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NIST/ITL StRD
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Dataset Name: Nelson (Nelson.dat)
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File Format: ASCII
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Starting Values (lines 41 to 43)
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Certified Values (lines 41 to 48)
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Data (lines 61 to 188)
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Procedure: Nonlinear Least Squares Regression
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Description: These data are the result of a study involving
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the analysis of performance degradation data from
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accelerated tests, published in IEEE Transactions
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on Reliability. The response variable is dialectric
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breakdown strength in kilo-volts, and the predictor
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variables are time in weeks and temperature in degrees
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Celcius.
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Reference: Nelson, W. (1981).
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Analysis of Performance-Degradation Data.
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IEEE Transactions on Reliability.
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Vol. 2, R-30, No. 2, pp. 149-155.
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Data: 1 Response ( y = dialectric breakdown strength)
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2 Predictors (x1 = time; x2 = temperature)
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128 Observations
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Average Level of Difficulty
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Observed Data
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Model: Exponential Class
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3 Parameters (b1 to b3)
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log[y] = b1 - b2*x1 * exp[-b3*x2] + e
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Starting values Certified Values
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Start 1 Start 2 Parameter Standard Deviation
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b1 = 2 2.5 2.5906836021E+00 1.9149996413E-02
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b2 = 0.0001 0.000000005 5.6177717026E-09 6.1124096540E-09
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b3 = -0.01 -0.05 -5.7701013174E-02 3.9572366543E-03
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Residual Sum of Squares: 3.7976833176E+00
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Residual Standard Deviation: 1.7430280130E-01
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Degrees of Freedom: 125
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Number of Observations: 128
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Data: y x1 x2
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15.00E0 1E0 180E0
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17.00E0 1E0 180E0
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15.50E0 1E0 180E0
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16.50E0 1E0 180E0
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15.50E0 1E0 225E0
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15.00E0 1E0 225E0
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16.00E0 1E0 225E0
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14.50E0 1E0 225E0
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15.00E0 1E0 250E0
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14.50E0 1E0 250E0
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12.50E0 1E0 250E0
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11.00E0 1E0 250E0
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14.00E0 1E0 275E0
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13.00E0 1E0 275E0
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14.00E0 1E0 275E0
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11.50E0 1E0 275E0
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14.00E0 2E0 180E0
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16.00E0 2E0 180E0
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13.00E0 2E0 180E0
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13.50E0 2E0 180E0
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13.00E0 2E0 225E0
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13.50E0 2E0 225E0
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12.50E0 2E0 225E0
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12.50E0 2E0 225E0
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12.50E0 2E0 250E0
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12.00E0 2E0 250E0
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11.50E0 2E0 250E0
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12.00E0 2E0 250E0
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13.00E0 2E0 275E0
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11.50E0 2E0 275E0
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13.00E0 2E0 275E0
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12.50E0 2E0 275E0
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13.50E0 4E0 180E0
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17.50E0 4E0 180E0
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17.50E0 4E0 180E0
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13.50E0 4E0 180E0
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12.50E0 4E0 225E0
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12.50E0 4E0 225E0
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15.00E0 4E0 225E0
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13.00E0 4E0 225E0
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12.00E0 4E0 250E0
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13.00E0 4E0 250E0
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12.00E0 4E0 250E0
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13.50E0 4E0 250E0
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10.00E0 4E0 275E0
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11.50E0 4E0 275E0
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11.00E0 4E0 275E0
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9.50E0 4E0 275E0
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15.00E0 8E0 180E0
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15.00E0 8E0 180E0
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15.50E0 8E0 180E0
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16.00E0 8E0 180E0
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13.00E0 8E0 225E0
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10.50E0 8E0 225E0
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13.50E0 8E0 225E0
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14.00E0 8E0 225E0
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12.50E0 8E0 250E0
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12.00E0 8E0 250E0
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11.50E0 8E0 250E0
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11.50E0 8E0 250E0
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6.50E0 8E0 275E0
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5.50E0 8E0 275E0
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6.00E0 8E0 275E0
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6.00E0 8E0 275E0
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18.50E0 16E0 180E0
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17.00E0 16E0 180E0
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15.30E0 16E0 180E0
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16.00E0 16E0 180E0
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13.00E0 16E0 225E0
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14.00E0 16E0 225E0
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12.50E0 16E0 225E0
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11.00E0 16E0 225E0
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12.00E0 16E0 250E0
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12.00E0 16E0 250E0
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11.50E0 16E0 250E0
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12.00E0 16E0 250E0
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6.00E0 16E0 275E0
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6.00E0 16E0 275E0
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5.00E0 16E0 275E0
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5.50E0 16E0 275E0
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12.50E0 32E0 180E0
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13.00E0 32E0 180E0
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16.00E0 32E0 180E0
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12.00E0 32E0 180E0
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11.00E0 32E0 225E0
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9.50E0 32E0 225E0
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11.00E0 32E0 225E0
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11.00E0 32E0 225E0
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11.00E0 32E0 250E0
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10.00E0 32E0 250E0
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10.50E0 32E0 250E0
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10.50E0 32E0 250E0
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2.70E0 32E0 275E0
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2.70E0 32E0 275E0
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2.50E0 32E0 275E0
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2.40E0 32E0 275E0
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13.00E0 48E0 180E0
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13.50E0 48E0 180E0
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16.50E0 48E0 180E0
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13.60E0 48E0 180E0
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11.50E0 48E0 225E0
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10.50E0 48E0 225E0
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13.50E0 48E0 225E0
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12.00E0 48E0 225E0
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7.00E0 48E0 250E0
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6.90E0 48E0 250E0
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8.80E0 48E0 250E0
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7.90E0 48E0 250E0
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1.20E0 48E0 275E0
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1.50E0 48E0 275E0
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1.00E0 48E0 275E0
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1.50E0 48E0 275E0
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13.00E0 64E0 180E0
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12.50E0 64E0 180E0
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16.50E0 64E0 180E0
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16.00E0 64E0 180E0
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11.00E0 64E0 225E0
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11.50E0 64E0 225E0
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10.50E0 64E0 225E0
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10.00E0 64E0 225E0
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7.27E0 64E0 250E0
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7.50E0 64E0 250E0
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6.70E0 64E0 250E0
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7.60E0 64E0 250E0
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1.50E0 64E0 275E0
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1.00E0 64E0 275E0
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1.20E0 64E0 275E0
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1.20E0 64E0 275E0
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