I have faced an issue about calculating the Lambda value of a given dataset. I used Minitab's (v. 19) Box-Cox Transformation and I got a Lambda value. I calculated the Lambda by following the calculation steps prescribed by Cole (1990) (see below) and I had a different Lambda value.

What I want to ask is, how does Minitab calculate the Lambda for Box-Cox Transformation? And is the formula that Minitab uses different from Cole's method?

Why are the two results different? Excel calculations give L=0,4622 but Minitab returns L=0,57.

You may find the screenshots depicting the calculations attached (sample values are used).

Thanks for any help, in advance.