Correlation Analysis and Simple Linear Regression Introduction
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Questions and Answers

What does a correlation coefficient (r) of 1 indicate?

  • Perfect negative association
  • Perfect positive association (correct)
  • Moderate positive association
  • No association

    • When is the assumption of normal bivariate distribution rarely met?

  • When there are no outliers
  • When the sample size is large
  • When there is no autocorrelation
  • When the sample size is small (correct)

    • What does the Spearman Rank Correlation measure?

  • Strength of association considering the order (correct)
  • Strength of association without considering the order
  • Strength of linear association
  • Strength of non-linear association

    • In correlation analysis, which factor can influence the correlation coefficient?

    <p>Presence of outliers</p> Signup and view all the answers

    What does a correlation coefficient (r) of 0 indicate?

    <p>No association</p> Signup and view all the answers

    What does the absolute value of the correlation coefficient (|r|) represent?

    <p>The strength of linear association</p> Signup and view all the answers

    What is the formula for the Spearman rank correlation coefficient?

    <p>ρ = 1 - (6Σd²)/(n(n²-1))</p> Signup and view all the answers

    What does the Spearman rank correlation coefficient measure?

    <p>Monotonic relationship</p> Signup and view all the answers

    What is the purpose of the partial correlation coefficient?

    <p>To measure the unique variance between two variables without the influence of a third variable’s variance</p> Signup and view all the answers

    Which hypothesis is tested in the significance test for correlation coefficient?

    <p>Ho: ρ=0 vs Ha: ρ≠ 0 (two-tailed)</p> Signup and view all the answers

    How is the rejection of the null hypothesis determined using a t-test for correlation coefficient?

    <p>|t| &gt; tα/2, n-2</p> Signup and view all the answers

    What does the p-value signify in statistical significance testing?

    <p>The probability of observing a sample statistic as extreme as the test statistic, assuming that the null hypothesis is true</p> Signup and view all the answers

    What does a p-value of 0.03 indicate in statistical significance testing?

    <p>The result is statistically significant at α = 0.05 level</p> Signup and view all the answers

    What is the purpose of a nonparametric Monte Carlo Randomization test?

    <p>To test for relationships between variables without making distributional assumptions</p> Signup and view all the answers

    What do degrees of freedom represent in statistical testing?

    <p>The number of restrictions on variability within a sample</p> Signup and view all the answers

    How are critical values used in statistical testing?

    <p>To determine whether to reject or fail to reject the null hypothesis</p> Signup and view all the answers

    What do you use a t table for in statistical testing?

    <p>To find critical values for hypothesis testing using t-distribution</p> Signup and view all the answers

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