Non-Parametric Tests Overview
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Questions and Answers

Which statistical test is suitable for analyzing the difference in patient satisfaction scores across three pharmacy branches?

  • Mann-Whitney U Test
  • Wilcoxon Signed-Rank Test
  • Kruskal-Wallis Test (correct)
  • Spearman’s Rank Correlation
  • What is indicated if the p-value from a Wilcoxon Signed-Rank Test is less than 0.05?

  • There is no difference in satisfaction scores across the branches.
  • The data distribution is normal.
  • The new service has no significant impact on adherence rates.
  • There is a significant impact of the new service on patient satisfaction. (correct)
  • In a study comparing medication adherence between patients under 50 and those 50+, which test is most appropriate if data is not normally distributed?

  • Kruskal-Wallis Test
  • t-test (independent samples)
  • Wilcoxon Signed-Rank Test
  • Mann-Whitney U Test (correct)
  • Which statistical method assesses the strength and direction of the relationship between pharmacist consultations and medication adherence levels?

    <p>Spearman’s Rank Correlation</p> Signup and view all the answers

    Which test should be used when comparing two independent groups where data may not be normally distributed or is ordinal?

    <p>Mann-Whitney U Test</p> Signup and view all the answers

    Why are nonparametric tests considered more flexible than parametric tests?

    <p>They do not assume a specific data distribution.</p> Signup and view all the answers

    Which of the following is NOT a characteristic of nonparametric tests?

    <p>Require equal variances among groups.</p> Signup and view all the answers

    When should the Wilcoxon Signed-Rank Test be applied?

    <p>When comparing paired or related samples.</p> Signup and view all the answers

    What does the Mann-Whitney U Test primarily assess?

    <p>Differences in medians between independent groups.</p> Signup and view all the answers

    Which of the following scenarios is most appropriate for using the Kruskal-Wallis Test?

    <p>Analyzing patient satisfaction across three different clinics.</p> Signup and view all the answers

    What is a major advantage of using nonparametric tests over parametric tests?

    <p>They can accommodate data with outliers.</p> Signup and view all the answers

    What is the purpose of Spearman’s Rank Correlation?

    <p>To evaluate the strength of association between two ranked variables.</p> Signup and view all the answers

    What is the primary purpose of the Mann-Whitney U Test?

    <p>To compare two independent groups to determine distribution differences</p> Signup and view all the answers

    How do you interpret the p-value in the context of the Kruskal-Wallis Test?

    <p>If p-value &lt; 0.05, at least one group differs significantly</p> Signup and view all the answers

    What does a Spearman’s Rho value close to 0 signify?

    <p>No correlation between the two variables</p> Signup and view all the answers

    Which formula is used to compute Spearman’s rho?

    <p>Rank correlation based on the ranks of two variables</p> Signup and view all the answers

    What is the significance of the Chi-Square Test in analyzing patient satisfaction?

    <p>To determine if observed data matches an expected categorical distribution</p> Signup and view all the answers

    When might results from the Chi-Square Test be inconclusive?

    <p>If p-value is exactly 0.05</p> Signup and view all the answers

    Which statistical test must be used to assess more than two independent groups?

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

    What is the first step in conducting the Mann-Whitney U Test?

    <p>Rank all data points across both groups together</p> Signup and view all the answers

    Which of the following indicates a strong positive correlation in Spearman's Rank Correlation?

    <p>Rho = 1</p> Signup and view all the answers

    What is the key outcome to check after performing a Chi-Square Test?

    <p>The p-value to determine statistical significance</p> Signup and view all the answers

    Study Notes

    Non-Parametric Tests Overview

    • Non-parametric tests are statistical tests that do not assume a specific distribution for the data.
    • They are used when data do not meet the assumptions required for parametric tests, such as a normal distribution.
    • Examples include comparing patient satisfaction scores or analyzing treatment effects where data are not normally distributed.

    Learning Objectives

    • Understand fundamental principles and applications of non-parametric tests.
    • Identify when to use non-parametric tests versus parametric tests.
    • Apply basic tests like Wilcoxon Signed-Rank, Mann-Whitney U, Kruskal-Wallis, and Spearman's Rank Correlation.
    • Interpret results in real-world pharmacy research.
    • Develop clear and structured reporting of non-parametric test outcomes.

    Parametric vs. Non-Parametric Tests

    • Parametric tests require assumptions such as normal distribution and homogeneity of variance (e.g., t-test, ANOVA).
    • Non-parametric tests do not require these assumptions and can be used with ordinal data or small sample sizes.

    Advantages of Non-parametric Tests

    • Flexibility: Suitable for non-normal data and ordinal data.
    • Robustness: Less affected by outliers compared to parametric tests.
    • Ease of Use: Often simpler to apply and interpret.

    Common Non-parametric Tests

    • Wilcoxon Signed-Rank Test: For paired or related samples. Example: Comparing blood pressure readings before and after treatment.
    • Mann-Whitney U Test: For comparing two independent groups. Example: Comparing test scores between two groups of pharmacy students.
    • Kruskal-Wallis Test: For comparing more than two independent groups. Example: Comparing satisfaction scores of patients across three different pharmacies.
    • Chi-square test: Used to test relationships between categorical variables. Example: Assessing if patient satisfaction is associated with the type of service received (e.g., in-person or online).
    • Spearman's Rank Correlation: Measures the strength and direction of association between two variables. Example: Relationship between patient age and adherence to medication.

    Real-Life Applications in Pharmacy

    • Wilcoxon Signed-Rank Test: Assess whether a new service (e.g., medication counseling program) improved patient satisfaction.
    • Mann-Whitney U Test: Analyze whether adherence rates to a chronic medication differ between age groups.
    • Kruskal-Wallis Test: Investigate whether patient satisfaction scores differ across three pharmacy branches.
    • Spearman's Rank Correlation: Determine the relationship between the number of pharmacist consultations and medication adherence.

    Summary Table (Parametric vs Non-Parametric Tests)

    Purpose Parametric Test Non-Parametric Test Comments
    Comparing two independent groups t-test (independent samples) Mann-Whitney U Test Use Mann-Whitney U when data is not normally distributed or for ordinal data.
    Comparing two related/paired samples Paired t-test Wilcoxon Signed-Rank Test Wilcoxon is suitable for paired observations with non-normal data.
    Comparing more than two independent groups One-way ANOVA Kruskal-Wallis Test Use Kruskal-Wallis when data is not normally distributed across groups.
    Measuring the association between two variables Pearson's Correlation Spearman's Rank Correlation Spearman's is used for ordinal data or non-linear relationships.

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    Description

    This quiz provides an overview of non-parametric tests, highlighting their principles and applications in data analysis. You'll learn when to choose non-parametric over parametric tests and how to apply various specific tests such as Wilcoxon and Mann-Whitney. Gain the skills necessary to interpret and report the results in real-world research contexts, particularly in pharmacy.

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