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Table 2 The probabilities of inequalities after simple randomization in groups of older men, based on scores of selected functional tests

From: Small samples and increased variability – discussing the need for restricted types of randomization in exercise interventions in old age

    

Probability for inequalities between experimental groups (mean difference ± SD)

Functional test

Sample

Expected mean ± SD

Participants per group

10% difference

15% difference

20% difference

Timed Up and Go

60+ years

10.8 ± 2.5 s

Ibrahim et al., 2017 [26]

15

24.0% (1.5 ± .4)

7.8% (2.0 ± .3)

2.0% (2.5 ± .3)

20

17.5% (1.5 ± .3)

4.3% (1.9 ± .3)

.7% (2.4 ± .2)

25

13.0% (1.4 ± .3)

2.3% (1.9 ± .2)

.3% (2.3 ± .2)

Normal Walking Speed

70–79 years

120.0 ± 21.0 cm/s

Atkinson, 2007 [27]

15

11.7% (15.3 ± 2.9)

2.0% (20.5 ± 2.4)

.2% (25.9 ± 1.9)

20

7.1% (14.6 ± 2.4)

.7% (19.9 ± 2)

.03% (24.9 ± 1.4)

25

4.5% (14.2 ± 2.0)

.3% (19.8 ± 1.8)

.006% (25.1 ± 1.1)

Functional Reach

Hypertensive 80.9 ± 4.3

29.3 ± 7.5 cm

Bohannon et al., 2017 [28]

15

28.2% (4.3 ± 1.2)

11.0% (5.5 ± 1.0)

3.3% (6.8 ± .9)

20

22.0% (4.1 ± 1.0)

6.5% (5.3 ± .9)

1.4% (6.6 ± .7)

25

16.9% (3.9 ± .8)

3.9% (5.1 ± .7)

.6% (6.4 ± .6)

Sit-to-Stand

60–94 years

14.2 ± 4.6 reps/30s

Rikli and Jones, 1999 [29]

15

39.9% (2.4 ± .8)

20.9% (2.9 ± .7)

9.3% (3.5 ± .6)

20

32.8% (2.2 ± .7)

14.5% (2.8 ± .6)

5.2% (3.4 ± .5)

25

27.5% (2.1 ± .6)

10.4% (2.7 ± .5)

3.0% (3.3 ± .4)

Handgrip Strength

75–79 years

81.9 ± 9.94 pounds

Jansen et al., 2008 [30]

15

2.4% (9.4 ± 1.2)

.07% (13.1 ± .9)

0% (NA)

20

.9% (9.1 ± .9)

.01% (12.8 ± .6)

0% (NA)

25

.4% (9.0 ± .8)

.002% (12.26 ± .1)

0% (NA)

Unipedal Balance Testa

65–69 years

26.3 ± 18.4 s

Lohne-Seiler et al., 2016 [31]

15

64.1% (9.7 ± 4.5)

48.4% (11.1 ± 4.2)

35.1% (12.7 ± 4)

20

59.3% (8.7 ± 3.8)

42.1% (10.3 ± 3.5)

28.6% (11.8 ± 3.3)

25

54.6% (8.1 ± 3.4)

36.6% (9.7 ± 3.1)

23.0% (11.2 ± 2.8)

  1. aCalculated with the assumption of non-normal distribution due to the large SD