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COMPARATIVE TABLE
Eric Simmons
Created on June 12, 2023
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Transcript
Alternative to:
Module 9: Parametric and Equivalent Nonparametric Procedures Eric Simmons American College of Education RES 6003: Applied Statistics 6/11/2023
Mann Whitney U Test
Parametric Procedures
Options when nonparametric
Description of Test
Assumptions
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
1. Acquire a larger sample, if possible2. Use the Mann-Whitney U Test
Dependnent or Independent t Test
1. Both data groups should have normal variances
1. One variable directly influences another; seeking to prove correlation2. Data is normally distributed, and with normal variance
1. Data is expected to be linear and either positive or negative2. Data has normal variance
1. Utilize the Spearman's Test
Pearson's r Test
1. ANOVA can be utilized when either parametric or nonparametric. No alternative is necessary(Holt, 2023)
1. Data is normally distributed, and with normal variance2. All variables are independent
1. Data has normal variance
ANOVA Test
Nonparametric Procedures
Examples/Information
Description of Test
Alternative to:
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
Dependent and Independent t Test
Mann Whitney U Test
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
Spearman's Rank Test
Pearson's r Test
References
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