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Table 2 Maximum likelihood estimates with associated 95% CIs (within brackets) for M1 and M2, fitted to PfAMA1 and PfMSP\(1_{19}\) antibody data. The Akaike Information Criterion (AIC) is also reported for the mixture models

From: A threshold-free approach with age-dependency for estimating malaria seroprevalence

  

Parameter

M1

M2

PfAMA1

Mixture model

\(\beta _{0}\)

− 2.338 (− 2.428, − 2.249)

− 3.164 (− 3.217, − 3.111)

\(\beta _{1}\)

 

0.052 (0.045, 0.058)

\(\beta _{2}\)

 

− 0.037 (− 0.052, − 0.023)

\({\tilde{\beta }}_{0}\)

− 0.565 (− 0.671, − 0.460)

− 2.085 (− 2.281, − 1.890)

\({\tilde{\beta }}_{1}\)

 

0.401 (0.371, 0.432)

\(\delta\)

11.706 (10.778, 12.722)

30.613 (26.224, 35.764)

\(\sigma _{S^-}^2\)

0.014 (0.011, 0.019)

\(1.665\cdot 10^{-3}\) (\(1.383\cdot 10^{-3}\), \(2.003 \cdot 10^{-3}\))

\(\sigma _{S^+}^2\)

0.884 (0.716, 1.092)

43.521 (25.898, 73.138)

AIC

33354.100

29669.940

RCM

\(\lambda\)

0.022 (0.020, 0.023)

0.175 (0.109, 0.286)

PfMSP\(1_{19}\)

Mixture model

\(\beta _{0}\)

− 2.165 (− 2.2656, − 2.064)

− 2.915 (− 2.989, − 2.841)

\(\beta _{1}\)

 

0.031 (0.028, 0.034)

\({\tilde{\beta }}_{0}\)

− 1.220 (− 1.429, − 1.010)

0.081 (− 0.114, 0.277)

\({\tilde{\beta }}_{1}\)

 

0.038 (0.022, 0.054)

\(\delta\)

9.256 (8.624, 9.941)

11.698 (10.385, 13.193)

\(\sigma _{S^-}^2\)

0.021 (0.015, 0.028)

\(2.770\cdot 10^{-3}\) (\(2.081\cdot 10^{-3}\), \(3.687 \cdot 10^{-3}\))

\(\sigma _{S^+}^2\)

0.994 (0.735, 1.346)

5.340 (3.387, 8.420)

31162.920

AIC

31886.310

 

RCM

\(\lambda\)

0.060 (0.055, 0.066)

1.459 (0.760, 2.675)