Shepherd, "DbEmpLikeGOF: An R package for nonparametric
likelihood ratio tests for goodness-of-fit and two-sample comparisons based on sample entropy," Journal of Statistical Software, vol.
Based on Lemma 6, the
likelihood ratio is as follows:
Table 5 demonstrate the value of the
likelihood ratio statistic after the element is incorporated inside the model.
Again, we can get fancy and place the odds and the
likelihood ratio on a logarithmic scale.
* Once a weight and a likelihood have been determined for each scenario of the observed evidence, the
likelihood ratio is given as the sum of the products of the likelihood and the corresponding prior weight for each scenario in the guilty set divided by the sum of the products of the likelihood and the corresponding prior weight for each scenario in the not guilty set.
Likelihood Ratio Chi-Square value###1890###1802###1839###1663###1721
This lemma shows the importance of the
likelihood ratio or the noise distribution function.
For respected simulation study the processes for both models it can be seen that empirical
likelihood ratio test confirmed that it has some mild size disturbance mainly for the small sample size which likely caused by the limiting distribution of .
Difference between readings using HemoCue[TM] and HCS, and accuracy of HCS at different cutoff levels of haemoglobin (n=501) Parameter Less than or Less than or equal to 12 g/dL equal to 10 g/dL Sensitivity 0.96 (CI 0.93-0.98) 0.74 (CI 0.65-0.81) Specificity 0.22 (CI 0.15-0.3) 0.84 (CI 0.8-0.87) PPV 0.75 (CI 0.71-0.79) 0.56 (CI 0.47-0.64) NPV 0.69 (CI 0.53-0.81) 0.92 (CI 0.89-0.95)
Likelihood ratio (positive) 1.23 4.63
Likelihood ratio (negative) 0.18 0.31 Efficiency 75% 82% Correlation coefficient 0.7 0.75 Parameter Less than or equal to 7 g/dL Sensitivity 0.83 (CI 0.51-0.98) Specificity 0.99 (CI 0.97-0.98) PPV 0.71 (CI 0.43-0.9) NPV 0.99 (CI 0.98-1.0)
Likelihood ratio (positive) 83
Likelihood ratio (negative) 0.17 Efficiency 99% Correlation coefficient 0.87
The score had a sensitivity of 91.9%, a specificity of 79.0%, and a positive
likelihood ratio of 4.39 for diagnosis of appendicitis.
The sensitivity, specificity, PPV, NPV, and
likelihood ratio positive and
likelihood ratio negative of falciparum and vivax arm have been calculated using 2x2 table with Peripheral blood smear as gold standard (Tables 2, 3 and 4).