- Adjustments for Kurtosis and Continuity on the Prentice Test
- Project Year:
2023
- REU Student (s):
Lily Gebhart | Occidental College CA
- Student 1 Institution:
Occidental College
- Project Mentor:
John Kolassa
- Project Mentor Area:
Statistics and Biostatistics
- Project Abstract:
Nonparametric statistics is a sub-field of statistics involving minimal assumptions about the distribution of data, making it applicable to the analysis of real-world phenomena. The test of Prentice is a non-parametric statistical test for the two-way analysis of variance using ranks. The null distribution of this test is approximated using the Chi-square distribution. However, the exact null distribution deviates from the Chi-square approximation in certain cases commonly found in applications, motivating adjustments to the distribution. This summer, we presented adjustments to this null distribution, and that of related tests with non-polynomial scoring systems, correcting for continuity, skewness, and kurtosis in the multivariate case.
