2025_lana_prf_clinical_trial_BBCE

Author

SU

CREATED

June 18, 2025

UPDATED

June 18, 2025

Data

Rows: 35
Columns: 20
$ patient_number                                      <dbl> 1, 2, 3, 4, 5, 6, …
$ gender_1_male_2_female                              <chr> "female", "female"…
$ age                                                 <dbl> 41, 23, 17, 40, 19…
$ study_groups_1_test_2_control                       <chr> "TEST", "TEST", "C…
$ type_of_procedure_1_bsso_2_bimax_3_bsso_g_4_bimax_g <chr> "BiMax", "BiMax", …
$ gap_size_r_mm                                       <dbl> 5.14, 1.55, 5.88, …
$ gap_size_l_mm                                       <dbl> 8.60, 1.39, 11.08,…
$ rotation_of_occlusal_plane                          <dbl> -2.675, 4.965, -0.…
$ fracture_pattern_r_1_type_2_type                    <chr> "type 2", "type 2"…
$ fracture_pattern_l_1_type_2_type                    <chr> "type 2", "type 1"…
$ bad_split_presence_r_0_no_1_yes                     <chr> "no", "no", "no", …
$ bad_split_precence_l_0_no_1_yes                     <dbl> 0, 0, 0, 0, 0, 0, …
$ proximal_segment_postoperative_position_r           <dbl> 1, 2, 1, 1, 1, 1, …
$ proximal_segment_postoperative_position_l           <dbl> 1, 1, 1, 1, 1, 1, …
$ bone_gain_r_mm3                                     <dbl> 371, 706, 1051, 58…
$ bone_gain_l_mm3                                     <dbl> 491, 548, 646, 800…
$ bone_resorption_remodelling_r_mm3                   <dbl> 230, 233, 451, 256…
$ bone_resorption_remodelling_l_mm3                   <dbl> 236, 397, 61, 137,…
$ net_bone_volume_change_r_mm3                        <dbl> 141, 473, 600, 324…
$ net_bone_volume_change_l_mm3                        <dbl> 255, 151, 585, 663…

EDA

Characteristic CONTROL
N = 141
TEST
N = 211
gender

    female 7 (50%) 10 (48%)
    male 7 (50%) 11 (52%)
age 21 (19, 23) 25 (20, 33)
type_of_procedure

    BiMax 10 (71%) 16 (76%)
    BiMax + Genioplasty 0 (0%) 3 (14%)
    BSSO 4 (29%) 1 (4.8%)
    BSSO + Genioplasty 0 (0%) 1 (4.8%)
gap_size_r_mm 2.52 (1.47, 5.28) 3.13 (1.74, 5.13)
gap_size_l_mm 3.36 (2.23, 6.80) 3.58 (2.60, 5.91)
rotation_of_occlusal_plane 1.2 (-0.6, 3.0) 0.6 (0.0, 5.0)
fracture_pattern_r

    type 1 8 (62%) 15 (71%)
    type 2 5 (38%) 6 (29%)
    Unknown 1 0
fracture_pattern_l

    type 1 6 (50%) 14 (67%)
    type 2 6 (50%) 7 (33%)
    Unknown 2 0
bad_split_presence_r 1 (7.1%) 0 (0%)
bad_split_presence_l 2 (14%) 0 (0%)
proximal_segment_postoperative_position_r

    1 5 (36%) 10 (48%)
    2 7 (50%) 9 (43%)
    3 2 (14%) 2 (9.5%)
proximal_segment_postoperative_position_l

    1 8 (57%) 12 (57%)
    2 5 (36%) 7 (33%)
    3 1 (7.1%) 2 (9.5%)
bone_gain_r_mm3 517 (391, 607) 640 (546, 900)
bone_gain_l_mm3 463 (268, 646) 566 (488, 734)
bone_resorption_remodelling_r_mm3 279 (218, 352) 233 (191, 355)
bone_resorption_remodelling_l_mm3 218 (166, 321) 276 (181, 365)
net_bone_volume_change_r_mm3 286 (79, 362) 414 (355, 613)
net_bone_volume_change_l_mm3 153 (38, 383) 320 (185, 515)
1 n (%); Median (Q1, Q3)

MODELLING

Gap size model

Characteristic Beta 95% CI
Study Group

    CONTROL
    TEST -0.62 -2.2, 0.92
Gender

    female
    male 0.19 -1.2, 1.6
Age 0.04 -0.06, 0.13
Type of Procedure

    BiMax
    BiMax + Genioplasty 6.1 3.6, 8.6
    BSSO 0.07 -2.0, 2.2
    BSSO + Genioplasty 1.4 -2.7, 5.5
Side (R / L)

    gap_size_l_mm
    gap_size_r_mm -1.0 -2.0, -0.08
Abbreviation: CI = Confidence Interval

Check assumptions

Bone gain model

Characteristic Beta 95% CI
Study Group

    CONTROL
    TEST 101 -42, 244
Gender

    female
    male 138 6.5, 270
Age -6.6 -15, 2.0
Type of Procedure

    BiMax
    BiMax + Genioplasty 561 327, 794
    BSSO -134 -328, 61
    BSSO + Genioplasty 81 -301, 462
Side (R / L)

    bone_gain_l_mm3
    bone_gain_r_mm3 66 -18, 150
Abbreviation: CI = Confidence Interval

Bone resorption

Characteristic Beta 95% CI
Study Group

    CONTROL
    TEST -19 -109, 72
Gender

    female
    male 67 -17, 150
Age -0.12 -5.5, 5.3
Type of Procedure

    BiMax
    BiMax + Genioplasty 66 -82, 214
    BSSO 30 -94, 153
    BSSO + Genioplasty -5.2 -247, 237
Side (R / L)

    bone_resorption_remodelling_l_mm3
    bone_resorption_remodelling_r_mm3 28 -27, 83
Abbreviation: CI = Confidence Interval

Net volume model

Characteristic Beta 95% CI
Study Group

    CONTROL
    TEST 120 -35, 275
Gender

    female
    male 72 -71, 215
Age -6.5 -16, 2.8
Type of Procedure

    BiMax
    BiMax + Genioplasty 495 242, 748
    BSSO -164 -375, 48
    BSSO + Genioplasty 86 -328, 499
Side (R / L)

    net_bone_volume_change_l_mm3
    net_bone_volume_change_r_mm3 38 -51, 128
Abbreviation: CI = Confidence Interval

ETC

check if each patient have both sides

# A tibble: 1 × 2
  n_groups     n
     <int> <int>
1        1    35
# A tibble: 2 × 2
  study_group     n
  <chr>       <int>
1 CONTROL        14
2 TEST           21

Stats power test

# Fixed Effects

Parameter                               | Coefficient |   SE |         95% CI
-----------------------------------------------------------------------------
(Intercept)                             |        3.41 | 1.25 | [ 0.91,  5.90]
study group [TEST]                      |       -0.62 | 0.79 | [-2.20,  0.95]
gender [male]                           |        0.19 | 0.72 | [-1.26,  1.64]
age                                     |        0.04 | 0.05 | [-0.06,  0.13]
type of procedure [BiMax + Genioplasty] |        6.14 | 1.28 | [ 3.57,  8.70]
type of procedure [BSSO]                |        0.07 | 1.07 | [-2.07,  2.21]
type of procedure [BSSO + Genioplasty]  |        1.36 | 2.10 | [-2.83,  5.55]
side [gap_size_r_mm]                    |       -1.03 | 0.49 | [-2.01, -0.06]

Parameter                               | t(60) |      p
--------------------------------------------------------
(Intercept)                             |  2.73 | 0.008 
study group [TEST]                      | -0.79 | 0.430 
gender [male]                           |  0.26 | 0.793 
age                                     |  0.76 | 0.450 
type of procedure [BiMax + Genioplasty] |  4.78 | < .001
type of procedure [BSSO]                |  0.06 | 0.949 
type of procedure [BSSO + Genioplasty]  |  0.65 | 0.519 
side [gap_size_r_mm]                    | -2.12 | 0.038 

# Random Effects

Parameter                      | Coefficient
--------------------------------------------
SD (Intercept: patient_number) |        1.37
SD (Residual)                  |        2.04
Simulating: |                                                                  |Simulating: |=                                                                 |Simulating: |==                                                                |Simulating: |===                                                               |Simulating: |====                                                              |Simulating: |=====                                                             |Simulating: |======                                                            |Simulating: |=======                                                           |Simulating: |========                                                          |Simulating: |=========                                                         |Simulating: |==========                                                        |Simulating: |===========                                                       |Simulating: |============                                                      |Simulating: |=============                                                     |Simulating: |==============                                                    |Simulating: |===============                                                   |Simulating: |================                                                  |Simulating: |=================                                                 |Simulating: |==================                                                |Simulating: |===================                                               |Simulating: |====================                                              |Simulating: |=====================                                             |
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# Fixed Effects

Parameter                               | Coefficient |     SE
--------------------------------------------------------------
(Intercept)                             |      596.12 | 115.41
study group [TEST]                      |      101.00 |  72.94
gender [male]                           |      138.17 |  67.20
age                                     |       -6.59 |   4.36
type of procedure [BiMax + Genioplasty] |      560.86 | 119.08
type of procedure [BSSO]                |     -133.94 |  99.26
type of procedure [BSSO + Genioplasty]  |       80.52 | 194.53
side [bone_gain_r_mm3]                  |       66.14 |  42.92

Parameter                               |            95% CI | t(60) |      p
----------------------------------------------------------------------------
(Intercept)                             | [ 365.27, 826.98] |  5.17 | < .001
study group [TEST]                      | [ -44.90, 246.89] |  1.38 | 0.171 
gender [male]                           | [   3.75, 272.59] |  2.06 | 0.044 
age                                     | [ -15.32,   2.13] | -1.51 | 0.136 
type of procedure [BiMax + Genioplasty] | [ 322.66, 799.06] |  4.71 | < .001
type of procedure [BSSO]                | [-332.48,  64.61] | -1.35 | 0.182 
type of procedure [BSSO + Genioplasty]  | [-308.60, 469.63] |  0.41 | 0.680 
side [bone_gain_r_mm3]                  | [ -19.70, 151.99] |  1.54 | 0.129 

# Random Effects

Parameter                      | Coefficient
--------------------------------------------
SD (Intercept: patient_number) |      134.37
SD (Residual)                  |      179.53
Simulating: |                                                                  |Simulating: |=                                                                 |Simulating: |==                                                                |Simulating: |===                                                               |Simulating: |====                                                              |Simulating: |=====                                                             |Simulating: |======                                                            |Simulating: |=======                                                           |Simulating: |========                                                          |Simulating: |=========                                                         |Simulating: |==========                                                        |Simulating: |===========                                                       |Simulating: |============                                                      |Simulating: |=============                                                     |Simulating: |==============                                                    |Simulating: |===============                                                   |Simulating: |================                                                  |Simulating: |=================                                                 |Simulating: |==================                                                |Simulating: |===================                                               |Simulating: |====================                                              |Simulating: |=====================                                             |Simulating: |======================                                            |Simulating: |=======================                                           |Simulating: |========================                                          |Simulating: |=========================                                         |Simulating: |==========================                                        |Simulating: |===========================                                       |Simulating: |============================                                      |Simulating: |=============================                                     |Simulating: |==============================                                    |Simulating: |===============================                                   |Simulating: |================================                                  |Simulating: |=================================                                 |Simulating: |==================================                                |Simulating: |===================================                               |Simulating: |====================================                              |Simulating: |=====================================                             |Simulating: |======================================                            |Simulating: |=======================================                           |Simulating: |========================================                          |Simulating: |=========================================                         |Simulating: |==========================================                        |
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# Fixed Effects

Parameter                                | Coefficient |     SE
---------------------------------------------------------------
(Intercept)                              |      237.16 |  73.31
study group [TEST]                       |      -18.71 |  46.28
gender [male]                            |       66.59 |  42.64
age                                      |       -0.12 |   2.77
type of procedure [BiMax + Genioplasty]  |       65.83 |  75.56
type of procedure [BSSO]                 |       29.65 |  62.98
type of procedure [BSSO + Genioplasty]   |       -5.16 | 123.44
side [bone_resorption_remodelling_r_mm3] |       28.00 |  28.05

Parameter                                |            95% CI | t(60) |     p
----------------------------------------------------------------------------
(Intercept)                              | [  90.52, 383.80] |  3.23 | 0.002
study group [TEST]                       | [-111.28,  73.87] | -0.40 | 0.688
gender [male]                            | [ -18.71, 151.88] |  1.56 | 0.124
age                                      | [  -5.65,   5.42] | -0.04 | 0.967
type of procedure [BiMax + Genioplasty]  | [ -85.32, 216.98] |  0.87 | 0.387
type of procedure [BSSO]                 | [ -96.34, 155.63] |  0.47 | 0.640
type of procedure [BSSO + Genioplasty]   | [-252.08, 241.76] | -0.04 | 0.967
side [bone_resorption_remodelling_r_mm3] | [ -28.11,  84.11] |  1.00 | 0.322

# Random Effects

Parameter                      | Coefficient
--------------------------------------------
SD (Intercept: patient_number) |       82.91
SD (Residual)                  |      117.35
Simulating: |                                                                  |Simulating: |=                                                                 |Simulating: |==                                                                |Simulating: |===                                                               |Simulating: |====                                                              |Simulating: |=====                                                             |Simulating: |======                                                            |Simulating: |=======                                                           |Simulating: |========                                                          |Simulating: |=========                                                         |Simulating: |==========                                                        |Simulating: |===========                                                       |Simulating: |============                                                      |Simulating: |=============                                                     |Simulating: |==============                                                    |Simulating: |===============                                                   |Simulating: |================                                                  |Simulating: |=================                                                 |Simulating: |==================                                                |Simulating: |===================                                               |Simulating: |====================                                              |Simulating: |=====================                                             |Simulating: |======================                                            |Simulating: |=======================                                           |Simulating: |========================                                          |Simulating: |=========================                                         |Simulating: |==========================                                        |Simulating: |===========================                                       |Simulating: |============================                                      |Simulating: |=============================                                     |Simulating: |==============================                                    |Simulating: |===============================                                   |Simulating: |================================                                  |Simulating: |=================================                                 |Simulating: |==================================                                |Simulating: |===================================                               |Simulating: |====================================                              |Simulating: |=====================================                             |Simulating: |======================================                            |Simulating: |=======================================                           |Simulating: |========================================                          |Simulating: |=========================================                         |Simulating: |==========================================                        |Simulating: |===========================================                       |Simulating: |============================================                      |
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# Fixed Effects

Parameter                               | Coefficient |     SE
--------------------------------------------------------------
(Intercept)                             |      358.96 | 125.16
study group [TEST]                      |      119.70 |  79.15
gender [male]                           |       71.58 |  72.92
age                                     |       -6.48 |   4.74
type of procedure [BiMax + Genioplasty] |      495.03 | 129.22
type of procedure [BSSO]                |     -163.58 | 107.71
type of procedure [BSSO + Genioplasty]  |       85.68 | 211.09
side [net_bone_volume_change_r_mm3]     |       38.14 |  45.71

Parameter                               |            95% CI | t(60) |      p
----------------------------------------------------------------------------
(Intercept)                             | [ 108.61, 609.31] |  2.87 | 0.006 
study group [TEST]                      | [ -38.61, 278.02] |  1.51 | 0.136 
gender [male]                           | [ -74.28, 217.45] |  0.98 | 0.330 
age                                     | [ -15.95,   2.99] | -1.37 | 0.176 
type of procedure [BiMax + Genioplasty] | [ 236.55, 753.52] |  3.83 | < .001
type of procedure [BSSO]                | [-379.03,  51.86] | -1.52 | 0.134 
type of procedure [BSSO + Genioplasty]  | [-336.57, 507.92] |  0.41 | 0.686 
side [net_bone_volume_change_r_mm3]     | [ -53.29, 129.58] |  0.83 | 0.407 

# Random Effects

Parameter                      | Coefficient
--------------------------------------------
SD (Intercept: patient_number) |      148.17
SD (Residual)                  |      191.22
Simulating: |                                                                  |Simulating: |=                                                                 |
Simulating: |==                                                                |Simulating: |===                                                               |Simulating: |====                                                              |
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power_gap

Power for predictor 'study_group', (95% confidence interval):
       0.00% ( 0.00,  3.62)

Test: t-test with Satterthwaite degrees of freedom (package lmerTest)

Based on 100 simulations, (0 warnings, 100 errors)
alpha = 0.05, nrow = 70

Time elapsed: 0 h 0 m 6 s

nb: result might be an observed power calculation

power_gain

Power for predictor 'study_group', (95% confidence interval):
       0.00% ( 0.00,  3.62)

Test: t-test with Satterthwaite degrees of freedom (package lmerTest)

Based on 100 simulations, (0 warnings, 100 errors)
alpha = 0.05, nrow = 70

Time elapsed: 0 h 0 m 6 s

nb: result might be an observed power calculation

power_resorption

Power for predictor 'study_group', (95% confidence interval):
       0.00% ( 0.00,  3.62)

Test: t-test with Satterthwaite degrees of freedom (package lmerTest)

Based on 100 simulations, (0 warnings, 100 errors)
alpha = 0.05, nrow = 70

Time elapsed: 0 h 0 m 6 s

nb: result might be an observed power calculation

power_net_bone

Power for predictor 'study_group', (95% confidence interval):
       0.00% ( 0.00,  3.62)

Test: t-test with Satterthwaite degrees of freedom (package lmerTest)

Based on 100 simulations, (0 warnings, 100 errors)
alpha = 0.05, nrow = 70

Time elapsed: 0 h 0 m 7 s

nb: result might be an observed power calculation

HOUSECLEANING

Sample size calculation for future studies


     Two-sample t test power calculation 

              n = 23.60467
              d = 0.8333333
      sig.level = 0.05
          power = 0.8
    alternative = two.sided

NOTE: n is number in *each* group
[1] 48

so, 48 (24 +24) patients are required to detect a difference of 2.5mm if this difference really exists

for 2.0mm is

[1] 74