Oracle Corporation et al v. SAP AG et al

Filing 836

Declaration of Scott W. Cowan in Support of 835 Memorandum in Opposition, filed bySAP AG, SAP America Inc, Tomorrownow Inc. (Attachments: # 1 Exhibit A, # 2 Exhibit B, # 3 Exhibit C, # 4 Exhibit D, # 5 Exhibit E, # 6 Exhibit F, # 7 Exhibit G, # 8 Exhibit H, # 9 Exhibit I, # 10 Exhibit J, # 11 Exhibit K, # 12 Exhibit L, # 13 Exhibit M, # 14 Exhibit N, # 15 Exhibit O, # 16 Exhibit P, # 17 Exhibit Q)(Related document(s) 835 ) (Froyd, Jane) (Filed on 9/9/2010)

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Oracle Corporation et al v. SAP AG et al Doc. 836 Att. 6 EXHIBIT F Dockets.Justia.com Sampling Techniques third edition WILLIAM G. C O C H R A N Professor o f Statistics, Emeritus Harvard University J O H N W I L E Y & SONS New Y o r k . C h i c h e s t e r B r i s b a n e T o r o n t o Singapore to Betl Copyright 1 9 7 7 , by J o h n Wiley & Sons, Inc. All rights r e s e r v e d . P u b l i s h e d s i m u l t a n e o u s l y in C a n a d a . Reproduction or translation o f any part o f this work beyond that permitted by Sections 107 o r 108 o f the 1976 United States Copyright Act without the permission o f the copyright owner is unlawful. Requests for permission o r further information should be addressed to the Permissions Department. John Wiley & Sons. Inc. L i b r a , . , o f COllgress Cataloglllg III Publlcatloll D a t a : C o c h r a n , William G e m m e l l , 1 9 0 9 Sampling techniques. (Wiley s e r i e s in p r o b a b i l i t y a n d m a t h e m a t i c a l statistics) I n c l u d e s b i b l i o g r a p h i c a l r e f e r e n c e s a n d index. 1. S a m p l i n g (Statistics) I . T i t l e . QA276.6.C6 1977 001.4'222 77-728 ISBN G - 4 7 1 - I 6 2 4 D - X P r i n t e d in t h e U n i t e d S t a t e s o f A m e r i c a 30 29 28 Printed and b o o n d by Q u i n n . Woodbine. Inc. 12 MP G TErn 0 il= and - 2. (4.)= da da il = 1 0 !inti 3 2 d a a n d d a a r e call d 10 Itb a ing! timal! from a ingle u r v e , t h t a t e m o t 'IJ. Ii b e t w e e n da i n t certain t o b e correct. 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Tc distri as sh kno\l freql devi~ usin~ declll 1.96 WI we cc wher must more 1.8 B In r m p l e urvey t h e o r y i t i n. d e timat f r two Pu f t h e m t m m o n p r o b l e m s , p a r t i c u l a r l in t h e t i m a t i o n t h a t a r e otherwise n eoient and uitabl a r e { u n d t n ' t h timat t h a t a r unbi c d in p r bability sampling, e r r f in th n u m b e t h a t we a r e a b l e me u r m nt n d n o n r e p o n e ma p r o d u c e b ' ( Q c o m p u t fr m t b e d a t a . T h i h a p p e n , f r in l a n c e , if t h e pc n h relu to b e i n t rvie e d a r e a1m t all o p ed t m e x p e n d i t u r e o f p u b l i c fun , w h e r e a tho e h o a r e j n t rvi e d a r e plit e n l f r n d ai t. Thus , MPLI.' TE (I in t h p r b a b i l i t t h a l t h i t h u n i t i d r s n i di t n u t d a b i n mi I n u m e r o f u c c e e H nc 1/ ut a t e a h d r a . th a n a r e f n lri I 'Ih P = 1/ . suits Yi t (',) == n J i n t i Ih ariate -.!-)( 1 -~) o r lhi . (. a m u l t i n m i a l d i s l r i b u t i n. T h e c( in 2.3 (2. ). n d 2 . 3 4 ) I[ ( y ) == n - I ha f r amplin ith r plac menl, 2. ==n _, .-1 (YI- u_ I '1 -=-=--n n _. 6) quentl mpling ith ut repla m nl i Examr comprise populati( example, ratio o f a T h e sal the numt samples t R . I n larg negligiblt distributi, Theore s a m p l e Oi approxim where R ' 2.11 a : A > . . . ., . . . . . . TIO Proof I f n is larg o u t t h e dis x byX in 11 0 R NDOM 11' ti n is o m t i m 4, the mi"(-U =---n (.7 The , und t rm J j ;t n i m de between. imple rand m 'th pr rti naJ a n d o p t i m u m II nd Thi ed. ~) means r e d n o t d b If t e r m s i n 1 / ~ ar i n r e d r tati e 1 0 u n i t . 5.2 ) 5) h r th p t i m u m all a t i n i f r fixed n, t h a t i 2 I w i l h nIt Proof. rart =(l-f)n (.9 in ,st se [fr m equation (. . ~d I n ction .] " /==-....:.;..n..:.:.... . 2 "" 0) '''''=--n-- 6) "" ( .. I Ifr m c q u a t i n . 7 ) , . eti n . J

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