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Table 5 Model goodness-of-fit comparison between latent variable SEM and repeated measures ANOVA approach of Faecalibacterium based on four measurements (Sanger, 454 pyrosequencing V1V3, 454 pyrosequencing V3V5 and qPCR)

From: Comparative analysis of microbiome measurement platforms using latent variable structural equation modeling

MODEL

MODEL CONSTRAINT

GOODNESS-OF-FIT

A: Latent variable SEM

set only λ1 = 1

Chi-square

5.089 (df = 2) Pr > χ2: 0.079

RMSEA

0.105

CFI

0.994

B: Equivalent to repeated measures ANOVA (multivariate approach)

set all indicator path coefficient λi ≡ 1 (i = 1, 2, 3, 4)

Chi-square

129.955 (df = 5) Pr > χ2: < .001

RMSEA

0.421

CFI

0.750

C: Equivalent to repeated measures ANOVA (univariate approach)

set all indicator path coefficient λi ≡ 1; set all indicator error variances to be equal, var (εi) ≡ σ2 (i = 1, 2, 3, 4)

Chi-square

172.068 (df = 8) Pr > χ2: < .001

RMSEA

0.381

CFI

0.671