Analyzing Data: Is There a Significant Difference Between Two Screening Tools?

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SUMMARY

The discussion centers on analyzing the effectiveness of two screening tools for a disorder, where Tool A referred 34 children and Tool B referred 16 children out of a total of 51 tested. The primary statistical method suggested for analysis is the paired t-test; however, due to the binary nature of the results (pass or fail), participants recommend using McNemar's test as a more appropriate method. The two-proportion z-test was also mentioned, but concerns about correlation between samples led to the preference for nonparametric methods. Users shared resources, including a YouTube tutorial for conducting McNemar's test in SPSS.

PREREQUISITES
  • Understanding of paired t-tests and their limitations
  • Familiarity with McNemar's test for binary data analysis
  • Basic knowledge of SPSS for statistical analysis
  • Awareness of two-proportion z-tests and their application
NEXT STEPS
  • Learn how to perform McNemar's test in SPSS
  • Research the implications of using paired t-tests with non-numerical data
  • Explore the use of two-proportion z-tests in correlated samples
  • Review statistical macros available for Minitab to conduct McNemar's test
USEFUL FOR

Statisticians, researchers in psychology or education, and anyone involved in analyzing screening tools for disorders will benefit from this discussion.

mermaidrunner
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I gathered some data on kids who were screened for a disorder using two screening tools. Each child was screened using both tools. I wanted to see if one tool referred more kids for further testing than the other. I need to determine if there is a significant difference between the number of referrals of the two tools. Tool A referred 34 kids and tool B referred 16 kids. Best way to analyze in SPSS?
 
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If I get you right, for each kid you have two samples, one for each tool. Both numbers are continuous and you want to compare the tools ? If so, paired t test
 
Yankel said:
If I get you right, for each kid you have two samples, one for each tool. Both numbers are continuous and you want to compare the tools ? If so, paired t test

Yes, that is correct. Each kid has a result from each tool. There were 51 total kids tested. My main concern is that these screening tools aren't scored on a numerical scale. It is strictly pass or fail - is that going to have an impact on using the paired t test? Should I be looking at something more nonparametrical?
 
mermaidrunner said:
Yes, that is correct. Each kid has a result from each tool. There were 51 total kids tested. My main concern is that these screening tools aren't scored on a numerical scale. It is strictly pass or fail - is that going to have an impact on using the paired t test? Should I be looking at something more nonparametrical?

Hi mermaidrunner. Welcome to MHB!

That sounds like a two-proportion z-test, pooled for $H_0\colon p_1=p_2$.

See for instance this wiki page.
 
Oh, it ain't numerical...you still have this problem that you get pairs, 2 samples for each kid, meaning you have correlation between these samples.

What about the McNemar's test ?
 
I like Serena said:
Hi mermaidrunner. Welcome to MHB!

That sounds like a two-proportion z-test, pooled for $H_0\colon p_1=p_2$.

See for instance this wiki page.

I had some trouble setting up Mcnemars in spss.. it wasn't looking right . Any suggestions?

I actually went ahead and ran the 2 proportion z-test (in Minitab). Is that going to be effective? Just trying to cover all my bases before submitting.
 
I think that the two proportion Z test is not suitable here, you have correlation within kids.

Here is a youtube clips showing how to do McNemar's test on SPSS.

McNemar Test - SPSS (part 1) - YouTube

Minitab doesn't support it, but you can download a macro from their website which does it.
 
Can anyone spare a few minutes (with SPSS) and look over some analyses I ran related to this? Sorry, I'm out of the stats loop and need these for a project...
 

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