Scaling of utility values: What is the formula for converting Raw Utilities to Zero-Centered Difference values

Dear Sawtooth Community,

in the Utility Report of Lighthouse's Analysis Manager you have the option to display estimated part-worth utilities in "raw" and "zero-centered differences" format. What is surprising to me is that the ratios of utilities and even the order of attribute level values change depending on whether I display them in raw or scaled mode. Thus, it seems to me that it is not just a linear transformation.

Can you please indicate the formula that converts the values from "raw" to "zero-centered differences" and vice versa?

Thank you in advance and best regards,
Mike

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