Juxtaposition of regular factorial designs and the complex linear ... - Inra

Explicit simple formulae for factorial efficiencies are in some cases easy to derive and can Нelp ...... 6R ea ! r epa r ame tri sa tion o f co mp ! e x ! in ea r m od e ! s.
367KB taille 5 téléchargements 292 vues
 





 ! "#$ &% $'( ) (%*+(,-

./$0 1(.2 %3 4 5 798!: ;=;=?@BADC0EFG5IHJ8!?83K 6 L$MONPJQ RTS1UWVYX[Z\Z\R]UT^_VY`bacSdVfeWacX[SdR(gR h X\acikR]j edSdX\Rf^mlSWVfnoTRf^ pBqcqsrutwv0xdyYzb{s|~}|3v#=yY>€\‚ ^ ƒbƒ „ …‡†ˆŠ‰„‹6ˆ ŒŽ RŠUdRaY‘’X[SdS1RTgo]X\`Z[R9o  VYSdVYo]edRTSdU“aY‘”Vko]aci•i”e–V—eWX[˜YR9™cSdaYš›eda)™YR]eœV  oTaYišZ[R‚žŸSdRTšVYSWVYi•R]edSdX[ ¡VfedX\acnŸX[U¢SdR‚˜£X[R]¤ RTg0^2L¥e“X\U¢U  aB¤n›e  Vfeo]acišZ\R‚žŸšVYSdVYiR‚eWR]SdUo¡VYn`bR  VYngZ\R]g˜YRTS¦‡UdX[iX[ZIVYS1Z[¦§eWa§S1R¡VYZOacnRTU“VYnge  Vfe t ‘¨acS¢nacn£©aYS1e  ac™cacnVfZOgR]UdX\™YnU¢ac`eWVYX\nR]g`ª¦ VYU1UdRTi’`Z\X[n™ŠS1RT™cZIVYS”‘¨SdVYo]edX\acnU«acS«`Z[a£o–¬6‘¨SdVYo]edX\acnVYZ­gR]UdX\™YnU t e  R]¦kU1X\i•šZ\X®‘¯¦GaY`e–VYX[nX\n™°‘±Vfo]eWaYS R]²•o]X\RTnoTX\R]UoTacnU1X\gR]SWVY`Z[¦VYng“e  U~™YX[˜cR³U1X\i•šZ\R(o]Z\R]UŽ‘¨acS­e  R³o]acnU1edSdo‚eWX[acn0^ ´¶µ‚·¶¸'¹—º {—T» Vf`wR]Z\XIVfn&™cS1acš t ‘±Vfo]eWaYSdXIVfZbgRTUdX[™cn t šVYS1edXIVYZ#oTaYn‘¨acngX\n™ t ‘¨SWVYo‚eWX[acnVYZbgRTU1X\™cnU t o‚¦£o]Z\X[o gR]UdX\™Yn t R]²•oTX[RTno‚¦¢‘±VYo]edacST^ ¼

½¾¢¿mÀÁÂ9Ã9Ä¿mÅTÁ•¾

Æ VYns¦UdR‚‘¨Z!gRTUdX[™cnU'VYSdR~oTS1R¡VfedRTg¢`s¦³È1už£eWVYšbacUdX[n™’U1R]˜cR]SWVYZwUd`bgR]UdX\™YnU­ac`eWVYX\nRTg&`s¦•e  R™cSdaYš Ç i•acSdš  X\UdiÉiR‚e  aug)gRTUdo]SdX[`wR]gŸX\n)Êac`X\Z[X\nU1¬s¦kËÌƜacnaugJÍ pBqcqpBÎ ^Ÿ_Vfe1eWX[oTRTUVYS1R“¤ RTZ[Z~¬ªnaB¤n R‚žVYi•šZ[RTU aY‘0U1o  È1£žueWVYšwaYUdX[edX\acnU"X[n¶¤  X\o  e  R~Ud`bgR]UdX\™YnU­VYS1RŽe  R~gX[ÏwRTS1RTnse SdRTšZ\X\oTVfeWR]UT^mÐn&V UdX[n™cZ[R"S1RTšZ[X\oTVfeWR"X[eDX\UDX\i•šbacUdU1X\`Z[RmeWa(V¡˜YacX\gÑe  R oTacn‘¨aYngX[n™¤X®e  e  R'`Z\auo–¬uUDaY‘U1aci•R eWS1R¡VfediR]nse oTaYnªedSWVYUeWU]^ Ò~aB¤'R‚˜cRTS t VfUŽR‚ž£šZIVfX\nR]gӑ¨acS­X\nU1e–VfnoTRX[nʳR]iš£e  acS1nR•Í p¡qsrcÔcÎt e  RoTacn‘¨aYngX[n™«acn e  R(¤  acZ\ROgRTU1X\™cnX\U'acnZ[¦šVYSeWX\VYZw`bRToTVYU1R³e  R(eWS1R¡VfediR]nseR]ÏwRTo]edUŽoTacn£‘¨acngR]gœgX[ÏwRTS'‘¨S1aci/aYnR SdR]šZ\X[o¡VfedR(eWa¶e  RÑafe  R]ST^ L¥e’¤'VYU’U  aB¤n§X\nŠÊac`X\Z[X\nU1¬s¦ÕÍ pBqYqcÖsÎ e  V—e e  R&U1R&aY‘'e  RoTaci•šZ\RžSdR]šVYSWVfiR‚eWSdX[ ¡VfedX\acn VYU1UdauoTXIV—eWRTg¶¤X®e  e  Ro  VfSWVYo‚eWRTS1U af‘we  R™cSdacš•af‘wedSdR¡V—eWi•RTnseWUÍ=×  VY¬ªSWV¡˜fVYS1edX pBqsØYÙt h­VYX\Z[R]¦ pBqcÚsÔYÎ Z\RTVYgU­edagSdVYU1edX\oU1X\i•šZ\X®Ûo¡VfedX\acnU X[ne  RÑVYnVYZ®¦uUdX\UVfngœo]acnUeWSdo]eWX[acnaY‘De  R]UdRÑgRTU1X\™cnU]^ PܚSWVYo© eWX[o¡VYZ[Z[¦œX\i•šwaYS1e–VfnªeÑVfššZ\X[o¡VfedX\acnݤ'VYUÑe  R•U1edg¦°aY‘­VœnR‚¤ÞUdo  R]iR™cX[˜uX[n™“V“U1R]‘¨Z"i•R]e  a£gaY‘ `Z[a£o–¬ªX\n™”‘¨acSUdX\n™cZ\R(S1RTšZ[X\oTVfeWRacSŽR‚˜cR]nœ‘¨SWVfo]eWX[acnVYZb‘±VYo]edacSdX\VYZ!gRTUdX[™cnU]^ ŒŽ R”U1R”aY‘ šVfSWVYi•R]edRTSdUX\n“e  RÑÛRTZ[g°ßaY‘ o]aci•šZ\Rž“nui”`wR]SdU(SdVYX\U1RTUUdaci•R’એR]U1eWX[acnU]^(LU X[e”šwacU1UdX[`Z\RÓedagR¡VYZ'¤X®e  e  RTiáRžVfo]eWZ®¦kVYU¶X[nke  RSdRTVYZ­o¡VfUdRB⠌Ž RÇVfnU1¤ RTS«X\U”¦YRTU•šSdaB˜uX\gRTg e  RTUdRo]aci•šZ\RžÓšVfSWVYi•R]edRTSdU t VYngÓe  Ro]acSdS1RTUdšbacngX\n™¶o]acZ\i•nU aY‘e  R(X[noTX[gRTnoTR(iVfeWS1X®ž•ãÌVYS1R oTaYn—È1™sVfedRTg“`s¦šVYX\S1UT^äŠR S1RTo¡VfZ\Z  R]SdR³e  RÑiVYX\n¢S1RTUdZ[eWU~VY`bacee  X\UŽ¬ªX\ngœaY‘å x ¹—æOçbè\µ1é!ê"Z\X[nR¡VYS i•a£gR]ZVfng«VYššZ®¦³e  R]iëeWa(VOnªi”`bRTSaY‘#U1X[eWVfeWX[acnUTì-e  R­Udo  RTi•R3È1U1ei•RTnsedX\acnR]g t U1RTi•X®©S1RT™cZIVYS ‘¨SWVfo]eWX[acnVYZ£gRTU1X\™cnU™cRTnR]SWVYZ[X\ ]X\n™(X[n•V(nVfeWSWVYZ¤'V¡¦”e  Re  SdR]R‚©¥àuVYS1edRTS‘¨SWVYo‚eWX[acn¶aY‘wí3^îä,^ïƐ^uðYa  n Í p¡qcÙsÔcÎ VYng§aYe  RTS’`Z\auo–¬9‘±VYo]edacSdX\VYZ U1¦uii•R]edSdX[o¡VYZ acS¶VfU1¦uii•R]edSdX[o¡VYZ gR]UdX\™YnU’‘¨acS Ô VYngkñ—©¥Z\R‚˜cRTZ ‘±VYo‚eWacS1UT^ ò󞣚Z\X[oTX[e'UdX[išZ[RO‘¨acS1i”ZIVfR‘¨acS'‘±Vfo]eWaYSdXIVfZwR‚²o]X\R]noTX[RTU~VYSdROX\n¢UdaYiRoTVYUdR]U~RTVYU1¦eWa«gR]SdX[˜YR VYng“o¡Vfn  R]Z\šX\no  auacU1X\n™•V¶™caua£ggR]UdX\™Yn0^ p

’À’Ä¿À Á ¿  •À Á•Ã Á ›¿À Ñ¿  ¾Ó¿  "!

äŠR'UdššwaYUdRVYU3X\n”Êac`X\Z\X[nUd¬s¦³Ë›ÆœaYna£g¢Í pBqcq£p Î e  VfeDe  R eWSdRTVfeWi•RTnsedUmVYS1R e  R RTZ[RTi•RTnseWU aY‘VњSdaugo‚e­™cS1acš Í Î ÝÍ Î ¤  RTSdR¶Í ΂t e  ROVYggX®eWX[˜YRo]¦uoTZ[X\oO™YSdacšaY‘ acS1gRTS t X\U~UdR]gÝeWaSdRTšSdRTU1RTnsee  R’Z\R‚˜cR]Z\UOaf‘me  R e  ‘±VYo‚eWacS ¥^~L¥‘ X[UOV&o]aci•iacn“i”Z®eWX[šZ\R aY‘ t ^T^]^ t t VYZ[ZDe  RTU1R¶Z\R‚˜cRTZ[U(o¡Vfn9`wR¶R]i”`wR]ggR]gX[nseWa&e  R”o]¦uo]Z\X\o’™cSdacš9aY‘ acSdgRTS t ¤  X\o  X\U«S1RTšS1RTUdR]nseWRTg RTX[e  RTS•VYUœÍ ΂t e  R“VYggX®eWX®˜cR¢™cS1acšÕaY‘(X[nªedRT™cR]SdU«i•a£gZ\a t aYSVfU Ìe  R i”Z®eWX[šZ\X[o¡VfedX[˜cRO™cSdacšÝaY‘ e  SdauaYeWU~aY‘nX[e¦œX\nÝßD^ ŒŽ R’RTi’`wR]ggX\n™¢VYUdU1a£o]XIVfedRTU~¤X[e  Z\R]˜YRTZ X\nÕÍ Î R]X[e  RTS "X[n Í Î‚t acSRž£š’Í Ô X Î X\n Ó^ ŒŽ R«‘±Vfo]eWaYSdU³VYS1R«e  RTnoTaYnUdX[gRTS1RTg VYUi&VYššX\n™YU~‘¨S1aci ,X\nseWaÝÍ Î aYS &^ ŒŽ UX[‘ /Í Î X\UOV•edSdR¡V—eWi•RTnse(X[n t $Í Î X\U­e  R³oTacS1SdR]UdšbacngX[n™Z[R]˜YRTZ-aY‘D‘±VYo]edacS DX[nGÍ Î acS &ì

1

,+

&,+ / + 10

20 30 40 $576 80 '9:+ ),+ 9:+;0= ;