Description

The Centers for Disease Control (CDC) published data on the body dimensions of pediatric patients in 2000. This included data on the body mass index of boys aged from 2 to 20 years.


body mass index =

= (body weight in kilograms) / ((height in meters)^2)

 

Equations derived in JMP

 

predicted BMI in kg per square meter =

= (A * ((age in months)^3)) + (B * ((age in months)^2)) + (C * (age in months)) + D

 

NOTE: While the equations are more compact than the CDC tables, problems may arise with (a) rounding of coefficients and (b) ages > 150 months (when taken to higher powers). The tables should be validated prior to clinical use.

 

interval in months

percentile

A

B

C

D

24-48.5

3rd

0

0.0003452

-0.052763

15.587548

 

5th

0

0.0003249

-0.05244

15.810183

 

10th

0

0.0003597

-0.056277

16.233135

 

25th

0

0.0004292

-0.064604

17.042926

 

50th

0

0.0006467

-0.085637

18.262221

 

75th

0

0.00105

-0.121802

19.878231

 

90th

0

0.0016777

-0.175898

21.864903

 

95th

0

0.0022358

-0.222976

23.399558

 

97th

0

0.0027181

-0.263238

24.608133

48.5-108.5

3rd

0

0.0002823

-0.046202

15.419156

 

5th

0

0.0003053

-0.049068

15.690611

 

10th

0

0.0003597

-0.056334

16.232651

 

25th

-0.000001

0.0006846

-0.083733

17.493863

 

50th

-0.000002

0.0009583

-0.105723

18.71423

 

75th

-0.000003

0.0013956

-0.135325

20.102279

 

90th

-0.0000057

0.0020537

-0.174479

21.562601

 

95th

-0.0000088

0.0028015

-0.219817

22.881517

 

97th

-0.000012

0.0036516

-0.274253

24.280271

108.5-168.5

3rd

0

0.0002415

-0.034476

14.621513

 

5th

0

0.0002386

-0.031987

14.614647

 

10th

0

0.000235

-0.028107

14.621351

 

25th

0

0.0002156

-0.017241

14.425168

 

50th

0

0.0001826

-0.000427

14.057231

 

75th

0

0.0001062

0.0311005

12.970116

 

90th

0

-0.000024

0.0800441

11.064767

 

95th

0

-0.000176

0.1321325

8.8095722

 

97th

0

-0.000348

0.1870866

6.2543759

168.5-240

3rd

-0.00000224

0.0012661

-0.191664

22.717153

 

5th

-0.00000241

0.0013627

-0.209836

24.12687

 

10th

-0.00000228

0.0012758

-0.190108

23.157874

 

25th

-0.00000198

0.0010945

-0.148541

21.008315

 

50th

-0.000001632

0.0008915

-0.104077

19.186961

 

75th

-0.00000028

0.0000811

0.060847

9.9861462

 

90th

0.00000224

-0.001398

0.3503902

-6.229976

 

95th

0.00000473

-0.002846

0.6263186

-21.38313

 

97th

0.0000074

-0.004377

0.9160065

-37.56894

 


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