Vitamin A
Full analysis
Forest plot
Funnel plot
Egger’s test
## [1] "No replication of infants across vaccines or significant vaccine effect, therefore combined test performed"##
## Regression Test for Funnel Plot Asymmetry
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## model: mixed-effects meta-regression model
## predictor: standard error
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## test for funnel plot asymmetry: z = 0.6462, p = 0.5181Meta-analysis output
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## Random-Effects Model (k = 5; tau^2 estimator: REML)
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## logLik deviance AIC BIC AICc
## 6.2926 -12.5851 -8.5851 -9.8126 3.4149
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## tau^2 (estimated amount of total heterogeneity): 0 (SE = 0.0008)
## tau (square root of estimated tau^2 value): 0
## I^2 (total heterogeneity / total variability): 0.00%
## H^2 (total variability / sampling variability): 1.00
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## Test for Heterogeneity:
## Q(df = 4) = 2.0666, p-val = 0.7235
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## 0.0117 0.0114 1.0223 0.3067 -0.0107 0.0340
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Meta-regression output
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## Mixed-Effects Model (k = 5; tau^2 estimator: REML)
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## tau^2 (estimated amount of residual heterogeneity): 0 (SE = 0.0008)
## tau (square root of estimated tau^2 value): 0
## I^2 (residual heterogeneity / unaccounted variability): 0.00%
## H^2 (unaccounted variability / sampling variability): 1.00
## R^2 (amount of heterogeneity accounted for): NA%
##
## Test for Residual Heterogeneity:
## QE(df = 3) = 1.0419, p-val = 0.7911
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## Test of Moderators (coefficient(s) 2):
## QM(df = 1) = 1.0247, p-val = 0.3114
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## intrcpt 0.1913 0.1778 1.0758 0.2820 -0.1572 0.5399
## VaccinePolio -0.1804 0.1782 -1.0123 0.3114 -0.5297 0.1689
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Intervention-specific outputs
Summary of cholera studies
## [1] "Insufficient studies (n<2)"Summary of rotavirus studies
## [1] "Insufficient studies (n<2)"Summary of PV3 studies
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## Random-Effects Model (k = 4; tau^2 estimator: REML)
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## logLik deviance AIC BIC AICc
## 5.8875 -11.7750 -7.7750 -9.5778 4.2250
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## tau^2 (estimated amount of total heterogeneity): 0 (SE = 0.0008)
## tau (square root of estimated tau^2 value): 0
## I^2 (total heterogeneity / total variability): 0.00%
## H^2 (total variability / sampling variability): 1.00
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## Test for Heterogeneity:
## Q(df = 3) = 1.0419, p-val = 0.7911
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## 0.0109 0.0114 0.9552 0.3395 -0.0115 0.0334
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Meta-regression: secondary moderators
Age group
## [1] "Residual heterogeneity not significant (p>0.05)"Income setting
## [1] "Residual heterogeneity not significant (p>0.05)"Background immunogenicity (seroconversion rate in the control group)
## [1] "Residual heterogeneity not significant (p>0.05)"OPV-specific analysis
Forest plot
Funnel plot
Egger’s test
Infants replicated across vaccines, therefore separate tests performed
## [1] "OPV1:"##
## Regression Test for Funnel Plot Asymmetry
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## model: mixed-effects meta-regression model
## predictor: standard error
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## test for funnel plot asymmetry: z = 0.2728, p = 0.7850## [1] "OPV2:"##
## Regression Test for Funnel Plot Asymmetry
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## model: mixed-effects meta-regression model
## predictor: standard error
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## test for funnel plot asymmetry: z = -0.8915, p = 0.3727## [1] "OPV3:"##
## Regression Test for Funnel Plot Asymmetry
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## model: mixed-effects meta-regression model
## predictor: standard error
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## test for funnel plot asymmetry: z = 0.0640, p = 0.9490Meta-analysis output
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## Multivariate Meta-Analysis Model (k = 12; method: REML)
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## logLik Deviance AIC BIC AICc
## 20.3740 -40.7480 -36.7480 -35.9522 -35.2480
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## Variance Components:
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## estim sqrt nlvls fixed factor
## sigma^2 0.0000 0.0000 4 no Reference
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## Test for Heterogeneity:
## Q(df = 11) = 10.6488, p-val = 0.4731
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## 0.0016 0.0059 0.2637 0.7920 -0.0100 0.0132
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Meta-regression output
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## Multivariate Meta-Analysis Model (k = 12; method: REML)
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## Variance Components:
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## estim sqrt nlvls fixed factor
## sigma^2 0.0000 0.0000 4 no Reference
##
## Test for Residual Heterogeneity:
## QE(df = 9) = 9.7130, p-val = 0.3742
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## Test of Moderators (coefficient(s) 2:3):
## QM(df = 2) = 0.9358, p-val = 0.6263
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## intrcpt -0.0037 0.0147 -0.2529 0.8004 -0.0324 0.0250
## Measure_of_SCOPV2 N-AB 0.0024 0.0166 0.1425 0.8867 -0.0302 0.0350
## Measure_of_SCOPV3 N-AB 0.0146 0.0186 0.7869 0.4313 -0.0218 0.0511
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## intrcpt
## Measure_of_SCOPV2 N-AB
## Measure_of_SCOPV3 N-AB
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Serotype-specific outputs
Summary of PV1 studies
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## Random-Effects Model (k = 4; tau^2 estimator: REML)
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## logLik deviance AIC BIC AICc
## 3.0671 -6.1343 -2.1343 -3.9370 9.8657
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## tau^2 (estimated amount of total heterogeneity): 0.0039 (SE = 0.0050)
## tau (square root of estimated tau^2 value): 0.0625
## I^2 (total heterogeneity / total variability): 74.21%
## H^2 (total variability / sampling variability): 3.88
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## Test for Heterogeneity:
## Q(df = 3) = 7.5597, p-val = 0.0560
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## 0.0157 0.0397 0.3959 0.6922 -0.0621 0.0935
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Summary of PV2 studies
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## Random-Effects Model (k = 4; tau^2 estimator: REML)
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## logLik deviance AIC BIC AICc
## 6.8208 -13.6416 -9.6416 -11.4444 2.3584
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## tau^2 (estimated amount of total heterogeneity): 0 (SE = 0.0004)
## tau (square root of estimated tau^2 value): 0
## I^2 (total heterogeneity / total variability): 0.00%
## H^2 (total variability / sampling variability): 1.00
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## Test for Heterogeneity:
## Q(df = 3) = 1.1113, p-val = 0.7743
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## Model Results:
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## estimate se zval pval ci.lb ci.ub
## -0.0013 0.0078 -0.1704 0.8647 -0.0167 0.0140
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Summary of PV3 studies
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## Random-Effects Model (k = 4; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## 5.8875 -11.7750 -7.7750 -9.5778 4.2250
##
## tau^2 (estimated amount of total heterogeneity): 0 (SE = 0.0008)
## tau (square root of estimated tau^2 value): 0
## I^2 (total heterogeneity / total variability): 0.00%
## H^2 (total variability / sampling variability): 1.00
##
## Test for Heterogeneity:
## Q(df = 3) = 1.0419, p-val = 0.7911
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## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## 0.0109 0.0114 0.9552 0.3395 -0.0115 0.0334
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1