On page 14 of the attached FIRST article, there are details on how the C-score is calculated. The second article by WU outlineS how the C score is calculated on page 12.
Three factors are used: SIZE, MTB or (market to book value and leverage) and LEV. It is a multiple regression modeling. See also the third article by Khalifa on page 18 for details on how to construct and run the regression. In the literature, C score and G score are analyze together. The modeling of C score is:
Dear Mahmoud here is the answer from (wu et al.,2007)
Following Khan and Watts (2007), we use two steps to analyze the relation between a firm’s C-Score and corporate governance. In the first step, we estimate C-Score for each firm-year. Then, we regress C-Score on the variables of interest in this study. Step 1. C-Score is calculated as follows. First, we estimate equation (1) with annual cross-sectional regressions (from 1996 to 2004):