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Trailing-Edge - PDP-10 Archives - decuslib10-06 - 43,50401/lin81.tst
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FIRST     BROWNLEE 4 3 E1               1    12161       3111           EX1 0010
( A6, I4, I2, 2F6.3, F5.2, F1.0, F6.3, 2F1.0 )                          EX1 0011
  22                                                                    EX1 0012
  23    4                                                               EX1 0013
        1         2         3         4  2      61 8 -2.  71 6 100. 7   EX1 0020
EXAMPLE OF SAVING COEFFICIENTS FOR CROSS VERIFICATION OF EQUATION,      EX1 0030
REDUCING PRINTOUT (CENTRAL RESIDUALS AND OBSERVATIONS 10-12), E FORMAT, EX1 0040
DELETED OBSERVATION, INDICATOR-VARIABLE-OBSERVATION, AND CP FACTORIAL   EX1 0041
SEARCH WITH GIVEN ESTIMATE OF VARIANCE.                                 EX1 0050
   OBSERVATION 22 DELETED FROM FIRST SET OF DATA, INCLUDED IN NEXT SET. EX1 0060
Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4                           EX1 0070
Y  = 100( LOG(NUMBER OF DEATHS FROM HEART DISEASE PER 100,000 FOR MALES EX1 0080
             IN THE 55 TO 59 AGE GROUP) - 2 )                           EX1 0090
X1 = 1000(TELEPHONES PER PERSON)                                        EX1 0100
X2 = FAT CALORIES AS PER CENT OF TOTAL CALORIES                         EX1 0110
X3 = ANIMAL PROTEIN CALORIES AS PER CENT TOTAL CALORIES                 EX1 0120
X4 = INDICATOR VARIABLE, 1 FOR OBSERVATION 23 (U.N.), 0 OTHERWISE.      EX1 0121
TELEPH    F. CAL    AP.CAL    UN IND                        DEATHS      EX1 0130
   1   2   3                                                            EX1 0131
AUSTRL   1  124    33     8   646                                       EX1 0140
ASTRIA   2   49    31     6   355                                       EX1 0150
CANADA   3  181    38     8   631                                       EX1 0160
CEYLON   4    4    17     2   174                                       EX1 0170
CHILE    5   22    20     4   603                                       EX1 0180
DENMK    6  152    39     6   331                                       EX1 0190
FINLND   7   75    30     7   759                                       EX1 0200
FRANCE   8   54    29     7   282                                       EX1 0210
GMANY    9   43    35     6   316                                       EX1 0220
IRELND  10   41    31     5   490                                       EX1 0230
ISRAEL  11   17    23     4   457                                       EX1 0240
ITALY   12   22    21     3   282                                       EX1 0250
JAPAN   13   16     8     3   174                                       EX1 0260
MEXICO  14   10    23     3   269                                       EX1 0270
NTHLDS  15   63    37     6   240                                       EX1 0280
NWZEAL  16  170    40     8   525                                       EX1 0290
NORWAY  17  125    38     6   257                                       EX1 0300
PORTGL  18   15    25     4   240                                       EX1 0310
SWEDEN  19  221    39     7   331                                       EX1 0320
SWITZD  20  171    33     7   331                                       EX1 0330
UNKING  21   97    38     6   457                                       EX1 0340
U.S.A.  22  254    39     8   776                                       EX1 0341
U.N.    23   87    30     5   776                                       EX1 0342
END                                                                     EX1 0350
235.                                                                    EX1 0351
NEXT      BROWNLEE 4 3  1               1    101          2 1           EX1 0360
( A6, I4, I2, 2F6.3, F5.2, F1.0, F6.3, 2F1.0 )                          EX1 0361
  23    4                                                               EX1 0362
        1         2         3         4  2      61 8 -2.  71 6 100. 7   EX1 0370
EXAMPLE OF CROSS VERIFICATION WITH SAVED COEFFICIENTS FROM FIT WITH     EX1 0371
FIRST SET OF DATA.  THIS SECOND SET OF DATA CONTAINS USA, OBSERVATION   EX1 0372
22, DELETED FROM FIRST SET OF DATA.                                     EX1 0373
Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4                           EX1 0380
Y  = 100( LOG(NUMBER OF DEATHS FROM HEART DISEASE PER 100,000 FOR MALES EX1 0390
             IN THE 55 TO 59 AGE GROUP) - 2 )                           EX1 0400
X1 = 1000(TELEPHONES PER PERSON)                                        EX1 0410
X2 = FAT CALORIES AS PER CENT OF TOTAL CALORIES                         EX1 0420
X3 = ANIMAL PROTEIN CALORIES AS PER CENT TOTAL CALORIES                 EX1 0430
X4 = INDICATOR VARIABLE, 1 FOR OBSERVATION 23 (U.N.), 0 OTHERWISE.      EX1 0431
TELEPH    F. CAL    AP.CAL    UN IND                        DEATHS      EX1 0440
AUSTRL   1  124    33     8   646                                       EX1 0450
ASTRIA   2   49    31     6   355                                       EX1 0460
CANADA   3  181    38     8   631                                       EX1 0470
CEYLON   4    4    17     2   174                                       EX1 0480
CHILE    5   22    20     4   603                                       EX1 0490
DENMK    6  152    39     6   331                                       EX1 0500
FINLND   7   75    30     7   759                                       EX1 0510
FRANCE   8   54    29     7   282                                       EX1 0520
GMANY    9   43    35     6   316                                       EX1 0530
IRELND  10   41    31     5   490                                       EX1 0540
ISRAEL  11   17    23     4   457                                       EX1 0550
ITALY   12   22    21     3   282                                       EX1 0560
JAPAN   13   16     8     3   174                                       EX1 0570
MEXICO  14   10    23     3   269                                       EX1 0580
NTHLDS  15   63    37     6   240                                       EX1 0590
NWZEAL  16  170    40     8   525                                       EX1 0600
NORWAY  17  125    38     6   257                                       EX1 0610
PORTGL  18   15    25     4   240                                       EX1 0620
SWEDEN  19  221    39     7   331                                       EX1 0630
SWITZD  20  171    33     7   331                                       EX1 0640
UNKING  21   97    38     6   457                                       EX1 0650
U.S.A.  22  254    39     8   776                                       EX1 0660
U.N.    23   87    30     5   776                                       EX1 0661
END                                                                     EX1 0670
MANDEL WEIGHT OBSV 1 1   1             1      51                        EX2 0010
SAMPLE    LEVEL OF X    WEIGHT OF OBSERVATION                           EX2 0020
   1          10                1                                       EX2 0030
   2          20                4                                       EX2 0040
   3          30                1                                       EX2 0050
   4          40                1                                       EX2 0060
 LEVEL                                                                  EX2 0070
         1     10.  33.8    1.                                          EX2 0080
         2     20.  62.2    4.                                          EX2 0090
         3     30.  92.0    1.                                          EX2 0100
         4     40. 122.4    1.                                          EX2 0110
END                                                                     EX2 0120
PRECISION - EMPLOY 6 8  1       1111  1 11    812 2                     EX3 0010
( A6,I4,I2, F6.1,9F6.0/ 12X, 4F6.0  )                                   EX3 0020
        1         2         3         4         5         6         7   EX3 0030
        81        91       101       111       121       131       141  EX3 0040
Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4 + B(5)X5 + B(6)X6         EX3 0050
Y  = EMPLOYMENT                                                         EX3 0060
X1 = PRICE INDEX                                                        EX3 0070
X2 = GROSS NATIONAL PRODUCT                                             EX3 0080
X3 = UNEMPLOYMENT                                                       EX3 0090
X4 = SIZE OF ARMED FORCES                                               EX3 0100
X5 = NONINSTITIONAL POPULATION                                          EX3 0110
X6 = TIME IN YEARS                                                      EX3 0120
 PRICE       GNP    UNEMPY      ARMY    NONIST      TIME    TOTAL       EX3 0130
FARM      SELF      UNPAID    HOUSE     PRIVAT    FED GOV   LOCALG      EX3 0140
JASA P1947 1  83.0234289  2356  1590107608  1947 60323  8256  6045   427EX3 0150
JASA  1947 2  1714 38407  1892  3582                                    EX3 0160
JASA R1948 1  88.5259426  2325  1456108632  1948 61122  7960  6139   401EX3 0170
JASA  1948 2  1731 39241  1863  3787                                    EX3 0180
JASA E1949 1  88.2258054  3682  1616109773  1949 60171  8017  6208   396EX3 0190
JASA  1949 2  1772 37922  1908  3948                                    EX3 0200
JASA C1950 1  89.5284599  3351  1650110929  1950 61187  7497  6069   404EX3 0210
JASA  1950 2  1995 39196  1928  4098                                    EX3 0220
JASA I1951 1  96.2328975  2099  3099112075  1951 63221  7048  5869   400EX3 0230
JASA  1951 2  2055 41460  2302  4087                                    EX3 0240
JASA S1952 1  98.1346999  1932  3594113270  1952 63639  6792  5670   431EX3 0250
JASA  1952 2  1922 42216  2420  4188                                    EX3 0260
JASA I1953 1  99.0365385  1870  3547115094  1953 64989  6555  5794   423EX3 0270
JASA  1953 2  1985 43587  2305  4340                                    EX3 0280
JASA O1954 1 100.0363112  3578  3350116219  1954 63761  6495  5880   445EX3 0290
JASA  1954 2  1919 42271  2188  4563                                    EX3 0300
JASA N1955 1 101.2397469  2904  3048117388  1955 66019  6718  5886   524EX3 0310
JASA  1955 2  2216 43761  2187  4727                                    EX3 0320
JASA  1956 1 104.6419180  2822  2857118734  1956 67857  6572  5936   581EX3 0330
JASA  1956 2  2359 45131  2209  5069                                    EX3 0340
JASA T1957 1 108.4442769  2936  2798120445  1957 68169  6222  6089   626EX3 0350
JASA  1957 2  2328 45278  2217  5409                                    EX3 0360
JASA E1958 1 110.8444546  4681  2637121950  1958 66513  5844  6185   605EX3 0370
JASA  1958 2  2456 43530  2191  5702                                    EX3 0380
JASA S1959 1 112.6482704  3813  2552123366  1959 68655  5836  6298   597EX3 0390
JASA  1959 2  2520 45214  2233  5957                                    EX3 0400
JASA T1960 1 114.2502601  3931  2514125368  1960 69564  5723  6367   615EX3 0410
JASA  1960 2  2489 45850  2270  6250                                    EX3 0420
JASA  1961 1 115.7518173  4806  2572127852  1961 69331  5463  6388   662EX3 0430
JASA  1961 2  2594 45397  2279  6548                                    EX3 0440
JASA  1962 1 116.9554894  4007  2827130081  1962 70551  5190  6271   623EX3 0450
JASA  1962 2  2626 46652  2340  6849                                    EX3 0460
END                                                                     EX3 0470
END                                                                     EX3 0480
B0=0 BRNLEE BLOOD  1 1    1             11    51                        EX4 0010
(A3,2I2,F5.0,F7.0)                                                      EX4 0020
PROBLEM FROM STATISTICAL THEORY AND METHODOLOGY BY BROWNLEE,            EX4 0030
2ND EDITION, SECTION 11.4 .                                             EX4 0040
         Y  =  B(1)X1                                                   EX4 0050
Y  =  RATES OF BLOOD FLOW                                               EX4 0060
X  =  MEASUREMENTS BY AN INSTRUMENT                                     EX4 0070
     A         B         C         D                                    EX4 0080
    1  1190.  1115.                                                     EX4 0090
    2  1455.  1425.                                                     EX4 0100
    3  1550.  1515.                                                     EX4 0110
    4  1730.  1795.                                                     EX4 0120
    5  1745.  1715.                                                     EX4 0130
    6  1770.  1710.                                                     EX4 0140
    7  1900.  1830.                                                     EX4 0150
    8  1920.  1920.                                                     EX4 0160
    9  1960.  1970.                                                     EX4 0170
   10  2295.  2300.                                                     EX4 0180
   11  2335.  2280.                                                     EX4 0190
   12  2490.  2520.                                                     EX4 0200
   13  2720.  2630.                                                     EX4 0210
   14  2710.  2740.                                                     EX4 0220
   15  2530.  2390.                                                     EX4 0230
   16  2900.  2800.                                                     EX4 0240
   17  2760.  2630.                                                     EX4 0250
   18  3010.  2970.                                                     EX4 0260
END                                                                     EX4 0270
B0=0 BB,SWITCHES=1 1 1    1    111111111 2     2                        EX5 0010
Y IS CONSTANT      1 1                                                  EX6 0010
                1.   3.                                                 EX6 0020
                2.   3.                                                 EX6 0030
                3.   3.                                                 EX6 0040
                3.   3.                                                 EX6 0040
                4.   3.                                                 EX6 0050
                5.   3.                                                 EX6 0060
                6.   3.                                                 EX6 0070
                7.   3.                                                 EX6 0080
                8.   3.                                                 EX6 0090
                9.   3.                                                 EX6 0100
END                                                                     EX6 0110
VAR3 = VAR4        4 1                  1                               EX7 0010
(A6,I4,I2,3F6.3, T25, 2F6.3 )                                           EX7 0020
AUSTRL   1  124    33     8   646                                       EX7 0030
ASTRIA   2   49    31     6   355                                       EX7 0040
CANADA   3  181    38     8   631                                       EX7 0050
CEYLON   4    4    17     2   174                                       EX7 0060
CHILE    5   22    20     4   603                                       EX7 0070
DENMK    6  152    39     6   331                                       EX7 0080
FINLND   7   75    30     7   759                                       EX7 0090
FRANCE   8   54    29     7   282                                       EX7 0100
GMANY    9   43    35     6   316                                       EX7 0110
IRELND  10   41    31     5   490                                       EX7 0120
ISRAEL  11   17    23     4   457                                       EX7 0130
ITALY   12   22    21     3   282                                       EX7 0140
JAPAN   13   16     8     3   174                                       EX7 0150
MEXICO  14   10    23     3   269                                       EX7 0160
NTHLDS  15   63    37     6   240                                       EX7 0170
NWZEAL  16  170    40     8   525                                       EX7 0180
NORWAY  17  125    38     6   257                                       EX7 0190
PORTGL  18   15    25     4   240                                       EX7 0200
SWEDEN  19  221    39     7   331                                       EX7 0210
SWITZD  20  171    33     7   331                                       EX7 0220
UNKING  21   97    38     6   457                                       EX7 0230
U.S.A.  22  254    39     8   776                                       EX7 0240
END                                                                     EX7 0250
2 VARIABLES PASS 1 3 1  1       1      211   121  1                     EX8 0010
(6X, A4, I2, I1, F5.2, F6.2, F1.0, F10.4 )                              EX8 0020
        1         2         31        4                                 EX8 0030
EQUATION: Y = 20 + 20X1 - 3X2 - 1X1SQRD + ERROR(0,1)                    EX8 0040
FITTED WITH Y = B0 + B1X1 + B2X2                                        EX8 0050
ERROR FROM "A MILLION RANDOM DIGITS", RAND CORP., FREE PRESS, 1955.     EX8 0060
1-20 OBSV. FROM TABLE PAGE 4, COL 4; 21-40 OBSV. FROM PAGE 12, COL 2.   EX8 0070
OBSERVATIONS 21-40 ARE REPLICATES OF OBSERVATIONS 1-20.                 EX8 0080
    STD. DEVIATION ESTIMATED FROM NEAR NEIGHBORS (1.0), IS MUCH LESS    EX8 0090
THAN RRMS OF FIT, SUGGESTING A BETTER FORM OF EQUATION IS NEEDED.       EX8 0100
NEED FOR SQUARED TERM CAN BE SEEN FROM RESIDUAL VS. INDEPENDENT         EX8 0110
VARIABLE X1 PLOT.  SLIGHT EFFECT ON CURVATURE CAN BE SEEN FROM          EX8 0120
COMPONENT AND COMPONENT-PLUS-RESIDUAL VS. INDEPENDENT VARIABLE X1       EX8 0130
PLOT.  FROM "THE USE OF INDIVIDUAL EFFECTS AND RESIDUALS IN FITTING     EX8 0140
EQUATIONS TO DATA" BY F.S.WOOD, TECHNOMETRICS VOL.15, NO 4, NOV. 1973.  EX8 0150
X1        X2                  Y                                         EX8 0160
         1 1  0.0   0.0    20.1640                                      EX8 0170
         2 2  0.20  2.00   18.8470                                      EX8 0180
         3 3  0.50  7.00    6.6780                                      EX8 0190
         4 4  1.00 10.00    8.7090                                      EX8 0200
         5 5  1.50  4.00   36.9340                                      EX8 0210
         6 6  2.00 16.00    8.3970                                      EX8 0220
         7 7  2.50 22.00   -1.7780                                      EX8 0230
         8 8  3.00  6.00   53.1360                                      EX8 0240
         9 9  3.50  9.00   51.8830                                      EX8 0250
        1010  4.00 18.00   31.5640                                      EX8 0260
        1111  4.50 28.00    5.7390                                      EX8 0270
        1212  5.00 34.00   -6.4660                                      EX8 0280
        1313  5.30 14.00   56.4940                                      EX8 0290
        1414  5.50 24.00   28.5230                                      EX8 0300
        1515  6.00 19.00   47.4980                                      EX8 0310
        1616  6.50 38.00   -4.5750                                      EX8 0320
        1717  7.00 33.00   10.7300                                      EX8 0330
        1818  7.50 35.00    8.2140                                      EX8 0340
        1919  7.80 30.00   23.7900                                      EX8 0350
        2020  8.00 40.00   -3.5180                                      EX8 0360
         121  0.0   0.0    20.2830                                      EX8 0370
         222  0.20  2.00   16.9700                                      EX8 0380
         323  0.50  7.00    8.3790                                      EX8 0390
         424  1.00 10.00    9.8760                                      EX8 0400
         525  1.50  4.00   37.7190                                      EX8 0410
         626  2.00 16.00    8.4450                                      EX8 0420
         727  2.50 22.00   -1.8410                                      EX8 0430
         828  3.00  6.00   54.3390                                      EX8 0440
         929  3.50  9.00   51.6460                                      EX8 0450
        1030  4.00 18.00   30.7380                                      EX8 0460
        1131  4.50 28.00    5.3730                                      EX8 0470
        1232  5.00 34.00   -7.5370                                      EX8 0480
        1333  5.30 14.00   53.9740                                      EX8 0490
        1434  5.50 24.00   28.6360                                      EX8 0500
        1535  6.00 19.00   46.0650                                      EX8 0510
        1636  6.50 38.00   -6.3270                                      EX8 0520
        1737  7.00 33.00   13.0010                                      EX8 0530
        1838  7.50 35.00    7.8550                                      EX8 0540
        1939  7.80 30.00   26.8690                                      EX8 0550
        2040  8.00 40.00   -3.6590                                      EX8 0560
      END                                                               EX8 0570
2 VARIABLES PASS 2 3 1  1       1      212    81                        EX8 0580
 8-4.0  1         2  9  1 1 32        4                                 EX8 0590
EQUATION: Y = 20 + 20X1 - 3X2 - 1X1SQRD + ERROR(0,1)                    EX8 0600
FITTED WITH Y = B0 + B1(X1-4.0) + B2X2 + B3(X1-4.0)SQRD                 EX8 0610
ERROR FROM "A MILLION RANDOM DIGITS", RAND CORP., FREE PRESS, 1955.     EX8 0620
1-20 OBSV. FROM TABLE PAGE 4, COL 4; 21-40 OBSV. FROM PAGE 12, COL 2.   EX8 0630
OBSERVATIONS 21-40 ARE REPLICATES OF OBSERVATIONS 1-20.                 EX8 0640
    STD. DEVIATION ESTIMATED FROM NEAR NEIGHBORS (1.0), IS CLOSE TO     EX8 0650
RRMS OF FIT.                                                            EX8 0660
UNCODED FITTED EQUATION: Y = 20.006 + 20.310X1 - 3.007X2 - 1.038X1SQRD  EX8 0670
X1-4.0    X2        X1SQRD    Y                                         EX8 0680