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Table 7 Simulation results of linear mixed effects model for diastolic blood pressure (DBP)

From: A wide range of missing imputation approaches in longitudinal data: a simulation study and real data analysis

Imputation method

\(\beta\)(SE)

MSE

RMSE

MAD

Deviance

AIC

Intercept

Age

Sex

BMI

Time

Interpolation LOCF

57.12692 (1.036437)

0.110721 (0.01569074)

-3.200021 (0.4679745)

0.6076858 (0.03919466)

-0.03359099 (0.06541523)

0.8544829

0.9243823

0.7248456

41276.48

41274.17

Interpolation global

57.8273 (1.043371)

0.1157957 (0.01596507)

-3.105459 (0.4768267)

0.5686484 (0.0392315)

-0.0001583268 (0.06915446)

0.8574769

0.9260002

0.7163417

42164.38

42162.36

Interpolation local

58.88038 (1.066751)

0.1218176 (0.01650259)

-2.977433 (0.4939002)

0.5177882 (0.03952812)

-0.003048394 (0.0758609)

0.8625397

0.9287298

0.6967078

43542.53

43541.01

Interpolation bisector

58.06074 (1.037812)

0.1174172 (0.01595732)

-3.077177 (0.4769871)

0.556664 (0.03881613)

0.001809912 (0.06918759)

0.8574504

0.9259859

0.7163166

42168.54

42166.5

copyMean.LOCF

57.00081 (1.03387)

0.1103882 (0.01568596)

-3.204943 (0.4677538)

0.6099685 (0.03927595)

-0.001061418 (0.06535353)

0.8544874

0.9243847

0.7247638

41270.68

41268.38

copyMean.global

57.84495 (1.043165)

0.1158745 (0.0159612)

-3.102947 (0.4767275)

0.5678433 (0.03922722)

-0.001208831 (0.06915227)

0.8574909

0.9260078

0.7163547

42,164.87

42,162.85

copyMean.local

58.89496 (1.066593)

0.1218706 (0.01649862)

-2.97518 (0.4938004)

0.5172117 (0.03951998)

-0.004757409 (0.07585611)

0.862551

0.9287359

0.6967423

43542.18

43540.65

copyMean.bisector

58.06104 (1.042594)

0.1172312 (0.01600515)

-3.076642 (0.478326)

0.5575218 (0.03904693)

-0.005214816 (0.0696931)

0.857842

0.9261974

0.7140068

42280.49

42278.5

LOCF

57.49097 (1.038545)

0.1133142 (0.01577389)

-3.15695 (0.4707326)

0.5878046 (0.03922799)

-0.0334933 (0.06665705)

0.8555065

0.9249358

0.731262

41582.84

41580.63

NOCB

57.25775 (1.040266)

0.1114634 (0.0157608)

-3.184888 (0.470165)

0.6029563 (0.03917165)

-0.03643286 (0.06659423)

0.855514

0.9249398

0.7311435

41571

41568.78

Traj mean

57.10225 (1.029841)

0.109581 (0.0155384)

-3.218803 (0.4635713)

0.6164219 (0.03868269)

-0.0941321 (0.0631218)

0.8522359

0.9231661

0.6860667

40,610.16

40,607.64

Traj median

57.19844 (1.03154)

0.1102181 (0.01557755)

-3.210136 (0.4648093)

0.6117111 (0.03870845)

-0.09457664 (0.0634923)

0.8524687

0.9232922

0.6891027

40703.65

40701.17

Traj hot deck

58.0675 (1.037635)

0.1161083 (0.01574523)

-3.103703 (0.4702568)

0.5685524 (0.03868641)

-0.1016675 (0.06708686)

0.8558607

0.9251272

0.7329294

41655.91

41653.68

Cross mean

63.21342 (0.8601677)

0.1152429 (0.01234626)

-1.986146 (0.3750456)

0.3417965 (0.03072266)

0.09386702 (0.06364875)

0.8720438

0.9338323

0.7347808

41749.54

41745.65

Cross median

63.21735 (0.8601629)

0.1152627 (0.01234694)

-1.985775 (0.3750706)

0.3416021 (0.03071914)

0.09380551 (0.06365677)

0.8720513

0.9338364

0.7348175

41,751.37

41,747.48

Cross hot deck

65.66129 (0.8468008)

0.1266756 (0.01312589)

-1.786334 (0.4012122)

0.227812 (0.02789353)

0.1043702 (0.07495642)

0.8837707

0.9400898

0.7394809

43910.93

43907.67

FCS-LMM

60.28196 (0.5694889)

0.1331336 (0.01184806)

-2.799347 (0.3665625)

0.4434299 (0.009853248)

-0.001280831 (0.03963784)

0.983771

0.9918523

0.7720487

416,038.4

416,030

FCS-LMM-het

60.28196 (0.5694889)

0.1331336 (0.01184806)

-2.799347 (0.3665625)

0.4434299 (0.009853248)

-0.001280831 (0.03963784)

0.983771

0.9918523

0.7720487

416038.4

416030

FCS-MLMM-LN

55.42398 (0.7026658)

0.09829657 (0.01393327)

-3.508696 (0.4267242)

0.6937822 (0.01665573)

-0.004269101 (0.04404613)

0.9835628

0.9917473

0.7891817

399097.4

399090.7

FCS-LMM-LN

56.44262 (0.702904)

0.1067229 (0.01398748)

-3.264762 (0.4311401)

0.637727 (0.01595738)

-0.0006040621 (0.04430806)

0.9835589

0.9917454

0.7878218

399616.3

399609.5

FCS-LMM-LN-het

59.93189 (0.6904816)

0.1303412 (0.01413558)

-2.855235 (0.4366778)

0.4627641 (0.0135311)

-0.001121397 (0.04495049)

0.9835606

0.9917462

0.7861603

401764.5

401757.6

JointAI

55.81188 (0.7089093)

0.1023915 (0.01398527)

-3.343369 (0.4306244)

0.6695752 (0.01675999)

-0.0005635936 (0.04423095)

0.9835587

0.9917453

0.7880473

399310.9

399304.3

hmi

55.11064 (0.7092117)

0.09754292 (0.01400461)

-3.429275 (0.4312582)

0.705085 (0.01670312)

-0.001064226 (0.04428214)

0.9835572

0.9917445

0.7880315

399153.4

399146.8

JM-SMC

55.83689 (0.7088457)

0.1025074 (0.01398475)

-3.341177 (0.4306127)

0.668478 (0.01675367)

-0.001230324 (0.04423297)

0.9835589

0.9917454

0.7880463

399367.5

399360.8

JM-SMC-het

62.32773 (0.6864609)

0.1469084 (0.01442801)

-2.568779 (0.4466799)

0.3412525 (0.009964401)

-0.0003243688 (0.04582062)

0.9835423

0.991737

0.78781

400220.2

400212.4

JM-MLMM

55.80612 (0.709103)

0.1023837 (0.01399508)

-3.342461 (0.4309438)

0.669799 (0.01673468)

-0.001470212 (0.04426241)

0.9835584

0.9917451

0.7879724

399347.5

399340.8

JM-FJ

55.85205 (0.7090387)

0.1026766 (0.01398949)

-3.336058 (0.4307582)

0.6676159 (0.01675379)

-0.001963714 (0.04424547)

0.9835587

0.9917453

0.7880535

399345.1

399338.5