Table 1 Summary statistics of the probability of physical activity for the control and dementia groups.

From: Statistical learning of mobility patterns from long-term monitoring of locomotor behaviour with body-worn sensors

Parameters

State probabilities for locomotor behaviour

Lying (Sup)

Sitting Sedentary (SiSe)

Standing Sedentary (StSe)

Postural Transition (PoTr)

Sitting Active (SiAc)

Standing Active (StAc)

Walking (Gait)

Mean¶

18.8

35.5

21.4

2.59

2.46

3.41

15.9

14.1

51.2

18.4

1.21

2.25

3.41

9.42

Standard Deviation¶

23.5

15.2

10.6

1.84

1.58

1.76

8.25

15.3

19.3

13.2

0.732

1.43

1.72

8.49

Median¶

11.6

39.2

20.8

2.17

2.06

3.20

15.3

10.4

56.1

16.3

1.03

2.06

3.35

7.45

25th percentile¶

0.846

24.1

14.1

1.46

1.38

2.01

10.2

2.16

39.1

9.74

0.741

1.18

1.97

4.41

75th percentile¶

24.0

47.3

26.6

2.96

3.25

4.32

20.9

19.0

64.9

20.7

1.52

2.78

4.45

12.8

Skewness†

1.91*

−4.90 × 10−1

1.14

1.94*

9.48 × 10−1

4.43 × 10−1

4.36 × 10−1

1.62*

−7.78 × 10−1

2.10*

1.10

1.43*

2.44 × 10−1

3.50*

Kurtosis†

3.46

−2.04 × 10−1

3.66

4.83

3.61 × 10−1

−3.90 × 10−1

3.79 × 10−1

2.32

−2.00 × 10−1

5.51

1.43

2.46

−7.31 × 10−1

1.83 × 10+1

SF test§ (p-value)

1.96 × 10−9*

5.46 × 10−2

3.98 × 10−4*

1.34 × 10−7*

4.13 × 10−4*

4.75 × 10−2

2.46 × 10−1

4.53 × 10−8*

9.23 × 10−4*

3.13 × 10−8*

6.63 × 10−4

1.45 × 10−5*

2.00 × 10−1

2.20 × 10−10*

MannU‡ (p-value)

2.38 × 10−1

1.22 × 10−7*

4.15 × 10−3

6.90 × 10−10*

2.59 × 10−1

4.74 × 10−1

1.19 × 10−7*

  1. The first four moments (mean, standard deviation, skewness, and kurtosis), the three quartiles (first, median and third), and tests for normality (Shapiro-Francia), and the Mann-Whitney U test for similarity of distribution are shown. The cells with asterisks show significant behaviour at the p < 0.001. Refer to the table notes and the text for further discussion. The top and bottom rows for each parameter represent the statistics for control and dementia subjects respectively.
  2. ¶These rows shows the value of the state probabilities (π j  × 100) for clearer interpretation.
  3. †The significant skewness and kurtosis are marked with asterisks, following the discussion in Cramer43.
  4. §The p–values for the Shapiro-Francia test are shown. The p–values marked with asterisks show significant difference between the two groups at 99.9% confidence level (p < 0.001).
  5. ‡The p–values for the Mann-Whitney U test are shown. The p–values marked with asterisks (*) show significant difference between the two groups at 99.9% confidence level (p < 0.001).