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Date of download: 10/18/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: 360 deg closed welds data and the fit curves with standard horizontal offsets method (dashed–dotted line) and vertical method (solid line)

2 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: Equilibrium re-establishment of (a) horizontal patterned data with two added data blocks and (b) horizontal patterned data with added antisymmetrical data blocks

3 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: Ideal curve fitting methods for given data patterns: (a) vertical offsets method and (b) horizontal offsets method

4 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: The schematic of the equilibrium establishment of (a) the original data with heteroscedasticity and (b) transformed data with a weight function

5 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: (a) a data set with heteroscedastic characteristics [1], and plots of residuals against x with (b) w(xi) = 1; (c) w(xi) = 1/xi; (d) w(xi) = 1/xi2; and (e) w(xi) = 1/xi1/2

6 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: The equilibrium mechanism of the two-stress level heteroscedastic data

7 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: The mean and the design curves obtained with the equilibrium mechanism for multiple-stress level heteroscedastic creep growth rate data

8 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: The mean and the design curves obtained with the equilibrium mechanism for two-stress level heteroscedastic fatigue data.

9 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: The mean curves obtained for the heteroscedastic creep data (a) without trimming operation and (b) with trimming operation

10 Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance J. Pressure Vessel Technol. 2014;136(2): doi: / Figure Legend: Plots of residuals against x for (a) without weight and (b) with the introduction of weight


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