Re: st: How to obtain Rao-Scott chi(2) (not the F-stat) for two-way svy:tab

[Steven Samuels <sjsamuels@gmail.com>]

Bo MacInnis-

• Rao-Scott corrected chi square = (R-1)(C-1) x (corrected F)  where  
R= no. of Rows  C = no. of Columns (Stata 11 Manual, page 130)
• In your example with R=2, C=2, the statistics are identical.
• SAS reports only the F approximation p-value, just as Stata does.

Steve

Steven J. Samuels
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On Dec 22, 2010, at 1:36 PM, Bo MacInnis wrote:

Dear Statlist mates,

I'd like to obtain the Rao-Scott chi(2) statistic for two-way svy:tab.  
The two-way svy:tab provides the Pearson statistics (uncorrected for  
design-effect as well a design effect adjusted based on Rao-Scott  
(1984). However, the design-based Pearson is converted into a F-stat.  
In my project, I'd need the chi(2) version of the Rao-Scott statistic  
(like what is provided in SAS, but I do not use SAS).

Here is the output from a two-way (2x2) svy:tab:
 Pearson:
   Uncorrected   chi2(1)         =    2.3737
   Design-based  F(1, 2803)      =    1.4764     P = 0.2244

Thank you very much for your help!
Bo
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