In BCIS there are 2 components Self reflectiveness and 2nd self certainty their difference is being known as composite index (SR-SC= CI). my question is what can be the overall score of BCIS, can we consider CI score as overall score of BCIS or not?
I have not used this instrument myself, but I looked at their paper.
The instrument consists of two scales, which from a content perspective are somewhat opposite:
Sample item for SR "Even though I feel strongly that I am right, I could be wrong." This item has a negative loading on the SC dimension, for which a sample item would be "When people disagree with me, they are generally wrong". So you can see from the items already that these two scales are not running in the same direction in terms of internal validity (maybe they are even in opposite directions).
Based on this internal validity, the authors decided to aggregate these dimensions by substracting them, resulting in the CI. So, if you follow the authors (and the content of the items), you can say that the overall score is indeed the CI score.
However, unlike you might have thought based on the item content these two dimensions did NOT correlate negatively in the paper, r = .16. Based on this near-zero correlation you have a strong point to assume that these two scales measure unrelated aspects. Thus, it makes not much sense to aggregate them in any way (e.g., by computing a mean, or a difference etc.). So, if you follow the given data you would keep these two dimensions separate because they are clearly not related.
Look at your data whether you could "replicate" this near-zero correlation.
Two options, two arguments, one decision...
Thanks for your comment, you got understood well my query and more or less answered my question. Thanks again
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