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Paul Kimpel 2c72f7fd1d Commit CUBE Library version 13 of February 1972.
1. Commit library tape images, directories, and extracted text files.
2. Commit additional utilities under Unisys-Emode-Tools.
2018-05-27 11:24:23 -07:00

649 lines
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BEGIN 00000000
COMMENT REGRES1/STATMAN; 00000100
COMMENT MULTIPLE REGRESSION AND CORRELATION ANALYSIS 00000200
CHARLES L. CLARK 00000300
PROFESSIONAL SERVICES DIVISIONAL GROUP 00000400
BURROUGHS CORPORATION 00000500
PROGRAM CONTAINS 416 CARDS 00000600
FIRST RELEASE DATE 12-1-64 ; 00000700
FILE IN CARD (2,10), 00000800
TAPE1 (2,100), 00000900
TAPE2 (2,100), 00001000
TAPE3 (2,100), 00001100
TAPE4 (2,100), 00001200
CORMAT (2,100), 00001300
FACMAT (2,100), 00001400
ROTMAT (2,100); 00001500
SWITCH FILE TIN~CARD,TAPE1,TAPE2,TAPE3,TAPE4,CORMAT,FACMAT,ROTMAT; 00001600
INTEGER H,I,M,N,Q,INP; 00001700
INTEGER ARRAY ID[0:4] ; 00001800
BOOLEAN TR,MEAN,VAR,NORM,INV,RES,PCC,CC,CCINV,SWICH,SAVET; 00001900
LABEL START, LL1,NOMO ; 00002000
FORMAT OKTL(100O); 00002100
FORMAT DATAFMT(///////////////////////////////////////////////// 00002200
///////////////////////////////////////////////// 00002300
/////////////////////////////////////////////////);00002400
FORMAT FORM1(5A6,4I5,9(L1,X1),I1,L1), 00002500
FORM2 (26I3) , 00002600
FORM3(40I1); 00002700
FORMAT OUT TITLE(X34,"GENERAL MULTIPLE REGRESSION AND ", 00002800
"CORRELATION ANALYSIS"///X45,5A6// 00002900
X1,"SAMPLE SIZE",X2,I5/ 00003000
X1,"NO. OF INDEPENDENT VARIABLES",X2,I3/ 00003100
X1,"NO. OF DEPENDENT VARIABLES",X4,I3//) , 00003200
FRM1 (X1,"NORMAL MATRIX"/) , 00003300
FRM2 (X1,"ROW",I3/(6(X1,I3,X1,E15.8)/)) , 00003400
FRM3 (//X1,"MEANS OF INDEPENDENT AND " , 00003500
"DEPENDENT VARIABLES"/) , 00003600
FRM4 ((6(X1,I3,X1,E15.8)/)/) , 00003700
FRM5 (/X1,"VARIANCES OF INDEPENDENT AND " , 00003800
"DEPENDENT VARIABLES"/) , 00003900
FRM6 (/X1,"THE INVERSE MATRIX"/) , 00004000
FRM7 (/X1,"PRODUCT OF NORMAL AND INVERSE " , 00004100
"MATRICES"/) , 00004200
FRM8 (/X47,"DEPENDENT VARIABLE NO.",I3/) , 00004300
FRM9 (X1,"REGRESSION COEFFICIENTS"// 00004400
X1,"THE CONSTANT TERM IS",X3,E15.8) , 00004500
FRM10(/X1,"THE ERROR SUM SQUARE IS",X3,E15.8// 00004600
X1,"THE ERROR MEAN SQUARE IS",X2,E15.8// 00004700
X1,"THE STANDARD ERROR OF ESTIMATE IS" , 00004800
X3,E15.8// 00004900
X1,"THE COEFFICIENT OF DETERMINATION " , 00005000
"IS",X6,E15.8// 00005100
X1,"THE MULTIPLE CORRELATION " , 00005200
"COEFFICIENT IS",X2,E15.8//) , 00005300
FRM11(X1,"STANDARD DEVIATIONS OF THE " , 00005400
"REGRESSION COEFFICIENTS"/) , 00005500
FRM12(/X1,"T VALUE OF REGRESSION " , 00005600
"COEFFICIENTS"/) , 00005700
FRM13(/X36,"ANALYSIS OF VARIANCE"/X29, 00005800
"FOR THE MULTIPLE LINEAR REGRESSION"// 00005900
X7,"SOURCE OF VARIATION",X7,"D.F.",X8, 00006000
"SUM OF",X13,"MEAN",X15,"F"/X45, 00006100
"SQUARES",X11,"SQUARES",X11,"RATIO"/ 00006200
X1,"DUE TO REGRESSION",X14,I5,X3,E15.8, 00006300
X3,E15.8,X3,E15.8/ 00006400
X1,"DEVIATION ABOUT REGRESSION",X5,I5, 00006500
X3,E15.8,X3,E15.8/ 00006600
X22,"TOTAL",X5,I5,X3,E15.8//) , 00006700
FRM14(/X51,"TABLE OF RESIDUALS"// 00006800
X25,"OBSERVATION",X8,"Y CALCULATED",X9, 00006900
"Y OBSERVED",X11,"RESIDUAL") , 00007000
FRM15(X28,I5,X9,E15.8,X5,E15.8,X5,E15.8) , 00007100
FRM16(//X25,"TEST OF EXTREME RESIDUALS"// 00007200
X25,"RANGE OF RESIDUALS",X20,E15.8/ 00007300
X25,"RANGE / STANDARD ERROR OF " , 00007400
"ESTIMATE",X4,E15.8//) , 00007500
FRM17(X1,"CORRELATION COEFFICIENTS"/) , 00007600
FRM18(/X1,"INVERSE OF CORRELATION MATRIX"/) , 00007700
FRM19(/X1,"PARTIAL CORRELATION COEFFICIENTS"/) ; 00007800
FILE OUT PRINT 4 (1,15) ; 00007900
DEFINE LINE =PRINT#; 00008000
PROCEDURE OBJECTFMTGEN(INFORMAT);FORMAT INFORMAT;BEGIN OWN REAL NCR,NFWD00008100
,ELCLASS;OWN REAL LCR;OWN INTEGER CNT,TCNT,RSLT,F;OWN INTEGER FMAX;OWN R00008200
EAL ARRAY ACCUM[0:9];SAVE OWN REAL ARRAY GENF[0:259];SAVE OWN REAL ARRAY00008300
IMAG[0:9];OWN REAL ARRAY PRNT[0:19];OWN BOOLEAN ERRTOG;LABEL FINISHED;S00008400
TREAM PROCEDURE TATTLE(F,LINE);VALUE F;BEGIN SI~LOC F;DI~LINE;10(DS~LIT"00008500
");DS~9LIT"FMT SIZE ";DS~3DEC;DS~4LIT" WDS";47(DS~2LIT" ");END OF TATT00008600
LE;PROCEDURE FLAG(ERRNUM);INTEGER ERRNUM;BEGIN STREAM PROCEDURE INSERT(E00008700
RR,LINE,ACCUM,CNT);VALUE ERR,CNT;BEGIN SI~LOC ERR;DI~LINE;10(DS~LIT"X");00008800
DS~16LIT" SYNTAX ERROR #";DS~3DEC;DS~4LIT" ..";SI~ACCUM;SI~SI+3;DS~CNT00008900
CHR;DS~4LIT".. ";10(DS~LIT"X");36(DS~2LIT" ");END OF INSERT;INSERT(ER00009000
RNUM,PRNT[0],ACCUM[1],CNT);WRITE(LINE,15,PRNT[*]);ERRTOG~TRUE;END OF FLA00009100
G;PROCEDURE ERR(ERRNUM);INTEGER ERRNUM;BEGIN FLAG(ERRNUM);END;REAL STREA00009200
M PROCEDURE SETUP(CARD,LINE,LCR);BEGIN LOCAL SET1;SI~CARD;DI~LINE;DS~10W00009300
DS;40(DS~2LIT" ");SI~CARD;SET1~SI;DI~LOC SETUP;SI~LOC SET1;DS~WDS;DI~CA00009400
RD;9(DI~DI+8);SET1~DI;DS~LIT"%";SI~LOC SET1;DI~LCR;DS~WDS;END OF SETUP;R00009500
EAL STREAM PROCEDURE FMTF(FMTIN);BEGIN LOCAL ST;SI~FMTIN;DI~LOC FMTF;ST~00009600
SI;SI~LOC ST;DS~WDS;END OF FMTF;REAL STREAM PROCEDURE EXAMIN(NCR);VALUE 00009700
NCR;BEGIN SI~NCR;DI~LOC EXAMIN;DI~DI+7;DS~CHR;END OF EXAMIN;REAL STREAM 00009800
PROCEDURE CONV(ACCUM,SKP,N);VALUE SKP,N;BEGIN SI~ACCUM;SI~SI+SKP;SI~SI+300009900
;DI~LOC CONV;DS~N OCT;END OF CONV;REAL PROCEDURE CONVERT;BEGIN REAL T;IN00010000
TEGER N;T~CONV(ACCUM[1],TCNT,N~(CNT-TCNT)MOD 8);FOR N~TCNT+N STEP 8UNTIL00010100
CNT-1DO T~T|100000000+CONV(ACCUM[1],N,8);CONVERT~T;END OF CONVERT;STREA00010200
M PROCEDURE SCAN(NCRV,NCR,ACCUM,CNT,CNTV,RSLT,RSLTV,AC);VALUE NCRV,CNTV,00010300
RSLTV,AC;BEGIN LOCAL ST1,ST2;LABEL DEBLANK,GETCHR,NUMBER,EXIT,FINIS;LABE00010400
L L;SI~NCRV;DI~RSLT;DI~DI+7;CI~CI+RSLTV;GO TO FINIS;GO TO FINIS;GO TO FI00010500
NIS;GO TO NUMBER;GO TO FINIS;GO TO GETCHR;GO TO FINIS;DEBLANK:IF SC=" "T00010600
HEN BEGIN L:SI~SI+1;IF SC=" "THEN GO TO L;END;GO TO FINIS;GETCHR:DS~LIT"00010700
2";TALLY~1;SI~SI+1;GO TO EXIT;NUMBER:TALLY~63;DS~LIT"3";AC(TALLY~TALLY+100010800
;IF SC<"0"THEN JUMP OUT TO EXIT;SI~SI+1);EXIT:ST1~TALLY;TALLY~TALLY+CNTV00010900
;ST2~TALLY;DI~CNT;SI~LOC ST2;DS~WDS;DI~ACCUM;SI~SI-3;DS~3CHR;DI~DI+CNTV;00011000
SI~NCRV;DS~ST1 CHR;FINIS:DI~NCR;ST1~SI;SI~LOC ST1;DS~WDS;END OF SCAN;PRO00011100
CEDURE READACARD;BEGIN READ(CARD,10,IMAG[*]);NCR~SETUP(IMAG[0],PRNT[0],L00011200
CR);WRITE(LINE,15,PRNT[*]);END OF READACARD;PROCEDURE SCANNER;BEGIN LABE00011300
L L;L:SCAN(NCR,NCR,ACCUM[1],CNT,CNT,RSLT,RSLT,63-CNT);IF NCR=LCR THEN BE00011400
GIN READACARD;GO TO L;END;END OF SCANNER;PROCEDURE NEXTENT;BEGIN CNT~ACC00011500
UM[1]~0;IF EXAMIN(NCR)=" "THEN BEGIN RSLT~7;SCANNER;END DEBLANK;IF EXAMI00011600
N(NCR){9THEN BEGIN RSLT~3;SCANNER;TCNT~0;IF CNT>4THEN FLAG(140)ELSE IF E00011700
LCLASS~-CONVERT<-1023THEN FLAG(140)END ELSE BEGIN RSLT~5;SCANNER;ELCLASS00011800
~ACCUM[1].[18:6];END;END OF NEXTENT;STREAM PROCEDURE MOVECODE(TEMP,FINAL00011900
,RPT,REM);VALUE RPT,REM;BEGIN LOCAL ST1;SI~TEMP;DI~FINAL;DS~REM WDS;ST1~00012000
SI;SI~LOC RPT;SI~SI+7;IF SC!"0"THEN BEGIN SI~ST1;RPT(DS~63WDS);END;END O00012100
F MOVECODE;PROCEDURE MAXWDS(INFORMAT);FORMAT INFORMAT;BEGIN OWN INTEGER 00012200
CTR,FLG;LABEL RETURN,EX;INTEGER STREAM PROCEDURE WDCTR(FMT,CTR,FLG);VALU00012300
E CTR;BEGIN LOCAL ST1;LABEL SCAN,FND,EXIT;SI~LOC CTR;SI~SI+7;DI~LOC ST1;00012400
DS~4LIT"0000";DI~DI-4;IF SC="0"THEN BEGIN SI~FMT;GO TO SCAN;END;SI~FMT;C00012500
TR(63(SI~SI+8));SCAN:63(IF 4SC=DC THEN JUMP OUT TO FND;TALLY~TALLY+1;DI~00012600
DI-4;SI~SI+4);ST1~TALLY;GO TO EXIT;FND:ST1~TALLY;SI~SI-4;DI~FLG;DS~WDS;E00012700
XIT:SI~LOC ST1;DI~LOC WDCTR;DS~WDS;END OF WDCTR;FMAX~CTR~FLG~0;RETURN:FM00012800
AX~FMAX+WDCTR(INFORMAT,CTR,FLG);IF FLG!0THEN GO TO EX;CTR~CTR+1;GO TO RE00012900
TURN;EX:END OF MAXWDS;STREAM PROCEDURE LARGER(LINE,F);VALUE F;BEGIN SI~L00013000
OC F;DI~LINE;10(DS~LIT"X");DS~41LIT" FORMAT TOO LARGE (RECEIVER FMT SIZ00013100
E IS ";DS~3DEC;DS~9LIT" WORDS) ";10(DS~LIT"X");47(DS~LIT" ");END OF LAR00013200
GER;PROCEDURE GETINT;BEGIN NEXTENT;IF ELCLASS~-ELCLASS<0THEN BEGIN FLAG(00013300
137);ELCLASS~0END END GETINT;INTEGER PROCEDURE DIVIDE(NUMBER,P1,P2);VALU00013400
E NUMBER;INTEGER P1,P2,NUMBER;BEGIN IF NUMBER<0THEN BEGIN FLAG(138);NUMB00013500
ER~0END;P1~IF NUMBER<8THEN NUMBER ELSE 8;NUMBER~NUMBER-P1;P2~IF NUMBER<800013600
THEN NUMBER ELSE 8;DIVIDE~NUMBER-P2 END DIVIDE;STREAM PROCEDURE WHIPOUT(00013700
NFWDV,W,NFWD);VALUE NFWDV;BEGIN LOCAL ST;SI~W;DI~NFWDV;DS~WDS;ST~DI;DI~N00013800
FWD;SI~LOC ST;DS~WDS;END OF WHIPOUT;BOOLEAN PROCEDURE FORMATPHRASE;BEGIN00013900
LABEL EL,EX,EXIT,L1,L2,L3;PROCEDURE EMITFORMAT(S,CODE,REPEAT,SKIP,W,W1,00014000
W2,D1,D2);VALUE S,CODE,REPEAT,SKIP,W,W1,W2,D1,D2;REAL CODE,REPEAT,SKIP,W00014100
,W1,W2,D1,D2;BOOLEAN S;BEGIN IF W>63THEN FLAG(163);W~REPEAT&W[6:42:6]&SK00014200
IP[32:42:6]&W1[28:44:4]&W2[24:44:4]&D1[20:44:4]&D2[16:44:4]&CODE[2:44:4]00014300
&REAL(S)[1:47:1];F~F+1;WHIPOUT(NFWD,W,NFWD);END EMITFORMAT;STREAM PROCED00014400
URE PACKALPHA(PLACE,LETTER,CTR);VALUE LETTER,CTR;BEGIN DI~PLACE;DS~LIT"B00014500
";SI~LOC CTR;SI~SI+7;DS~CHR;SI~PLACE;SI~SI+3;DS~5CHR;SI~LOC LETTER;SI~SI00014600
+7;DS~CHR END PACKALPHA;INTEGER REPEAT,SKIP,W,W1,W2,D1,D2,CODE;BOOLEAN S00014700
;INTEGER ST;DEFINE RRIGHT=0#,RLEFT=4#,RSTROKE=6#;DEFINE RSCALE=8#,RR=15#00014800
;DEFINE RD=0#,RX=2#,RA=4#,RI=6#,RF=8#,RE=10#,RO=12#,RL=14#;IF ELCLASS<0T00014900
HEN BEGIN REPEAT~-ELCLASS;NEXTENT;IF ELCLASS=","THEN GO EX END ELSE REPE00015000
AT~REAL(ELCLASS!"("AND ELCLASS!"<");IF ELCLASS="("OR ELCLASS="<"THEN BEG00015100
IN SKIP~F;EMITFORMAT(TRUE,RLEFT,REPEAT,1,0,0,0,0,0);DO BEGIN NEXTENT;EL:00015200
IF FORMATPHRASE THEN GO TO EX END UNTIL ELCLASS!",";WHILE ELCLASS="/"DO 00015300
BEGIN EMITFORMAT(TRUE,RSTROKE,0,1,0,0,0,0,0);NEXTENT END;IF ELCLASS!")"A00015400
ND ELCLASS!">"THEN GO TO EL;IF REPEAT=0THEN EMITFORMAT(TRUE,RSTROKE,1,0,00015500
0,0,0,0,0);S~TRUE;REPEAT~F-SKIP;CODE~RRIGHT END ELSE IF ELCLASS="O"THEN 00015600
BEGIN CODE~RO;W~8END ELSE IF ELCLASS="D"THEN BEGIN CODE~RD;W~8END ELSE I00015700
F ELCLASS=","THEN GO TO L2 ELSE IF ELCLASS="/"THEN GO TO EXIT ELSE IF EL00015800
CLASS=")"OR ELCLASS=">"THEN GO TO EXIT ELSE IF ELCLASS="S"THEN BEGIN NEX00015900
TENT;W~IF ELCLASS="-"THEN 1ELSE 0;IF ELCLASS>0THEN NEXTENT;IF ELCLASS>0T00016000
HEN BEGIN ERR(136);GO TO EXIT END ELSE REPEAT~-ELCLASS;EMITFORMAT(TRUE,R00016100
SCALE,REPEAT,0,W,0,0,0,0);GO TO L2 END ELSE IF ELCLASS="""THEN BEGIN COD00016200
E~100;ST~0;DO BEGIN SKIP~1;DO BEGIN RSLT~5;CNT~0;SCANNER;IF ELCLASS~ACCU00016300
M[1].[18:6]=CODE THEN BEGIN IF SKIP!1THEN BEGIN WHIPOUT(NFWD,W,NFWD);F~F00016400
+1;END;GO TO L2 END;CODE~""";PACKALPHA(W,ELCLASS,SKIP);END UNTIL SKIP~SK00016500
IP+1=7;WHIPOUT(NFWD,W,NFWD);F~F+1;END UNTIL(ST~ST+6)>132;GO TO EX END EL00016600
SE BEGIN CODE~ELCLASS;GETINT;W~ELCLASS;IF CODE="I"THEN BEGIN SKIP~DIVIDE00016700
(W,W1,W2);CODE~RI END ELSE IF CODE="F"THEN BEGIN CODE~RF;GO TO L1 END EL00016800
SE IF CODE="R"THEN BEGIN CODE~RR;GO TO L1 END ELSE IF CODE="E"THEN BEGIN00016900
CODE~RE;D1~1;L1:NEXTENT;IF ELCLASS!"."THEN GO TO EX;GETINT;IF DIVIDE(EL00017000
CLASS+D1,D1,D2)>0THEN GO TO EX;IF CODE=RF OR CODE=RR THEN SKIP~DIVIDE(W-00017100
ELCLASS-1,W1,W2)ELSE IF SKIP~W-ELCLASS-6<0THEN GO TO EX END ELSE IF CODE00017200
="X"THEN BEGIN CODE~RX;W1~W.[38:4];SKIP~W~W.[42:6]END ELSE IF CODE="A"TH00017300
EN BEGIN CODE~RA;W1~6;GO TO L3 END ELSE IF CODE="L"THEN BEGIN CODE~RL;W100017400
~5;L3:IF W<W1 THEN W1~W;SKIP~W-W1 END ELSE GO EX END;EMITFORMAT(S,CODE,R00017500
EPEAT,SKIP,W,W1,W2,D1,D2);L2:NEXTENT;GO TO EXIT;EX:FORMATPHRASE~TRUE;ERR00017600
(136);EXIT:END FORMATPHRASE;ERRTOG~FALSE;READACARD;NFWD~FMTF(GENF);F~0;D00017700
O NEXTENT UNTIL ELCLASS="("OR ELCLASS=";";IF ELCLASS!"("THEN BEGIN FLAG(00017800
32);NCR~TIME(1);DO F~0UNTIL TIME(1)-NCR>200;F~@40*2;END;ERRTOG~FORMATPHR00017900
ASE;IF ELCLASS=";"THEN GO TO FINISHED;FLAG(119);FINISHED:TATTLE(F,PRNT[000018000
]);WRITE(LINE,15,PRNT[*]);MAXWDS(INFORMAT);IF F>FMAX THEN BEGIN LARGER(P00018100
RNT[0],FMAX);WRITE(LINE,15,PRNT[*]);ERRTOG~TRUE;END;NCR~0&(F+1)[24:39:9]00018200
;WHIPOUT(NFWD,NCR,NFWD);CNT~(F+1)DIV 63;TCNT~(F+1)MOD 63;IF ERRTOG THEN 00018300
BEGIN NCR~TIME(1);DO F~0UNTIL TIME(1)-NCR>200;F~@40*2;END;MOVECODE(GENF,00018400
INFORMAT,CNT,TCNT);END OF OBJECTFMTGEN; 00018500
START: BEGIN 00018600
LIST HEAD(FOR I ~ 0 STEP 1 UNTIL 4 DO ID[I],M,N,Q, 00018700
H,TR,MEAN,VAR,NORM,INV,RES,PCC,CC,CCINV,INP,SAVET); 00018800
READ (CARD ,FORM1,HEAD) [NOMO] ; 00018900
END ; 00019000
SWICH ~ FALSE ; 00019100
LL1: BEGIN 00019200
INTEGER J, K, L, P ; 00019300
ARRAY X[0:Q],YSQ[0:Q-N],A[0:N+1,0:Q],B[0:H],SB[0:N] , 00019400
T[0:Q] ; 00019500
REAL C, RSS, RMS, F, ERS, EMS, SE, CD, MCC, HI, LO, R, S ; 00019600
LABEL RERED, RESDU ; 00019700
LIST TRAN (FOR J ~ 1 STEP 1 UNTIL Q DO T[J]) , 00019800
DATA (FOR I ~ 1 STEP 1 UNTIL H DO B[I]) , 00019900
OUT1 (FOR J ~ 0 STEP 1 UNTIL 4 DO ID[J], M, N, 00020000
L) , 00020100
OUT2 (I, FOR J ~ I STEP 1 UNTIL N DO 00020200
[J, A[I,J]]) , 00020300
OUT3 (FOR I ~ 1 STEP 1 UNTIL N DO [I, B[I]]) , 00020400
OUT4 (FOR I ~ 1 STEP 1 UNTIL N DO [I, SB[I]]), 00020500
OUT5 (FOR I ~ 1 STEP 1 UNTIL N DO [I, X[I]]) , 00020600
OUT6 (I, FOR J ~ I STEP 1 UNTIL N DO 00020700
[J, X[J]]) ; 00020800
PROCEDURE INVERT(N, B); 00020900
VALUE N; 00021000
INTEGER N; 00021100
ARRAY B[0,0]; 00021200
COMMENT THIS PROCEDURE INVERTS A SYMMETRIC MATRIX 00021300
A[I,J] OF WHICH THE UPPER HALF IS GIVEN. 00021400
ALL FLOATING POINT OPERATIONS ARE DONE IN 00021500
DOUBLE PRECISION; 00021600
BEGIN 00021700
INTEGER I,J,K,L; 00021800
ARRAY AH, AL[0:N,0:N], ZH, ZL[0:N]; 00021900
REAL DGH, DGL, RH, RL; 00022000
FOR I ~ 1 STEP 1 UNTIL N DO 00022100
FOR J ~ 1 STEP 1 UNTIL N DO 00022200
DOUBLE(B[I,J],0,~,AH[I,J],AL[I,J]); 00022300
FOR K ~ 1 STEP 1 UNTIL N-1 DO 00022400
BEGIN 00022500
DOUBLE(AH[K,K], AL[K,K],~,DGH, DGL); 00022600
FOR I ~ K+1 STEP 1 UNTIL N DO 00022700
BEGIN 00022800
DOUBLE(AH[K,I], AL[K,I], DGH, DGL,/,~,RH, RL); 00022900
FOR J ~ I STEP 1 UNTIL N DO 00023000
DOUBLE(AH[I,J], AL[I,J], AH[K,J], AL[K,J], RH, RL,|,-,~, 00023100
AH[I,J], AL[I,J]); 00023200
FOR L ~ 1 STEP 1 UNTIL K-1 DO 00023300
DOUBLE(AH[L,I], AL[L,I], AH[L,K], AL[L,K], RH, RL,|,-,~, 00023400
AH[L,I], AL[L,I]); 00023500
AH[K,I] ~ - RH; 00023600
AL[K,I] ~ - RL; 00023700
END 00023800
END ; 00023900
COMMENT BACKWARD PASS; 00024000
FOR K ~ 1 STEP 1 UNTIL N DO 00024100
BEGIN 00024200
FOR J ~ 1 STEP 1 UNTIL N DO 00024300
DOUBLE(AH[K,J], AL[K,J], AH[J,J], AL[J,J],/,~, 00024400
ZH[J], ZL[J]); 00024500
DOUBLE(,1.0, AH[K,K], AL[K,K],/,~, ZH[K], ZL[K]); 00024600
FOR I ~ K STEP 1 UNTIL N DO 00024700
BEGIN 00024800
FOR J ~ I+1 STEP 1 UNTIL N DO 00024900
DOUBLE(ZH[I], ZL[I], ZH[J], ZL[J], AH[I,J], AL[I,J],|,+, 00025000
~, ZH[I], ZL[I]); 00025100
B[K,I] ~ ZH[I] 00025200
END 00025300
END 00025400
END INVERT; 00025500
PROCEDURE INVPDS(N,B,DIAGONAL); 00025600
VALUE N; 00025700
INTEGER N; 00025800
REAL ARRAY B[0,0], DIAGONAL[0]; 00025900
COMMENT DOUBLE PRECISION VERSION OF SYMMETRIC MATRIX 00026000
INVERSION PROCEDURE; 00026100
BEGIN 00026200
INTEGER I,J,K,I1,L; 00026300
REAL DIAGH, DIAGL, QH, QL; 00026400
REAL ARRAY AH, AL[0:N,0:N], TEMPH, TEMPL[0:N]; 00026500
LABEL IN1, IN2, IN3; 00026600
FOR I ~ 1 STEP 1 UNTIL N DO 00026700
FOR J ~ 1 STEP 1 UNTIL N DO 00026800
DOUBLE(B[I,J],0,~,AH[I,J],AL[I,J]); 00026900
IN1: FOR I ~ N STEP -1 UNTIL 1 DO 00027000
BEGIN 00027100
DIAGONAL[I] ~ B[I,I]; 00027200
FOR K~ I+1 STEP 1 UNTIL N DO 00027300
DOUBLE(AH[I,K], AL[I,K], AH[K,K], AL[K,K], |,~, 00027400
TEMPH[K], TEMPL[K]); 00027500
FOR J ~ I STEP -1 UNTIL 1 DO 00027600
BEGIN 00027700
DOUBLE(,0.0, ~, QH, QL); 00027800
FOR K ~ I+1 STEP 1 UNTIL N DO 00027900
DOUBLE(QH, QL, AH[J,K], AL[J,K], TEMPH[K], TEMPL[K], 00028000
|, +, ~, QH, QL); 00028100
IF I=J THEN 00028200
BEGIN 00028300
DOUBLE (AH[J,I], AL[J,I], QH, QL, -, ~, DIAGH, DIAGL); 00028400
DOUBLE(DIAGH, DIAGL, ~, AH[J,I], AL[J,I]) 00028500
END 00028600
ELSE 00028700
DOUBLE(AH[J,I], AL[J,I], QH, QL, -, DIAGH, DIAGL, /, ~, 00028800
AH[J,I], AL[J,I]) 00028900
END 00029000
END ; 00029100
IN2: FOR I ~ N STEP -1 UNTIL 1 DO 00029200
BEGIN 00029300
I1 ~ I+1; 00029400
DOUBLE(,1.0, AH[I,I], AL[I,I], /, ~, AH[I,I], AL[I,I]); 00029500
FOR J~ N STEP -1 UNTIL I1 DO 00029600
BEGIN 00029700
DOUBLE(,0.0, ~, QH, QL); 00029800
L ~ J-1; 00029900
FOR K ~ I1 STEP 1 UNTIL L DO 00030000
DOUBLE(QH, QL, AH[I,K], AL[I,K], AH[K,J], AL[K,J], 00030100
|, +, ~, QH, QL); 00030200
DOUBLE(AH[I,J], AL[I,J], QH, QL,+, ~, AH[I,J], AL[I,J]); 00030300
AH[I,J] ~ -AH[I,J]; 00030400
AL[I,J] ~ -AL[I,J] 00030500
END 00030600
END ; 00030700
IN3: FOR I~ N STEP -1 UNTIL 1 DO 00030800
BEGIN 00030900
I1 ~ I-1; 00031000
DOUBLE(AH[I,I], AL[I,I], ~, DIAGH, DIAGL); 00031100
FOR K ~ 1 STEP 1 UNTIL I1 DO 00031200
DOUBLE(AH[K,K], AL[K,K], AH[K,I], AL[K,I], |, ~, 00031300
TEMPH[K], TEMPL[K]); 00031400
FOR J ~ N STEP -1 UNTIL I DO 00031500
BEGIN 00031600
DOUBLE(,0.0, ~, QH, QL); 00031700
FOR K ~ 1 STEP 1 UNTIL I1 DO 00031800
DOUBLE(QH, QL, AH[K,J], AL[K,J], TEMPH[K], TEMPL[K], 00031900
|, +, ~, QH, QL); 00032000
IF I=J THEN 00032100
DOUBLE(AH[I,J], AL[I,J], QH, QL, +, ~, AH[I,J], AL[I,J]) 00032200
ELSE 00032300
DOUBLE(QH, QL, AH[I,J], AL[I,J], DIAGH, DIAGL, |,+,~, 00032400
AH[I,J], AL[I,J]) 00032500
END 00032600
END ; 00032700
FOR I ~ 1 STEP 1 UNTIL N DO 00032800
FOR J ~ I STEP 1 UNTIL N DO 00032900
B[I,J] ~ AH[I,J] 00033000
END INVPDS IN DOUBLE PRECISION; 00033100
LABEL NAXT, L1, L2, L3, L4, L5, L6, L7, L8, L9, L10, 00033200
L11, L12, L13, L14, L15 ,LL3; 00033300
SWITCH U ~ L1,L2,L3,L4,L5,L6,L7,L8,L9,L10,L11,L12,L13,L14,L1 ; 00033400
FILE TAPEA (2,Q+1) ; 00033500
INTEGER II, JJ; 00033600
ARRAY DIAGONAL[0:N], SAM[0:N,0:N]; 00033700
IF TR THEN 00033800
READ (CARD ,FORM2,TRAN) ; 00033900
FOR I ~ 0 STEP 1 UNTIL N DO 00034000
FOR J ~ I STEP 1 UNTIL Q DO 00034100
A[I,J] ~ 0 ; 00034200
L ~ Q-N ; 00034300
FOR P ~ 1 STEP 1 UNTIL L DO 00034400
YSQ[P] ~ 0 ; 00034500
IF INP=0 THEN 00034600
OBJECTFMTGEN(DATAFMT) 00034700
ELSE 00034800
READ(TIN[INP],OKTL,M,H); 00034900
WRITE(LINE[DBL]); 00035000
FOR L ~ 1 STEP 1 UNTIL M DO 00035100
BEGIN 00035200
IF INP=0 THEN READ(CARD,DATAFMT,DATA) 00035300
ELSE READ(TIN[INP],OKTL,DATA); 00035400
FOR J ~ 1 STEP 1 UNTIL Q DO 00035500
BEGIN 00035600
IF TR THEN 00035700
BEGIN 00035800
GO TO U[T[J]] ; 00035900
L1: X[J] ~ B[J] ; 00036000
GO TO NAXT ; 00036100
L2: X[J] ~ B[J] | B[J] ; 00036200
GO TO NAXT ; 00036300
L3: X[J] ~ 1 / B[J] ; 00036400
GO TO NAXT ; 00036500
L4: X[J] ~ SQRT (B[J]) ; 00036600
GO TO NAXT ; 00036700
L5: X[J] ~ EXP (B[J]) ; 00036800
GO TO NAXT ; 00036900
L6: X[J] ~ LN (B[J]) ; 00037000
GO TO NAXT ; 00037100
L7: X[J] ~ SIN (B[J]) ; 00037200
GO TO NAXT ; 00037300
L8: X[J] ~ COS (B[J]) ; 00037400
GO TO NAXT ; 00037500
L9: X[J] ~ B[J+1] ; 00037600
GO TO NAXT ; 00037700
L10: X[J] ~ B[J+2] ; 00037800
GO TO NAXT ; 00037900
L11: X[J] ~ B[J+3] ; 00038000
GO TO NAXT ; 00038100
L12: X[J] ~ B[J+4] ; 00038200
GO TO NAXT ; 00038300
L13: X[J] ~ B[J+5] ; 00038400
GO TO NAXT ; 00038500
L14: X[J] ~ B[J+6] ; 00038600
GO TO NAXT ; 00038700
L15: X[J] ~ B[J+7] ; 00038800
GO TO NAXT ; 00038900
NAXT: END 00039000
ELSE 00039100
X[J] ~ B[J] 00039200
END ; 00039300
WRITE(TAPEA,Q+1,X[*]) 00039400
END; 00039500
REWIND(TAPEA) ; 00039600
RERED: FOR L ~ 1 STEP 1 UNTIL M DO 00039700
BEGIN 00039800
READ (TAPEA,Q+1,X[*]) ; 00039900
IF SWICH THEN 00040000
BEGIN 00040100
F ~ B[0] ; 00040200
FOR I ~ 1 STEP 1 UNTIL N DO 00040300
F ~ F + B[I] | X[I] ; 00040400
C ~ F - X[P] ; 00040500
WRITE (PRINT,FRM15,L,F,X[P],C) ; 00040600
IF HI < C THEN 00040700
HI ~ C ; 00040800
IF LO > C THEN 00040900
LO ~ C 00041000
END 00041100
ELSE 00041200
BEGIN 00041300
FOR K ~ 1 STEP 1 UNTIL Q DO 00041400
BEGIN 00041500
C ~ X[K] ; 00041600
A[0,K] ~ A[0,K] + C ; 00041700
IF K { N THEN 00041800
BEGIN 00041900
FOR J ~ K STEP 1 UNTIL Q DO 00042000
A[K,J] ~ A[K,J] + C | X[J] 00042100
END 00042200
END ; 00042300
FOR J ~ N+1 STEP 1 UNTIL Q DO 00042400
YSQ[J-N] ~ YSQ[J-N] + X[J] | X[J] 00042500
END 00042600
END ; 00042700
IF SWICH THEN 00042800
GO TO RESDU ; 00042900
FOR I ~ 1 STEP 1 UNTIL Q DO 00043000
BEGIN 00043100
R ~ A[0,I] / M ; 00043200
IF I { N THEN 00043300
BEGIN 00043400
C ~ A[I,I] - A[0,I] | R ; 00043500
A[I,I] ~ C ; 00043600
A[I,0] ~ C ; 00043700
FOR J ~ I+1 STEP 1 UNTIL N DO 00043800
BEGIN 00043900
C ~ A[I,J] - A[0,J]|R ; 00044000
A[I,J] ~ C ; 00044100
A[J,I] ~ C 00044200
END ; 00044300
FOR J ~ N+1 STEP 1 UNTIL Q DO 00044400
A[I,J] ~ A[I,J] - A[0,J]|R 00044500
END 00044600
ELSE 00044700
YSQ[I-N] ~ YSQ[I-N] - A[0,I] | R ; 00044800
A[0,I] ~ R 00044900
END ; 00045000
L ~ Q-N ; 00045100
WRITE(PRINT[PAGE]) ; 00045200
WRITE(PRINT,TITLE,OUT1) ; 00045300
COMMENT PRINTOUT OF NORMAL MATRIX ; 00045400
IF NORM THEN 00045500
BEGIN 00045600
WRITE (PRINT,FRM1) ; 00045700
FOR I ~ 1 STEP 1 UNTIL N DO 00045800
WRITE (PRINT,FRM2,OUT2) 00045900
END ; 00046000
COMMENT COMPUTATION OF MEANS AND VARIANCES ; 00046100
IF MEAN THEN 00046200
BEGIN 00046300
FOR I ~ 1 STEP 1 UNTIL Q DO 00046400
X[I] ~ A[0,I] ; 00046500
WRITE (PRINT,FRM3) ; 00046600
L ~ N ; 00046700
N ~ Q ; 00046800
WRITE (PRINT,FRM4,OUT5) ; 00046900
N ~ L 00047000
END ; 00047100
IF VAR THEN 00047200
BEGIN 00047300
FOR I ~ 1 STEP 1 UNTIL N DO 00047400
X[I] ~ A[I,0] / (M-1) ; 00047500
FOR I ~ N+1 STEP 1 UNTIL Q DO 00047600
X[I] ~ YSQ[I-N] / (M-1) ; 00047700
WRITE (PRINT,FRM5) ; 00047800
L ~ N ; 00047900
N ~ Q ; 00048000
WRITE (PRINT,FRM4,OUT5) ; 00048100
N ~ L 00048200
END ; 00048300
COMMENT 00048400
INVERT (N, A) ; 00048500
FOR II ~ 1 STEP 1 UNTIL N DO 00048600
FOR JJ ~ 1 STEP 1 UNTIL N DO 00048700
SAM[II,JJ] ~ A[II,JJ]; 00048800
INVPDS(N,SAM,DIAGONAL); 00048900
FOR II ~ 1 STEP 1 UNTIL N DO 00049000
FOR JJ ~ 1 STEP 1 UNTIL N DO 00049100
A[II,JJ] ~ SAM[II,JJ]; 00049200
COMMENT PRINTOUT OF INVERSE MATRIX ; 00049300
IF INV THEN 00049400
BEGIN 00049500
WRITE (PRINT,FRM6) ; 00049600
FOR I ~ 1 STEP 1 UNTIL N DO 00049700
WRITE (PRINT,FRM2,OUT2) ; 00049800
COMMENT PRODUCT OF NORMAL AND INVERSE MATRICES ; 00049900
WRITE (PRINT,FRM7) ; 00050000
FOR I ~ 1 STEP 1 UNTIL N DO 00050100
BEGIN 00050200
FOR J ~ I STEP 1 UNTIL N DO 00050300
BEGIN 00050400
X[J] ~ 0 ; 00050500
FOR L ~ 1 STEP 1 UNTIL I-1 DO 00050600
X[J] ~ X[J] + A[L,I] | A[J,L] ; 00050700
FOR L ~ I STEP 1 UNTIL N DO 00050800
BEGIN 00050900
IF L < J THEN 00051000
S ~ A[J,L] 00051100
ELSE IF L > J THEN 00051200
S ~ A[L,J] 00051300
ELSE 00051400
S ~ A[J,0] ; 00051500
X[J] ~ X[J] + S | A[I,L] 00051600
END 00051700
END ; 00051800
WRITE (PRINT,FRM2,OUT6) 00051900
END 00052000
END ; 00052100
FOR I ~ 1 STEP 1 UNTIL N DO 00052200
BEGIN 00052300
R ~ A[I,0] ; 00052400
FOR J ~ I+1 STEP 1 UNTIL N DO 00052500
IF SQRT(R|A[J,0])!0 THEN 00052600
A[J,I] ~ A[J,I] / SQRT (R | A[J,0]) 00052700
ELSE A[J,I]~0; 00052800
END ; 00052900
COMMENT CONSIDER EACH DEPENDENT VARIABLE SEPARATELY ; 00053000
FOR P ~ N+1 STEP 1 UNTIL Q DO 00053100
BEGIN 00053200
COMMENT COMPUTATION OF REGRESSION COEFFICIENTS ; 00053300
FOR I ~ 1 STEP 1 UNTIL N DO 00053400
BEGIN 00053500
B[I] ~ 0 ; 00053600
FOR L ~ 1 STEP 1 UNTIL I-1 DO 00053700
B[I] ~ B[I] + A[L,I] | A[L,P] ; 00053800
FOR L ~ I STEP 1 UNTIL N DO 00053900
B[I] ~ B[I] + A[I,L] | A[L,P]; 00054000
END ; 00054100
B[0] ~ A[0,P] ; 00054200
FOR I ~ 1 STEP 1 UNTIL N DO 00054300
B[0] ~ B[0] - B[I] | A[0,I] ; 00054400
COMMENT COMPUTATION OF REGRESSION SUM OF SQUARES ; 00054500
RSS ~ 0 ; 00054600
FOR I ~ 1 STEP 1 UNTIL N DO 00054700
RSS ~ RSS + B[I] | A[I,P] ; 00054800
RMS ~ RSS / N ; 00054900
COMMENT COMPUTATION OF ERROR SUM SQUARE ; 00055000
C ~ YSQ[P-N] ; 00055100
ERS ~ C - RSS ; 00055200
COMMENT COMPUTATION OF ERROR MEAN SQUARE AND 00055300
STANDARD ERROR OF ESTIMATE ; 00055400
K ~ M-1 ; 00055500
L ~ K-N ; 00055600
EMS ~ ERS / L ; 00055700
SE ~ SQRT (EMS) ; 00055800
COMMENT COMPUTATION OF COEFFICIENT OF DETERMINATION ; 00055900
CD ~ RSS / C ; 00056000
COMMENT MULTIPLE CORRELATION COEFFICIENT ; 00056100
MCC ~ SQRT (CD) ; 00056200
COMMENT COMPUTATION OF STANDARD DEVIATIONS AND T 00056300
VALUES OF REGRESSION COEFFICIENTS ; 00056400
FOR I ~ 1 STEP 1 UNTIL N DO 00056500
BEGIN 00056600
S ~ SQRT (EMS | A[I,I]) ; 00056700
SB[I] ~ S ; 00056800
X[I] ~ B[I] / S 00056900
END ; 00057000
I ~ P-N ; 00057100
WRITE (PRINT,FRM8,I) ; 00057200
WRITE (PRINT,FRM9,B[0]) ; 00057300
WRITE (PRINT,FRM4,OUT3) ; 00057400
WRITE (PRINT,FRM10,ERS,EMS,SE,CD,MCC) ; 00057500
WRITE (PRINT,FRM11) ; 00057600
WRITE (PRINT,FRM4,OUT4) ; 00057700
WRITE (PRINT,FRM12) ; 00057800
WRITE (PRINT,FRM4,OUT5) ; 00057900
COMMENT ANALYSIS OF VARIANCE ; 00058000
F ~ RMS / EMS ; 00058100
WRITE (PRINT,FRM13,N,RSS,RMS,F,L,ERS,EMS,K,C); 00058200
COMMENT COMPUTATION OF RESIDUES ; 00058300
IF RES THEN 00058400
BEGIN 00058500
REWIND(TAPEA) ; 00058600
SWICH ~ TRUE ; 00058700
WRITE (PRINT,FRM14) ; 00058800
HI ~ -0.9@+49 ; 00058900
LO ~ 0.9@+49 ; 00059000
GO TO RERED ; 00059100
RESDU: CD ~ HI - LO ; 00059200
F ~ CD / SE ; 00059300
WRITE (PRINT,FRM16,CD,F) 00059400
END 00059500
END ; 00059600
IF PCC THEN 00059700
BEGIN 00059800
COMMENT CONSIDER EACH DEPENDENT VARIABLE SEPARATELY ; 00059900
FOR P ~ N+1 STEP 1 UNTIL Q DO 00060000
BEGIN 00060100
COMMENT GET AUGMENTED CORRELATION COEFFICIENT MATRIX ; 00060200
L ~ P-N ; 00060300
FOR I ~ 1 STEP 1 UNTIL N+1 DO 00060400
A[I,I] ~ 1 ; 00060500
FOR K ~ 1 STEP 1 UNTIL N DO 00060600
BEGIN 00060700
FOR J ~ K+1 STEP 1 UNTIL N DO 00060800
A[K,J] ~ A[J,K] ; 00060900
A[K,N+1] ~ A[K,N+1] / SQRT (A[K,0] | YSQ[L]) 00061000
END ; 00061100
WRITE (PRINT,FRM8,L) ; 00061200
N ~ N+1 ; 00061300
IF CC THEN 00061400
BEGIN 00061500
WRITE (PRINT,FRM17) ; 00061600
FOR I ~ 1 STEP 1 UNTIL N DO 00061700
WRITE (PRINT,FRM2,OUT2) 00061800
END ; 00061900
INVERT (N, A) ; 00062000
IF CCINV THEN 00062100
BEGIN 00062200
WRITE (PRINT,FRM18) ; 00062300
FOR I ~ 1 STEP 1 UNTIL N DO 00062400
WRITE (PRINT,FRM2,OUT2) 00062500
END ; 00062600
COMMENT DETERMINE PARTIAL CORRELATION COEFFICIENTS ; 00062700
R ~ A[N,N] ; 00062800
N ~ N-1 ; 00062900
FOR J ~ 1 STEP 1 UNTIL N DO 00063000
X[J] ~ -A[J,N+1] / SQRT (R | A[J,J]) ; 00063100
WRITE (PRINT,FRM19) ; 00063200
WRITE (PRINT,FRM4,OUT5) ; 00063300
COMMENT MOVE COLUMN FOR NEXT DEPENDENT VARIABLE ; 00063400
IF P+1 { Q THEN 00063500
BEGIN 00063600
FOR J ~ 1 STEP 1 UNTIL N+1 DO 00063700
A[J,N+1] ~ A[J,P+1] 00063800
END 00063900
END 00064000
END 00064100
END ; 00064200
IF INP>0 THEN 00064300
IF SAVET THEN CLOSE(TIN[INP],RELEASE) ELSE 00064400
CLOSE(TIN[INP],PURGE); 00064500
NOMO: END PROGRAM. 00064600
LAST CARD ON CRDIMG TAPE 99999999