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      1 NIST/ITL StRD
      2 Dataset Name:  Nelson            (Nelson.dat)
      3 
      4 File Format:   ASCII
      5                Starting Values   (lines 41 to 43)
      6                Certified Values  (lines 41 to 48)
      7                Data              (lines 61 to 188)
      8 
      9 Procedure:     Nonlinear Least Squares Regression
     10 
     11 Description:   These data are the result of a study involving
     12                the analysis of performance degradation data from
     13                accelerated tests, published in IEEE Transactions
     14                on Reliability.  The response variable is dialectric
     15                breakdown strength in kilo-volts, and the predictor
     16                variables are time in weeks and temperature in degrees
     17                Celcius.
     18 
     19 
     20 Reference:     Nelson, W. (1981).  
     21                Analysis of Performance-Degradation Data.  
     22                IEEE Transactions on Reliability.
     23                Vol. 2, R-30, No. 2, pp. 149-155.
     24 
     25 Data:          1 Response   ( y = dialectric breakdown strength) 
     26                2 Predictors (x1 = time; x2 = temperature)
     27                128 Observations
     28                Average Level of Difficulty
     29                Observed Data
     30 
     31 Model:         Exponential Class
     32                3 Parameters (b1 to b3)
     33 
     34                log[y] = b1 - b2*x1 * exp[-b3*x2]  +  e
     35 
     36 
     37 
     38           Starting values                  Certified Values
     39 
     40         Start 1     Start 2           Parameter     Standard Deviation
     41   b1 =    2           2.5          2.5906836021E+00  1.9149996413E-02
     42   b2 =    0.0001      0.000000005  5.6177717026E-09  6.1124096540E-09
     43   b3 =   -0.01       -0.05        -5.7701013174E-02  3.9572366543E-03
     44 
     45 Residual Sum of Squares:                    3.7976833176E+00
     46 Residual Standard Deviation:                1.7430280130E-01
     47 Degrees of Freedom:                               125
     48 Number of Observations:                           128
     49 
     50 
     51 
     52 
     53 
     54 
     55 
     56 
     57 
     58 
     59 
     60 Data:   y              x1            x2
     61       15.00E0         1E0         180E0
     62       17.00E0         1E0         180E0
     63       15.50E0         1E0         180E0
     64       16.50E0         1E0         180E0
     65       15.50E0         1E0         225E0
     66       15.00E0         1E0         225E0
     67       16.00E0         1E0         225E0
     68       14.50E0         1E0         225E0
     69       15.00E0         1E0         250E0
     70       14.50E0         1E0         250E0
     71       12.50E0         1E0         250E0
     72       11.00E0         1E0         250E0
     73       14.00E0         1E0         275E0
     74       13.00E0         1E0         275E0
     75       14.00E0         1E0         275E0
     76       11.50E0         1E0         275E0
     77       14.00E0         2E0         180E0
     78       16.00E0         2E0         180E0
     79       13.00E0         2E0         180E0
     80       13.50E0         2E0         180E0
     81       13.00E0         2E0         225E0
     82       13.50E0         2E0         225E0
     83       12.50E0         2E0         225E0
     84       12.50E0         2E0         225E0
     85       12.50E0         2E0         250E0
     86       12.00E0         2E0         250E0
     87       11.50E0         2E0         250E0
     88       12.00E0         2E0         250E0
     89       13.00E0         2E0         275E0
     90       11.50E0         2E0         275E0
     91       13.00E0         2E0         275E0
     92       12.50E0         2E0         275E0
     93       13.50E0         4E0         180E0
     94       17.50E0         4E0         180E0
     95       17.50E0         4E0         180E0
     96       13.50E0         4E0         180E0
     97       12.50E0         4E0         225E0
     98       12.50E0         4E0         225E0
     99       15.00E0         4E0         225E0
    100       13.00E0         4E0         225E0
    101       12.00E0         4E0         250E0
    102       13.00E0         4E0         250E0
    103       12.00E0         4E0         250E0
    104       13.50E0         4E0         250E0
    105       10.00E0         4E0         275E0
    106       11.50E0         4E0         275E0
    107       11.00E0         4E0         275E0
    108        9.50E0         4E0         275E0
    109       15.00E0         8E0         180E0
    110       15.00E0         8E0         180E0
    111       15.50E0         8E0         180E0
    112       16.00E0         8E0         180E0
    113       13.00E0         8E0         225E0
    114       10.50E0         8E0         225E0
    115       13.50E0         8E0         225E0
    116       14.00E0         8E0         225E0
    117       12.50E0         8E0         250E0
    118       12.00E0         8E0         250E0
    119       11.50E0         8E0         250E0
    120       11.50E0         8E0         250E0
    121        6.50E0         8E0         275E0
    122        5.50E0         8E0         275E0
    123        6.00E0         8E0         275E0
    124        6.00E0         8E0         275E0
    125       18.50E0        16E0         180E0
    126       17.00E0        16E0         180E0
    127       15.30E0        16E0         180E0
    128       16.00E0        16E0         180E0
    129       13.00E0        16E0         225E0
    130       14.00E0        16E0         225E0
    131       12.50E0        16E0         225E0
    132       11.00E0        16E0         225E0
    133       12.00E0        16E0         250E0
    134       12.00E0        16E0         250E0
    135       11.50E0        16E0         250E0
    136       12.00E0        16E0         250E0
    137        6.00E0        16E0         275E0
    138        6.00E0        16E0         275E0
    139        5.00E0        16E0         275E0
    140        5.50E0        16E0         275E0
    141       12.50E0        32E0         180E0
    142       13.00E0        32E0         180E0
    143       16.00E0        32E0         180E0
    144       12.00E0        32E0         180E0
    145       11.00E0        32E0         225E0
    146        9.50E0        32E0         225E0
    147       11.00E0        32E0         225E0
    148       11.00E0        32E0         225E0
    149       11.00E0        32E0         250E0
    150       10.00E0        32E0         250E0
    151       10.50E0        32E0         250E0
    152       10.50E0        32E0         250E0
    153        2.70E0        32E0         275E0
    154        2.70E0        32E0         275E0
    155        2.50E0        32E0         275E0
    156        2.40E0        32E0         275E0
    157       13.00E0        48E0         180E0
    158       13.50E0        48E0         180E0
    159       16.50E0        48E0         180E0
    160       13.60E0        48E0         180E0
    161       11.50E0        48E0         225E0
    162       10.50E0        48E0         225E0
    163       13.50E0        48E0         225E0
    164       12.00E0        48E0         225E0
    165        7.00E0        48E0         250E0
    166        6.90E0        48E0         250E0
    167        8.80E0        48E0         250E0
    168        7.90E0        48E0         250E0
    169        1.20E0        48E0         275E0
    170        1.50E0        48E0         275E0
    171        1.00E0        48E0         275E0
    172        1.50E0        48E0         275E0
    173       13.00E0        64E0         180E0
    174       12.50E0        64E0         180E0
    175       16.50E0        64E0         180E0
    176       16.00E0        64E0         180E0
    177       11.00E0        64E0         225E0
    178       11.50E0        64E0         225E0
    179       10.50E0        64E0         225E0
    180       10.00E0        64E0         225E0
    181        7.27E0        64E0         250E0
    182        7.50E0        64E0         250E0
    183        6.70E0        64E0         250E0
    184        7.60E0        64E0         250E0
    185        1.50E0        64E0         275E0
    186        1.00E0        64E0         275E0
    187        1.20E0        64E0         275E0
    188        1.20E0        64E0         275E0
    189