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. 2023 Jul 10;23:472. doi: 10.1186/s12903-023-03144-2

Table 4.

Multilevel model to explore factors associated with the 6-month gingival margin distance reduction (mm) at the surgical area and at the experimental site

Term Surgical Area Experimental Site
Estimate SE p-Value 95% CI Estimate SE p-value 95% CI
Intercept 3.73 0.89 < 0.001 1.98; 5.47 4.30 1.07 < 0.001 2.19; 6.40
Patient level
Gender –0.32 0.43 0.46 –1.15; 0.52 –0.57 0.49 0.25 –1.54; 0.39
Age 0.02 0.02 0.28 –0.02; 0.06 0.06 0.02 0.01 0.02; 0.10
Smoke 0.25 0.42 0.56 –0.58;1.07 0.15 0.48 0.75 –0.80; 1.09
Phenotype
1 –0.55 0.39 0.15 –1.32; 0.21 –1.46 0.45 < 0.001 –2.34; 0.58
2 0.19 0.43 0.65 –0.65; 1.04 0.43 0.50 0.39 –0.55; 1.40
Site level
Treatment (0 = Apical) –0.95 0.25 < 0.001 –1.44; -0.46 –1.60 0.39 < 0.001 –2.35; − 0.83
GMD T0 0.80 0.09 < 0.001 0.62; 0.97 0.60 0.08 < 0.001 0.45; 0.75
Time level
T1 –1.39 0.16 < 0.001 –1.70; -1.08 –2.00 0.20 < 0.001 –2.40; − 1.60
T3 –1.76 0.16 < 0.001 –2.07; -1.45 –2.44 0.20 < 0.001 –2.84; − 2.03
T6 –2.01 0.16 < 0.001 –2.32; -1.70 –2.62 0.20 < 0.001 –3.02; − 2.22
Interaction
Treatment (1 = Crestal)*T1 0.65 0.22 < 0.001 0.21; 1.09 1.19 0.29 < 0.001 0.61; 1.76
Treatment (1 = Crestal)*T3 0.75 0.22 < 0.001 0.31; 1.19 1.31 0.29 < 0.001 0.74; 1.88
Treatment (1 = Crestal)*T6 0.71 0.22 < 0.001 0.27; 1.15 1.38 0.29 < 0.001 0.80; 1.94
Variances
σ2n patient 0.12 0.15 1.94− 11
σ2u site 0.29 0.13 0.71 0.19
σ2e time 0.20 0.02

Theoretic model at the surgical area and at the experimental site: GMDijk = β0ijk + β1k Gender (0 = female) + β2k Age + β3k Smoke (0 = No) + β4k Phenotype (0 = thin) + β5jk Treatment (0 = Apical) + β6jk GMD T0 + β7ijk T1 (GMD 1 month respect to GMD at surgery) + β8ijk T3 (GMD 3 months respect to GMD at surgery) + β9ijk T6 (GMD 6 months respect to GMD at surgery) + β10ijk Treatment (0 = Apical)*T1 + β11ijk Treatment (0 = Apical)*T3 + β12ijk Treatment (0 = Apical)*T6.

σ2n, σ2u, and σ2e indicate the variances at the Patient, at the Site and at the Time level respectively. In the theoretic model formula, the subscript k refers to the Patient level. The subscript j refers to the Site level. The subscript i refers to the Time level. b0ijk is the “intercept”. SE standard error; Apical Flap apical to the bone crest; Crestal Flap at the level of the bone crest