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Table 2 Summary of characteristics of studies included in the review by model type

From: Modelling of longitudinal data to predict cardiovascular disease risk: a methodological review

Model or study characteristic

No of papers n (%)

Simple statistical tests n (%)

Single modela n (%)

Two-stage modelb n (%)

Joint modelc n (%)

Complete case analysis n (%)

Number of patients

< 100

5 (6.3)

2 (66.7)

2 (5.0)

1 (3.4)

0 (0.0)

5 (100.0)

100–999

13 (16.5)

1 (33.3)

3 (7.5)

6 (20.7)

3 (37.5)

11 (84.6)

1000–9999

39 (49.4)

0 (0.0)

24 (60.0)

11 (37.9)

4 (50.0)

29 (74.4)

10,000+

21 (26.6)

0 (0.0)

10 (25.0)

10 (34.5)

1 (12.5)

18 (85.7)

Not reported

1 (1.3)

0 (0.0)

0 (0.0)

1 (3.4)

0 (0.0)

1 (100.0)

Number of time points

Median 2

1 (1.2)

0 (0.0)

0 (0.0)

0 (0.0)

1 (12.5)

0 (0.0)

3

27 (33.8)

3 (100.0)

13 (32.5)

9 (31.0)

2 (25.0)

21 (77.8)

≥3 (median, mean or maximum)

47 (58.8)

0 (0.0)

23 (57.5)

19 (65.5)

5 (62.5)

39 (83.0)

Not reported

5 (6.2)

0 (0.0)

4 (10.0)

1 (3.4)

0 (0.0)

5 (100.0)

Follow-up for longitudinal and survival length (years)

< 5

16 (20.0)

3 (100.0)

8 (20.0)

4 (13.8)

1 (12.5)

14 (87.5)

5 to 10

17 (21.2)

0 (0.0)

8 (20.0)

8 (27.6)

1 (12.5)

15 (88.2)

10 to 20

29 (36.2)

0 (0.0)

12 (30.0)

11 (37.9)

6 (75.0)

23 (79.3)

> 20

18 (22.5)

0 (0.0)

12 (30.0)

6 (20.7)

0 (0.0)

13 (72.2)

Follow-up for longitudinal length (years)

< 5

24 (30.0)

3 (100.0)

9 (22.5)

11 (37.9)

1 (12.5)

21 (87.5)

5 to 10

25 (31.2)

0 (0.0)

13 (32.5)

10 (34.5)

2 (25.0)

23 (92.0)

10 to 20

23 (28.8)

0 (0.0)

12 (30.0)

6 (20.7)

5 (62.5)

16 (69.6)

> 20

8 (10.0)

0 (0.0)

6 (15.0)

2 (6.9)

0 (0.0)

5 (62.5)

Follow-up for survival length (years)

< 5

19 (23.8)

0 (0.0)

9 (22.5)

9 (31.0)

1 (12.5)

16 (84.2)

5 to 10

26 (32.5)

0 (0.0)

12 (30.0)

13 (44.8)

1 (12.5)

23 (88.5)

10 to 20

23 (28.8)

0 (0.0)

10 (25.0)

7 (24.1)

6 (75.0)

16 (69.6)

> 20

4 (5.0)

0 (0.0)

4 (10.0)

0 (0.0)

0 (0.0)

2 (50.0)

No survival analysis

8 (10.0)

3 (100.0)

5 (12.5)

0 (0.0)

0 (0.0)

8 (100.0)

Time-period for start of data collection

1950s

2 (2.5)

0 (0.0)

1 (2.5)

1 (3.4)

0 (0.0)

1 (50.0)

1960s

6 (7.5)

0 (0.0)

4 (10.0)

2 (6.9)

0 (0.0)

6 (100.0)

1970s

5 (6.2)

0 (0.0)

3 (7.5)

2 (6.9)

0 (0.0)

3 (60.0)

1980s

20 (25.0)

0 (0.0)

10 (25.0)

7 (24.1)

3 (37.5)

16 (80.0)

1990s

13 (16.2)

0 (0.0)

7 (17.5)

3 (10.3)

3 (37.5)

9 (69.2)

2000s

26 (32.5)

1 (33.3)

12 (30.0)

11 (37.9)

2 (25.0)

22 (84.6)

2010s

4 (5.0)

1 (33.3)

1 (2.5)

2 (6.9)

0 (0.0)

4 (100.0)

Not reported

4 (5.0)

1 (33.3)

2 (5.0)

1 (3.4)

0 (0.0)

4 (100.0)

Decade of publication

Prior to 2000

8 (10.0)

0 (0.0)

6 (15.0)

2 (6.9)

0 (0.0)

8 (100.0)

2000s

7 (8.8)

1 (33.3)

5 (12.5)

1 (3.4)

0 (0.0)

6 (85.7)

2010s

63 (78.8)

2 (66.7)

28 (70.0)

25 (86.2)

8 (100.0)

49 (77.8)

2020

2 (2.5)

0 (0.0)

1 (2.5)

1 (3.4)

0 (0.0)

2 (100.0)

Baseline Age - mean/median

< 40

5 (6.2)

0 (0.0)

2 (5.0)

3 (10.3)

0 (0.0)

5 (100.0)

40–49

12 (15.0)

1 (33.3)

7 (17.5)

2 (6.9)

2 (25.0)

8 (66.7)

50–59

18 (22.5)

1 (33.3)

10 (25.0)

7 (24.1)

0 (0.0)

13 (72.2)

60–69

17 (21.2)

0 (0.0)

9 (22.5)

6 (20.7)

2 (25.0)

14 (82.4)

70–79

7 (8.8)

0 (0.0)

2 (5.0)

3 (10.3)

2 (25.0)

6 (85.7)

> 80

2 (2.5)

0 (0.0)

0 (0.0)

1 (3.4)

1 (12.5)

2 (100.0)

Not reported

19 (23.8)

1 (33.3)

10 (25.0)

7 (24.1)

1 (12.5)

17 (89.5)

Data Region

Asia

16 (20.0)

0 (0.0)

5 (12.5)

10 (34.5)

1 (12.5)

15 (93.8)

Europe

22 (27.5)

1 (33.3)

15 (37.5)

2 (6.9)

4 (50.0)

14 (63.6)

International

3 (3.8)

0 (0.0)

2 (5.0)

0 (0.0)

1 (12.5)

2 (66.7)

Middle East

3 (3.8)

1 (33.3)

2 (5.0)

0 (0.0)

0 (0.0)

2 (66.7)

North America

33 (41.2)

1 (33.3)

15 (37.5)

16 (55.2)

1 (12.5)

29 (87.9)

Australia & NZ

3 (3.8)

0 (0.0)

1 (2.5)

1 (3.4)

1 (12.5)

3 (100.0)

Males (%)

< 40

7 (8.8)

1 (33.3)

2 (5.0)

3 (10.3)

1 (12.5)

6 (85.7)

40s

28 (35.0)

1 (33.3)

14 (35.0)

10 (34.5)

3 (37.5)

24 (85.7)

50s

7 (8.8)

0 (0.0)

3 (7.5)

3 (10.3)

1 (12.5)

6 (85.7)

60–99

20 (25.0)

0 (0.0)

10 (25.0)

9 (31.0)

1 (12.5)

16 (80.0)

All male

11 (13.8)

0 (0.0)

7 (17.5)

2 (6.9)

2 (25.0)

8 (72.7)

Not reported

7 (8.8)

1 (33.3)

4 (10.0)

2 (6.9)

0 (0.0)

5 (71.4)

Survival outcome type

Binary

5 (6.2)

0 (0.0)

4 (10.0)

1 (3.4)

0 (0.0)

3 (60.0)

Continuous

8 (10.0)

3 (100.0)

5 (12.5)

0 (0.0)

0 (0.0)

8 (100.0)

Rate

4 (5.0)

0 (0.0)

3 (7.5)

1 (3.4)

0 (0.0)

3 (75.0)

Time to event

63 (78.8)

0 (0.0)

28 (70.0)

27 (93.1)

8 (100.0)

51 (81.0)

Longitudinal outcome type

Binary

3 (3.8)

0 (0.0)

3 (7.5)

0 (0.0)

0 (0.0)

2 (66.7)

Categorical

5 (6.2)

0 (0.0)

2 (5.0)

3 (10.3)

0 (0.0)

4 (80.0)

Continuous

69 (86.2)

3 (100.0)

32 (80.0)

26 (89.7)

8 (100.0)

57 (82.6)

Ordinal

3 (3.8)

0 (0.0)

3 (7.5)

0 (0.0)

0 (0.0)

2 (66.7)

Survival analysis adjusted for age

Unadjusted

8 (10.0)

0 (0.0)

4 (10.0)

2 (6.9)

2 (25.0)

5 (62.5)

Yes, Stratified

3 (3.8)

0 (0.0)

2 (5.0)

1 (3.4)

0 (0.0)

3 (100.0)

Yes, Baseline hazard

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

0 (0.0)

Yes, Covariate

61 (76.2)

0 (0.0)

29 (72.5)

26 (89.7)

6 (75.0)

50 (82.0)

No survival analysis

7 (8.8)

3 (100.0)

4 (10.0)

0 (0.0)

0 (0.0)

7 (100.0)

Survival analysis adjusted for sex

Unadjusted

4 (5.0)

0 (0.0)

1 (2.5)

2 (6.9)

1 (12.5)

4 (100.0)

Single sex

12 (15.0)

0 (0.0)

7 (17.5)

2 (6.9)

3 (37.5)

8 (66.7)

Yes, separate models

9 (11.2)

0 (0.0)

5 (12.5)

3 (10.3)

1 (12.5)

7 (77.8)

Yes, stratified

3 (3.8)

0 (0.0)

1 (2.5)

2 (6.9)

0 (0.0)

3 (100.0)

Yes, covariate

45 (56.2)

0 (0.0)

22 (55.0)

20 (69.0)

3 (37.5)

36 (80.0)

No survival analysis

7 (8.8)

3 (100.0)

4 (10.0)

0 (0.0)

0 (0.0)

7 (100.0)

Longitudinal Analysis adjusted for age

Unadjusted

30 (37.5)

0 (0.0)

3 (7.5)

23 (79.3)

4 (50.0)

28 (93.3)

Yes, covariate

17 (21.2)

0 (0.0)

7 (17.5)

6 (20.7)

4 (50.0)

13 (76.5)

No longitudinal analysis

33 (41.2)

3 (100.0)

30 (75.0)

0 (0.0)

0 (0.0)

24 (72.7)

Longitudinal Analysis adjusted for sex

Unadjusted

28 (35.0)

0 (0.0)

3 (7.5)

22 (75.9)

3 (37.5)

27 (96.4)

Single sex

6 (7.5)

0 (0.0)

1 (2.5)

2 (6.9)

3 (37.5)

4 (66.7)

Yes, separate models

4 (5.0)

0 (0.0)

1 (2.5)

2 (6.9)

1 (12.5)

3 (75.0)

Yes, covariate

9 (11.2)

0 (0.0)

5 (12.5)

3 (10.3)

1 (12.5)

7 (77.8)

No longitudinal analysis

33 (41.2)

3 (100.0)

30 (75.0)

0 (0.0)

0 (0.0)

24 (72.7)

Disease area

Chronic kidney disease

1 (1.2)

0 (0.0)

0 (0.0)

0 (0.0)

1 (12.5)

1 (100.0)

Cushing’s disease

1 (1.2)

1 (33.3)

0 (0.0)

0 (0.0)

0 (0.0)

1 (100.0)

Cardiovascular disease

61 (76.2)

2 (66.7)

33 (82.5)

21 (72.4)

5 (62.5)

47 (77.0)

Diabetes

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Gout

1 (1.2)

0 (0.0)

0 (0.0)

1 (3.4)

0 (0.0)

1 (100.0)

Hypertension

1 (1.2)

0 (0.0)

0 (0.0)

1 (3.4)

0 (0.0)

1 (100.0)

Impaired sleep

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Mortality

5 (6.2)

0 (0.0)

1 (2.5)

3 (10.3)

1 (12.5)

5 (100.0)

Systemic lupus erythematosus

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Stroke

7 (8.8)

0 (0.0)

3 (7.5)

3 (10.3)

1 (12.5)

6 (85.7)

Primary Outcome

Acute coronary syndrome

4 (5.0)

0 (0.0)

2 (5.0)

2 (6.9)

0 (0.0)

2 (50.0)

Atrial fibrillation

2 (2.5)

0 (0.0)

1 (2.5)

1 (3.4)

0 (0.0)

2 (100.0)

Cardiovascular mortality

7 (8.8)

0 (0.0)

6 (15.0)

1 (3.4)

0 (0.0)

4 (57.1)

Cardiovascular mortality/acute coronary syndrome/stroke

1 (1.2)

0 (0.0)

0 (0.0)

0 (0.0)

1 (12.5)

1 (100.0)

Cardiovascular disease

36 (45.0)

0 (0.0)

16 (40.0)

15 (51.7)

5 (62.5)

28 (77.8)

Cardiovascular disease risk

8 (10.0)

3 (100.0)

5 (12.5)

0 (0.0)

0 (0.0)

8 (100.0)

Cardiovascular disease/cancer/mortality

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Cardiovascular disease/mortality

2 (2.5)

0 (0.0)

1 (2.5)

1 (3.4)

0 (0.0)

2 (100.0)

Hospitalization/heart failure/cardiovascular mortality

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Hypertension

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Mortality

9 (11.2)

0 (0.0)

4 (10.0)

5 (17.2)

0 (0.0)

8 (88.9)

Stroke

8 (10.0)

0 (0.0)

2 (5.0)

4 (13.8)

2 (25.0)

7 (87.5)

Population focus

Acute coronary syndrome

4 (5.0)

0 (0.0)

3 (7.5)

1 (3.4)

0 (0.0)

2 (50.0)

Atrial fibrillation and chronic kidney disease

1 (1.2)

0 (0.0)

0 (0.0)

0 (0.0)

1 (12.5)

1 (100.0)

Chronic kidney disease

2 (2.5)

0 (0.0)

2 (5.0)

0 (0.0)

0 (0.0)

1 (50.0)

Cushing’s disease

1 (1.2)

1 (33.3)

0 (0.0)

0 (0.0)

0 (0.0)

1 (100.0)

Cardiovascular disease

37 (46.2)

1 (33.3)

17 (42.5)

18 (62.1)

1 (12.5)

32 (86.5)

Diabetes

3 (3.8)

0 (0.0)

1 (2.5)

1 (3.4)

1 (12.5)

3 (100.0)

General population

27 (33.8)

1 (33.3)

14 (35.0)

8 (27.6)

4 (50.0)

20 (74.1)

Gout

1 (1.2)

0 (0.0)

0 (0.0)

1 (3.4)

0 (0.0)

1 (100.0)

Heart failure

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

HIV

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Systemic lupus erythematosus

1 (1.2)

0 (0.0)

1 (2.5)

0 (0.0)

0 (0.0)

1 (100.0)

Mental health

1 (1.2)

0 (0.0)

0 (0.0)

0 (0.0)

1 (12.5)

1 (100.0)

  1. a One model is fitted e.g. fitted a Cox proportional hazards (PH) model for the survival outcome
  2. b Two models are fitted separately; one model was fitted to summarise longitudinal data or estimate the time effect, and then used that information in the model for disease or survival outcome. e.g. fitted a linear regression for longitudinal measurements for each individual, and then the estimated slopes were used in a Cox PH model
  3. c Longitudinal and survival outcomes are fitted simultaneously