DNP-BIO 7-2
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BIO 7-ASSIGNMENT2.docx AUTHOR
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Nov 18, 2025 5:33 PM EST REPORT DATE
Nov 18, 2025 5:34 PM EST
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Summary
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Student’s name: Maria Henriquez Cueto
Instructor: Lourdes Valverde
Institution: Ana G. Mendez University
Course: Biostatistics
Date: November 18, 2025
Parametric vs. Nonparametric Decision
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The Analysis and Justification
In the present case, we intend to compare two independent groups (WBC Group 0, WBC
Group 1) on a continuous outcome. In normal conditions, the standard parametric test of means
is the independent samples t-test (Vrbin, 2022).
Shapiro-Wilk test results
Group 0: W = 0.394, p < .001
Group 1: W = 0.800, p < .001
The two groups are found to be significantly different with large p-values, and this
implies a great violation of normality. Moreover, the standard deviations do not coincide
significantly (SD = 9.384 vs. 4.405), which is an indication of heterogeneity of variance.
Together with the visual cue, indicating that the data most likely look skewed or not normally
distributed, these diagnostics demonstrate that the conditions to assume a parametric t-test are
not fulfilled.
The Mann-Whitney U test is the best for this case. The reason why the Mann-Whitney U
test was the right and appropriate test of this analysis is that the dependent variable is non-
normally distributed, and group variances are not equal. This nonparametric test is not based on
the assumption of normality and compares distributions according to the rank, which gives it a
greater strength of analysis in cases where data breaks other parametric assumptions (Chicco et
al., 2025).
Mann-Whitney U test results
U = 2339.000, p = 0.750
The p-value shows that therno significant difference was found in the two groups.
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Importance of p-value important in This Context.
The p-value is used to indicate whether the differences between the groups were as a
result of chance or not. The nonparametric result presented as well as the parametric result
indicate that the p-value is about 0.75 which is substantially greater than the conventional a =.05
threshold.
This means:
No evidence to disprove the null hypothesis.
The outcome on which WBC Group 0 and Group 1 do not differ
significantly.
Notably, a p-value that is nonsignificant is not a sign that the groups are the same; it only
shows substandard evidence of difference within the sample. Also, a t-test would not be reliable
in terms of p-value, which would further justify the necessity to use the p-value of the Mann-
Whitney U test instead, due to a breach of the normality assumption (Midway & White, 2025).
In nonparametric tests, the p-value is calculated with an identical inferential purpose,
except that the difference between means is not used, rather a rank-based calculation is
performed. In this respect, the statistical conclusion is the most optimal based on the Mann-
Whitney U p-value (Midway & White, 2025).
Conclusion
The appropriate test of analysis is the Mann-Whitney U test since the two independent
groups have been capitulated in regard to normality and unequal variance. The test result of the
statistically significant difference between WBC Group 0 and Group 1 is not significant (p
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=.750). The p-value plays a significant role in any interpretation that is carried out to establish
whether the difference that is realized is significant or it could have occurred as a chance. The p-
value in this study is high and there are adequate reasons to conclude that there is no sufficient
evidence to declare that a real difference exists between groups.
References
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Chicco, D., Sichenze, A., & Jurman, G. (2025). A simple guide to the use of Student’s t-test,
Mann-Whitney U test, Chi-squared test, and Kruskal-Wallis test in biostatistics. BioData
Mining, 18(1). https://doi.org/10.1186/s13040-025-00465-6
Midway, S., & White, J. W. (2025). Testing for normality in regression models: mistakes abound
(but may not matter). Royal Society Open Science, 12(4).
https://doi.org/10.1098/rsos.241904
Vrbin, C. M. (2022). Parametric or Nonparametric Statistical Tests: Considerations when
Choosing the Most Appropriate Option for your Data. Cytopathology, 33(6), 663–667.
https://doi.org/10.1111/cyt.13174
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Similarity Report
26% Overall Similarity Top sources found in the following databases:
19% Internet database 11% Publications database
Crossref database Crossref Posted Content database
25% Submitted Works database
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1 American College of Education on 2025-09-07 8% Submitted works
2 mro.massey.ac.nz 5% Internet
3 biodatamining.biomedcentral.com 3% Internet
4 Kean, Yin. "Bridging the Gap: Examining Behavioral Determinants in AI ... 3% Publication
5 University of Chichester on 2025-03-21 3% Submitted works
6 Ana G. Méndez University on 2025-11-17 2% Submitted works
7 University of Northumbria at Newcastle on 2025-11-11 1% Submitted works
8 BB9.1 PROD on 2025-10-09 1% Submitted works
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