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A Functional Data Analysis Approach for Circadian Patterns of Activity of Teenage Girls Cover

A Functional Data Analysis Approach for Circadian Patterns of Activity of Teenage Girls

Open Access
|Apr 2015

Figures & Tables

Table 1

Demographic information of subjects in Grades 10, 11, and 12.

GradeSample SizeCovariatesn (%) or Mean (SD)
10N = 95Race *1: Hispanic35 (36.84%)
2: African American25 (26.32%)
3: Asian2 (2.11%)
4: White33 (34.74%)
BMI Group *0: Low BMI Group76 (80.00%)
1: High BMI Group19 (20.00%)
BMI **25.50 (5.44)
Family Affluence *1: Low Affluence30 (31.58%)
2: Moderate Affluence43 (45.26%)
3: High Affluence22 (23.16%)
Parental Education **Parental Education 13.49 (1.92); n = 91
Parental Education 23.13 (1.84); n = 60
11N = 85Race *1: Hispanic30 (35.29%)
2: African American25 (29.41%)
3: Asian1 (1.18%)
4: White29 (34.12%)
BMI Group *0: Low BMI Group68 (80.00%)
1: High BMI Group17 (20.00%)
BMI **25.39 (5.32)
Family Affluence *1: Low Affluence26 (30.59%)
2: Moderate Affluence38 (44.71%)
3: High Affluence21 (24.71%)
Parental Education **Parental Education 13.53 (1.98); n = 81
Parental Education 23.21 (1.84); n = 53
12N = 84Race *1: Hispanic29 (34.52%)
2: African American23 (27.38%)
3: Asian2 (2.38%)
4: White30 (35.71%)
BMI Group *0: Low BMI Group68 (80.95%)
1: High BMI Group16 (19.05%)
BMI **25.15 (5.38)
Family Affluence *1: Low Affluence26 (30.95%)
2: Moderate Affluence39 (46.43%)
3: High Affluence19 (22.62%)
Parental Education **Parental Education 13.53 (1.92); n = 80
Parental Education 23.09 (1.84); n = 53

[i] * n (%) is the number (percentage) for each level of categorical covariate.

** Mean (SD) is the mean (standard deviation) of each continuous covariate. Parental Education 1 and 2 describe the highest level of education completed by each respective guardian in the household; education level is reported using a seven point scale.

figures/Fig01_web.jpg
Figure 1

Activity patterns and activity differences of subject 909010214. In the left-hand side plots (a), (b), and (c), activity counts are shown by black dots. In the right-hand side plots (d), (e), and (f), the differences of activity counts between the three pairs of grades are shown by black dots. The smoothed Fourier expansion in each plot is shown by a red solid curve. Abbreviation: Diff = Difference.

figures/Fig02_web.jpg
Figure 2

Smoothed activity patterns. In the plots (a), (b), and (c), the individual smoothed Fourier expansions of grades 10, 11, and 12 are shown respectively. In plot (d), smoothed Fourier expansions of all three grades are shown.

figures/Fig03_web.jpg
Figure 3

Observed F-statistic and t-statistic results and related permutation critical values for a relationship between activity counts and grades. The red solid curve represents the observed statistic F(t) or T(t) at each time point, and the green dashed and blue dotted lines correspond to permutation critical values for the maximum and point-wise statistics at significance level α = 0.05, respectively.

figures/Fig04_web.jpg
Figure 4

Smoothed activity patterns by BMI status in the three grades. In the plots (a) and (b), the individual smoothed Fourier expansions of grade 10 are shown for low-BMI vs. high-BMI groups, respectively. In the plots (c) and (d), the individual smoothed Fourier expansions of grade 11 are shown for low-BMI vs. high-BMI groups, respectively. In the plots (e) and (f), the individual smoothed Fourier expansions of grade 12 are shown for low-BMI vs. high-BMI groups, respectively.

figures/Fig05_web.jpg
Figure 5

Observed t-statistic results and related permutation critical values for the activity counts between low-BMI and high-BMI groups in the three grades. The red solid curve represents the observed statistic T(t) at each time point, and the green dashed and blue dotted lines correspond to permutation critical values for the maximum and point-wise t-statistics at significance level α = 0.05, respectively.

Table S.1

Sub-sample Sizes in Grades 10, 11, and 12 by Recording Months.

Recording MonthSub-sample Sizes
Grade 10Grade 11Grade 12
201322
301831
403316
501015
63190
75420
81000
Total958584
Table S.2

Sub-sample Sizes in Grades 10, 11, and 12 by Summer Recording (i.e., Months 6, 7, 8) vs. Non-summer Recording (i.e., Months 1–5, 9–12).

Summer vs. Non-SummerSub-sample Sizes
Grade 10Grade 11Grade 12
Summer95110
Non-summer07484
Total958584
Table S.3

Sub-sample Sizes in Grades 10, 11, and 12 by Recording Months, and Low BMI and High BMI Groups.

The Recording MonthSub-sample Sizes
Grade 10Grade 11Grade 12
Low BMIHigh BMILow BMIHigh BMILow BMIHigh BMI
200211517
300315823
400726313
50037015
64272700
713410200
8280000
Total197617681668
Table S.4

Sub-sample Sizes in Grades 10, 11, and 12 by Summer Recording (i.e., Months 6, 7, 8) vs. Non-summer Recording (i.e., Months 1–5, 9–12), and Low BMI and High BMI Groups.

The Recording MonthSub-sample Sizes
Grade 10Grade 11Grade 12
Low BMIHigh BMILow BMIHigh BMILow BMIHigh BMI
Summer19762900
Non-summer0015591668
Total197617681668
figures/Fig06_web.jpg
Figure S.1

Observed F-statistic results and related permutation critical values for a relationship between activity counts and race/ethnicity. The red solid curve represents the observed statistic F(t) at each time point, and the green dashed and blue dotted lines correspond to permutation critical values for the maximum and point-wise statistics at significance level α = 0.05, respectively.

figures/Fig07_web.jpg
Figure S.2

Observed F-statistic results and related permutation critical values for a relationship between activity counts and family affluence. The red solid curve represents the observed statistic F(t) at each time point, and the green dashed and blue dotted lines correspond to permutation critical values for the maximum and point-wise statistics at significance level α = 0.05, respectively.

DOI: https://doi.org/10.5334/jcr.ac | Journal eISSN: 1740-3391
Language: English
Published on: Apr 8, 2015
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2015 Ruzong Fan, Victoria Chen, Yunlong Xie, Lanlan Yin, Sungduk Kim, Paul S Albert, Bruce Simons-Morton, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.