RMSEA function

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

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

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

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

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.

Returns

• RMSEA: the estimated value

• RMSEA-L: the lower bound

• RMSEA-U: the upper bound

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.

Author(s)

William Revelle

See Also

fa, omega , esem