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Table 3 Calculations for the log-rank test to compare treatments for the data in Table 1

From: Statistics review 12: Survival analysis

Survival time (days)

Treatment group

Number known to be alive (ri)

Deaths (di)

Risk for death (di/ri)

Number known to be alive from treatment group 2 (r2i)

Expected number of events in treatment group 2 (E2i)

0

      

1

2

15

2

2/15 = 0.133

8

8 × 0.133 = 1.07

1

2

     

4

2

13

1

1/13 = 0.077

6

6 × 0.077 = 0.46

5

2

12

1

1/12 = 0.083

5

5 × 0.083 = 0.42

6+

2

11

0

0/11 = 0

4

4 × 0 = 0.00

8

1

10

1

1/10 = 0.100

3

3 × 0.100 = 0.30

9

2

9

1

1/9 = 0.111

3

3 × 0.111 = 0.33

9+

2

8

0

0/8 = 0

2

2 × 0 = 0.00

12

1

7

1

1/7 = 0.143

1

1 × 0.143 = 0.14

15+

1

6

0

0/6 = 0

1

1 × 0 = 0.00

22

2

5

1

1/5 = 0.200

1

1 × 0.200 = 0.20

25+

1

4

0

0/4 = 0

0

0 × 0 = 0.00

37

1

3

1

1/3 = 0.333

0

0 × 0 = 0.00

55

1

2

1

1/2 = 0.500

0

0 × 0 = 0.00

72+

1

     
      

E2 = 2.92