Test Your Understanding of Chi-Square Tests
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Questions and Answers

Which type of test requires interval or ratio scale data?

  • Non-parametric tests
  • Neither type of test
  • Parametric tests (correct)
  • Both types of tests
  • What is the Chi-Square test for goodness of fit used for?

  • To answer questions about the proportions of a popular distribution (correct)
  • To determine whether two variables are independent or associated
  • To compare sample means to population means
  • To test for normality of data
  • What does the Chi-Square test of independence determine?

  • Whether two variables are independent or associated (correct)
  • Whether data is normally distributed
  • Whether sample means are equal to population means
  • Whether two samples are significantly different
  • Study Notes

    Chi-Square Tests: Goodness of Fit and Test of Independence

    • Parametric tests make assumptions about population parameters, while non-parametric tests do not.
    • Parametric tests require interval or ratio scale data, while non-parametric tests can use data at nominal level.
    • Non-parametric tests are not as powerful as parametric tests and can fail to detect differences.
    • The Chi-Square test for goodness of fit (GF) is used to answer questions about the proportions of a popular distribution, such as gender bias in a department.
    • The GF compares the sample proportions to population proportions as specified by the null hypothesis.
    • The observed frequencies are compared to the frequencies predicted by the null hypothesis (expected frequencies).
    • The expected frequencies change according to what the null hypothesis is.
    • The bigger the gap between observed and expected frequencies, the bigger the Chi-Squared score.
    • The Chi-Square test of independence (TI) is used to determine whether two variables are independent or associated.
    • The TI uses data in the form of frequencies in different categories, which is compared to expected frequencies predicted from the null hypothesis.
    • The H0 for the TI states that the two variables being measured are completely independent from each other.
    • The H1 for the TI either states that there is a relationship between the variables or that the proportions are different for each variable.

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    Description

    Test your knowledge of Chi-Square Tests with this informative quiz! Learn about the differences between parametric and non-parametric tests, and discover the uses of the Chi-Square test for goodness of fit and test of independence. The quiz covers important topics such as observed and expected frequencies, null hypotheses, and the power of non-parametric tests. Sharpen your understanding of statistical analysis and enhance your research skills by taking this quiz today!

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