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Table 2 Weight and height modeling: Distribution of parameters a1, b1, c1 and birth weight or length for STORK and STARR infants, by sex, with goodness of fit (RMSE)

From: A modified Michaelis-Menten equation estimates growth from birth to 3 years in healthy babies in the USA

  

STORK (N = 93)

STARR (N = 14,596 with weights, N = 11,626 with heights)

WEIGHT

a1

b1

c1

BW (kg)

a1

b1

c1

BW (kg)

Boys

Mean

18.9

885

3.80

3.50

16.0

531

3.40

3.34

sd

11.0

1,175

0.49

0.41

16.3

1,104

0.58

0.50

Median

15.5

567

3.72

3.45

14.1

393

3.40

3.35

IQR

6.89

450

0.67

0.62

5.77

327

0.75

0.63

Range

9.84—72.2

151 – 7,964

2.82—4.81

2.73—4.38

4.34—709

73.1 -56,713

1.04—5.90

1.11—5.41

RMSE (kg) Mean (sd)

0.475 (0.177)

0.467 (0.201)

0.647

0.245 (0.139)

0.222 (0.187)

0.431

Median (IQR)

90% < 

Girls

Mean

34.6

1,608

3.48

3.34

18.1

741

3.28

3.23

sd

108

5,578

0.57

0.48

47.6

2,962

0.54

0.48

Median

16.3

707

3.42

3.39

14.7

499

3.28

3.24

IQR

9.52

540

0.66

0.56

6.77

425

0.68

0.61

Range

7.99—746

117 – 3,8407

1.87—4.87

1.97—4.58

4.53—3,330

33.5—199,562

0.92—6.02

1.10—5.95

RMSE (kg) Mean (sd)

0.459 (0.221)

0.434 (0.324)

0.737

0.221 (0.130)

0.198 (0.171)

0.395

Median (IQR)

90% < 

HEIGHTa

    

a1

b1

c1

BL (m)

Boys

Mean

    

61.4

469

51.1

50.8

sd

    

15.8

243

2.50

2.58

Median

    

62.0

502

51.0

50.6

IQR

    

17.7

266

3.23

3.05

Range

    

23.6—349

53.7 – 4,761

38.6—59.0

38.1—58.4

RMSE (cm) Mean (sd)

    

0.962 (0.388)

0.932 (0.532)

0.998

Median (IQR)

    

90% < 

    

Girls

Mean

    

66.1

596

50.3

49.9

sd

    

27.2

403

2.40

2.52

Median

    

64.5

547

50.5

50.0

IQR

    

19.6

320

3.03

3.05

Range

    

22.7—882

54.0 – 12,557

38.9—57.8

38.6—58.4

RMSE (cm) Mean (sd)

    

0.933 (0.373)

0.910 (0.495)

0.998

Median (IQR)

    

90% < 

    
  1. Parameters for a1 and b1 are not normally distributed, so median and IQR values are more appropriate. Birth weights/heights and c1 parameters are normally distributed, so mean and standard deviations values are appropriate. All values are shown for sake of completeness
  2. Study N = : total subjects who fit the model without error
  3. BW Birthweight, BL Birth length, IQR Interquartile range, RMSE Root mean squared error, sd Standard deviation
  4. 90% < : 90% of subjects with RMSE less than
  5. aHeight information was not available for STORK babies