. Author manuscript; available in PMC: 2014 Nov 26.

Published in final edited form as: Educ Psychol Meas. 2014 Oct;74(5):733–758. doi: 10.1177/0013164414525397

Table 1.

Sample Sizes Required for Various Covariance Structure Models as a Function of RMSEA_diff Equal to .05 (i.e., RMSEA₀ = .05, RMSEA_a = .08).

Number of measured variables: Latent factors (ratio)	Sample size, N	Degrees of freedom, df
10:2	286	34
15:3	147	87
20:4	97	164
25:5	70	265
30:6	56	390
35:7	47	539
40:8	41	712
45:8	35	917
50:10	31	1130

Note. The degrees of freedom were estimated using the formula by Rigdon (1994), where df = m* (m+ 1)/2 − 2 *m−ξ* (ξ− 1)/2 − B −Γ. RMSEA = root mean square error of approximation.