? ? ?2010Sichuan University
13、 of Science & Engineering? ? ? ? ? ? ? ? ? ?A?B?A?B?A?BA1+A2+?+An=?Ai? ?A?B? ABA1A2?An=?Ai? ?A?B?AB? ?A?B? A+B? AB?B=? ?A1,A2,?,An? ?A?B?A?B?A?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ?A? ?A? ?p?(?n?)?n?f ?p?naAf=)()()(=npAPna?2010Sichuan University of Science & Engineering
14、? ? ? ? ? ? ? ? ? P(A)=0?A? ?P(A)?P(A)?0.05 ?P(A)?0.01?A?P(A)=P(V)?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?x? ?x?x? ?x?a, b, (ab)?x?f(x)?x?x?)(+xxfdxxfbxapba)()(=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering
15、? ? ? ? ? ? ? ? ?1?n?0?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ? ?x?2?x?x?222)(21)(=xexf?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?2 2? ?x=?x=?f (x)? ?-?f (?-?)?+?f (?+?)? ? ?x?-?+?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?00.9
16、-4 -3 -2 -101234?=0.5?=1.0?=1.5?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?3 3? ?x? ?x?u? ?=xu2221)(ueuf=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?=0?2=1?u?u?N?0?1?u?N?0?1?u?y?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?4 4?(1) ?1?u?, u
17、?u?=uxudxedxxfuuP2221)()()(uuP?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?P?-1?u?1?=0.6826P?-2?u?2?=0.9545P?-3?u?3?=0.9973P?-1.96?u?1.96?=0.95P?-2.58?u?2.58?=0.99?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?(2) ?N(0, 1)? ?x N(30?102)?X 40? ? ?u?1030=xu7158.
18、 03841. 01) 1(1) 1()103040()40(=uPuPuPxP?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?3-8 ?P36? ? ?u?2100=xu3413. 05 . 03841. 0) 10()21001022100100()102100(=5?nq5?n?=np?2=npq?x?npq=pnnpx=22nnpqx=npqx=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?n?p?2010Sichua
19、n University of Science & Engineering? ? ? ? ? ? ? ? ?3 3?3-1?P29?p=0.85?n=6?k=5?3993. 0)15. 0()85. 0()15. 0()85. 0()5(15)!56( !5!615566=?CP?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?3-2?P30?p=0.85?n=6?k=4?4?9525. 03771. 03993. 01761. 015. 085. 015. 085. 015. 085. 0)4()(0666155
20、624466415=+=+=?CCCqpCxPqpCkxPxxnxxnnkxxn?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?3-3?P30?p=0.85?n=6?k=4?4?22352. 017618. 004145. 000549. 000039. 000001. 015. 085. 015. 085. 015. 085. 015. 085. 015. 085. 0)4(2446333642265116600640=+=+=?CCCCCqpCxPxxnxxn?2010Sichuan University o
21、f Science & Engineering? ? ? ? ? ? ? ? ?n?p?0?x?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?1 1? ?x(x=m)?0?1?2?m=0?1?n ? ?0?e=2.7182?(?)?x?(Poisson?s distribution)?x?P(?)? ? ?=emmxPm!)(?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?2 2? ?=np?2?=?=?2? ?1?P(x0)?1?
22、2?P(x=1)?2?3?P(x=2)?=20?=50?20? =?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?3 3?3-4?P32?x?1008. 0! 53!)5(P35=ekexk916. 0!)5(P50=kkkex084. 0)5(1!)5(P5=xPkexk?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?=0.51?S2=0.52?=0.51?(k=0,1,2,?)?e-0.51=0.6005?P(x=0)= (0.
23、510?0! )0.6005=0.6005P(x=1)= (0.511?1! )0.6005=0.3063P(x=2)= (0.512?2! )0.6005=0.0781P(x=3)= (0.513?3! )0.6005=0.0133P(x=4)= (0.514?4! )0.6005=0.0017x51.0!51.0)(=emmxPm0001. 09999. 01)(1)4(40=kmxpxP?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?=0.51?=0.51? k 0 1 2 3 ?4 ? ? ? 120 6
24、2 15 2 1 200 ? ? 0.6000 0.3100 0.0750 0.0100 0.0050 1.00 ? ? 0.6005 0.3063 0.0781 0.0133 0.0018 1.00 ? 120.12 61.26 15.62 2.66 0.34 200 ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?S2?2? ?2? ? ?
25、xx?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?1? ?N?n?Nn? ?ixixix?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ? ?standard error?Se? ?xxxxx=xnx=?2010Sichuan University of Science & Engineering? ? ? ? ? ? ? ? ?N=3?x1=2?x2=4?x3=6?=4?n=2?9?9?Nn=32=9?N?633. 1383485
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