Week 10 Limit setting

Question 1

what is construction of confidence belts based on

Answer 1

defining horizontal intervals according to a certain confidence level C

Question 2

what is the coverage equation for confidence belts

Answer 2

P( μ ε[μ1, μ2] ) = C

Question 3

what are 3 different types of coverage and their conditions

Answer 3

correct coverage when the coverage equation is satisfied
undercoverage when the coverage equation < C
overcoverage when the coverage equation > C

Question 4

what causes the issue of flip-flopping

Answer 4

mix of vertical and horizontal construction of the confidence intervals

Question 5

what is the Feldman&Cousins method

Answer 5

a limiting method that is strictly restricted to a horizontal construction that does not pre-define whether a central or upper interval is being created

Question 6

what are the 2 caveats of the Feldman & Cousins method

Answer 6

In the case of 0 observed cases a measurement with greater levels of expected background can lead to a lower upper limit
It does not allow the inclusion of nuisance parameters which account for systematic uncertainties