Sample size for Chi-Square test of Independence with G*Power

// Sample size for Chi-Square test of Independence with G*Power //
In the run-up to an empirical study or data collection for the Chi-Square test of Indepdence (sometimes only referred to as only Chi-Square Test), the necessary sample size must be determined, for example using G*Power. The minimum sample size depends on the assumed effect size (Cohen's ω), the alpha level, the statistical power and the degrees of freedom.
Here I show how to determine the recommended minimum sample size for the Chi-Square test of Indepdence with different characteristics of the input parameters mentioned using G*Power.
The degrees of freedom are calculated from the number of rows - 1 multiplied with the number of columns -1.
df = (r-1)*(c-1)
Example: You want to test the possession of a drivers license (yes/no) with the place of living (Urban, suburban and rural county).
df = (2-1)*(3-1) = 1*2 = 2 degrees of freedom.
Download link:
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www.psychologie.hhu.de/arbeit...
Doing a Chi-Square-test:
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R: • Chi Square test of Ind...
SPSS: • Chi Square test of Ind...
Introduction to G*Power:
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🎥 • G*Power: A (short) Beg...
⏰ Timestamps:
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0:00 Introduction
0:10 Selecting the Chi-Square test of Indepdence
0:24 Select type of power analysis
0:33 Input parameter I: Cohen's ω
1:00 Input parameter II: alpha level (alpha error)
1:17 Input parameter III: power (1-beta error)
1:45 Input parameter IV: degrees of freedom
2:11 Calculation and overview
If you have any questions or suggestions regarding Chi-Square test of Indepdence - calculate required sample size with G*Power, please use the comment function. Thumbs up or down to decide if you found the video helpful.
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[@penamargot1697]

Thank you Björn !!

[@statorials]

You're welcome. :-)
Cheers, Björn.

[@ayana6921]

Helpful...Thank you

[@statorials]

Thanks, appreciate the positive feedback!
Best Regards, Björn.

[@chefberrypassionateresearcher]

Sir, how to calculate sample size using g power for doing MGA in smart pls, when i have 1 IV , 1 Moderator, and 1 DV in the pls sem model? I have 3 groups. How many samples do i need to have in each group?

[@statorials]

Sorry, Smart PLS is nothing my discipline is concerned with. I cannot answer that question unfortunately.
Cheers, Björn.

[@BethanWhite-co7xb]

How would you write this up in a report please :)

[@statorials]

Hey, you can write something like this. For the Chi-Square test of Independence an a priori power analysis with ω = .3, α = .05, 95% power and 2 degress of freedom resulted in a minium required sample size of 172.
Cheers, Björn.