ExplainwhytheconfidenceintervalbasedontheWaldtestof H0: = 0 is symmetricaround (i.e., havingcenterexactlyequalto . Thisisnottruefortheconfidenceintervalsbasedon the likelihood-ratioandscoretests.)Explainwhysuchsymmetrycanbeproblematicwhen and
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ExplainwhytheconfidenceintervalbasedontheWaldtestof H0: θ = θ0 is symmetricaround
ˆθ (i.e., havingcenterexactlyequalto ˆθ. Thisisnottruefortheconfidenceintervalsbasedon the likelihood-ratioandscoretests.)Explainwhysuchsymmetrycanbeproblematicwhen θ
and ˆθ are nearaboundary,usingtheexampleofapopulationproportionthatisverycloseto 0 or1andasampleproportionthatmaywellequal0or1.
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Foundations Of Statistics For Data Scientists With R And Python
ISBN: 9780367748456
1st Edition
Authors: Alan Agresti
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