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

From   Steven Samuels <>
Subject   Re: st: How to obtain Rao-Scott chi(2) (not the F-stat) for two-way svy:tab
Date   Thu, 23 Dec 2010 10:31:05 -0500

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.


Steven J. Samuels
18 Cantine's Island
Saugerties NY 12477
Voice: 845-246-0774
Fax:    206-202-4783

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:
   Uncorrected   chi2(1)         =    2.3737
   Design-based  F(1, 2803)      =    1.4764     P = 0.2244

Thank you very much for your help!
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