Tests for Equality of Variances and Normality in Statistics
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Questions and Answers

Which of the following is a disadvantage of using Real Strength with skewed distributions?

  • It is more likely to commit a type II error (correct)
  • It is not suitable for small sample sizes
  • It cannot be used with complex research designs
  • It is more likely to commit a type I error

    • What is the purpose of the Paired Samples t-Test?

  • To determine if the mean difference between two paired groups is significantly different from zero (correct)
  • To test the relationship between a continuous and a categorical variable
  • To compare the means of two independent groups
  • To analyze the variance between more than two groups

    • Which of the following is not an assumption of the Paired Samples t-Test?

  • The variances of the two groups should be equal (correct)
  • The difference of the observations of the paired groups should be normally distributed
  • The dependent variable should be continuous
  • The two groups should be dependent or paired

    • What is the null hypothesis for the Paired Samples t-Test?

    <p>There is no significant difference between group 1 and group 2</p> Signup and view all the answers

    Which statistical test is an extension of the independent t-test?

    <p>One-way ANOVA</p> Signup and view all the answers

    Which of the following is a requirement for using the Paired Samples t-Test?

    <p>The two groups should be dependent or paired</p> Signup and view all the answers

    What is the purpose of a nonparametric test like Real Strength?

    <p>To test the performance of a statistical model with skewed distributions</p> Signup and view all the answers

    Which of the following is a correct statement about the Paired Samples t-Test?

    <p>It is used to determine if the mean difference between two paired groups is significantly different from zero</p> Signup and view all the answers

    What is the alternative hypothesis for the Paired Samples t-Test?

    <p>There is a significant difference between group 1 and group 2</p> Signup and view all the answers

    Which of the following is a characteristic of a nonparametric test like Real Strength?

    <p>It is more robust to violations of assumptions, such as non-normal distributions</p> Signup and view all the answers

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