From data + prior to interval. Find (I_{2 alpha}^{pi}). (a) (2 alpha=0.07). Prior: (a_{0}=3, b_{0}=5). Observed: (k=13)

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From data + prior to interval. Find $I_{2 \alpha}^{\pi}$.

(a) $2 \alpha=0.07$. Prior: $a_{0}=3, b_{0}=5$.

Observed: $k=13$ positives and $l=20$ negatives.

(b) $2 \alpha=0.1$. Prior: $a_{0}=0, b_{0}=0$ (Novick and Hall).

Observed: $k=4$ positives and $l=9$ negatives.

(c) $2 \alpha=0.05$. Prior: $a_{0}=0.5, b_{0}=0.5$ (Jeffreys).

Observed: $k=44$ positives and $l=19$ negatives.

(d) $2 \alpha=0.02$. Prior: $a_{0}=1, b_{0}=1$ (Laplace).

Observed: $k=79$ positives and $l=198$ negatives.

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The Bayesian Way Introductory Statistics For Economists And Engineers

ISBN: 9781119246879

1st Edition

Authors: Svein Olav Nyberg

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Question Posted: Mar 17, 2024 08:00 AM

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From data + prior to interval. Find (I_{2 alpha}^{pi}). (a) (2 alpha=0.07). Prior: (a_{0}=3, b_{0}=5). Observed: (k=13)

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The Bayesian Way Introductory Statistics For Economists And Engineers

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