. 2020 Feb 21;8(1):20. doi: 10.3390/dj8010020

Table 6.

Significance of parameters in the model with constraints on measurement residuals and difference in parameters with constraints between both patients in each nested model for the first revision of hypothetical model (R1).

Parameter	PE in MR	UC		MW		SW		SV		SR
Parameter	PE in MR	Z	p	Z	p	Z	p	Z	p	Z	p
β_{PIR → IL1}	0.74	Id
β_{PIR → IL6}	0.69 ***	−0.40
β_{PIR → MMP8}	0.67 ***	−0.24	0.813
β_{BDI → CAL}	−0.03 ^ns	2.17	0.030	2.17	0.030
β_{BDI → OHIP}	0.11 ^ns	−0.53	0.595	−0.53	0.595
Β_{CAL → AIP}	0.67 *	−1.05	0.296	−1.43	0.154
Β_{CAL → OHIP}	0.27 *	−0.19	0.849	−0.19	0.849
σ²_BDI	46.57 ***	2.68	0.007	2.68	0.007	2.68	0.007
σ²_{ε_IL-1β}	0.65 ***	−1.75	0.081	−1.71	0.087	−1.81	0.070	−1.81	0.070
σ²_{ε_IL-6}	0.26 ***	−0.61	0.543	−0.80	0.427	−0.67	0.504	−0.67	0.504
σ²_{ε_MMP-8}	0.47 ***	−1.18	0.238	−1.31	0.189	−1.22	0.223	−1.22	0.223
σ²_{ε_CAL}	0.13 ***	1.07	0.284	1.07	0.284	0.98	0.325	0.98	0.325	−1.36	0.174
σ²_{ε_OHIP}	118.04 ***	0.60	0.551	0.60	0.551	0.59	0.558	0.59	0.558	−1.97	0.049
σ²_{ε_PIR}	0.43 *	−0.43	0.671	−0.74	0.457	−0.86	0.391	−0.86	0.391	−0.84	0.399

Note. Parameter: β = measurement or structural weight, σ² = structural variance, and σ²ε = error variance. Id = Parameter identified or set to 1 in both samples = β_PIR → IL1β. Statistic: PE in MR = point estimation in the nested model with constraints on measurement residuals (statistical significance of the parameter at a two-tailed test: ns = non-significance p > 0.05, * p ≤ 0.05, p ≤ 0.01, *** p ≤ 0.001), Z = Z-test statistic, p = probability value at a two-tailed test. Nested models: UC = unconstrained model, MW = model with constraints on the measurement weights, SW = model with constraints on the structural weights, SC = model with constrains on the structural covariances, and SR = model with constrains on the structural residuals. Variables: PIR = proinflammatory immune response, BDI = total score in the Beck Depression Inventory-II, CAL = clinical attachment loss = mean of sites with insertion loss (≥1 mm) in each participant, IL-1β = Napierian logarithm of salivary interleukin 1 beta concentration, IL-6 = Napierian logarithm of salivary interleukin 6 beta concentration, and MMP-8 = Napierian logarithm of salivary matrix metalloproteinase-8 concentration.