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Add section on similar packages.

There are several R packages that make confidence intervals for coefficient alpha, but not much support for standardized alpha. Most packages use some sort of normality assumption.

The alpha and alpha.ci functions of psych calculates confidence intervals for coefficient alpha following normal theory. semTools calculates numerous reliability coefficients with its reliability function.
The Cronbach package provides confidence intervals based on normal theory, as does the alpha.CI function of psychometric
Confidence intervals for both alphas can, in principle, be calculated using structural equation modeling together with the delta method. Packages such as lavaan can be used for this purpose, but this is seldom done.

Test the variances for correctness.

Write vignette demonstrating the correctness, perhaps?

Distribution Parallel Coefficient Checked
Normal Yes Alpha
Normal No Alpha
Elliptical Yes Alpha
Elliptical No Alpha
Arbitrary Yes Alpha
Arbitrary No Alpha
Normal Yes Standardized
Normal No Standardized
Elliptical Yes Standardized
Elliptical No Standardized
Arbitrary Yes Standardized
Arbitrary No Standardized

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