| Model 1: Proportion of flu vaccine doses given (number given of number of vaccine doses possible) | Model 2: Number of consent forms returned | Model 3: Number of consent forms where consent was granted | Model 4: Number of consent forms where consent was refused | ||||
---|---|---|---|---|---|---|---|---|
β (SE) | p | β (SE) | p | β (SE) | p | β (SE) | p | |
Treatment (base = control) | ||||||||
 Letter | 0.029 (0.041) | 0.476 | 0.129 (0.059) | 0.03 | 0.032 (0.040) | 0.42 | 0.174 (0.058) | < 0.001 |
 Reminder | 0.086 (0.041) | 0.036 | 0.150 (0.059) | 0.01 | 0.100 (0.040) | 0.01 | 0.057 (0.059) | 0.33 |
 LetteraReminder | −0.036 (0.058) | 0.533 | −0.118 (0.084) | 0.16 | − 0.052 (0.057) | 0.37 | −0.068 (0.083) | 0.41 |
 Free school meals (%) | −0.017 (0.002) | <  0.001 | − 0.021 (0.003) | < 0.001 | − 0.015 (0.002) | < 0.001 | − 0.010 (0.003) | < 0.001 |
Ethnicity (%) White dropped as baseline | ||||||||
 Mixed | 0.002 (0.005) | 0.759 | 0.001 (0.008) | 0.92 | 0.001 (0.005) | 0.92 | 0.009 (0.008) | 0.25 |
 Asian | −0.012 (0.001) | <  0.001 | −0.009 (0.002) | < 0.001 | − 0.012 (0.001) | < 0.001 | 0.010 (0.002) | < 0.001 |
 Black | −0.012 (0.003) | <  0.001 | −0.026 (0.004) | < 0.001 | − 0.015 (0.003) | < 0.001 | − 0.023 (0.005) | < 0.001 |
 Other | − 0.020 (0.008) | 0.017 | − 0.020 (0.012) | 0.11 | − 0.021 (0.008) | 0.01 | 0.018 (0.012) | 0.14 |
Religious denomination (base = no religion) | ||||||||
 Catholic | −0.046 (0.063) | 0.463 | 0.210 (0.091) | 0.02 | −0.005 (0.062) | 0.94 | 0.450 (0.008) | < 0.001 |
 Church of England | −0.051 (0.037) | 0.172 | 0.053 (0.054) | 0.32 | −0.020 (0.037) | 0.58 | 0.165 (0.053) | < 0.001 |
 Other Christian Faith | 0.276 (0.456) | 0.545 | −0.105 (0.658) | 0.87 | 0.104 (0.445) | 0.81 | −0.351 (0.660) | 0.59 |
 Sikh | 0.486 (0.481) | 0.312 | −0.194 (0.682) | 0.78 | 0.407 (0.471) | 0.39 | −1.279 (0.751) | 0.09 |
 Other | 0.798 (0.463) | 0.085 | 0.266 (0.672) | 0.69 | 0.833(0.454) | 0.07 | −1.084 (0.655) | 0.10 |
High deprivation, quintile = 1 (base = quintiles 2–5) | −0.073 (0.054) | 0.171 | −0.165 (0.077) | 0.03 | −0.103 (0.053) | 0.05 | −0.193 (0.078) | 0.01 |
Urban (base = rural) | 0.062 (0.039) | 0.115 | 0.004 (0.056) | 0.94 | 0.055 (0.039) | 0.15 | −0.030 (0.056) | 0.59 |
Constant | 0.804 (0.049) | <  0.001 | 1.528 (0.07) | < 0.001 | 0.945 (0.048) | < 0.001 | −2.506 (0.071) | < 0.001 |
Variation between schools | 0.165 (0.010) | <  0.001 | 0.379 (0.023) | < 0.001 | 0.156 (0.010) | < 0.001 | 0.308 (0.021) | < 0.001 |
Variation between school year nested in schools | 0.042 (0.005) | <  0.001 | 0.066 (0.007) | < 0.001 | 0.043 (0.005) | < 0.001 | 0.047 (0.010) | < 0.001 |
ICC | 0.047 (0.003) | Â | 0.102 (0.005) | Â | 0.045 (0.003) | Â | 0.085 (0.005) | Â |
Wald chi2(3) | 399.18 | 335.62 | 448.13 | 169.83 | ||||
Prob > chi2 | <  0.001 | <  0.001 | <  0.001 | < 0.001 | ||||
LR test | 3356.94 | 5122.97 | 2996.16 | 1811.57 | ||||
Prob > LR | <  0.001 | <  0.001 | <  0.001 | < 0.001 | ||||
n | 3010 | 2994 | 2994 | 2994 |