Need robust method to calculate statistical difference

[GARYV]

Hello, 

I am new to data analysis and need help with the following.

I have a survey data summary table where i have results from state and area of that state. I am interested in yes response

It looks like following for each question 

                   Participants          Yes               C.I                   No           C.I.  

STATE         7450                    88%          83%-93%          12%     10% -14%

Area             668                       82            80%-84%          18%    16% -20%

How do I calculate statistical difference in above two and decide if its statistically significant?

I can do it by calculating yes and no response number from percentages given and do chi square test but it wont give a robust results.

Really appreciate input and help.

[Reeza]

Chi Square is robust...and your N is large enough to obtain reliable estimates.

If you want to explore non-parametric methods, look at PROC NPAR1WAY.

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@GARYV wrote:

Hello, 

I am new to data analysis and need help with the following.

I have a survey data summary table where i have results from state and area of that state. I am interested in yes response

It looks like following for each question 

                   Participants          Yes               C.I                   No           C.I.  

STATE         7450                    88%          83%-93%          12%     10% -14%

Area             668                       82            80%-84%          18%    16% -20%

How do I calculate statistical difference in above two and decide if its statistically significant?

I can do it by calculating yes and no response number from percentages given and do chi square test but it wont give a robust results.

Really appreciate input and help.

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[GARYV · Accepted solution]

You don't need to perform any statistical calculations. As long as CIs don't overlap, you can conclude that the results are statistically different. In the example in question, the result is statistically significant as CIs don't overlap.That is how governments interpret data. Correct me if I am wrong

[Reeza]

Please do not post the same question multiple times. Note that I've merged these into a single post and moved them to the Statistical Procedures forum as that seems better suited.

[StatDave]

See the SURVEYFREQ procedure in SAS/STAT software.

[GARYV]

HI , Thank you for reply. I only have output table with percentages  and C.I.. I don't have all the raw data set to use SURVEYFREQ procedure.

[Reeza]

All you need is the counts or you could recreate the data in an approximate fashion if you have the 2x2 numbers.

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@GARYV wrote:

HI , Thank you for reply. I only have output table with percentages  and C.I.. I don't have all the raw data set to use SURVEYFREQ procedure.

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