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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What is the Bayes Factor for the association between gender and position type?
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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
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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