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F10.3)HZQ2(	 IMPOSSIBLE AT P=	,F8.4,	 ERRORS TOO LARGE	)IZJ
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ME COL:	2I5)HZPA(	 T-TEST TYPE :	,I5,	 BETWEEN 	 HZ
F 5,	  T=	,F10.3,	   2*P=	,F10.3,	   D.F.=	,I5)B$2LDAC7R%$ADJ%2QDAC:R%$ADJ%2RDADCR&H2TQDADCR$HRVZBQW
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MDAC=4B&JB 2VB 2TBMR!$AD2OB!2NDAD4B&MBOJNWD9DC2\R HB$ABVJ\2VBTJ!2TBZJ\2ZB\"\J[2[BNJ!2NTB&MHR+BTR HB%;B"WB!494XBSJT2SBV"VZTJX2XBMJ!2MTB&JHR\BZ"ZZS2KBXRK2WB[RK2XRW2YDAC=R!4A3VBSR!2RTA3V4A3YBW\A3V2PBY\A3Y4A3\BP\A3\2LIZJ+HZ%OHZ
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HZO(HYDC4     BDMODBDL?<Y&Y&?:T^.E?7PX$7(F10.4,3X)) BLTRBEQNEGELEHZL/FBH4BL/BIBLBIJLSEHZP(	 BARTLETTS 3-GROUP REGRESSION 	,/,1H ,  	Y=	,G15.4,	+X*	,G15.5)HZP)(3F10.0)HZQY(	 CONFIDENCE LIMIT FOR B AT P=	F10.3,	  UPPER=	,G15.4,	  LOWER=	,G15.5,	  CALC. T =	
F10.3)HZQ2(	 IMPOSSIBLE AT P=	,F8.4,	 ERRORS TOO LARGE	)IZJ
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BT"OJ["OJZ"OLB]
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HZPNHZM9HZNTHBPRHZN]XBPHZM6HZN+XBFDAD$AC=2VB $ADJV2NB
2RB^2OBRWD9C4R
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2LDAD4BUIBSJLWD9DC2YR^HBQNBOJ
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2RBNJRWBSJLVD1DC49DCBLJ
2LTBUOHRR,BPWD:NT2PBQWD:NT2QBNJ
WBVJ
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4:N)BQJ 2QR&HRU,BR HZU
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HZWTIB[IJ[4HZ[5   1 ONLY /M     2 OUT..F127V0.+N0* :0.5B0*0/E*0B1.0B..0B0/EB+"0*M* :0.0B0*0/E*0B0.0F..0B0/EB+.1B ..N122V0.+N0*MBJ*2B4.0F..3B1/EB+.3B ..B320V0.+N0* :0.4B4*0/E*0B2.0N..1B8/EB+.3B ..N121V0.+N0* :0.4B0*0/E*0B1.0B..0B0/EB+"0*M* :0.0B0*0/E*0B0.0
..0B0/EB+.1B ..N123V0.+N0*MBJ*2B4.0F..0B3/EB+.3B .."324V0.+N0* :0.2B7*0/E*0B2.0R..1B2/EB+.3B ..J122V0.+N0* :0.5B0*0/E*0B1.0B..0B0/EB+"0*M* :0.0B0*0/E*0B0.0F..0B0/EB+.1B ..N124V0.+N0*MBJ*2B4.0Z..9B0/EB+.2B ..J223V0.+N0* :0.3B1*0/E*0B2.0R..5B0/EB+.3B ..B820
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0*0/E*0B0.0J..0B0/EB+.1B ..N128V0.+N0*MBJ*2B4.0&..2B0/EB+.2B ..&225V0.+N0* :0.3B1*0/E*0B2.0J..7B0/EB+.3B ..&620V0.+J0* :0.6B0*0/E*0B1.0B..0B0/EB+"0*M* :0.0B0*0/E*0B0.0F..0B0/EB+.1B ..N129V0.+N0*MBJ*2B4.0F..4B4/EB+.3B ..J323V0.+N0* :0.4B5*0/E*0B2.0F..7B3/E
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HZPZHZL4HZNKHBP^HZN,DAD$AC=2SB\2KDAC=4BW5BKJ\WBK$ADJS4:NKBKJ\2KTBW5HRP)B\WBS4:NKB\2LBRHBSRBS2LB\2PBSJ\2QB\2KDAC=4BW8BKJ\WB[4:NKB\2NDAD4BW;BPWD9DCR[HBROBTHBQ>B\2MDAC=4BW>BMR\$ADJNWD9DCR[HBROBMJ\2MTBW>HRQ,BQWBPVD1DC49DCBKJ\WBQ4:NKBQJ\2QBPJ\2PBNJ\2NTBW;HRQ\B
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"]HFJ$4BS+E^"]HFJ$4BS-EIZJ?HZS1HZS+HZS-HZMLBLJSW
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DAC=R]IRDH2XBSR IRD%"XHBVKB	2KXBPHZM*HZOBKXBGXBFB\2KDAC=4BXJBKWBKJ\VD2NKT:NK4:NKBKJ\2KTBXJHRV\DAC=R\2PXBPHZM*HZOPBPXBGB\2KDAC=4BXMBKWD:NKXBGBKJ\2KTBXMHRWAXBFDA3PR[IRD/2XBTIRDH"XHBW^HZN,BLJS2XBS\AC=IQ;T2YIZKGHZW1HZM[HZM^HZNBHZN,HZN,HZM^2MIZS7HZXDHZM*HZM	HZ
	HZM^2OBVWB"4:SBM"OR"HBX
BVHZZZ"O2
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[
M?HZZCHYDC22    SQRT  EXP   ALOG  ALOG10SQUAREEQUAL HZX?FBH4BX?BIBXRIJXEHZZ6(	 REDUCED  TO 	,I2,	 COLUMNS	)HZ[E(	 SORTED BY COLUMN 	,I2)HZ[[(	 COLUMN 	,I2,	 IS 	,A6,	 (COL	,I2,	)	)IY;BHZ[!HYC7RX$AD2ODAC:RX$AD2PBW2LDADCH*[5HB\*HZ
ODA3GHB CDAC7TAC=IRDO2TBXCTADCIRDOJTH" CDAC:RWIRD%2TDAC:TAC=IRD[JTH" CXBPHZY.HZZ&DAC:XBGXBFDAC:4AC=HZZXDAC7RWIRD92KIY;BHZ\6HYC74AC7RWIRDH2TDAC7TAC=IRD/JTH" CXBPHZY.HZZ8DAC7XBGXBFBX2LDADRX4B"?BLJX2MDAD4BBBOJLWD9DC2RBOJMWD9DC2SBRRWHB^EBKIRDH2TBRRSIRD%"TH"^?
RRSIRD["KH"^?BSRWHB^?BLTAD4AC7BMTAD4AC:BX2NDAC=4BEBN$AD4ADCDAC7LADCWD9DC2RDAC7LADCWDAC:LADCVD1DC49DCDAC:LADCWBR49DCBNJX2NTBEHR^UBMJX2MTBBHR]
BLJX2LTB"?HR]XHZZXBXC2LDADCRZHR
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<BW2LBLRWHB CDAC:2LIZJ
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HZOUHZM$HZM0HBOYHZM3XBPHZM^HZNAXBFIZJ/HZO	HZL7DAD$AC=JW2OBWC2KBLRZHJO6BV2KIZJ
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2OIZJ
HZRHZ HZRB O4IZJ3HZR-HZMIB	WBRZ)IQ;T4:N8B	WD:N8")CJRR(H"SDD:N8J	4:N8B)WB	VD2N84:N8B(WB	VBRT2N8APBPBXCXDTAPBPCXDXCCCBJ2AAGFFH2AEBK6AAAHFFH2AEBL6AEHZR$FBH4BR$BIBQ7IJRHAA22JGHR2BGHR$2CGHR%2DGH2EGH2FGH2GGH2AEFA2KFGH2AEFA2LEABACADFE2NAEBN"N"NRN2NAFBLRZH*URHBVU
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