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psych (version 2.4.6.26)

RMSEA: Root Mean Squared Error of Approximation from chisq, df, and n

Description

Find the RMSEA from model chi square, degrees of freedom and number of observations. Show confidence intervals.

Usage

RMSEA(chisq, dof, n.obs, alpha = 0.1)

Value

RMSEA

the estimated value

RMSEA-L

the lower bound

RMSEA-U

the upper bound

Arguments

chisq

The Chi square statistic from an analysis

dof

Degrees of freedom of the model

n.obs

Number of observations

alpha

alpha level for confidence intervals

Author

William Revelle

Details

RMSEA is just a chisquare adjusted by its degrees of freedom and the sample size. \(\sqrt{chisq/(dof * (nobs)) -1/(n.obs -1)}\). It is given in most of the appropriate functions (e.g.,fa) and given here for completeness.

References

Steiger, J. H.,and Lind, J. C. (1980). Statistically based tests for the number of common factors. Paper presented at the Annual Meeting of the Psychometric Society, Iowa City, IA.

See Also

fa, omega , esem