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COMPARATIVE TABLE
Eric Simmons
Created on June 12, 2023
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Alternative to:
Mann Whitney U Test
Module 9: Parametric and Equivalent Nonparametric Procedures Eric Simmons American College of Education RES 6003: Applied Statistics 6/11/2023
1. ANOVA can be utilized when either parametric or nonparametric. No alternative is necessary(Holt, 2023)
1. Data has normal variance
Options when nonparametric
1. Data is normally distributed, and with normal variance2. All variables are independent
1. Utilize the Spearman's Test
1. Data is expected to be linear and either positive or negative2. Data has normal variance
1. One variable directly influences another; seeking to prove correlation2. Data is normally distributed, and with normal variance
1. Acquire a larger sample, if possible2. Use the Mann-Whitney U Test
1. Both data groups should have normal variances
Description of Test
Assumptions
ANOVA Test
1. Dependent or Indpendent; measures two different groups in same sample, or two similar samples at different times 2. Data is normally distributed, and with normal variance
Dependnent or Independent t Test
Pearson's r Test
Parametric Procedures
Examples/Information
The smaller sample size is less likely to establish an upward or downward trend. Ordinal values would only establish relation through rank
Spearman's Rank Test is similar to Pearson's r Test in that a relationship can be drawn in terms of positive and negative correlation, albeit with less data points
Pearson's r Test
The Mann Whitney U Test can be used in small sample sizes to measure effectiveness in two indepedent variables (medicine and placebo) against dependent variables (population) (Yee Tai et al., 2022)
The Mann Whitney U Test is a nonparametric procedure that tests two independent variables against a dependent variable of a smaller population
Description of Test
Alternative to:
Dependent and Independent t Test
Mann Whitney U Test
Spearman's Rank Test
Nonparametric Procedures
Holt, M. P. . Ms. (2023). Analysis of variance (ANOVA). Salem Press Encyclopedia of Science. Reichard, J. (2023). Correlation lecture: Applied Statistics [Visual Presentation]. https://ace.instructure.com Reichard, J. (2023) Independent t Test lecture: Applied Statistics [Visual Presentation]. https://ace.instructure.com Reichard, J. (2023) Alternate to Pearson's Test: Applied Statistics [Visual Presentation]. https://ace.instructure.comWhitneTai, K., Dhaliwal, J., & Balasubramaniam, V. (2022). Leveraging Mann–Whitney U test on large-scale genetic variation data for analysing malaria genetic markers. Malaria Journal, 21(1), 1–13. https://doi.org/10.11 86/s12936-022-04104-xy U Test
References