# Meta4diag

#### Meta4diag: Bayesian Bivariate Meta-analysis of Diagnostic Test Studies

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#### Welcome to meta4diag world!

In this world, we focus on the meta-analysis of I diagnostic test studies. Each study is usually reported in a 2×2 table assuming a perfect reference test,

True Positive(TP) | False Positive(FP)
False Negative(FN) | True Negative(TN)

Full Bayesian inference using integrated nested Laplace approximations (INLA) is performed on a hierarchical model with 3 levels, for example, the model for analysing sensitivity and specificity jointly with a logit link function is

1. Level

2. Level

where
here i = 1, ..., I is the study index.
3. Level: Priors for σφ2, σψ2 and ρ.

#### SROC Lines:

Type 1 - The Regression Line 1
Type 2 - The Major Axis Method
Type 3 - The Moses and Littenberg's Regression Line
Type 4 - The Regression Line 2
Type 5 - The Rutter and Gatsonis's SROC curve
where y is the g(sensitivity), x is the g(1-specificity) and g is the link function.

Arends et al.(2008) "Bivariate random effects meta-analysis of ROC curves." Medical Decision Making, 28(5), 621-638.

#### Tutorial:

Step 1: Upload your data or choose one example dataset.

Step 2: Choose the priors you want or use the default priors.

Step 3: Press RunINLA button to run the model.

Step 4: Check result.

Note: Please press the RunINLA button to update results if any settings changed in Prior Control Panel or Model Control Panel.

#### First Variance PC Prior Plot:

Parameter Control
μ: |
α: |
xlim: |

#### First Variance Inverse-Gamma Prior Plot:

Parameter Control
α: |
β: |
xlim: |

#### First Variance Half-Cauchy Prior Plot:

Parameter Control
α: |
xlim: |

#### First Variance Truncated-Normal Prior Plot:

Parameter Control
μ: |
τ2: |
xlim: |

#### First Variance Uniform Prior Plot:

Parameter Control
xlim: |

#### Second Variance PC Prior Plot:

Parameter Control
μ: |
α: |
xlim: |

#### Second Variance Inverse-Gamma Prior Plot:

Parameter Control
α: |
β: |
xlim: |

#### Second Variance Half-Cauchy Prior Plot:

Parameter Control
α: |
xlim: |

#### Second Variance Truncated-Normal Prior Plot:

Parameter Control
μ: |
τ2: |
xlim: |

#### Second Variance Uniform Prior Plot:

Parameter Control
xlim: |

#### Correlation PC Prior Strategy 1 Plot:

Parameter Control
ρ0: |  | u1: |
ω: |  | α1: |

#### Correlation PC Prior Strategy 2 Plot:

Parameter Control
ρ0: |  | u2: |
ω: |  | α2: |

#### Correlation PC Prior Strategy 3 Plot:

Parameter Control
ρ0: |  |  |
u1: |  | α1: |
u2: |  | α2: |

#### Correlation Normal Prior Plot:

Parameter Control
μ: |
σ2: |

#### Correlation Beta Prior Plot:

Parameter Control
a: |
b: |

#### Correlation Uniform Prior Plot:

Meta4diag is an R-INLA project. © 2016 INLA group.