What is the Bayes Factor for the association between gender and position type?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:What is the Bayes Factor for the association between gender and position type?
Answer:
![Bayesian Linear Regression
Model Comparison
Models
P(M)
P(M|data)
BFM
BF10
R
Null model
0.500
0.897
8.745
1.000
0.00
StoreSales
0.500
0.103
0.114
0.114
7,97e-4
[3] (6) (7)
Bayesian Linear Regression
Model Comparison
Models
P(M)
P(M|data)
BFM
BF10
R
Null model
0.500
0.00496
0.00498
1.00
0.00000
PostypeNum
0.500
0.99504
200,69176
200.69
0.00761
(3) (0) (7)
Posterior Summary
Posterior Summaries of Coefficients
95% Credible Interval
Coefficient
Mean
P(inclidata) BFinclusion
SD
P(incl)
Lower
Upper
Intercept
0.2477
0.00917
1.000
1.000
1.00
0.2297
0.266
PosTypeNum
0.0749
0.01831
0.500
0.995
200.69
0.0390
0.111](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf3eed26-39d7-4ca5-8429-d7ea4f37886d%2F2e805ffd-cbc2-471c-892c-2079fc91122d%2Fa27e2fa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Bayesian Linear Regression
Model Comparison
Models
P(M)
P(M|data)
BFM
BF10
R
Null model
0.500
0.897
8.745
1.000
0.00
StoreSales
0.500
0.103
0.114
0.114
7,97e-4
[3] (6) (7)
Bayesian Linear Regression
Model Comparison
Models
P(M)
P(M|data)
BFM
BF10
R
Null model
0.500
0.00496
0.00498
1.00
0.00000
PostypeNum
0.500
0.99504
200,69176
200.69
0.00761
(3) (0) (7)
Posterior Summary
Posterior Summaries of Coefficients
95% Credible Interval
Coefficient
Mean
P(inclidata) BFinclusion
SD
P(incl)
Lower
Upper
Intercept
0.2477
0.00917
1.000
1.000
1.00
0.2297
0.266
PosTypeNum
0.0749
0.01831
0.500
0.995
200.69
0.0390
0.111
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