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3 votes
0 answers
42 views

How to do a sensitivity analysis for a Bayesian Model? Prior or Posterior?

I'm developing a mathematical (SIR-style) model for cholera transmission in the Bengal Delta which is fit to data using MCMC. The purpose of the model is more explanatory rather than predictive, and I ...
Learning_how_to_model's user avatar
1 vote
2 answers
805 views

(Why) Does positive predictive value depend on sensitivity?

Assume there are two possible categories, coded as $0$ and $1$. Define positive predictive value (PPV) to be the probability that an observation really is in category $1$ when it is predicted as being ...
Dave's user avatar
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0 votes
0 answers
72 views

How to apply Bayes' theorem on a contingency in which the sampled distribution differs drastically from the entire population?

Summary: How can I calculate my probability of being truly positive based on a contingency table that has a completely different distribution than the total population? I was recently confronted with ...
jotheta's user avatar
1 vote
1 answer
63 views

What is the probability of at least one person in a sample of k people being infected?

Given the prevalence, sensitivity and specificity of a single test are known.
r3dapple's user avatar
  • 111
4 votes
1 answer
338 views

Estimating positive and negative predictive value without knowing the prevalence

There is a lot of discussion about the positive predictive value of a test currently. I know that if I know specificity, sensitivity of a test and the prevalence $p$ in the sample, then I can easily ...
LiKao's user avatar
  • 2,671
3 votes
2 answers
663 views

Any formula to assess accuracy of repeated testing?

Accuracy of a diagnostic test can be assessed by sensitivity, specificity, positive and negative predictive values. How are these affected if test is repeated one more time (total 2 times). Is there ...
rnso's user avatar
  • 10.2k
1 vote
0 answers
19 views

Sensitivity of a diagnostic test

Diagnostic tests A1 and A2 are used to detect the presence or absence of a disease. The results of A1 and A2 are a priori independent of the presence or absence of the disease. A1 and A2 have ...
Curiouslilac's user avatar
1 vote
1 answer
32 views

Plot of Probability of Cancer vs Test Sensitivity

I'm looking at the following problem and its solution and am really struggling to understand how they came up with the necessary values. My Questions 1, For part (a) we are asked to plot $y=P(C|+)$...
user11128's user avatar
  • 571
0 votes
0 answers
37 views

estimate probability that sensitivity/specificity greater than threshold value

Is there a Bayesian method to estimate the probability that the sensitivity of a diagnostic test is greater than some value, say 0.70? Rather than estimate sensitivity and a confidence interval (e.g., ...
Eric Green's user avatar
13 votes
9 answers
3k views

Is sensitivity or specificity a function of prevalence?

Standard teaching says that sensitivity and specificity are properties of the test and are independent of prevalence. But isn't this just an assumption? Harrison's principles of internal medicine ...
Polisetty's user avatar
  • 257