Brett,
No. It is not defensible to sum them because it violates the assumption of
summate rating scale.
Peter Chen

        -----Original Message-----
        From:   Magill, Brett [SMTP:[EMAIL PROTECTED]]
        Sent:   Tuesday, December 07, 1999 9:43 AM
        To:     [EMAIL PROTECTED]
        Subject:        Scale Reliability

        Just wanted people's thought on the following:

        I am a graduate student in sociology studying individual's
perceptions of
        control (locus of control) using existing data.  The data set
include four
        items to measure this construct which were taken from a larger scale
of more
        than twenty, the larger scale reaching an acceptable level of
reliability (I
        do not know the exact level, but it is a widely researched and used
        instrument) in previous research.  The four items that were included
were
        selected as the best measures of the construct based on empirical
evidence
        (item-total correlation's, factor analysis).

        In my own research, I used these items and decided to sum responses
across
        these four likert-type items.  However, the Alpha reliability is
very low
        0.30 (items were reverse scored as necessary and coding was
double-checked).
        I defended the decision to sum the items, despite the low Alpha,
based on
        the fact that they were selected from a larger set of items which
are
        internally consistent. In presenting my findings, I was heavily
criticized
        for this decision.

        Now, I could use individual items and a procedure such as logistic
        regression (I was using GLM before with this scale as the dependent
and a
        sample of better than 5000) without changing my conclusions (I ran
logistic
        models anticipating the criticism), however I was not convinced that
this is
        necessary.

        My question is, is summing these items defensible or at least as
defensible
        as summing any set of likert-type items to produce a single score.
Where
        could I find support for what I am doing if it is (clearly my peers
won't
        just take my word for it)?  

        Regards,

        Brett

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