How to tell if a specific cell from my 2x2 (also 2x2x2) contingency table (constructed for computing Chi-Square test of independence) is in favor or against the null hypothesis?
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1Make a table of residuals and look at that. If the table is high-dimensional, I would complementing with a correspondence analysis. Or, if you are looking for a few extreme cells in very large contingency tables, google for "Identifying extreme cells in a sizable contingency table" (without the quotes). – kjetil b halvorsen Feb 08 '17 at 15:44
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@kjetilbhalvorsen Thanks for the quick reply! I found this http://www.biostat.umn.edu/~dipankar/bmtry711.11/lecture_10.pdf (page 7/30) However, it only talks about a "rule of thumb" (page 8/30), in contrast I am looking for some statistical method to infer if the cell is in favor or against the null hypothesis. – Shiv Baishya Feb 09 '17 at 10:42
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I have finally found the answer. Page 2 (Calculating Residuals) of http://pareonline.net/getvn.asp?v=20&n=8 – Shiv Baishya Feb 09 '17 at 11:16
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Make a table of residuals and look at that. If the table is high-dimensional, I would complementing with a correspondence analysis. Or, if you are looking for a few extreme cells in very large contingency tables, google for "Identifying extreme cells in a sizable contingency table" (without the quotes).
For an example of such residuals see Interpreting residuals in chi-squared test

kjetil b halvorsen
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