Statistical Tests and Distributions Overview
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What is the purpose of goodness-of-fit tests?

  • To calculate the cumulative distribution function
  • To check whether the data distribution follows a certain type of distribution (correct)
  • To determine the sample size for a study
  • To perform a chi-square test

    • What is the null hypothesis (H0) for a goodness-of-fit test?

  • The data are from a normal distribution
  • The data follow the specified distribution (correct)
  • The data do not follow the specified distribution
  • The data are different from the specified distribution

    • Which of the following is a goodness-of-fit test for normal distributions?

  • Kolmogorov-Smirnov test
  • Anderson-Darling test
  • Shapiro-Wilk test
  • All of the above (correct)

    • Which of the following is a non-parametric goodness-of-fit test?

    <p>Chi-square goodness-of-fit test</p> Signup and view all the answers

    What is the alternative hypothesis (H1) for a goodness-of-fit test?

    <p>The data are different from the specified distribution</p> Signup and view all the answers

    Which of the following goodness-of-fit tests can be used to check if the data are from a logistic distribution?

    <p>Chi-square goodness-of-fit test</p> Signup and view all the answers

    What type of statistical analysis is used to compare means or proportions between groups?

    <p>Comparing means and proportions</p> Signup and view all the answers

    Which statistical test is used to measure the strength of a linear relationship between two variables?

    <p>Correlation analysis</p> Signup and view all the answers

    What is the purpose of a goodness-of-fit (G-O-F) test?

    <p>To confirm the distributional assumptions of the statistical test</p> Signup and view all the answers

    What is the difference between parametric and non-parametric statistical tests?

    <p>Parametric tests are based on specific distributional assumptions, while non-parametric tests are not.</p> Signup and view all the answers

    What is the null hypothesis in a statistical test?

    <p>The hypothesis that there is no difference or relationship between the variables</p> Signup and view all the answers

    What is the purpose of a p-value in a statistical test?

    <p>To quantify the likelihood of observing the sample data if the null hypothesis is true</p> Signup and view all the answers

    Which test is used to compare the means of two groups based on a single variable?

    <p>Wilcoxon rank-sum test</p> Signup and view all the answers

    What is the specific condition for using ANOVA when dealing with a single variable?

    <p>Only two groups involved</p> Signup and view all the answers

    Which statistic is used to assess the correlation between two variables that are expressed as r, rho, tau, or v?

    <p>Kendall's tau</p> Signup and view all the answers

    In regression analysis with more than one variable and more than one outcome, which type of regression is used?

    <p>MANOVA</p> Signup and view all the answers

    Which test is suitable for comparing means between more than two groups involving more than one variable?

    <p>Kruskal-Wallis</p> Signup and view all the answers

    What does an r value close to -1 indicate in correlation analysis?

    <p>Strong negative correlation</p> Signup and view all the answers

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