File: RESULT.DA of Tape: Various/ETH/eth11-2
(Source file text)
************************************************************ COLROW.RES ************************************************************ ORIGINAL MATRIX AND ITS TRANSPOSE: 2.0 1.0 4.0 2.0 1.0 -2.0 1.0 0.0 4.0 1.0 0.0 0.0 -2.0 0.0 2.0 4.0 4.0 2.0 COL 1 <=> COL 2 ROW 1 <=> ROW 2 1.0 2.0 4.0 1.0 0.0 0.0 0.0 1.0 4.0 2.0 1.0 -2.0 0.0 -2.0 2.0 4.0 4.0 2.0 COL 2 -2*COL 1 => COL 2 ROW 2 -2*ROW 1 => ROW 2 COL 3 -4*COL 1 => COL 3 ROW 3 -4*ROW 1 => ROW 1 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 4.0 0.0 1.0 -2.0 0.0 -2.0 2.0 0.0 4.0 2.0 3 TRANSFORMATIONS LATER: 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 ************************************************************ DASCR.RES ************************************************************ DATA SCREENING PROBLEM 1 SUBSET VECTOR 1 1. 2 0. 3 1. 4 1. 5 1. 6 1. 7 1. 8 1. 9 1. 10 1. 11 1. 12 0. 13 1. 14 1. 15 0. 16 1. 17 1. 18 1. 19 1. 20 1. 21 1. 22 1. 23 1. 24 1. 25 0. 26 1. 27 1. 28 1. 29 1. 30 1. 31 1. 32 1. 33 1. 34 0. 35 1. 36 1. 37 1. 38 1. 39 1. 40 1. 41 0. 42 1. 43 1. 44 1. 45 1. 46 1. 47 1. 48 1. 49 1. 50 1. 51 0. 52 1. 53 1. 54 1. 55 1. 56 1. 57 1. 58 1. 59 1. 60 1. 61 1. 62 1. 63 1. 64 1. 65 1. 66 1. 67 1. 68 1. 69 1. 70 1. 71 1. 72 1. 73 1. 74 1. 75 1. 76 1. 77 1. 78 0. 79 1. 80 1. 81 1. 82 1. 83 1. 84 1. 85 1. 86 1. 87 0. 88 0. 89 1. 90 1. 91 1. 92 1. 93 1. 94 1. 95 1. 96 1. 97 1. 98 1. 99 1. 100 1. SUMMARY STATISTICS FOR VARIABLE 3 TOTAL = 14492.000 AVERAGE = 161.022 STANDARD DEVIATION = 19.329 MINIMUM = 114.000 MAXIMUM = 225.000 HISTOGRAM 1 FREQUENCY 1 2 2 1 3 4 4 10 23 14 8 4 3 2 1 2 1 1 1 3 -------------------------------------------------------------------------------- 23 * 22 * 21 * 20 * 19 * 18 * 17 * 16 * 15 * 14 * * 13 * * 12 * * 11 * * 10 * * * 9 * * * 8 * * * * 7 * * * * 6 * * * * 5 * * * * 4 * * * * * * * 3 * * * * * * * * * * 2 * * * * * * * * * * * * * * 1 * * * * * * * * * * * * * * * * * * * * -------------------------------------------------------------------------------- INTERVAL 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 CLASS END OF CASE ************************************************************ EXPON.RES ************************************************************ TRIPLE EXPONENTIAL SMOOTHING.....SAMPLE NUMBER OF DATA POINTS 38 SMOOTHING CONSTANT 0.100 COEFFICIENTS A B C ORIGINAL 0.00000 0.00000 0.00000 UPDATED 484.80164 1.71265 0.04165 SMOOTHED DATA INPUT DATA (FORECAST) 430.00000 430.00000 426.00000 426.00000 422.00000 422.00000 419.00000 418.00000 414.00000 414.29999 413.00000 410.23999 412.00000 407.09000 409.00000 404.66849 411.00000 402.22418 417.00000 401.25150 422.00000 402.64661 430.00000 405.61713 438.00000 410.71429 441.00000 417.47040 447.00000 423.99921 455.00000 431.18350 461.00000 439.43430 453.00000 447.87912 448.00000 452.21606 449.00000 454.10571 454.00000 455.80731 463.00000 458.54630 470.00000 463.30530 472.00000 469.06439 476.00000 474.09521 481.00000 479.11014 483.00000 484.38596 487.00000 488.94589 491.00000 493.50827 492.00000 498.05420 485.00000 501.66983 486.00000 502.12534 482.00000 502.44421 479.00000 501.16714 479.00000 498.92722 476.00000 496.84116 472.00000 494.00781 470.00000 490.30405 ************************************************************ FACTO.RES ************************************************************ FACTOR ANALYSIS.....SAMPLE NO. OF CASES 23 NO. OF VARIABLES 9 MEANS 9.30435 12.60870 23.00000 18.00000 12.86957 34.82609 54.00000 19.39130 25.13043 STANDARD DEVIATIONS 2.70412 4.59979 5.33428 8.33394 3.13781 9.29150 14.87829 5.56563 6.09250 CORRELATION COEFFICIENTS ROW 1 1.00000 0.34987 0.11975 0.12102 0.21917 -0.09549 0.20901 -0.12908 0.05818 ROW 2 0.34987 1.00000 0.41311 0.35572 -0.08243 -0.09100 0.29622 -0.32044 0.35387 ROW 3 0.11975 0.41311 1.00000 0.41512 -0.43179 -0.08346 -0.10252 0.03215 0.27833 ROW 4 0.12102 0.35572 0.41512 1.00000 -0.31288 -0.50365 0.49855 0.22539 0.59890 ROW 5 0.21917 -0.08243 -0.43179 -0.31288 1.00000 -0.23000 0.03310 -0.00475 -0.30341 ROW 6 -0.09549 -0.09100 -0.08346 -0.50365 -0.23000 1.00000 -0.44520 -0.25441 -0.37456 ROW 7 0.20901 0.29622 -0.10252 0.49855 0.03310 -0.44520 1.00000 -0.28050 0.60124 ROW 8 -0.12908 -0.32044 0.03215 0.22539 -0.00475 -0.25441 -0.28050 1.00000 0.13516 ROW 9 0.05818 0.35387 0.27833 0.59890 -0.30341 -0.37456 0.60124 0.13516 1.00000 EIGENVALUES 2.94991 1.64372 1.55518 1.06583 CUMULATIVE PERCENTAGE OF EIGENVALUES 0.32777 0.51040 0.68320 0.80163 EIGENVECTORS VECTOR 1 0.16438 0.34836 0.28797 0.49661 -0.16806 -0.32922 0.39935 0.01287 0.47518 VECTOR 2 0.34837 0.06551 -0.44647 -0.11893 0.61210 -0.26428 0.38860 -0.24844 -0.06014 VECTOR 3 -0.29900 -0.46825 -0.23533 0.17378 0.14467 -0.43545 0.01880 0.61587 0.12470 VECTOR 4 0.54441 0.16909 0.38288 0.04162 0.30537 -0.16163 -0.43411 0.40283 -0.23789 FACTOR MATRIX ( 4 FACTORS) VARIABLE 1 0.28232 0.44663 -0.37288 0.56205 VARIABLE 2 0.59832 0.08399 -0.58395 0.17457 VARIABLE 3 0.49460 -0.57241 -0.29348 0.39528 VARIABLE 4 0.85294 -0.15248 0.21671 0.04297 VARIABLE 5 -0.28865 0.78476 0.18042 0.31526 VARIABLE 6 -0.56544 -0.33883 -0.54304 -0.16687 VARIABLE 7 0.68590 0.49822 0.02345 -0.44817 VARIABLE 8 0.02211 -0.31852 0.76804 0.41588 VARIABLE 9 0.81614 -0.07710 0.15551 -0.24559 ITERATION VARIANCES CYCLE 0 0.211289 1 0.336137 2 0.397023 3 0.403008 4 0.405181 5 0.405535 6 0.405588 7 0.405595 8 0.405596 9 0.405596 10 0.405596 11 0.405596 12 0.405596 13 0.405596 ROTATED FACTOR MATRIX ( 4 FACTORS) VARIABLE 1 0.05498 0.07184 -0.05578 0.85019 VARIABLE 2 0.29329 -0.39653 -0.35581 0.60551 VARIABLE 3 0.05114 -0.82495 0.15069 0.32985 VARIABLE 4 0.74041 -0.41402 0.24580 0.13972 VARIABLE 5 -0.09091 0.80664 0.13525 0.39229 VARIABLE 6 -0.68287 -0.21580 -0.44984 -0.20503 VARIABLE 7 0.86998 0.18300 -0.34919 0.08830 VARIABLE 8 0.03602 -0.05500 0.91377 -0.15963 VARIABLE 9 0.80532 -0.32760 0.00994 -0.02379 CHECK ON COMMUNALITIES VARIABLE ORIGINAL FINAL DIFFERENCE 1 0.73412 0.73412 0.00000 2 0.73650 0.73650 0.00000 3 0.81466 0.81466 0.00000 4 0.79957 0.79957 0.00000 5 0.83111 0.83111 0.00000 6 0.75727 0.75727 0.00000 7 0.92009 0.92008 0.00000 8 0.86478 0.86478 0.00000 9 0.75653 0.75653 0.00000 ************************************************************ FORR.RES ************************************************************ RESULTS OF FORIF FUNCTION:' F(X)=X**2+X ON -PI < X < PI, F(X+2*PI)=F(X) COEFFICIENTS: N A(N) A(N)-EXACT B(N) 0 3.288 3.290 0.000 1 -3.997 -4.000 2.001 2 0.997 1.000 -1.003 3 -0.442 -0.444 0.671 4 0.247 0.250 -0.506 5 -0.157 -0.160 0.407 6 0.108 0.111 -0.342 7 -0.079 -0.082 0.296 8 0.059 0.063 -0.261 9 -0.046 -0.049 0.235 10 0.037 0.040 -0.214 11 -0.030 -0.033 0.198 12 0.024 0.028 -0.184 RESULTS OF FORIT SAME FUNCTION COEFFICIENTS: N A(N) A(N)-EXACT B(N) 0 3.288 3.290 0.000 1 -3.997 -4.000 2.001 2 0.997 1.000 -1.003 3 -0.442 -0.444 0.671 4 0.247 0.250 -0.506 5 -0.157 -0.160 0.407 6 0.108 0.111 -0.342 7 -0.079 -0.082 0.296 8 0.059 0.063 -0.261 9 -0.046 -0.049 0.235 10 0.037 0.040 -0.214 11 -0.030 -0.033 0.198 12 0.024 0.028 -0.184 ************************************************************ INTEG.RES ************************************************************ USE OF RK1 WITH Y' = Y + X SOLN. IS Y=EXP(X)-X-1 CASE 1: XFINAL= 1.0000 ANSY= 0.7183 (SHOULD BE 0.7183) CASE 2: ANSX= 1.0000 (SHOULD BE 1.0) YFINAL= 0.7183 USE OF QATR WITH Y=EXP(X)-1 ON (0,1) VALUE OF INTEGRAL = 0.7183 IER =0 ************************************************************ MACHK1.RES ************************************************************ ORIGINAL 4X4 MATRIX: 1.00 3.00 4.70 0.00 2.00 2.60 -2.00 0.00 -1.70 1.90 3.40 0.00 0.00 1.00 0.00 0.00 TOP 3X3 CORNER EXTRACTED BY ARRAY: 1.00 3.00 4.70 2.00 2.60 -2.00 -1.70 1.90 3.40 ADD TO IT THE FOLLOWING ARRAY: 1.20 6.40 -1.00 3.40 0.00 0.00 -2.90 0.00 2.50 SUM OF TWO ARRAYS USING GMADD IS: 2.20 9.40 3.70 5.40 2.60 -2.00 -4.60 1.90 5.90 SUM OF TWO ARRAYS USING MADD IS: 2.20 9.40 3.70 5.40 2.60 -2.00 -4.60 1.90 5.90 SUBTRACTING SECOND ARRAY OUT BY GMSUB: 1.00 3.00 4.70 2.00 2.60 -2.00 -1.70 1.90 3.40 TRANSPOSE MATRIX VIA GMTRA IS: 1.00 2.00 -1.70 3.00 2.60 1.90 4.70 -2.00 3.40 THE TRANSPOSE SQUARED VIA GMPRD IS: -0.9900 10.6000 -3.6800 19.7300 8.9600 6.3000 14.6800 -2.6000 -0.2300 WHICH SHOULD ALSO BE (VIA GTPRD): -0.9900 10.6000 -3.6800 19.7300 8.9600 6.3000 14.6800 -2.6000 -0.2300 ************************************************************ MACHK2.RES ************************************************************ ORIGINAL MATRIX -1.0 -2.0 -3.0 -4.0 6.0 0.0 3.0 -5.0 7.0 1.0 4.0 -6.0 8.0 2.0 5.0 -7.0 3X2 SUBMATRIX AT ELEMENT (2,3) USING XCPY 0.0 3.0 1.0 4.0 2.0 5.0 SAME MATRIX COPIED USING MCPY 0.0 3.0 1.0 4.0 2.0 5.0 TRANSPOSE OF MATRIX TIMES MATRIX USING TPRD 5.0 14.0 14.0 50.0 SAME PRODUCT USING MATA 5.0 14.0 14.0 50.0 DIAGONAL ELEMENTS USING DCPY 5.0 50.0 REPLACING DIAGONAL BY 2.0 USING DCLA 2.0 14.0 14.0 2.0 ADJOINING THESE TWO MATRICES USING CTIE 2.0 14.0 5.0 14.0 2.0 50.0 TAKE THIS ROW VECTOR 1.0 2.0 10.0 ADJOINING THESE TWO MATRICES USING RTIE 2.0 14.0 5.0 14.0 2.0 50.0 1.0 2.0 10.0 PARTITIONING BETWEEN COLS. 2 AND 3 USING CCUT 2.0 14.0 5.0 14.0 2.0 50.0 1.0 2.0 10.0 PARTITIONING BETWEEN ROWS 1 AND 2 USING RCUT 2.0 14.0 14.0 2.0 1.0 2.0 ************************************************************ MACHK3.RES ************************************************************ STORE GOODS SOLD EXPECTED TO BE SOLD 1 10. 6. 9. 24. 13. 5. 4. 10. 25. 12. 2 12. 3. 2. 17. 15. 12. 4. 3. 20. 17. 3 8. 2. 0. 22. 15. 10. 4. 3. 20. 15. 4 16. 9. 7. 19. 24. 12. 6. 6. 20. 20. STORE 1: IS AHEAD 5. UNIT(S) OF PRODUCT 1 IS AHEAD 2. UNIT(S) OF PRODUCT 2 IS AHEAD 1. UNIT(S) OF PRODUCT 5 STORE 2: STORE 3: IS AHEAD 2. UNIT(S) OF PRODUCT 4 STORE 4: IS AHEAD 4. UNIT(S) OF PRODUCT 1 IS AHEAD 3. UNIT(S) OF PRODUCT 2 IS AHEAD 1. UNIT(S) OF PRODUCT 3 IS AHEAD 4. UNIT(S) OF PRODUCT 5 STORE 1: IS BEHIND 1. UNIT(S) OF PRODUCT 3 IS BEHIND 1. UNIT(S) OF PRODUCT 4 STORE 2: IS BEHIND 1. UNIT(S) OF PRODUCT 2 IS BEHIND 1. UNIT(S) OF PRODUCT 3 IS BEHIND 3. UNIT(S) OF PRODUCT 4 IS BEHIND 2. UNIT(S) OF PRODUCT 5 STORE 3: IS BEHIND 2. UNIT(S) OF PRODUCT 1 IS BEHIND 2. UNIT(S) OF PRODUCT 2 IS BEHIND 3. UNIT(S) OF PRODUCT 3 STORE 4: IS BEHIND 1. UNIT(S) OF PRODUCT 4 STORE SOLD/EXP (PER CENT) TOTAL SALES (ALL STORES) 1 110.71 26.61 2 87.50 21.03 3 90.38 20.17 4 117.19 32.19 PRODUCT STORES ACCORDING TO INCREASING SALES 1 3. 1. 2. 4. 2 3. 2. 1. 4. 3 3. 2. 4. 1. 4 2. 4. 3. 1. 5 1. 2. 3. 4. ************************************************************ MACHK4.RES ************************************************************ ORIGINAL MATRIX: 1.00 2.00 3.00 1.00 0.00 -1.00 -1.00 3.00 2.00 MATRIX OF ONES BY SCLA: 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 SIMULATE ADDITION BY SADD: 2.00 3.00 4.00 2.00 1.00 0.00 0.00 4.00 3.00 EXPAND DIAGONAL TO GENERAL BY MSTR: 1.00 2.00 3.00 1.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 3.00 PRODUCT OF MATRICES USING MPRD: 2.00 3.00 4.00 4.00 2.00 0.00 0.00 12.00 9.00 ADDING (2,2,0) TO THE FIRST COL. BY CADD: 4.00 3.00 4.00 6.00 2.00 0.00 0.00 12.00 9.00 FIRST ROW BY RCPY: 4.00 3.00 4.00 DIVIDING 3X3 MATRIX BY 2. AND SUBTRACTING 1.9 FROM ROW VECTOR: 2.00 1.50 2.00 2.10 3.00 1.00 0.00 1.10 0.00 6.00 4.50 2.10 TABULATING THE COLUMNS BY CTAB: 1.50 4.00 0.00 1.00 3.00 0.00 6.00 4.50 0.00 NUMBER OF OLD COLUMNS USED IN NEW COLUMNS: 1.00 2.00 0.00 0.00 COLUMNS ALIGNED BY NUMBER OF OLD COLS. IN THEM VIA CSRT: 0.00 1.50 4.00 0.00 1.00 3.00 0.00 6.00 4.50 TABULATING THE ROWS BY RTAB: 0.00 1.50 4.00 0.00 1.00 3.00 0.00 0.00 0.00 NUMBER OF OLD ROWS USED IN NEW ROWS: 1.00 1.00 0.00 1.00 ADDING 1.5 TO EACH ELEMENT AND TAKING THE RECIPROCAL: 0.67 0.33 0.18 0.67 0.40 0.22 0.67 0.67 0.67 ************************************************************ MDISC.RES ************************************************************ DISCRIMINANT ANALYSIS...SAMPLE NUMBER OF GROUPS 4 NUMBER OF VARIABLES 6 SAMPLE SIZES.. GROUP 1 8 2 7 3 7 4 8 GROUP 1 MEANS 7.87500 7.50000 4.62500 7.25000 18.50000 8.87500 GROUP 2 MEANS 7.14286 8.57143 9.57143 7.85714 20.14286 12.57143 GROUP 3 MEANS 7.85714 7.85714 8.85714 9.28571 17.42857 10.14286 GROUP 4 MEANS 7.75000 8.00000 6.75000 7.37500 21.37500 9.25000 POOLED DISPERSION MATRIX ROW 1 19.61882 -11.16209 -5.21497 -6.09890 -22.74863 -9.54052 ROW 2 -11.16209 11.94506 5.61813 1.91758 22.60989 10.66758 ROW 3 -5.21497 5.61813 39.45948 3.93681 16.23489 9.34547 ROW 4 -6.09890 1.91758 3.93681 9.83310 4.62157 3.83791 ROW 5 -22.74863 22.60989 16.23489 4.62157 62.78640 30.18269 ROW 6 -9.54052 10.66758 9.34547 3.83791 30.18269 29.57486 COMMON MEANS 7.66667 7.96667 7.33333 7.90000 19.40000 10.13333 GENERALIZED MAHALANOBIS D-SQUARE 12.78068 DISCRIMINANT FUNCTION 1 CONSTANT * COEFFICIENTS -28.49430 * 2.63869 2.12202 -0.17167 1.91198 0.58477 -0.40477 DISCRIMINANT FUNCTION 2 CONSTANT * COEFFICIENTS -29.21015 * 2.61929 2.25227 -0.04816 1.88318 0.43732 -0.21784 DISCRIMINANT FUNCTION 3 CONSTANT * COEFFICIENTS -31.86429 * 2.74449 2.39586 -0.06457 2.13259 0.42620 -0.32718 DISCRIMINANT FUNCTION 4 CONSTANT * COEFFICIENTS -30.82029 * 2.71859 2.03934 -0.13352 1.94538 0.71678 -0.48761 EVALUATION OF CLASSIFICATION FUNCTIONS FOR EACH OBSERVATION GROUP 1 PROBABILITY ASSOCIATED WITH LARGEST OBSERVATION LARGEST DISCRIMINANT FUNCTION FUNCTION NO. 1 0.38065 4 2 0.37044 1 3 0.36261 1 4 0.44190 1 5 0.34453 1 6 0.44217 3 7 0.31786 2 8 0.29273 2 GROUP 2 PROBABILITY ASSOCIATED WITH LARGEST OBSERVATION LARGEST DISCRIMINANT FUNCTION FUNCTION NO. 1 0.51027 2 2 0.50062 3 3 0.34760 4 4 0.43132 3 5 0.44282 4 6 0.36406 2 7 0.28514 2 GROUP 3 PROBABILITY ASSOCIATED WITH LARGEST OBSERVATION LARGEST DISCRIMINANT FUNCTION FUNCTION NO. 1 0.67612 3 2 0.46628 2 3 0.54635 2 4 0.66689 3 5 0.30599 2 6 0.33043 4 7 0.39007 3 GROUP 4 PROBABILITY ASSOCIATED WITH LARGEST OBSERVATION LARGEST DISCRIMINANT FUNCTION FUNCTION NO. 1 0.33727 4 2 0.37474 1 3 0.62341 4 4 0.45696 1 5 0.52173 2 6 0.34062 4 7 0.43135 4 8 0.27848 1 ************************************************************ NONLIN.RES ************************************************************ SOLUTION TO X**9-1=0 NEAR 1 MUELLER'S ITERATION ROOT = 1.00000 FUNCTION = -0.00000 IER = 0 NEWTON'S ITERATION ROOT = 1.00000 FUNCTION = 0.00004 IER= 0 WEGSTEIN'S ITERATION ROOT = 1.00001 X-F(X) = -0.00009 IER= 0 ************************************************************ NPAR2.RES ************************************************************ KENDALL WTEST: 8 VARIABLES, 3 CASES: 4. 7. 7. 2. 2. 4. 1. 1. 2. 7. 6. 6. 6. 4. 5. 3. 5. 3. 5. 3. 1. 8. 8. 8. COEF. OF CONCORDANCE = 0.0163 CHI-SQUARE = 0.000 SHOULD BE 0 DEG OF FREEDOM = 0 MOMENTS - FREQUENCY DIST. OF ABOVE ARRAY: NUMBER FREQUENCY 1 3. 2 3. 3 3. 4 3. 5 3. 6 3. 7 3. 8 3. 9 0. 10 0. MOMENT VALUE 1 4.000 2 5.250 3 0.000 4 48.562 Q-TEST - DICHOTOMOUS DATA (8 SETS/3 GROUPS) 0. 1. 1. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 0. 1. 1. 1. 0. 1. 0. 0. 1. 1. 1. COCHRAN Q-STATISTIC = 0.500 DEG OF FREEDOM = 2 ************************************************************ POLY1.RES ************************************************************ F1(X)=12X**2+2, F2(X)=X**3+4X**2+4, F3(X)=X F4(X)=2*F3(X)*F2(X)+F1(X) (SHOULD BE 2*(X+1)**4) COEFFICIENT OF X**0 IS 2.0000 COEFFICIENT OF X**1 IS 8.0000 COEFFICIENT OF X**2 IS 12.0000 COEFFICIENT OF X**3 IS 8.0000 COEFFICIENT OF X**4 IS 2.0000 F5(X)=F4(X)/(X+1)**2 (SHOULD BE 2(X+1)**2) COEFFICIENT OF X**0 IS 2.0000 COEFFICIENT OF X**1 IS 4.0000 COEFFICIENT OF X**2 IS 2.0000 REMAINDER POLYNOMIAL (IF ANY) COEFFICIENT OF X**0 IS 0.0000 F6(X)=INTEGRAL OF F5(X) (SHOULD BE [2(X+1)**3]/3 CONSTANT TERM SHOULD BE ZERO COEFFICIENT OF X**0 IS 0.0000 COEFFICIENT OF X**1 IS 2.0000 COEFFICIENT OF X**2 IS 2.0000 COEFFICIENT OF X**3 IS 0.6667 AF6=DEFINITE INTEGRAL OF F5(X) ON [1,3] VALUE IS 0.3733333E 02 DERIVATIVE OF X**3+4X**2+4 COEFFICIENT OF X**0 IS 0.0000 COEFFICIENT OF X**1 IS 8.0000 COEFFICIENT OF X**2 IS 3.0000 ************************************************************ POLY2.RES ************************************************************ ADDING THE FOLLOWING POLYNOMIALS: ( 1.0)X**3 +( 2.0)X**2 +( -9.0)X +(-72.0) ( 6.0)X**2 +( -2.0)X +( 26.0) SUM IS: ( 1.0)X**3 +( 8.0)X**2 +(-11.0)X +(-46.0) SUBTRACT THE FOLLOWING POLYNOMIAL: ( 8.0)X**2 +( -8.0)X +( 6.0) RESULT IS: ( 1.0)X**3 +( 0.0)X**2 +( -3.0)X +(-52.0) NOW PRECOMPOSE WITH X+2: RESULT IS: ( 1.0)X**3 +( 6.0)X**2 +( 9.0)X +(-50.0) TRANSLATING INTO FACTORS OF X-2: RESULT IS: ( 1.0)X**3 +( 12.0)X**2 +( 45.0)X +( 0.0) G.C.D. OF ABOVE POLYNOMIAL AND X**2+12X+45 IS: RESULT IS: ( 1.0)X**2 +( 12.0)X +( 45.0) THE FUNCTION AT X=-6 EQUALS 9.000 ITS DERIVATIVE AN X=-6 EQUALS 0.000 ************************************************************ QDINT.RES ************************************************************ INTEGRATION OF TABULATED VALUES FOR DY/DX USING SUBROUTINE QSF FUNCTION 12345 20 TABULATED VALUES INTERVAL = 0.10000000E 01 RESULTANT VALUE OF INTEGRAL AT EACH STEP IS 0.00000000E 00 0.19999993E 01 0.39999998E 01 0.59999990E 01 0.79999995E 01 0.99999990E 01 0.11999999E 02 0.13999999E 02 0.15999999E 02 0.17999998E 02 0.19999998E 02 0.21999998E 02 0.23999998E 02 0.25999998E 02 0.27999998E 02 0.29999998E 02 0.31999998E 02 0.33999996E 02 0.35999996E 02 0.37999996E 02 INTEGRATION OF TABULATED VALUES FOR DY/DX USING SUBROUTINE QSF FUNCTION 543 10 TABULATED VALUES INTERVAL = 0.10000000E 01 RESULTANT VALUE OF INTEGRAL AT EACH STEP IS 0.00000000E 00 0.14999995E 01 0.39999998E 01 0.74999990E 01 0.11999999E 02 0.17499998E 02 0.23999998E 02 0.31499998E 02 0.39999996E 02 0.49499996E 02 ************************************************************ RKGSTT.RES ************************************************************ RESULTS OF RKGS ON: Y1'=1/Y2 AND Y1(0)=1 Y2'=-1/Y1 AND Y2(0)=1 X Y1(X) Y1(ACTUAL) Y2(X) Y2(ACTUAL 0.00 0.10000000E 01 0.10000000E 01 0.10000000E 01 0.10000000E 01 0.10 0.11051704E 01 0.11051708E 01 0.90483779E 00 0.90483737E 00 0.20 0.12214016E 01 0.12214029E 01 0.81873137E 00 0.81873065E 00 0.30 0.13498570E 01 0.13498588E 01 0.74081898E 00 0.74081802E 00 0.40 0.14918222E 01 0.14918247E 01 0.67032099E 00 0.67031997E 00 0.50 0.16487180E 01 0.16487216E 01 0.60653168E 00 0.60653055E 00 0.60 0.18221146E 01 0.18221190E 01 0.54881281E 00 0.54881161E 00 0.70 0.20137472E 01 0.20137532E 01 0.49658650E 00 0.49658519E 00 0.80 0.22255340E 01 0.22255411E 01 0.44933018E 00 0.44932884E 00 0.90 0.24595945E 01 0.24596038E 01 0.40657094E 00 0.40656957E 00 1.00 0.27182713E 01 0.27182820E 01 0.36788076E 00 0.36787939E 00 ************************************************************ RK2INT.RES ************************************************************ SOLUTION OF DY/DX=FCN(X,Y) BY RK2 SUBROUTINE H= 0.010 X0= 1.000 Y0= 0.000 X Y(X) 1.10 0.95310189E-01 1.20 0.18232158E 00 1.30 0.26236433E 00 1.40 0.33647227E 00 1.50 0.40546522E 00 1.60 0.47000378E 00 1.70 0.53062844E 00 1.80 0.58778691E 00 1.90 0.64185417E 00 2.00 0.69314748E 00 2.10 0.74193764E 00 2.20 0.78845775E 00 2.30 0.83290946E 00 2.40 0.87546909E 00 2.50 0.91629112E 00 2.60 0.95551175E 00 2.70 0.99325210E 00 2.80 0.10296198E 01 2.90 0.10647111E 01 3.00 0.10986125E 01 3.10 0.11314026E 01 3.20 0.11631513E 01 3.30 0.11939230E 01 3.40 0.12237760E 01 3.50 0.12527636E 01 3.60 0.12809345E 01 3.70 0.13083333E 01 3.80 0.13350016E 01 3.90 0.13609771E 01 4.00 0.13862948E 01 ************************************************************ SMPRT.RES ************************************************************ REAL AND COMPLEX ROOTS OF A POLYNOMIAL USING SUBROUTINE POLRT FOR POLYNOMIAL 360 OF ORDER 9 THE INPUT COEFFICIENTS ARE -0.1000000E 01 0.0000000E 00 0.0000000E 00 0.0000000E 00 0.0000000E 00 0.0000000E 00 0.1000000E 01 0.0000000E 00 0.0000000E 00 0.1000000E 01 REAL ROOT COMPLEX ROOT 0.2986479E 00 0.1004528E 01 0.2986479E 00 -0.1004528E 01 -0.1019271E 01 0.2436272E 00 -0.1019271E 01 -0.2436272E 00 0.9105257E 00 0.0000000E 00 0.7206227E 00 -0.7609006E 00 0.7206227E 00 0.7609006E 00 -0.4552628E 00 -0.7885383E 00 -0.4552628E 00 0.7885383E 00 ************************************************************ SOLVEN.RES ************************************************************ USE OF MINV ( 2.000 3.000 1.000 ) ( X ) ( 0.000) ( 1.000 5.000 2.000 ) ( Y ) = ( 6.000) ( 3.000 -1.000 1.000 ) ( Z ) ( 2.000) INVERSE OF COEFFICIENT MATRIX ( 0.538 -0.308 0.077 ) ( 0.385 -0.077 -0.231 ) ( -1.231 0.846 0.538 ) MULTIPLYING INVERSE BY CONSTANT VECTOR: X = -1.692 Y = -0.923 Z = 6.154 USE OF SIMQ FOR SOLUTION: X = -1.692 Y = -0.923 Z = 6.154 ************************************************************ TABLE1.RES ************************************************************ GAMMA FUNCTION X=1(.01)2, 2(1)34 X 1.000 0.10000000E 01 0.99432665E 00 0.98884541E 00 0.98355120E 00 0.97843927E 00 0.97350502E 00 0.96874404E 00 0.96415204E 00 0.95972490E 00 0.95545876E 00 1.100 0.95134979E 00 0.94739437E 00 0.94358897E 00 0.93993020E 00 0.93641484E 00 0.93303984E 00 0.92980212E 00 0.92669886E 00 0.92372727E 00 0.92088479E 00 1.200 0.91816872E 00 0.91557670E 00 0.91310644E 00 0.91075552E 00 0.90852195E 00 0.90640348E 00 0.90439826E 00 0.90250432E 00 0.90071976E 00 0.89904290E 00 1.300 0.89747196E 00 0.89600533E 00 0.89464152E 00 0.89337897E 00 0.89221627E 00 0.89115202E 00 0.89018494E 00 0.88931370E 00 0.88853711E 00 0.88785404E 00 1.400 0.88726342E 00 0.88676405E 00 0.88635498E 00 0.88603526E 00 0.88580400E 00 0.88566017E 00 0.88560307E 00 0.88563180E 00 0.88574564E 00 0.88594383E 00 1.500 0.88622564E 00 0.88659048E 00 0.88703769E 00 0.88756669E 00 0.88817686E 00 0.88886774E 00 0.88963872E 00 0.89048946E 00 0.89141947E 00 0.89242834E 00 1.600 0.89351565E 00 0.89468110E 00 0.89592433E 00 0.89724505E 00 0.89864296E 00 0.90011781E 00 0.90166944E 00 0.90329760E 00 0.90500218E 00 0.90678293E 00 1.700 0.90863979E 00 0.91057265E 00 0.91258138E 00 0.91466600E 00 0.91682649E 00 0.91906279E 00 0.92137492E 00 0.92376292E 00 0.92622685E 00 0.92876679E 00 1.800 0.93138283E 00 0.93407518E 00 0.93684381E 00 0.93968898E 00 0.94261080E 00 0.94560957E 00 0.94868553E 00 0.95183873E 00 0.95506948E 00 0.95837820E 00 1.900 0.96176493E 00 0.96523005E 00 0.96877396E 00 0.97239697E 00 0.97609925E 00 0.97988123E 00 0.98374337E 00 0.98768586E 00 0.99170911E 00 0.99581361E 00 2.000 0.10000000E 01 0.20000000E 01 0.60000000E 01 5.000 0.24000000E 02 0.12000000E 03 0.72000000E 03 8.000 0.50400000E 04 0.40320000E 05 0.36288000E 06 11.000 0.36288000E 07 0.39916800E 08 0.47900160E 09 14.000 0.62270208E 10 0.87178289E 11 0.13076743E 13 17.000 0.20922788E 14 0.35568745E 15 0.64023741E 16 20.000 0.12164511E 18 0.24329023E 19 0.51090945E 20 23.000 0.11240007E 22 0.25852020E 23 0.62044838E 24 26.000 0.15511212E 26 0.40329157E 27 0.10888870E 29 29.000 0.30488843E 30 0.88417625E 31 0.26525293E 33 32.000 0.82228397E 34 0.26313087E 36 0.86833191E 37 LEGENDRE POLYNOMIALS X=0(0.05)1 N=0(1)10 X 0.000 0.10000000E 01 0.00000000E 00-0.50000000E 00 0.00000000E 00 0.37500000E 00 0.00000000E 00-0.31250000E 00 0.00000000E 00 0.27343750E 00 0.00000000E 00 -0.24609375E 00 0.050 0.10000000E 01 0.50000001E-01-0.49624997E 00-0.74687496E-01 0.36565232E 00 0.92658706E-01-0.29621652E 00-0.10692756E 00 0.24916497E 00 0.11857896E 00 -0.21298347E 00 0.100 0.10000000E 01 0.10000000E 00-0.48499998E 00-0.14749999E 00 0.33793747E 00 0.17882875E 00-0.24882928E 00-0.19949293E 00 0.18032071E 00 0.21138763E 00 -0.12212500E 00 0.150 0.10000000E 01 0.15000001E 00-0.46625000E 00-0.21656252E 00 0.29283983E 00 0.25231677E 00-0.17464606E 00-0.26492289E 00 0.78305744E-01 0.25767365E 00 0.29618242E-02 0.200 0.10000000E 01 0.20000000E 00-0.43999997E 00-0.28000000E 00 0.23199998E 00 0.30752003E 00-0.80575973E-01-0.29351681E 00-0.39564829E-01 0.24595712E 00 0.12907206E 00 0.250 0.10000000E 01 0.25000000E 00-0.40625000E 00-0.33593750E 00 0.15771484E 00 0.33972168E 00 0.24276733E-01-0.27991867E 00-0.15245402E 00 0.17682442E 00 0.22120023E 00 0.300 0.10000000E 01 0.30000001E 00-0.36500001E 00-0.38250002E 00 0.72937496E-01 0.34538627E 00 0.12918122E 00-0.22407296E 00-0.23907463E 00 0.63700341E-01 0.25147638E 00 0.350 0.10000000E 01 0.35000002E 00-0.31624997E 00-0.41781250E 00-0.18722687E-01 0.32245472E 00 0.22251070E 00-0.13175780E 00-0.28116289E 00-0.68761878E-01 0.20731993E 00 0.400 0.10000000E 01 0.40000004E 00-0.25999996E 00-0.43999997E 00-0.11300003E 00 0.27063996E 00 0.29263601E 00-0.14590336E-01-0.26699924E 00-0.18876359E 00 0.96838973E-01 0.450 0.10000000E 01 0.45000005E 00-0.19624993E 00-0.44718754E 00-0.20497277E 00 0.19172210E 00 0.32898140E 00 0.11060127E 00-0.19453891E 00-0.26367033E 00 -0.50353136E-01 0.500 0.10000000E 01 0.50000006E 00-0.12499991E 00-0.43749994E 00-0.28906256E 00 0.89843631E-01 0.32324213E 00 0.22314461E 00-0.73638760E-01-0.26789850E 00 -0.18822873E 00 0.550 0.10000000E 01 0.55000007E 00-0.46249896E-01-0.40906250E 00-0.35903528E 00 -0.28194968E-01 0.27076617E 00 0.30073544E 00 0.73213063E-01-0.19126013E 00 -0.26575860E 00 0.600 0.10000000E 01 0.60000008E 00 0.40000170E-01-0.35999987E 00-0.40800005E 00 -0.15264022E 00 0.17209578E 00 0.32259837E 00 0.21233942E 00-0.46102744E-01 -0.24366260E 00 0.650 0.10000000E 01 0.65000010E 00 0.13375020E 00-0.28843731E 00-0.42841014E 00 -0.27049011E 00 0.34674365E-01 0.27370557E 00 0.30323866E 00 0.12901589E 00 -0.11358014E 00 0.700 0.10000000E 01 0.70000011E 00 0.23500025E 00-0.19249974E 00-0.41206244E 00 -0.36519897E 00-0.12528671E 00 0.15015496E 00 0.30670428E 00 0.27206022E 00 0.85806280E-01 0.750 0.10000000E 01 0.75000012E 00 0.34375027E 00-0.70312187E-01-0.35009745E 00 -0.41638190E 00-0.28077731E 00-0.34183979E-01 0.19760890E 00 0.31033173E 00 0.26437479E 00 0.800 0.10000000E 01 0.80000013E 00 0.46000034E 00 0.80000460E-01-0.23299961E 00 -0.39951989E 00-0.39179626E 00-0.23965180E 00-0.16656026E-01 0.18785471E 00 0.30052963E 00 0.850 0.10000000E 01 0.85000014E 00 0.58375043E 00 0.26031315E 00-0.50596952E-01 -0.28566390E 00-0.40299553E 00-0.39130256E 00-0.27101749E 00-0.87309211E-01 0.10291134E 00 0.900 0.10000000E 01 0.90000015E 00 0.71500045E 00 0.47250074E 00 0.20793846E 00 -0.41140232E-01-0.24116343E 00-0.36782447E 00-0.40968591E 00-0.36951107E 00 -0.26314676E 00 0.950 0.10000000E 01 0.95000017E 00 0.85375053E 00 0.71843851E 00 0.55409133E 00 0.37274554E 00 0.18745583E 00 0.11229534E-01-0.14402126E 00-0.26842001E 00 -0.35487905E 00 1.000 0.10000000E 01 0.10000001E 01 0.10000004E 01 0.10000007E 01 0.10000012E 01 0.10000018E 01 0.10000025E 01 0.10000033E 01 0.10000043E 01 0.10000054E 01 0.10000066E 01 FRESNEL INTEGRALS U=(PI*X**2)/2 X=0.1(.1)5.0 0.100 C(X) 0.99997588E-01 0.19992118E 00 0.29940110E 00 0.39748096E 00 0.49234444E 00 0.58109581E 00 0.65965277E 00 0.72284472E 00 0.76482350E 00 0.77989382E 00 0.100 S(X) 0.52359008E-03 0.41876133E-02 0.14117012E-01 0.33359468E-01 0.64732492E-01 0.11054034E 00 0.17213671E 00 0.24934182E 00 0.33977690E 00 0.43825975E 00 1.100 C(X) 0.76380712E 00 0.71543825E 00 0.63855088E 00 0.54309607E 00 0.44526127E 00 0.36546156E 00 0.32382685E 00 0.33363301E 00 0.39447078E 00 0.48825350E 00 1.100 S(X) 0.53649861E 00 0.62340188E 00 0.68633443E 00 0.71352625E 00 0.69750571E 00 0.63888752E 00 0.54919571E 00 0.45093846E 00 0.37334716E 00 0.34341571E 00 2.100 C(X) 0.58156419E 00 0.63628602E 00 0.62656176E 00 0.55496174E 00 0.45741338E 00 0.38893765E 00 0.39249375E 00 0.46749109E 00 0.56237578E 00 0.60572076E 00 2.100 S(X) 0.37427342E 00 0.45570454E 00 0.55315155E 00 0.61968982E 00 0.61918187E 00 0.54998976E 00 0.45291796E 00 0.39152861E 00 0.41014010E 00 0.49631202E 00 3.100 C(X) 0.56159467E 00 0.46632135E 00 0.40569460E 00 0.43849078E 00 0.53257120E 00 0.58795315E 00 0.54194695E 00 0.44809616E 00 0.42233217E 00 0.49842423E 00 3.100 S(X) 0.58181530E 00 0.59334987E 00 0.51928717E 00 0.42965016E 00 0.41524756E 00 0.49230802E 00 0.57497966E 00 0.56561965E 00 0.47520390E 00 0.42051575E 00 4.100 C(X) 0.57369512E 00 0.54172081E 00 0.44944263E 00 0.43833181E 00 0.52602392E 00 0.56723726E 00 0.49142867E 00 0.43379644E 00 0.50015849E 00 0.56363118E 00 4.100 S(X) 0.47579664E 00 0.56319797E 00 0.55399716E 00 0.46226978E 00 0.43427226E 00 0.51619011E 00 0.56714576E 00 0.49675250E 00 0.43506733E 00 0.49918869E 00 ************************************************************ TABLE2.RES ************************************************************ BESSEL FUNCTIONS N=0(1)10 X=0(1)20 X N BESJ IER BESY IER BESI IER BESK IER 0.0 0 0.00000E 00 2 0.00000E 00 2 0.10000E 01 0 0.00000E 00 2 1 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 2 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 3 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 4 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 5 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 6 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 7 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 8 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 9 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 10 0.00000E 00 2 0.00000E 00 2 0.00000E 00 0 0.00000E 00 2 1.0 0 0.76520E 00 0 0.88257E-01 0 0.12661E 01 0 0.42102E 00 0 1 0.44005E 00 0 -0.78121E 00 0 0.56516E 00 0 0.60191E 00 0 2 0.11490E 00 0 -0.16507E 01 0 0.13575E 00 0 0.16248E 01 0 3 0.19563E-01 0 -0.58215E 01 0 0.22168E-01 0 0.71013E 01 0 4 0.24766E-02 0 -0.33278E 02 0 0.27371E-02 0 0.44232E 02 0 5 0.24976E-03 0 -0.26041E 03 0 0.27146E-03 0 0.36096E 03 0 6 0.20938E-04 0 -0.25708E 04 0 0.22489E-04 0 0.36538E 04 0 7 0.15023E-05 0 -0.30589E 05 0 0.15992E-05 0 0.44207E 05 0 8 0.94223E-07 0 -0.42567E 06 0 0.99606E-07 0 0.62255E 06 0 9 0.52492E-08 0 -0.67802E 07 0 0.55184E-08 0 0.10005E 08 0 10 0.26306E-09 0 -0.12162E 09 0 0.27529E-09 0 0.18071E 09 0 2.0 0 0.22389E 00 0 0.51038E 00 0 0.22796E 01 0 0.11389E 00 0 1 0.57672E 00 0 -0.10703E 00 0 0.15906E 01 0 0.13987E 00 0 2 0.35283E 00 0 -0.61741E 00 0 0.68895E 00 0 0.25376E 00 0 3 0.12894E 00 0 -0.11278E 01 0 0.21274E 00 0 0.64739E 00 0 4 0.33996E-01 0 -0.27659E 01 0 0.50729E-01 0 0.21959E 01 0 5 0.70396E-02 0 -0.99360E 01 0 0.98257E-02 0 0.94310E 01 0 6 0.12024E-02 0 -0.46914E 02 0 0.16002E-02 0 0.49351E 02 0 7 0.17494E-03 0 -0.27155E 03 0 0.22464E-03 0 0.30554E 03 0 8 0.22180E-04 0 -0.18539E 04 0 0.27699E-04 0 0.21881E 04 0 9 0.24923E-05 0 -0.14560E 05 0 0.30442E-05 0 0.17810E 05 0 10 0.25154E-06 0 -0.12918E 06 0 0.30170E-06 0 0.16248E 06 0 3.0 0 -0.26005E 00 0 0.37685E 00 0 0.48808E 01 0 0.34740E-01 0 1 0.33906E 00 0 0.32467E 00 0 0.39534E 01 0 0.40156E-01 0 2 0.48609E 00 0 -0.16040E 00 0 0.22452E 01 0 0.61510E-01 0 3 0.30906E 00 0 -0.53854E 00 0 0.95975E 00 0 0.12217E 00 0 4 0.13203E 00 0 -0.91668E 00 0 0.32571E 00 0 0.30585E 00 0 5 0.43028E-01 0 -0.19059E 01 0 0.91206E-01 0 0.93777E 00 0 6 0.11394E-01 0 -0.54365E 01 0 0.21684E-01 0 0.34318E 01 0 7 0.25473E-02 0 -0.19840E 02 0 0.44721E-02 0 0.14665E 02 0 8 0.49344E-03 0 -0.87150E 02 0 0.81370E-03 0 0.71868E 02 0 9 0.84395E-04 0 -0.44496E 03 0 0.13237E-03 0 0.39796E 03 0 10 0.12928E-04 0 -0.25826E 04 0 0.19464E-04 0 0.24596E 04 0 4.0 0 -0.39715E 00 0 -0.16941E-01 0 0.11302E 02 0 0.11160E-01 0 1 -0.66043E-01 0 0.39793E 00 0 0.97595E 01 0 0.12483E-01 0 2 0.36413E 00 0 0.21590E 00 0 0.64222E 01 0 0.17401E-01 0 3 0.43017E 00 0 -0.18202E 00 0 0.33373E 01 0 0.29885E-01 0 4 0.28113E 00 0 -0.48894E 00 0 0.14163E 01 0 0.62229E-01 0 5 0.13209E 00 0 -0.79585E 00 0 0.50472E 00 0 0.15434E 00 0 6 0.49088E-01 0 -0.15007E 01 0 0.15446E 00 0 0.44809E 00 0 7 0.15176E-01 0 -0.37062E 01 0 0.41330E-01 0 0.14986E 01 0 8 0.40287E-02 0 -0.11471E 02 0 0.98099E-02 0 0.56932E 01 0 9 0.93860E-03 0 -0.42178E 02 0 0.20903E-02 0 0.24271E 02 0 10 0.19504E-03 0 -0.17833E 03 0 0.40379E-03 0 0.11491E 03 0 5.0 0 -0.17760E 00 0 -0.30852E 00 0 0.27240E 02 0 0.36911E-02 0 1 -0.32758E 00 0 0.14786E 00 0 0.24336E 02 0 0.40446E-02 0 2 0.46565E-01 0 0.36766E 00 0 0.17506E 02 0 0.53089E-02 0 3 0.36483E 00 0 0.14627E 00 0 0.10331E 02 0 0.82918E-02 0 4 0.39123E 00 0 -0.19214E 00 0 0.51082E 01 0 0.15259E-01 0 5 0.26114E 00 0 -0.45369E 00 0 0.21580E 01 0 0.32706E-01 0 6 0.13105E 00 0 -0.71525E 00 0 0.79229E 00 0 0.80672E-01 0 7 0.53376E-01 0 -0.12629E 01 0 0.25649E 00 0 0.22632E 00 0 8 0.18405E-01 0 -0.28209E 01 0 0.74117E-01 0 0.71436E 00 0 9 0.55203E-02 0 -0.77639E 01 0 0.19316E-01 0 0.25123E 01 0 10 0.14678E-02 0 -0.25129E 02 0 0.45800E-02 0 0.97586E 01 0 6.0 0 0.15065E 00 0 -0.28819E 00 0 0.67234E 02 0 0.12440E-02 0 1 -0.27668E 00 0 -0.17501E 00 0 0.61342E 02 0 0.13439E-02 0 2 -0.24287E 00 0 0.22986E 00 0 0.46787E 02 0 0.16920E-02 0 3 0.11477E 00 0 0.32825E 00 0 0.30151E 02 0 0.24719E-02 0 4 0.35764E 00 0 0.98391E-01 0 0.16637E 02 0 0.41639E-02 0 5 0.36209E 00 0 -0.19706E 00 0 0.79685E 01 0 0.80237E-02 0 6 0.24584E 00 0 -0.42683E 00 0 0.33558E 01 0 0.17537E-01 0 7 0.12959E 00 0 -0.65659E 00 0 0.12569E 01 0 0.43097E-01 0 8 0.56532E-01 0 -0.11052E 01 0 0.42297E 00 0 0.11810E 00 0 9 0.21165E-01 0 -0.22907E 01 0 0.12901E 00 0 0.35802E 00 0 10 0.69640E-02 0 -0.57668E 01 0 0.35940E-01 0 0.11922E 01 0 7.0 0 0.30008E 00 0 -0.25950E-01 0 0.16859E 03 0 0.42480E-03 0 1 -0.46828E-02 0 -0.30267E 00 0 0.15604E 03 0 0.45418E-03 0 2 -0.30142E 00 0 -0.60527E-01 0 0.12401E 03 0 0.55456E-03 0 3 -0.16756E 00 0 0.26808E 00 0 0.85176E 02 0 0.77108E-03 0 4 0.15780E 00 0 0.29031E 00 0 0.51004E 02 0 0.12155E-02 0 5 0.34790E 00 0 0.63702E-01 0 0.26885E 02 0 0.21602E-02 0 6 0.33920E 00 0 -0.19931E 00 0 0.12596E 02 0 0.43015E-02 0 7 0.23358E 00 0 -0.40537E 00 0 0.52925E 01 0 0.95342E-02 0 8 0.12797E 00 0 -0.61144E 00 0 0.20109E 01 0 0.23370E-01 0 9 0.58921E-01 0 -0.99220E 00 0 0.69609E 00 0 0.62951E-01 0 10 0.23539E-01 0 -0.19399E 01 0 0.22098E 00 0 0.18524E 00 0 8.0 0 0.17165E 00 0 0.22352E 00 0 0.42756E 03 0 0.14647E-03 0 1 0.23464E 00 0 -0.15806E 00 0 0.39987E 03 0 0.15537E-03 0 2 -0.11299E 00 0 -0.26304E 00 0 0.32760E 03 0 0.18531E-03 0 3 -0.29113E 00 0 0.26542E-01 0 0.23608E 03 0 0.24803E-03 0 4 -0.10536E 00 0 0.28294E 00 0 0.15054E 03 0 0.37133E-03 0 5 0.18577E 00 0 0.25640E 00 0 0.85536E 02 0 0.61936E-03 0 6 0.33758E 00 0 0.37558E-01 0 0.43620E 02 0 0.11455E-02 0 7 0.32059E 00 0 -0.20006E 00 0 0.20106E 02 0 0.23377E-02 0 8 0.22346E 00 0 -0.38767E 00 0 0.84336E 01 0 0.52364E-02 0 9 0.12632E 00 0 -0.57528E 00 0 0.32391E 01 0 0.12810E-01 0 10 0.60767E-01 0 -0.90670E 00 0 0.11456E 01 0 0.34060E-01 0 9.0 0 -0.90334E-01 0 0.24994E 00 0 0.10936E 04 0 0.50881E-04 0 1 0.24531E 00 0 0.10431E 00 0 0.10309E 04 0 0.53637E-04 0 2 0.14485E 00 0 -0.22676E 00 0 0.86450E 03 0 0.62801E-04 0 3 -0.18094E 00 0 -0.20509E 00 0 0.64669E 03 0 0.81548E-04 0 4 -0.26547E 00 0 0.90026E-01 0 0.43337E 03 0 0.11717E-03 0 5 -0.55039E-01 0 0.28512E 00 0 0.26148E 03 0 0.18570E-03 0 6 0.20432E 00 0 0.22677E 00 0 0.14283E 03 0 0.32350E-03 0 7 0.32746E 00 0 0.17244E-01 0 0.71034E 02 0 0.61702E-03 0 8 0.30507E 00 0 -0.19995E 00 0 0.32337E 02 0 0.12833E-02 0 9 0.21488E 00 0 -0.37271E 00 0 0.13545E 02 0 0.28985E-02 0 10 0.12469E 00 0 -0.54546E 00 0 0.52462E 01 0 0.70802E-02 0 10.0 0 -0.24594E 00 0 0.55671E-01 0 0.28157E 04 0 0.17780E-04 0 1 0.43473E-01 0 0.24902E 00 0 0.26710E 04 0 0.18649E-04 0 2 0.25463E 00 0 -0.58681E-02 0 0.22815E 04 0 0.21510E-04 0 3 0.58379E-01 0 -0.25136E 00 0 0.17584E 04 0 0.27253E-04 0 4 -0.21960E 00 0 -0.14495E 00 0 0.12265E 04 0 0.37861E-04 0 5 -0.23406E 00 0 0.13540E 00 0 0.77719E 03 0 0.57542E-04 0 6 -0.14459E-01 0 0.28035E 00 0 0.44930E 03 0 0.95403E-04 0 7 0.21671E 00 0 0.20102E 00 0 0.23803E 03 0 0.17203E-03 0 8 0.31785E 00 0 0.10754E-02 0 0.11607E 03 0 0.33624E-03 0 9 0.29186E 00 0 -0.19930E 00 0 0.52319E 02 0 0.71001E-03 0 10 0.20749E 00 0 -0.35981E 00 0 0.21892E 02 0 0.16143E-02 0 11.0 0 -0.17119E 00 0 -0.16885E 00 0 0.72885E 04 0 0.62430E-05 0 1 -0.17679E 00 0 0.16371E 00 0 0.69489E 04 0 0.65209E-05 0 2 0.13905E 00 0 0.19861E 00 0 0.60251E 04 0 0.74286E-05 0 3 0.22735E 00 0 -0.91483E-01 0 0.47579E 04 0 0.92222E-05 0 4 -0.15039E-01 0 -0.24851E 00 0 0.34298E 04 0 0.12459E-04 0 5 -0.23829E 00 0 -0.89253E-01 0 0.22635E 04 0 0.18283E-04 0 6 -0.20158E 00 0 0.16737E 00 0 0.13721E 04 0 0.29080E-04 0 7 0.18376E-01 0 0.27184E 00 0 0.76668E 03 0 0.50007E-04 0 8 0.22497E 00 0 0.17861E 00 0 0.39632E 03 0 0.92725E-04 0 9 0.30886E 00 0 -0.12049E-01 0 0.19021E 03 0 0.18488E-03 0 10 0.28043E 00 0 -0.19832E 00 0 0.85060E 02 0 0.39526E-03 0 12.0 0 0.47689E-01 0 -0.22524E 00 0 0.18949E 05 0 0.22008E-05 0 1 -0.22345E 00 0 -0.57099E-01 0 0.18141E 05 0 0.22908E-05 0 2 -0.84930E-01 0 0.21572E 00 0 0.15925E 05 0 0.25826E-05 0 3 0.19514E 00 0 0.12901E 00 0 0.12833E 05 0 0.31516E-05 0 4 0.18250E 00 0 -0.15122E 00 0 0.95089E 04 0 0.41584E-05 0 5 -0.73471E-01 0 -0.22982E 00 0 0.64936E 04 0 0.59239E-05 0 6 -0.24372E 00 0 -0.40297E-01 0 0.40976E 04 0 0.90950E-05 0 7 -0.17025E 00 0 0.18952E 00 0 0.23960E 04 0 0.15019E-04 0 8 0.45095E-01 0 0.26140E 00 0 0.13022E 04 0 0.26617E-04 0 9 0.23038E 00 0 0.15902E 00 0 0.65977E 03 0 0.50509E-04 0 10 0.30048E 00 0 -0.22877E-01 0 0.31255E 03 0 0.10238E-03 0 13.0 0 0.20693E 00 0 -0.78208E-01 0 0.49444E 05 0 0.77845E-06 0 1 -0.70318E-01 0 -0.21008E 00 0 0.47503E 05 0 0.80786E-06 0 2 -0.21774E 00 0 0.45888E-01 0 0.42136E 05 0 0.90274E-06 0 3 0.33199E-02 0 0.22420E 00 0 0.34538E 05 0 0.10856E-05 0 4 0.21928E 00 0 0.57589E-01 0 0.26196E 05 0 0.14038E-05 0 5 0.13162E 00 0 -0.18876E 00 0 0.18418E 05 0 0.19495E-05 0 6 -0.11803E 00 0 -0.20279E 00 0 0.12028E 05 0 0.29034E-05 0 7 -0.24057E 00 0 0.15700E-02 0 0.73143E 04 0 0.46296E-05 0 8 -0.14105E 00 0 0.20448E 00 0 0.41514E 04 0 0.78891E-05 0 9 0.66976E-01 0 0.25010E 00 0 0.22049E 04 0 0.14339E-04 0 10 0.23378E 00 0 0.14181E 00 0 0.10986E 04 0 0.27743E-04 0 14.0 0 0.17107E 00 0 0.12719E 00 0 0.12942E 06 0 0.27614E-06 0 1 0.13338E 00 0 -0.16665E 00 0 0.12471E 06 0 0.28583E-06 0 2 -0.15202E 00 0 -0.15100E 00 0 0.11160E 06 0 0.31697E-06 0 3 -0.17681E 00 0 0.12350E 00 0 0.92821E 05 0 0.37640E-06 0 4 0.76244E-01 0 0.20393E 00 0 0.71823E 05 0 0.47828E-06 0 5 0.22038E 00 0 -0.69718E-02 0 0.51779E 05 0 0.64970E-06 0 6 0.81168E-01 0 -0.20891E 00 0 0.34838E 05 0 0.94236E-06 0 7 -0.15080E 00 0 -0.17209E 00 0 0.21918E 05 0 0.14574E-05 0 8 -0.23197E 00 0 0.36816E-01 0 0.12920E 05 0 0.23998E-05 0 9 -0.11431E 00 0 0.21417E 00 0 0.71517E 04 0 0.42001E-05 0 10 0.85007E-01 0 0.23854E 00 0 0.37253E 04 0 0.77999E-05 0 15.0 0 -0.14224E-01 0 0.20546E 00 0 0.33965E 06 0 0.98195E-07 0 1 0.20510E 00 0 0.21074E-01 0 0.32812E 06 0 0.10142E-06 0 2 0.41572E-01 0 -0.20265E 00 0 0.29590E 06 0 0.11172E-06 0 3 -0.19402E 00 0 -0.75115E-01 0 0.24922E 06 0 0.13121E-06 0 4 -0.11918E 00 0 0.17261E 00 0 0.19621E 06 0 0.16420E-06 0 5 0.13046E 00 0 0.16717E 00 0 0.14457E 06 0 0.21878E-06 0 6 0.20615E 00 0 -0.61160E-01 0 0.99831E 05 0 0.31006E-06 0 7 0.34464E-01 0 -0.21610E 00 0 0.64707E 05 0 0.46683E-06 0 8 -0.17398E 00 0 -0.14053E 00 0 0.39437E 05 0 0.74576E-06 0 9 -0.22005E 00 0 0.66198E-01 0 0.22641E 05 0 0.12623E-05 0 10 -0.90072E-01 0 0.21997E 00 0 0.12267E 05 0 0.22605E-05 0 16.0 0 -0.17490E 00 0 0.95811E-01 0 0.89345E 06 0 0.34994E-07 0 1 0.90397E-01 0 0.17798E 00 0 0.86506E 06 0 0.36072E-07 0 2 0.18620E 00 0 -0.73564E-01 0 0.78531E 06 0 0.39503E-07 0 3 -0.43848E-01 0 -0.19637E 00 0 0.66873E 06 0 0.45947E-07 0 4 -0.20264E 00 0 -0.73083E-04 0 0.53454E 06 0 0.56733E-07 0 5 -0.57473E-01 0 0.19633E 00 0 0.40146E 06 0 0.74314E-07 0 6 0.16672E 00 0 0.12278E 00 0 0.28363E 06 0 0.10318E-06 0 7 0.18251E 00 0 -0.10425E 00 0 0.18874E 06 0 0.15170E-06 0 8 -0.70212E-02 0 -0.21399E 00 0 0.11848E 06 0 0.23592E-06 0 9 -0.18953E 00 0 -0.10975E 00 0 0.70263E 05 0 0.38761E-06 0 10 -0.20621E 00 0 0.90527E-01 0 0.39431E 05 0 0.67198E-06 0 17.0 0 -0.16985E 00 0 -0.92637E-01 0 0.23550E 07 0 0.12495E-07 0 1 -0.97669E-01 0 0.16721E 00 0 0.22846E 07 0 0.12857E-07 0 2 0.15836E 00 0 0.11231E 00 0 0.20862E 07 0 0.14007E-07 0 3 0.13493E 00 0 -0.14078E 00 0 0.17938E 07 0 0.16153E-07 0 4 -0.11074E 00 0 -0.16200E 00 0 0.14531E 07 0 0.19708E-07 0 5 -0.18704E 00 0 0.64547E-01 0 0.11099E 07 0 0.25427E-07 0 6 0.71536E-03 0 0.19996E 00 0 0.80020E 06 0 0.34666E-07 0 7 0.18755E 00 0 0.76604E-01 0 0.54510E 06 0 0.49897E-07 0 8 0.15374E 00 0 -0.13688E 00 0 0.35129E 06 0 0.75757E-07 0 9 -0.42856E-01 0 -0.20543E 00 0 0.21447E 06 0 0.12120E-06 0 10 -0.19911E 00 0 -0.80637E-01 0 0.12421E 06 0 0.20408E-06 0 18.0 0 -0.13356E-01 0 -0.18755E 00 0 0.62184E 07 0 0.44688E-08 0 1 -0.18799E 00 0 0.81551E-02 0 0.60431E 07 0 0.45913E-08 0 2 -0.75325E-02 0 0.18846E 00 0 0.55469E 07 0 0.49789E-08 0 3 0.18632E 00 0 0.33725E-01 0 0.48105E 07 0 0.56977E-08 0 4 0.69640E-01 0 -0.17722E 00 0 0.39435E 07 0 0.68781E-08 0 5 -0.15537E 00 0 -0.11249E 00 0 0.30578E 07 0 0.87546E-08 0 6 -0.15596E 00 0 0.11472E 00 0 0.22447E 07 0 0.11742E-07 0 7 0.51399E-01 0 0.18897E 00 0 0.15614E 07 0 0.16582E-07 0 8 0.19593E 00 0 0.32253E-01 0 0.10303E 07 0 0.24639E-07 0 9 0.12276E 00 0 -0.16030E 00 0 0.64560E 06 0 0.38484E-07 0 10 -0.73170E-01 0 -0.19255E 00 0 0.38466E 06 0 0.63123E-07 0 19.0 0 0.14663E 00 0 -0.10952E 00 0 0.16446E 08 0 0.16007E-08 0 1 -0.10570E 00 0 -0.14956E 00 0 0.16007E 08 0 0.16423E-08 0 2 -0.15776E 00 0 0.93777E-01 0 0.14761E 08 0 0.17735E-08 0 3 0.72490E-01 0 0.16930E 00 0 0.12900E 08 0 0.20156E-08 0 4 0.18065E 00 0 -0.40313E-01 0 0.10688E 08 0 0.24101E-08 0 5 0.35724E-02 0 -0.18628E 00 0 0.83997E 07 0 0.30304E-08 0 6 -0.17877E 00 0 -0.57728E-01 0 0.62667E 07 0 0.40050E-08 0 7 -0.11648E 00 0 0.14982E 00 0 0.44418E 07 0 0.55599E-08 0 8 0.92941E-01 0 0.16812E 00 0 0.29938E 07 0 0.81018E-08 0 9 0.19474E 00 0 -0.82430E-02 0 0.19207E 07 0 0.12382E-07 0 10 0.91553E-01 0 -0.17593E 00 0 0.11742E 07 0 0.19832E-07 0 20.0 0 0.16702E 00 0 0.62641E-01 0 0.43558E 08 0 0.57412E-09 0 1 0.66833E-01 0 -0.16551E 00 0 0.42455E 08 0 0.58831E-09 0 2 -0.16034E 00 0 -0.79192E-01 0 0.39313E 08 0 0.63295E-09 0 3 -0.98901E-01 0 0.14967E 00 0 0.34592E 08 0 0.71490E-09 0 4 0.13067E 00 0 0.12409E 00 0 0.28935E 08 0 0.84742E-09 0 5 0.15117E 00 0 -0.10004E 00 0 0.23018E 08 0 0.10539E-08 0 6 -0.55086E-01 0 -0.17411E 00 0 0.17426E 08 0 0.13744E-08 0 7 -0.18422E 00 0 -0.44311E-02 0 0.12563E 08 0 0.18785E-08 0 8 -0.73869E-01 0 0.17101E 00 0 0.86318E 07 0 0.26893E-08 0 9 0.12513E 00 0 0.14124E 00 0 0.56574E 07 0 0.40299E-08 0 10 0.18648E 00 0 -0.43895E-01 0 0.35402E 07 0 0.63162E-08 0 ************************************************************ TABLE3.RES ************************************************************ ELLIPTIC INTEGRAL OF FIRST KIND: K=SQRT(M) M=.01(.01).99 X 0.01 0.1574745E 01 0.1578740E 01 0.1582780E 01 0.1586868E 01 0.1591003E 01 0.1595188E 01 0.1599423E 01 0.1603709E 01 0.1608048E 01 0.10 0.1612441E 01 0.1616889E 01 0.1621393E 01 0.1625955E 01 0.1630575E 01 0.1635257E 01 0.1640000E 01 0.1644806E 01 0.1649678E 01 0.19 0.1654617E 01 0.1659624E 01 0.1664701E 01 0.1669850E 01 0.1675073E 01 0.1680373E 01 0.1685750E 01 0.1691208E 01 0.1696748E 01 0.28 0.1702374E 01 0.1708087E 01 0.1713889E 01 0.1719785E 01 0.1725775E 01 0.1731865E 01 0.1738055E 01 0.1744350E 01 0.1750754E 01 0.37 0.1757268E 01 0.1763898E 01 0.1770647E 01 0.1777519E 01 0.1784519E 01 0.1791650E 01 0.1798918E 01 0.1806327E 01 0.1813884E 01 0.46 0.1821592E 01 0.1829459E 01 0.1837491E 01 0.1845694E 01 0.1854074E 01 0.1862641E 01 0.1871400E 01 0.1880361E 01 0.1889533E 01 0.55 0.1898924E 01 0.1908547E 01 0.1918410E 01 0.1928526E 01 0.1938907E 01 0.1949567E 01 0.1960521E 01 0.1971783E 01 0.1983370E 01 0.64 0.1995302E 01 0.2007598E 01 0.2020279E 01 0.2033369E 01 0.2046893E 01 0.2060881E 01 0.2075362E 01 0.2090372E 01 0.2105947E 01 0.73 0.2122131E 01 0.2138969E 01 0.2156515E 01 0.2174826E 01 0.2193970E 01 0.2214021E 01 0.2235066E 01 0.2257204E 01 0.2280548E 01 0.82 0.2305230E 01 0.2331407E 01 0.2359262E 01 0.2389015E 01 0.2420931E 01 0.2455336E 01 0.2492633E 01 0.2533332E 01 0.2578089E 01 0.91 0.2627770E 01 0.2683547E 01 0.2747069E 01 0.2820747E 01 0.2908331E 01 0.3016104E 01 0.3155864E 01 0.3354125E 01 0.3695607E 01 ELLIPTIC INTEGRAL OF SECOND KIND: CASE 1: A = B = 1, K=SQRT(M) M=.01(.01).99 X 0.01 0.1574746E 01 0.1578740E 01 0.1582780E 01 0.1586868E 01 0.1591003E 01 0.1595188E 01 0.1599423E 01 0.1603709E 01 0.1608049E 01 0.10 0.1612441E 01 0.1616889E 01 0.1621393E 01 0.1625955E 01 0.1630575E 01 0.1635257E 01 0.1640000E 01 0.1644806E 01 0.1649678E 01 0.19 0.1654617E 01 0.1659624E 01 0.1664701E 01 0.1669850E 01 0.1675073E 01 0.1680373E 01 0.1685750E 01 0.1691208E 01 0.1696748E 01 0.28 0.1702374E 01 0.1708087E 01 0.1713889E 01 0.1719785E 01 0.1725776E 01 0.1731865E 01 0.1738055E 01 0.1744350E 01 0.1750754E 01 0.37 0.1757268E 01 0.1763898E 01 0.1770647E 01 0.1777519E 01 0.1784519E 01 0.1791650E 01 0.1798918E 01 0.1806327E 01 0.1813884E 01 0.46 0.1821592E 01 0.1829460E 01 0.1837491E 01 0.1845694E 01 0.1854074E 01 0.1862641E 01 0.1871400E 01 0.1880361E 01 0.1889533E 01 0.55 0.1898924E 01 0.1908547E 01 0.1918410E 01 0.1928526E 01 0.1938907E 01 0.1949567E 01 0.1960521E 01 0.1971783E 01 0.1983370E 01 0.64 0.1995302E 01 0.2007598E 01 0.2020279E 01 0.2033369E 01 0.2046893E 01 0.2060881E 01 0.2075362E 01 0.2090372E 01 0.2105947E 01 0.73 0.2122131E 01 0.2138969E 01 0.2156515E 01 0.2174826E 01 0.2193970E 01 0.2214021E 01 0.2235067E 01 0.2257204E 01 0.2280548E 01 0.82 0.2305230E 01 0.2331407E 01 0.2359262E 01 0.2389015E 01 0.2420931E 01 0.2455336E 01 0.2492633E 01 0.2533332E 01 0.2578089E 01 0.91 0.2627770E 01 0.2683547E 01 0.2747069E 01 0.2820747E 01 0.2908331E 01 0.3016104E 01 0.3155864E 01 0.3354125E 01 0.3695607E 01 CASE 2: A=1, B=1-K**2, K=SQRT(M) M=.01(.01).99 X 0.01 0.1566862E 01 0.1562913E 01 0.1558948E 01 0.1554969E 01 0.1550973E 01 0.1546962E 01 0.1542936E 01 0.1538893E 01 0.1534833E 01 0.10 0.1530758E 01 0.1526665E 01 0.1522555E 01 0.1518428E 01 0.1514284E 01 0.1510122E 01 0.1505942E 01 0.1501743E 01 0.1497526E 01 0.19 0.1493290E 01 0.1489035E 01 0.1484761E 01 0.1480466E 01 0.1476152E 01 0.1471817E 01 0.1467462E 01 0.1463086E 01 0.1458688E 01 0.28 0.1454269E 01 0.1449827E 01 0.1445363E 01 0.1440876E 01 0.1436366E 01 0.1431832E 01 0.1427274E 01 0.1422691E 01 0.1418084E 01 0.37 0.1413450E 01 0.1408791E 01 0.1404105E 01 0.1399392E 01 0.1394652E 01 0.1389883E 01 0.1385086E 01 0.1380259E 01 0.1375402E 01 0.46 0.1370515E 01 0.1365596E 01 0.1360645E 01 0.1355661E 01 0.1350644E 01 0.1345592E 01 0.1340505E 01 0.1335382E 01 0.1330223E 01 0.55 0.1325025E 01 0.1319788E 01 0.1314511E 01 0.1309193E 01 0.1303832E 01 0.1298428E 01 0.1292979E 01 0.1287485E 01 0.1281942E 01 0.64 0.1276350E 01 0.1270708E 01 0.1265013E 01 0.1259264E 01 0.1253458E 01 0.1247595E 01 0.1241671E 01 0.1235684E 01 0.1229632E 01 0.73 0.1223512E 01 0.1217321E 01 0.1211056E 01 0.1204714E 01 0.1198290E 01 0.1191782E 01 0.1185183E 01 0.1178490E 01 0.1171697E 01 0.82 0.1164799E 01 0.1157787E 01 0.1150656E 01 0.1143396E 01 0.1135998E 01 0.1128451E 01 0.1120742E 01 0.1112856E 01 0.1104775E 01 0.91 0.1096478E 01 0.1087938E 01 0.1079122E 01 0.1069987E 01 0.1060474E 01 0.1050503E 01 0.1039948E 01 0.1028595E 01 0.1015995E 01 SINE AND COSINE INTEGRALS: X=0.1(0.1)10.0 X 0.100 SI(X)-PI/2 -0.1470852E 01 -0.1371241E 01 -0.1272293E 01 -0.1174335E 01 -0.1077690E 01 -0.9826681E 00 -0.8895745E 00 -0.7987010E 00 -0.7103260E 00 -0.6247136E 00 0.100 CI(X) -0.1727868E 01 -0.1042206E 01 -0.6491730E 00 -0.3788094E 00 -0.1777841E 00 -0.2227071E-01 0.1005147E 00 0.1982786E 00 0.2760678E 00 0.3374040E 00 1.100 SI(X)-PI/2 -0.5421115E 00 -0.4627495E 00 -0.3868388E 00 -0.3145701E 00 -0.2461131E 00 -0.1816162E 00 -0.1212045E 00 -0.6498007E-01 -0.1302135E-01 0.3461612E-01 1.100 CI(X) 0.3848734E 00 0.4204592E 00 0.4457386E 00 0.4620066E 00 0.4703563E 00 0.4717324E 00 0.4669684E 00 0.4568111E 00 0.4419402E 00 0.4229808E 00 2.100 SI(X)-PI/2 0.7790191E-01 0.1168280E 00 0.1514108E 00 0.1816888E 00 0.2077235E 00 0.2295979E 00 0.2474156E 00 0.2613001E 00 0.2713939E 00 0.2778562E 00 2.100 CI(X) 0.4005119E 00 0.3750745E 00 0.3471754E 00 0.3172915E 00 0.2858711E 00 0.2533364E 00 0.2200847E 00 0.1864880E 00 0.1528951E 00 0.1196295E 00 3.100 SI(X)-PI/2 0.2808629E 00 0.2806044E 00 0.2772841E 00 0.2711174E 00 0.2623289E 00 0.2511517E 00 0.2378256E 00 0.2225946E 00 0.2057057E 00 0.1874069E 00 3.100 CI(X) 0.8699176E-01 0.5525721E-01 0.2467778E-01 -0.4518209E-02 -0.3212898E-01 -0.5797496E-01 -0.8190174E-01 -0.1037789E 00 -0.1235004E 00 -0.1409823E 00 4.100 SI(X)-PI/2 0.1679476E 00 0.1475725E 00 0.1265239E 00 0.1050380E 00 0.8334448E-01 0.6166447E-01 0.4020926E-01 0.1917934E-01 -0.1236897E-02 -0.2086463E-01 4.100 CI(X) -0.1561652E 00 -0.1690130E 00 -0.1795094E 00 -0.1876601E 00 -0.1934910E 00 -0.1970470E 00 -0.1983913E 00 -0.1976037E 00 -0.1947799E 00 -0.1900299E 00 5.100 SI(X)-PI/2 -0.3954272E-01 -0.5712489E-01 -0.7348082E-01 -0.8849587E-01 -0.1020719E 00 -0.1141276E 00 -0.1245985E 00 -0.1334369E 00 -0.1406118E 00 -0.1461086E 00 5.100 CI(X) -0.1834765E 00 -0.1752539E 00 -0.1655062E 00 -0.1543863E 00 -0.1420533E 00 -0.1286722E 00 -0.1144112E 00 -0.9944118E-01 -0.8393323E-01 -0.6805780E-01 6.100 SI(X)-PI/2 -0.1499289E 00 -0.1520894E 00 -0.1526223E 00 -0.1515734E 00 -0.1490022E 00 -0.1449804E 00 -0.1395912E 00 -0.1329282E 00 -0.1250942E 00 -0.1162001E 00 6.100 CI(X) -0.5198313E-01 -0.3587359E-01 -0.1988883E-01 -0.4181983E-02 0.1110087E-01 0.2582253E-01 0.3985487E-01 0.5308022E-01 0.6539176E-01 0.7669479E-01 7.100 SI(X)-PI/2 -0.1063636E 00 -0.9570773E-01 -0.8436045E-01 -0.7245216E-01 -0.6011546E-01 -0.4748320E-01 -0.3468775E-01 -0.2185951E-01 -0.9125970E-02 0.3389808E-02 7.100 CI(X) 0.8690647E-01 0.9595665E-01 0.1037883E 00 0.1103574E 00 0.1156330E 00 0.1195973E 00 0.1222457E 00 0.1235859E 00 0.1236380E 00 0.1224340E 00 8.100 SI(X)-PI/2 0.1556955E-01 0.2730157E-01 0.3848065E-01 0.4900975E-01 0.5880038E-01 0.6777296E-01 0.7585790E-01 0.8299565E-01 0.8913700E-01 0.9424365E-01 8.100 CI(X) 0.1200168E 00 0.1164402E 00 0.1117675E 00 0.1060712E 00 0.9943165E-01 0.9193649E-01 0.8367963E-01 0.7476000E-01 0.6528059E-01 0.5534774E-01 9.100 SI(X)-PI/2 0.9828790E-01 0.1012531E 00 0.1031332E 00 0.1039328E 00 0.1036670E 00 0.1023607E 00 0.1000482E 00 0.9677327E-01 0.9258766E-01 0.8755119E-01 9.100 CI(X) 0.4506954E-01 0.3455503E-01 0.2391342E-01 0.1325252E-01 0.2678066E-02 -0.7707042E-02 -0.1780411E-01 -0.2751928E-01 -0.3676406E-01 -0.4545653E-01 EXPONENTIAL INTEGRAL: X=-10.(.2)6. X -10.00 -0.2492230E 04 -0.2089047E 04 -0.1752143E 04 -0.1470505E 04 -0.1234962E 04 -9.00 -0.1037880E 04 -0.8728959E 03 -0.7347146E 03 -0.6189200E 03 -0.5218317E 03 -8.00 -0.4403806E 03 -0.3720060E 03 -0.3145723E 03 -0.2662961E 03 -0.2256882E 03 -7.00 -0.1915051E 03 -0.1627075E 03 -0.1384263E 03 -0.1179351E 03 -0.1006260E 03 -6.00 -0.8598999E 02 -0.7360098E 02 -0.6310196E 02 -0.5419363E 02 -0.4662500E 02 -5.00 -0.4018541E 02 -0.3469800E 02 -0.3001421E 02 -0.2600907E 02 -0.2257748E 02 -4.00 -0.1963095E 02 -0.1709486E 02 -0.1490630E 02 -0.1301213E 02 -0.1136734E 02 -3.00 -0.9933867E 01 -0.8679328E 01 -0.7576140E 01 -0.6600691E 01 -0.5732635E 01 -2.00 -0.4954252E 01 -0.4249884E 01 -0.3605334E 01 -0.3007221E 01 -0.2442105E 01 -1.00 -0.1895130E 01 -0.1347409E 01 -0.7698950E 00 -0.1047819E 00 0.8217332E 00 0.00 -0.1000000E 38 0.1222651E 01 0.7023801E 00 0.4543796E 00 0.3105965E 00 1.00 0.2193839E 00 0.1584084E 00 0.1162193E 00 0.8630830E-01 0.6471311E-01 2.00 0.4890048E-01 0.3719112E-01 0.2844024E-01 0.2185021E-01 0.1685528E-01 3.00 0.1304837E-01 0.1013298E-01 0.7890965E-02 0.6160409E-02 0.4820243E-02 4.00 0.3779349E-02 0.2968761E-02 0.2336009E-02 0.1841005E-02 0.1452994E-02 5.00 0.1148296E-02 0.9086222E-03 0.7198049E-03 0.5708408E-03 0.4531619E-03 ************************************************************ MCANO.RES ************************************************************ CANONICAL CORRELATION.....SAMPLE NO. OF OBSERVATIONS 23 NO. OF LEFT HAND VARIABLES 4 NO. OF RIGHT HAND VARIABLES 3 MEANS 185.47826 149.91304 76.86957 19.47826 183.00000 148.82608 75.73913 STANDARD DEVIATIONS 10.10342 6.31674 10.46338 1.08165 9.84424 6.73965 9.05648 CORRELATION COEFFICIENTS ROW 1 1.00000 0.74852 0.37082 0.66441 0.62291 0.66080 0.24683 ROW 2 0.74852 1.00000 0.63252 0.22590 0.66811 0.72780 0.53194 ROW 3 0.37082 0.63252 1.00000 0.20657 0.47394 0.60169 0.79684 ROW 4 0.66441 0.22590 0.20657 1.00000 0.32870 0.34863 -0.10733 ROW 5 0.62291 0.66811 0.47394 0.32870 1.00000 0.82555 0.39258 ROW 6 0.66080 0.72780 0.60169 0.34863 0.82555 1.00000 0.47657 ROW 7 0.24683 0.53194 0.79684 -0.10733 0.39258 0.47657 1.00000 NUMBER OF LARGEST CORRESPONDING DEGREES EIGENVALUES EIGENVALUE CANONICAL LAMBDA CHI-SQUARE OF REMOVED REMAINING CORRELATION FREEDOM 0 0.79881 0.89376 0.11598 40.93298 12 1 0.41910 0.64738 0.57644 10.46680 6 2 0.00767 0.08760 0.99233 0.14636 2 CANONICAL CORRELATION 0.89376 COEFFICIENTS FOR LEFT HAND VARIABLES 0.66310 -0.16058 1.05822 -0.56651 COEFFICIENTS FOR RIGHT HAND VARIABLES -0.02133 0.44090 0.89730 CANONICAL CORRELATION 0.64738 COEFFICIENTS FOR LEFT HAND VARIABLES 0.09453 -0.83915 0.66309 -0.64892 COEFFICIENTS FOR RIGHT HAND VARIABLES -0.43841 -0.55503 0.70692 CANONICAL CORRELATION 0.08760 COEFFICIENTS FOR LEFT HAND VARIABLES -0.02686 -0.36050 0.28825 0.32498 COEFFICIENTS FOR RIGHT HAND VARIABLES -0.70325 0.70384 -0.10028 ************************************************************ NONPAR.RES ************************************************************ CHI-SQUARE STATISTICS FOR 4 BY 3 CONTINGENCY TABLE: 13.8 18.5 7.7 10.4 13.9 5.7 8.7 11.5 4.8 12.1 16.1 6.8 CHI-SQUARE = 0.003 ACTUAL(0.003),DEG OF FREEDOM = 6 UTEST STATISTICS FOR TWO SAMPLES: SAMPLE #1 - 30 NOS., MEAN=65, SIGMA=10.5 81. 68. 58. 70. 61. 52. 74. 44. 77. 57. 90. 39. 50. 41. 74. 75. 66. 68. 79. 91. 50. 62. 85. 65. 56. 68. 58. 60. 61. 62. SAMPLE #2 - 35 NOS., MEAN=70, SIGMA=9.5 69. 79. 62. 53. 64. 46. 85. 87. 59. 89. 81. 72. 54. 94. 76. 58. 69. 70. 62. 82. 54. 65. 76. 77. 50. 60. 43. 91. 73. 65. 85. 77. 88. 60. 81. UTEST HOMOGENEITY: 406.000 SIGNIFICANCE: -1.566 FRIEDMAN TWO-WAY ANALYSIS FOR 4 GROUPS (3 CASES): GROUP CASE 1 CASE 2 CASE 3 1 100. 160. 150. 2 915. 180. 210. 3 135. 125. 175. 4 100. 110. 110. FRIEDMAN STATISTIC = 0.875 DEG OF FREEDOM = 2 SPEARMAN AND KENDALL RANK CORRELATIONS GROUP 1 GROUP 2 25. 38. 30. 36. 42. 50. 44. 45. 58. 30. 59. 78. 75. 76. 79. 85. 87. 65. 90. 76. SPEARMAN COEF: 0.681 ITS SIGNIFICANCE; 2.629 DEG OF FREEDOM= 8 KENDALL COEF: 0.449 ITS SIGNIFICANCE: 1.809 STANDARD DEV. = 0.248 ************************************************************ TIMSER.RES ************************************************************ 50 OBSERVATIONS OF NORMAL DATA MEAN=9.7, SIGMA=1.92 4.55 8.13 14.07 9.45 5.79 8.85 7.11 10.17 8.43 13.41 9.75 10.89 3.39 10.29 10.47 11.61 9.87 7.17 11.19 10.41 10.59 7.89 15.75 11.13 7.47 10.53 6.87 11.85 10.11 9.33 9.51 8.73 10.83 13.89 10.23 5.61 3.87 5.01 9.03 8.25 6.51 9.57 3.99 8.97 9.15 8.37 8.55 15.45 13.71 9.09 RESULTS OF AUTO AND CROSS (FOR CROSS - ARRAY USED TWICE) LAG AUTO: A CROSS: B LAGS A A LAGS B 0 7.73 7.73 7.73 1 1.06 1.06 1.06 2 -0.50 -0.50 -0.50 3 -0.99 -0.99 -0.99 4 0.38 0.38 0.38 5 0.51 0.51 0.51 RESULT FROM SMO: F(X)=X**2 WEIGHTS: (1,3,1,3,1)/9 X F(X) RAW SMOOTH 0.00 0.000 -0.129 0.02 0.000 -0.039 0.04 0.002 0.111 -0.026 0.06 0.004 -0.003 0.001 0.08 0.006 -0.091 -0.008 0.10 0.010 -0.011 -0.045 0.12 0.014 -0.050 -0.010 0.14 0.020 0.031 -0.003 0.16 0.026 -0.006 0.050 0.18 0.032 0.125 0.038 0.20 0.040 0.041 0.061 0.22 0.048 0.078 0.012 0.24 0.058 -0.100 0.058 0.26 0.068 0.082 0.032 0.28 0.078 0.098 0.085 0.30 0.090 0.138 0.098 0.32 0.102 0.107 0.105 0.34 0.116 0.052 0.130 0.36 0.130 0.167 0.122 0.38 0.144 0.162 0.155 0.40 0.160 0.182 0.175 0.42 0.176 0.131 0.236 0.44 0.194 0.345 0.204 0.46 0.212 0.247 0.245 0.48 0.230 0.175 0.253 0.50 0.250 0.271 0.221 0.52 0.270 0.200 0.283 0.54 0.292 0.345 0.279 0.56 0.314 0.324 0.322 0.58 0.336 0.327 0.341 0.60 0.360 0.355 0.353 0.62 0.384 0.360 0.401 0.64 0.410 0.438 0.441 0.66 0.436 0.540 0.448 0.68 0.462 0.476 0.452 0.70 0.490 0.388 0.434 0.72 0.518 0.373 0.429 0.74 0.548 0.430 0.466 0.76 0.578 0.561 0.500 0.78 0.608 0.572 0.559 0.80 0.640 0.560 0.601 0.82 0.672 0.669 0.592 0.84 0.706 0.563 0.673 0.86 0.740 0.721 0.682 0.88 0.774 0.761 0.737 0.90 0.810 0.777 0.807 0.92 0.846 0.818 0.890 0.94 0.884 1.027 0.919 0.96 0.922 1.022 0.972 0.98 0.960 0.945 1.00 1.000 0.989 ************************************************************ STAT.RES ************************************************************ DETECTION OF MISSING DATA BY ABSNT: ORIGINAL MATRIX S-VECTOR 4. 10. 10. 8. 8. 11. 9. 3. 16. 4. 1. 7. 4. 2. 8. 6. 6. 0. 1. 4. 1. 0. 9. 12. 7. 1. 2. 5. 2. 3. 9. 3. 1. 7. 10. 4. 14. 5. 11. 3. 6. 1. 10. 1. 8. 0. 3. 10. 7. 7. 2. 2. 2. 15. 0. 0. 2. 4. 1. 1. 14. 8. 9. 9. 15. 0. 8. 2. 0. 6. 0. 7. 7. 8. 5. 5. 0. 5. 3. 6. 13. 10. 7. 5. 0. 5. 9. 0. 4. 5. 8. 5. 6. 6. 7. 13. 4. 8. 1. 5. 8. 9. 9. 9. 7. 1. 7. 8. 8. 1. 4. 4. 2. 5. 2. 2. 3. 0. 1. 13. 0. 1. 11. 8. 5. 3. 0. 1. 4. 1. 8. 0. 6. 1. 7. 1. 8. 8. 5. 12. 9. 4. 1. 13. 13. 4. 5. 5. 3. 9. 9. 4. 13. 1. 18. 0. 3. 7. 7. 5. 8. 5. 9. 6. 0. 9. 7. 1. 13. 5. 5. 2. 9. 6. 1. 1. 5. 0. 3. 6. 1. 13. 4. 5. 2. 0. 0. 6. 6. 3. 1. 7. 1. 8. 2. 6. 3. 1. 11. 0. 5. 3. 12. 6. 7. 4. 8. 5. 0. 11. 5. 3. 9. 16. 4. 4. 2. 5. 2. 1. ELIMINATION OF "BAD" OBSERVATIONS BY SUBMX: 4. 10. 10. 8. 8. 11. 9. 3. 16. 4. 9. 12. 7. 1. 2. 5. 2. 3. 9. 3. 7. 10. 4. 14. 5. 11. 3. 6. 1. 10. 4. 5. 8. 5. 6. 6. 7. 13. 4. 8. 5. 8. 9. 9. 9. 7. 1. 7. 8. 8. 6. 1. 7. 1. 8. 8. 5. 12. 9. 4. 13. 13. 4. 5. 5. 3. 9. 9. 4. 13. 9. 7. 1. 13. 5. 5. 2. 9. 6. 1. 6. 6. 3. 1. 7. 1. 8. 2. 6. 3. 11. 5. 3. 9. 16. 4. 4. 2. 5. 2. CHECK RANGE WITH BOUND; VARIABLE NO. 1 2 3 4 5 6 7 8 9 10 LESS THAN 0 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. IN RANGE 9. 9. 10. 8. 9. 10. 10. 9. 9. 9. GREATER THAN 12 1. 1. 0. 2. 1. 0. 0. 1. 1. 1. AND IER =** FULL STATISTICS ON ARRAY: VARIABLE NO. 1 2 3 4 5 6 7 8 9 10 TOTALS 74. 77. 56. 66. 71. 61. 50. 66. 68. 56. AVERAGES 7.40 7.70 5.60 6.60 7.10 6.10 5.00 6.60 6.80 5.60 STAND. DEV. 3.026 3.653 2.989 4.812 3.725 3.247 3.055 4.088 4.077 3.921 MINIMUM OBSERVATION 4. 1. 1. 1. 2. 1. 1. 2. 1. 1. MAXIMUM OBSERVATION 13. 13. 10. 14. 16. 11. 9. 13. 16. 13. STATISTICS ON VARIABLES 1 AND 8: FREQUENCY MATRIX: (<2),2(1.00)10,(>10) 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 1. 0. 0. 1. 0. 0. 0. 0. 0. 0. 1. 0. PER CENT DISTRIBUTION: (SAME PARTITION) 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 10. 0. 0. 0. 0. 0. 0. 10. 0. 0. 0. 0. 0. 0. 10. 0. 0. 0. 0. 10. 0. 0. 0. 0. 0. 0. 0. 10. 0. 0. 0. 0. 0. 10. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 10. 0. 0. 0. 0. 0. 10. 0. 0. 10. 0. 0. 0. 0. 0. 0. 10. 0. FOR VARIABLE 1 OVER SAME RANGE: TOTALS 0. 0. 0. 8. 5. 12. 7. 0. 18. 24. MEANS 0.0 0.0 0.0 4.0 5.0 6.0 7.0 0.0 9.0 12.0 STD. DEV. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 1.41421 FOR VARIABLE 8 OVER SAME RANGE: TOTALS 0. 4. 6. 0. 0. 6. 7. 0. 18. 25. MEANS 0.0 2.0 3.0 0.0 0.0 6.0 7.0 0.0 9.0 12.5 STD. DEV. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.70711 T-STATISTICS ON VARIABLES 1 AND 8 HYPOTHESES: MEANS EQUAL, GIVEN VARIANCES EQUAL DEG. OF FREEDOM = 18 T-STATISTIC = -1.17624 HYPOTHESIS: MEANS EQUAL, GIVEN VARIANCES UNEQUAL DEG. OF FREEDOM = 20 T-STATISTIC = -1.17624 HYPOTHESIS: MEANS EQUAL, VARIANCES UNKNOWN DEG. OF FREEDOM = 9 T-STATISTIC = -1.21967 ************************************************************ POLRG.RES ************************************************************ POLYNOMIAL REGRESSION.....SAMPLE NUMBER OF OBSERVATION, 15 POLYNOMIAL REGRESSION OF DEGREE 1 INTERCEPT -13.87618 REGRESSION COEFFICIENTS 8.56786 ANALYSIS OF VARIANCE FOR 1 DEGREE POLYNOMIAL SOURCE OF VARIATION DEGREE SUM OF MEAN F IMPROVEMENT OF SQUARES SQUARE VALUE IN TERMS OF FREEDOM SUM OF SQUARES DUE TO REGRESSION 1 20554.28516 20554.28516 135.56525 20554.28516 DEVIATION ABOUT REGRESSION 13 1971.04883 151.61914 TOTAL 14 22525.33398 POLYNOMIAL REGRESSION OF DEGREE 2 INTERCEPT 15.07264 REGRESSION COEFFICIENTS -1.64937 0.63858 ANALYSIS OF VARIANCE FOR 2 DEGREE POLYNOMIAL SOURCE OF VARIATION DEGREE SUM OF MEAN F IMPROVEMENT OF SQUARES SQUARE VALUE IN TERMS OF FREEDOM SUM OF SQUARES DUE TO REGRESSION 2 22236.50781 11118.25391 461.93546 1682.22266 DEVIATION ABOUT REGRESSION 12 288.82617 24.06885 TOTAL 14 22525.33398 POLYNOMIAL REGRESSION OF DEGREE 3 INTERCEPT 18.52365 REGRESSION COEFFICIENTS -3.88600 0.97704 -0.01410 ANALYSIS OF VARIANCE FOR 3 DEGREE POLYNOMIAL SOURCE OF VARIATION DEGREE SUM OF MEAN F IMPROVEMENT OF SQUARES SQUARE VALUE IN TERMS OF FREEDOM SUM OF SQUARES DUE TO REGRESSION 3 22248.65039 7416.21680 294.84360 12.14258 DEVIATION ABOUT REGRESSION 11 276.68359 25.15305 TOTAL 14 22525.33398 POLYNOMIAL REGRESSION OF DEGREE 4 INTERCEPT -5.93352 REGRESSION COEFFICIENTS 19.92573 -5.23100 0.57588 -0.01844 ANALYSIS OF VARIANCE FOR 4 DEGREE POLYNOMIAL SOURCE OF VARIATION DEGREE SUM OF MEAN F IMPROVEMENT OF SQUARES SQUARE VALUE IN TERMS OF FREEDOM SUM OF SQUARES DUE TO REGRESSION 4 22470.80273 5617.70068 1030.18005 222.15234 DEVIATION ABOUT REGRESSION 10 54.53125 5.45313 TOTAL 14 22525.33398 POLYNOMIAL REGRESSION.....SAMPLE POLYNOMIAL REGRESSION OF DEGREE 4 TABLE OF RESIDUALS OBSERVATION NO. X VALUE Y VALUE Y ESTIMATE RESIDUAL 1 1.00000 10.00000 9.31865 0.68135 2 2.00000 16.00000 17.30595 -1.30595 3 3.00000 20.00000 20.81978 -0.81978 4 4.00000 23.00000 22.20893 0.79107 5 5.00000 25.00000 23.37963 1.62037 6 6.00000 26.00000 25.79545 0.20455 7 7.00000 30.00000 30.47741 -0.47741 8 8.00000 36.00000 38.00391 -2.00391 9 9.00000 48.00000 48.51072 -0.51072 10 10.00000 62.00000 61.69104 0.30896 11 11.00000 78.00000 76.79547 1.20453 12 12.00000 94.00000 92.63202 1.36798 13 13.00000 107.00000 107.56598 -0.56598 14 14.00000 118.00000 119.52020 -1.52020 15 15.00000 127.00000 125.97516 1.02484 CHART 4 1.0000 2 I I I I I I I I I I I I I I I I I I I I I I I I I I I 2.1429 I 12 I I I I I I I I I I I I I I I I I I I I 3.0000 I 2 I I I I I I I I I I I I I I I I I I I I I I I I I I I 4.1429 I 2 I I I I I I I I I I I I I I I I I I I I 5.0000 I 2 I I I I I I I I I I I I I I I I I I I I I I I I I I I 6.1429 I 2 I I I I I I I I I I I I I I I I I I I I 7.0000 I 2 I I I I I I I I I I I I I I I I I I I I I I I I I I 8.1429 I I 12 I I I I I I I I I I I I I I I I I I I 9.0000 I I 2I I I I I I I I I I I I I I I I I I I I I I I I I I 10.1429 I I I 2 I I I I I I I I I I I I I I I I I I 11.0000 I I I I 21 I I I I I I I I I I I I I I I I I I I I I I I I 12.1429 I I I I I 21 I I I I I I I I I I I I I I I I 13.0000 I I I I I 12 I I I I I I I I I I I I I I I I I I I I I I 14.1429 I I I I I I 12 I I I I I I I I I I I I I I I 15.0000 I I I I I I 21 I I I I I I I 9.3187 28.9322 48.5458 68.1593 87.7729 107.3864 127.0000 ************************************************************ ANOVA.RES ************************************************************ ANALYSIS OF VARIANCE.....SAMPLE LEVELS OF FACTORS A 4 B 3 C 3 R 2 GRAND MEAN 9.40278 SOURCE OF SUMS OF DEGREES OF MEAN VARIATION SQUARES FREEDOM SQUARES A 229.04167 3 76.34722 B 722.69446 2 361.34723 AB 1382.08337 6 230.34723 C 55.11111 2 27.55556 AC 42.00000 6 7.00000 BC 13.13889 4 3.28472 ABC 140.75000 12 11.72917 R 141.68056 1 141.68056 AR 18.81944 3 6.27315 BR 6.02778 2 3.01389 ABR 176.97223 6 29.49537 CR 40.77778 2 20.38889 ACR 50.55556 6 8.42593 BCR 62.63889 4 15.65972 ABCR 151.02777 12 12.58565 TOTAL 3233.31982 71