Regression of Measurement Models

The concept of the measurement model as a tool for assessment of the error structure was applied to impedance spectroscopy initially by Agarwal et The 

The use of measurement models is superior to the use of more specific electrical circuit analogues because one can determine whether the residual errors are due to an inadequate model, to failure of data to conform to the Kr2uners-Kronig 

1 Use a circuit with Re = 10 Qcm, Rf = 100 Ocm, and Qi = 20 iF/cm to verify the equations given in Table 22.1. This problem requires use of a spreadsheet program such as Microsoft Excel or a computational programming environment such as Matlab . 

2 Verify that the impedance response that includes a CPE, following equation (13.2), satisfies the Kramers-Kronig relations. 

Using the results of Problem 8.6, explore whether the Kramers-Kronig relations can be used to detect a nonlinearity in the impedance response. Discuss the implication of your result on experimental design. 

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