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. 2021 Dec 4;37(1):124–129. doi: 10.1177/07487304211059315

Table 2.

Type III tests of fixed effects from mixed-effects model.

Effect Num DF F Value Probability
Main effects
 Vaccination_Time
(Time 2, Time 3 vs. Time 1)
2 4.33 0.0133
 Vaccine type
(AstraZeneca vs. Pfizer)
1 148.31 <0.0001
 Age
(30-39, 40-49, 50-74 vs.16-29)
3 51.15 <0.0001
 Sex
(Female vs. Male)
1 6.16 0.0131
 Days post-vaccination 6 18.78 <0.0001
Interaction terms
 Days × Vaccination_Time 12 1.26 0.2380
 Days × Vaccine type 6 7.24 <0.0001
 Days × Age 18 1.70 0.0319
 Days × sex 6 1.03 0.4010
 Vaccination_Time × Vaccine type 2 1.22 0.2945
 Vaccination_Time × Age 6 0.71 0.6446
 Vaccination_Time × Sex 2 0.44 0.6412

Details of the linear mixed modeling are: Time of vaccination (Time 1, 07:00-10:59; Time 2, 11:00-14:59; Time 3, 15:00-21:59), vaccine type (Pfizer mRNA or AstraZeneca Adenovirus), age groups (from Table 1A), sex, and days post-vaccination were treated as fixed factors. A B-spline transformation of days post-vaccination was used to model the non-linear pattern of anti-Spike antibody responses (log10 transformed) post vaccination.

Abbreviation: DF = Degrees of Freedom.

For all F tests the denominator DF was 3359.

For each F test, the fixed effect referent is the last term shown, the F and P values are the Type III tests of overall fixed effects.