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 (B)</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 (A)</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. (A)</p> Signup and view all the answers

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

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

When should the Wilcoxon Signed-Rank Test be applied?

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

What does the Mann-Whitney U Test primarily assess?

<p>Differences in medians between independent groups. (A)</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. (A)</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. (A)</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. (C)</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 (B)</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 (D)</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 (A)</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 (A)</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 (C)</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 (D)</p> Signup and view all the answers

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

<p>Kruskal-Wallis Test (A)</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 (D)</p> Signup and view all the answers

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

<p>Rho = 1 (C)</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 (A)</p> Signup and view all the answers

Flashcards

Nonparametric Tests

Statistical tests that don't rely on assumptions about the distribution of the data. They are used for data that doesn't fit the requirements of parametric tests.

When to Use Nonparametric Tests?

Used when data does not meet the assumptions for parametric tests, such as a normal distribution.

Parametric Tests

They require assumptions like normal distribution and equal variance (spread). Examples include t-tests and ANOVA.

Advantages of Nonparametric Tests

They are not affected by outliers as much as parametric tests, making them more robust. They can be used with ordinal data and small sample sizes.

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Wilcoxon Signed-Rank Test

A test used for comparing related samples. It looks at the median differences between two measurements taken on the same individuals.

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Mann-Whitney U Test

A test used to compare two independent groups. It determines if there is a significant difference in the medians of two groups.

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Kruskal-Wallis Test

A test used to compare more than two independent groups. It assesses if the medians of these groups are significantly different.

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Spearman's Rank Correlation

A statistical test to measure the strength and direction of the association between two variables when the relationship is non-linear.

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Chi-Square Test

A nonparametric test used to determine if there's a significant association between two categorical variables. It assesses if observed frequencies match expected frequencies.

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Chi-Square Test for Independence

Used to test for independence, determining if there's a relationship between two categorical variables by comparing observed and expected frequencies.

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Chi-Square Test for Goodness of Fit

A nonparametric test used to assess how well observed data matches an expected distribution. It determines if there's a significant deviation from the expected.

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U Statistic

The sum of ranks for the group with the smaller sum of ranks. It's used in the Mann-Whitney U test to assess the significance of differences between groups.

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P-value in Chi-Square Test

In the Chi-Square test, the p-value indicates the probability of observing the observed frequencies if there were no association between the variables.

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Kruskal-Wallis H Statistic

In the Kruskal-Wallis Test, the H statistic represents the overall variation between groups. A higher H value indicates greater variation between groups.

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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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Non-Parametric Tests PDF

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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