Compare two proportions with a Bayesian analysis

Comments

• andersony3k

  May 2023

  You do it the same way as described here https://forum.cogsci.nl/discussion/8559/comparing-two-proportions-within-contingency-table-for-small-sample-size#latest except that you select Frequencies, Bayesian, Contingency Tables.

  R
• kev_bague

  May 2023

  Thanks @andersony3k, I see. However, I have still some difficulties in which such an analysis allow to target failure-groupA vs success-groupB. For me Chi-squared test or Fisher's exact test compute is the proportion of acceptance is different between A and B. But the P-value or Bayes Factor do not result from the assessment of the direct cross-tabulation comparison (no-A ; yes-B)
• andersony3k

  May 2023 edited May 2023

  RE:  "Chi-squared test or Fisher's exact test compute is the proportion of acceptance is different between A and B." It compares the proportion of acceptance between the Initial_A and the Initial_B if you setup your data file that way . . .

  INITIAL_OBJECT; ACCEPT_AN_EXCHANGE

  A; No

  A; No

  B; Yes

  B; No

  But if you want to test the proportions you're interested in, you setup and code *the same data differently* (as indicated in the other thread), thereby comparing the *proportion of Initial_A who stay with A* to the *proportion of Initial_B who switch to A* . . .

  INITIAL_OBJECT; ULTIMATELY_GO_WITH_OBJECT_A

  A; Yes

  A; Yes

  B; Yes

  B; No

  Thus, the P-value or Bayes Factor do indeed "result from the assessment of the direct cross-tabulation comparison," and the particular cross-tabulation comparison depends on how your code your data.

  R