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Table 1 Numerical example: expected person-year contributions and calculation procedure for a single individual

From: Estimating the standardized incidence ratio (SIR) with incomplete follow-up data

  

Rates (per 1000)

E(pyj)

  

Sensitivity analysis

E(pyj)

Year (j)

Age (i)

μij

νij

λij

 

Var(pyj) (fixed rates)

Var(pyj) (variable rates)

Factor for μij 0.5

and νij 1.5

1990

40

2

13

0.5

0.992

0.004

0.01725

0.9925

0.9775

1991

41

2

13

0.5

0.978

0.019

0.03384

0.9851

0.9558

1992

42

2

13

0.5

0.963

0.035

0.04979

0.9777

0.9449

1993

43

2

13

0.5

0.949

0.050

0.06513

0.9704

0.9238

1994

44

2

13

0.5

0.934

0.066

0.07988

0.9632

0.9031

1995

45

3

10

0.8

0.921

0.078

0.09252

0.9569

0.8840

1996

46

3

10

0.8

0.908

0.087

0.1047

0.9507

0.8670

1997

47

3

10

0.8

0.896

0.097

0.11655

0.9446

0.8500

1998

48

3

10

0.8

0.884

0.106

0.12798

0.9385

0.8335

1999

49

3

10

0.8

0.872

0.114

0.13903

0.9324

0.8173

2000

50

5

7

1.2

0.860

0.122

0.14909

0.9268

0.8008

2001

51

5

7

1.2

0.849

0.129

0.15884

0.9213

0.7854

2002

52

5

7

1.2

0.838

0.136

0.16830

0.9157

0.7700

2003

53

5

7

1.2

0.827

0.143

0.17748

0.9103

0.7552

2004

54

5

7

1.2

0.816

0.149

0.18638

0.9048

0.7404

Total

total

   

13.487

1.335

1.677

14.190

12.830

  1. Date of birth:January 1st, 1950; Begin of follow-up: January 1st, 1990;
  2. End of follow-up:December 31st, 2004
  3. μij - mortality rate (all causes other than disease of interest), age i, year j
  4. νij - migration rate, age i, year j
  5. λij - incidence rate (disease of interest), age i, year j
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BMC Medical Research Methodology

ISSN: 1471-2288

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