Table 4 Results of joint model of multivariate longitudinal model and cox PH model
Longitudinal sub model | |||||||
Parameter(fixed effects) | RR | PR | OX | ||||
\(\hat{\beta}(s.e)\) | p-value | \(\hat{\beta}(s.e)\) | p-value | \(\hat{\beta}(s.e)\) | p-value | ||
Intercept | 47.26 (1.367) | < 0.0001 | 146.74 (5.99) | < 0.0001 | 87.2967 (0.236) | < 0.0001 | |
Age | −0.371 (0.137) | 0.0061 | −1.012 (0.348) | 0.0037 | |||
Residence(urban) | 1.700 (0.79) | 0.0328 | 1.258 (0.4553) | 0.0056 | −1.001 (0.480) | 0.0361 | |
Birth order(first) | 1.595 (0.66) | 0.016 | 3.087 (0.0372) | < 0.0001 | −1.715 (0.638) | 0.007 | |
Smoking(no) | −2.266 (0.82) | 0.006 | |||||
Comorbidity(no) | −3.976 (1.96) | 0.0416 | −3.642 (1.0265) | 0.0003 | 2.335 (1.0592) | 0.0251 | |
reference = non sever | |||||||
Mild sever | 2.467 (3.18) | 0.38 | 1.019 (1.2645) | 0.9417 | −0.006 (0.863) | 0.5086 | |
Sever | 5.459 (0.86) | < 0.001 | 1.299 (0.0872) | < 0.0001 | −1.032 (0.068) | < 0.0001 | |
Age of mothers | −0.127 (0.655) | 0.846 | |||||
Visit | −0.195 (0.05) | 0.002 | −0.160 (0.0766) | 0.0360 | 0.901 (0.470) | 0.026 | |
Vaccination(vaccinated) | −8.593 (0.611) | < 0.0001 | 0.517 (1.01) | 0.6310 | |||
Reference = no breast feed | |||||||
Mixed | −0.406 (1.31) | 0.7943 | |||||
exclusive | −1.851 (0.265) | < 0.001 | |||||
Reference = single | |||||||
Married | −1.912 (0.21) | 0.226 | 3.522 (1.19) | 0.2497 | |||
Widowed | −1.266 (0.51) | 0.3360 | 1.326 (0.82) | 0.1064 | |||
Divorced | −1.111 (1.91) | 0.7037 | 1.316 (3.62) | 0.7167 | |||
Danger signs(no) | 0.579 (1.4803) | 0.6956 | |||||
Cooking place(inside living room) | −2.105 (0.9823) | 0.032 | |||||
Education of mothers(literate) | 2.704 (1.7495) | 0.0106 | |||||
Random effect variance covariance matrix for MV longitudinal sub model | |||||||
RR | PR | OX | |||||
Intercept | Slope | Intercept | Slope | intercept | slope | ||
RR | Intercept | 85.203 | 10.082 | 65.251 | 0.798 | −1.888 | 0.057 |
Slope | 0.082 | 0.021 | −0.007 | 0.001 | 0.110 | −0.080 | |
PR | Intercept | 65.251 | −0.007 | 191.990 | −2.801 | −5.802 | 0.247 |
Slope | 0.798 | 0.001 | −2.801 | 0.035 | 0.401 | −0.071 | |
OX | Intercept | −1.888 | 0.010 | −5.802 | 0.401 | 10.901 | −0.168 |
slope | 0.057 | −0.080 | 0.247 | −0.071 | −0.168 | 0.023 | |
Sd. | 9.464 | 0.147 | 20.799 | 0.187 | 3.307 | 0.153 | |
Residual standard errors | |||||||
sigma2_1 | 8.0701 | ||||||
sigma2_2 | 10.7369 | ||||||
sigma2_3 | 5.2133 | ||||||
Survival sub model | |||||||
parameter | \(\hat{\beta}(s.e)\) | Hazard ratio | p-value | ||||
Sex(female) | −0.3733 (0.5905) | 0.681 | 0.5273 | ||||
Residence(urban) | −0.604 (0.275) | 0.547 | 0.028 | ||||
Cook place(inside) | − 0.027 (0.559) | 0.973 | 0.9604 | ||||
Comorbidity(no) | 0.831 (0.400) | 2.296 | 0.038 | ||||
Birth order(first) | −1.258 (0.120) | 0.284 | < 0.001 | ||||
Age of mothers | 0.9011 (0.470) | 2.462 | 0.026 | ||||
Reference = no breast feed | |||||||
Mixed | 1.3360 (0.971) | 3.803 | 0.169 | ||||
Exclusive | 1.4011 (0.241) | 4.060 | < 0.0001 | ||||
Reference = non-sever | |||||||
Mild sever | −1.751 (0.692) | 0.173 | 0.1205 | ||||
Sever | −1.581 (0.5164) | 0.206 | 0.0022 | ||||
γ _1 | −0.297 (0.041) | 0.743 | 0.0021 | ||||
γ _2 | − 0.121 (0.034) | 0.886 | < 0.001 | ||||
γ _3 | 0.5452 (0.2007) | 1.725 | 0.006 | ||||