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0001 NIST/ITL StRD 0002 Dataset Name: Nelson (Nelson.dat) 0003 0004 File Format: ASCII 0005 Starting Values (lines 41 to 43) 0006 Certified Values (lines 41 to 48) 0007 Data (lines 61 to 188) 0008 0009 Procedure: Nonlinear Least Squares Regression 0010 0011 Description: These data are the result of a study involving 0012 the analysis of performance degradation data from 0013 accelerated tests, published in IEEE Transactions 0014 on Reliability. The response variable is dialectric 0015 breakdown strength in kilo-volts, and the predictor 0016 variables are time in weeks and temperature in degrees 0017 Celcius. 0018 0019 0020 Reference: Nelson, W. (1981). 0021 Analysis of Performance-Degradation Data. 0022 IEEE Transactions on Reliability. 0023 Vol. 2, R-30, No. 2, pp. 149-155. 0024 0025 Data: 1 Response ( y = dialectric breakdown strength) 0026 2 Predictors (x1 = time; x2 = temperature) 0027 128 Observations 0028 Average Level of Difficulty 0029 Observed Data 0030 0031 Model: Exponential Class 0032 3 Parameters (b1 to b3) 0033 0034 log[y] = b1 - b2*x1 * exp[-b3*x2] + e 0035 0036 0037 0038 Starting values Certified Values 0039 0040 Start 1 Start 2 Parameter Standard Deviation 0041 b1 = 2 2.5 2.5906836021E+00 1.9149996413E-02 0042 b2 = 0.0001 0.000000005 5.6177717026E-09 6.1124096540E-09 0043 b3 = -0.01 -0.05 -5.7701013174E-02 3.9572366543E-03 0044 0045 Residual Sum of Squares: 3.7976833176E+00 0046 Residual Standard Deviation: 1.7430280130E-01 0047 Degrees of Freedom: 125 0048 Number of Observations: 128 0049 0050 0051 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x1 x2 0061 15.00E0 1E0 180E0 0062 17.00E0 1E0 180E0 0063 15.50E0 1E0 180E0 0064 16.50E0 1E0 180E0 0065 15.50E0 1E0 225E0 0066 15.00E0 1E0 225E0 0067 16.00E0 1E0 225E0 0068 14.50E0 1E0 225E0 0069 15.00E0 1E0 250E0 0070 14.50E0 1E0 250E0 0071 12.50E0 1E0 250E0 0072 11.00E0 1E0 250E0 0073 14.00E0 1E0 275E0 0074 13.00E0 1E0 275E0 0075 14.00E0 1E0 275E0 0076 11.50E0 1E0 275E0 0077 14.00E0 2E0 180E0 0078 16.00E0 2E0 180E0 0079 13.00E0 2E0 180E0 0080 13.50E0 2E0 180E0 0081 13.00E0 2E0 225E0 0082 13.50E0 2E0 225E0 0083 12.50E0 2E0 225E0 0084 12.50E0 2E0 225E0 0085 12.50E0 2E0 250E0 0086 12.00E0 2E0 250E0 0087 11.50E0 2E0 250E0 0088 12.00E0 2E0 250E0 0089 13.00E0 2E0 275E0 0090 11.50E0 2E0 275E0 0091 13.00E0 2E0 275E0 0092 12.50E0 2E0 275E0 0093 13.50E0 4E0 180E0 0094 17.50E0 4E0 180E0 0095 17.50E0 4E0 180E0 0096 13.50E0 4E0 180E0 0097 12.50E0 4E0 225E0 0098 12.50E0 4E0 225E0 0099 15.00E0 4E0 225E0 0100 13.00E0 4E0 225E0 0101 12.00E0 4E0 250E0 0102 13.00E0 4E0 250E0 0103 12.00E0 4E0 250E0 0104 13.50E0 4E0 250E0 0105 10.00E0 4E0 275E0 0106 11.50E0 4E0 275E0 0107 11.00E0 4E0 275E0 0108 9.50E0 4E0 275E0 0109 15.00E0 8E0 180E0 0110 15.00E0 8E0 180E0 0111 15.50E0 8E0 180E0 0112 16.00E0 8E0 180E0 0113 13.00E0 8E0 225E0 0114 10.50E0 8E0 225E0 0115 13.50E0 8E0 225E0 0116 14.00E0 8E0 225E0 0117 12.50E0 8E0 250E0 0118 12.00E0 8E0 250E0 0119 11.50E0 8E0 250E0 0120 11.50E0 8E0 250E0 0121 6.50E0 8E0 275E0 0122 5.50E0 8E0 275E0 0123 6.00E0 8E0 275E0 0124 6.00E0 8E0 275E0 0125 18.50E0 16E0 180E0 0126 17.00E0 16E0 180E0 0127 15.30E0 16E0 180E0 0128 16.00E0 16E0 180E0 0129 13.00E0 16E0 225E0 0130 14.00E0 16E0 225E0 0131 12.50E0 16E0 225E0 0132 11.00E0 16E0 225E0 0133 12.00E0 16E0 250E0 0134 12.00E0 16E0 250E0 0135 11.50E0 16E0 250E0 0136 12.00E0 16E0 250E0 0137 6.00E0 16E0 275E0 0138 6.00E0 16E0 275E0 0139 5.00E0 16E0 275E0 0140 5.50E0 16E0 275E0 0141 12.50E0 32E0 180E0 0142 13.00E0 32E0 180E0 0143 16.00E0 32E0 180E0 0144 12.00E0 32E0 180E0 0145 11.00E0 32E0 225E0 0146 9.50E0 32E0 225E0 0147 11.00E0 32E0 225E0 0148 11.00E0 32E0 225E0 0149 11.00E0 32E0 250E0 0150 10.00E0 32E0 250E0 0151 10.50E0 32E0 250E0 0152 10.50E0 32E0 250E0 0153 2.70E0 32E0 275E0 0154 2.70E0 32E0 275E0 0155 2.50E0 32E0 275E0 0156 2.40E0 32E0 275E0 0157 13.00E0 48E0 180E0 0158 13.50E0 48E0 180E0 0159 16.50E0 48E0 180E0 0160 13.60E0 48E0 180E0 0161 11.50E0 48E0 225E0 0162 10.50E0 48E0 225E0 0163 13.50E0 48E0 225E0 0164 12.00E0 48E0 225E0 0165 7.00E0 48E0 250E0 0166 6.90E0 48E0 250E0 0167 8.80E0 48E0 250E0 0168 7.90E0 48E0 250E0 0169 1.20E0 48E0 275E0 0170 1.50E0 48E0 275E0 0171 1.00E0 48E0 275E0 0172 1.50E0 48E0 275E0 0173 13.00E0 64E0 180E0 0174 12.50E0 64E0 180E0 0175 16.50E0 64E0 180E0 0176 16.00E0 64E0 180E0 0177 11.00E0 64E0 225E0 0178 11.50E0 64E0 225E0 0179 10.50E0 64E0 225E0 0180 10.00E0 64E0 225E0 0181 7.27E0 64E0 250E0 0182 7.50E0 64E0 250E0 0183 6.70E0 64E0 250E0 0184 7.60E0 64E0 250E0 0185 1.50E0 64E0 275E0 0186 1.00E0 64E0 275E0 0187 1.20E0 64E0 275E0 0188 1.20E0 64E0 275E0