Chi-square test - I do not understand the results :-&

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Discussion Overview

The discussion revolves around the interpretation of chi-square test results, specifically regarding the significance of differences in data samples. Participants explore the application of different statistical tests and their implications for conclusions drawn from the data.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant notes discrepancies in chi-square test results using the same data, questioning where the error lies.
  • Another participant points out that the type of chi-square test applied is not specified, suggesting that different tests may yield varying conclusions.
  • A later reply mentions that one test may apply a Yates correction, which could affect the significance of the results compared to another test that does not apply this correction.
  • Further context is provided about the data being analyzed, which involves differences in opinions related to gender and school achievement, with a specific focus on English language assessments.
  • One participant emphasizes that the tests aimed to demonstrate a difference at a 95% confidence level, indicating that the results were marginally significant and cautioning against concluding that no difference exists.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the chi-square test results, with no consensus reached on the significance of the findings or the implications of the statistical tests used.

Contextual Notes

Participants highlight the importance of specifying the type of chi-square test used and the potential impact of corrections like Yates on the results. There is also mention of the confidence level used in the tests, which may influence interpretations.

markecb
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In one case I get the results as a significant difference in the other with the same dana, the difference is not significant.


Data sample
A B
I 5 8
II 4 28

http://imageshack.com/a/img542/467/o61k.jpg

Same data and got significant difference

http://imageshack.com/a/img200/7366/y1le.jpg

Where I'm wrong? :frown:
 
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The images don't say what kind of chi-square test is being done.

Try using various options for chi-square tests on the page http://graphpad.com/quickcalcs/contingency1/. Different statistical tests on the same data may give different conclusions.
 
The second one says it does not apply a Yates correction. It's results are just barely significant at the 95% level. The first test may apply the correction and the result might become insignificant or it may use a different level than 95%.
 
Thank you, here is little more data; I used chi-square (χ2) test to investigate the statistical significance of differences of opinion about the students offered the choice of extra-curricular activities with regard to gender and school achievement, ie the most recently completed assessment of students in the English language.

Can I (completed by SPSS) results interpreted as: no statistically significant differences based on gender.?

http://imageshack.com/a/img837/3372/0wv6.jpg
 
Last edited by a moderator:
The test tried to prove that there was a difference with 95% confidence. It barely succeeded by Pearson chi-squared and barely failed by the other statistics tests. You should NOT conclude that it proved there was no difference. It was not trying to prove that.
 

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