Transformations and Assumptions in Statistics
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Questions and Answers

Which of the following is NOT a common transformation used to deal with violations of assumptions in statistical analysis?

  • Reciprocal
  • Absolute value (correct)
  • Square root
  • Log 10
  • What test is used to test the homogeneity of variance assumption in statistical analysis?

  • Levene’s test (correct)
  • ANOVA
  • Chi-square test
  • t-test
  • What is a general limitation of transformations in statistical analysis?

  • They require complex mathematical calculations
  • They can't cope with zeroes or negative numbers
  • They can only be applied to balanced samples
  • They are unpredictable (correct)
  • What is the main purpose of using transformations in statistical analysis?

    <p>To make the data follow a normal distribution</p> Signup and view all the answers

    What is a limitation of using transformations in statistical analysis?

    <p>They can't be applied to variables with too much variation</p> Signup and view all the answers

    Which statistical test is commonly used to measure the strength and direction of the linear relationship between two continuous/scale variables?

    <p>Pearson's correlation</p> Signup and view all the answers

    Which aspect of a relationship does Pearson's correlation measure?

    <p>Both size/magnitude and direction</p> Signup and view all the answers

    What type of variables can Pearson's correlation be used to measure the relationship between?

    <p>Continuous/scale variables only</p> Signup and view all the answers

    What does statistical significance assess in the context of Pearson's correlation?

    <p>Whether the relationship is due to chance</p> Signup and view all the answers

    What research question can Pearson's correlation help answer?

    <p>What is the nature of the relationship between years of schooling and job prestige?</p> Signup and view all the answers

    Study Notes

    Transformations in Statistical Analysis

    • Common transformations:
      • Log transformation
      • Square root transformation
      • Reciprocal transformation
      • Box-Cox transformation
    • Levene's test: Used to test the homogeneity of variance assumption
    • General limitation of transformations: Can sometimes distort the original data and make it difficult to interpret the results

    Purpose of Transformations

    • To meet the assumptions of statistical tests
    • To improve the normality of the data
    • To stabilize the variance of the data

    Limitation of Transformations

    • Can make the data more difficult to interpret

    Pearson's Correlation

    • Test: Used to measure the strength and direction of linear relationship between two continuous/scale variables
    • Measures: The strength and direction of a linear relationship
    • Variables: Can be used with continuous/scale variables
    • Significance: Assesses the probability that the observed relationship is due to chance
    • Research question: Can help answer whether there is a relationship between two variables and if so, how strong and in what direction it is.

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    Description

    Test your knowledge on transformations and assumptions in statistics with this quiz. Learn about common transformations such as logarithm, square root, and reciprocal, and how they can help deal with violations of assumptions. Explore graphs and normality tests to see if any transformations worked. Also, discover the importance of homogeneity of variance assumption and how it can be tested using Levene's test.

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