Bayesian Statistical Methods 1st Edition By Brian J. Reich; Sujit K. Ghosh 9781032093185 ALL Chapters .

Solutions Manual For Bayesian Statistical Methods 1st Edition
By Brian J. Reich; Sujit K. Ghosh 9781032093185 ALL Chapters .

what is the wrong question frequentist approach asks? - ANSWER: -provides answers to what is often
the wrong question P(data | H0)
-really want P(HA | data)

sensitivity - ANSWER: P(T+|D+)

PPV - ANSWER: P(D+|T+)

diagnostic test -> research study
absence of disease - ANSWER: truth of null hypothesis

diagnostic test -> research study
presence of disease - ANSWER: truth of alternative hypothesis

diagnostic test -> research study
positive result (test outside normals) - ANSWER: positive result (reject null)

diagnostic test -> research study
negative result (within normals) - ANSWER: negative result (fail to reject null)

diagnostic test -> research study
sensitivity - ANSWER: power

diagnostic test -> research study
FP (1 - specificity) - ANSWER: significance level (alpha)

diagnostic test -> research study
prior Pr(disease) - ANSWER: prior Pr(hypothesis)

diagnostic test -> research study
predictive value of a +ve test - ANSWER: predictive value of a +ve study

what does the Pr(positive finding) depend on? - ANSWER: -prior probability
-statistical power
-significance level
-bias (if present)

R - ANSWER: odds of a true relationship

Pr(R) = R / (R+1) - ANSWER: standard formula converting odds to probability
= odds of a true relationship / (odds of a true relationship + 1)

Pr (not R) = - ANSWER: 1 / (R + 1)

c - ANSWER: # of relathionships

The smaller the studies conducted in a scientific field, the less likely the research findings are to be
true - ANSWER: -since decreased power (1-B) means PPV gets smaller so findings are:
--less likely to be true in small studies
--more likely to be true in large RCTs