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Is the scale meant to represent the sum of responses (each response is an element of, say, the set {1, 2, 3, 4, 5}) of a case (an individual) to a set of questions (items)? And is a "scale mean" the mean of the values of the scale variable in the entire sample?

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Yes, the scale referenced when the model is Alpha is one created by summing the item values for the identified items.

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