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. 2019 Sep 25;14(9):e0222888. doi: 10.1371/journal.pone.0222888

Table 3. Comparison of truncated Fourier series models for seasonality of antenatal care attendance, maternal dietary intake, and infant birth size, VHEMBE study, South Africa, 2012–2013.

1st order (unimodal) 1st-2nd order (bimodal) 1st-3rd order (trimodal)
vs. Null: vs. Null: vs.1st order: vs. Null: vs. 1st-2nd order:
Outcome Nd F (df) p-value F (df) p-value F (df) p-value F (df) p-value F (df) p-value
Antenatal care attendancea
 ≥ 4 total visits 612 2.63 (2) 0.07 2.40 (4) 0.05 2.47 (2) 0.09 2.10 (6) 0.05 1.26 (2) 0.29
 First visit ≤ 12 weeks 605 1.00 (2) 0.37 0.97 (4) 0.42 0.87 (2) 0.42 0.74 (6) 0.62 0.47 (2) 0.62
Maternal diet (% of energy)b
 Carbohydrate 751 30.1 (2) <0.01 16.6 (4) <0.01 2.97 (2) 0.05 11.9 (6) <0.01 2.25 (2) 0.11
 Fat 751 32.1 (2) <0.01 17.8 (4) <0.01 3.24 (2) 0.04 12.7 (6) <0.01 2.32 (2) 0.10
 Protein 751 1.32 (2) 0.27 0.91 (4) 0.46 0.50 (2) 0.61 1.44 (6) 0.20 2.49 (2) 0.08
Infant birth size (z-score)c
 Birth weight 751 0.20 (2) 0.82 2.29 (4) 0.06 4.38 (2) 0.01 1.68 (6) 0.12 0.47 (2) 0.63
 Birth length 746 4.33 (2) 0.01 5.01 (4) <0.01 5.64 (2) <0.01 3.65 (6) <0.01 0.92 (2) 0.40
 Head circumference 746 1.24 (2) 0.29 2.57 (4) 0.04 3.88 (2) 0.02 1.92 (6) 0.07 0.65 (2) 0.52

Data are likelihood ratio or F test statistics comparing generalized linear models regressed on Fourier terms for date of birth. Four models were compared for each outcome: (1) intercept plus covariates only (Null model); (2) including the first order Fourier pair (unimodal); (3) including the first and second order Fourier pairs (bimodal); and (4) including the first through third order Fourier pairs (trimodal). F tests were used to jointly test Fourier coefficients for each nested model.

a. Models adjusted for maternal parity, HIV status, education, marital status, and pregnancy desire; father’s supportiveness of the pregnancy; household income and distance to a main road; and duration of pregnancy. Inverse probability of censoring weights applied to adjust for missing data.

b. Outcomes are dietary intake type as a percentage of total energy (kJ) in the month before delivery. Models adjusted for maternal parity, HIV status, height, education, and marital status; father’s supportiveness of the pregnancy; household income; and duration of pregnancy.

c. Outcomes are gestational age- and sex-adjusted z-scores. Models adjusted for maternal parity, HIV status, height, education, and marital status; and household income.

d. Number of participants included in each model, as determined by observed outcome data. Multiple imputation was used to impute missing covariates.