An exploratory investigation on the distribution of Miller's jackknife test statistics for small samples
Date of Publication
1992
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Applied Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
The accuracy of obtaining critical points for Miller's Jackknife test for small samples by way of large sample approximation is investigated through small sample Monte Carlo experiment. With the aid of a computer program in Turbo Pascal Language Version 5.5, random values from a uniform distribution are generated. From these random values, 26 sets of 75 Q-statistics coming from equal sample sizes and another 98 sets of 75 Q-statistics coming from unequal sample sizes are computed. Sample sizes range from 5,5 to 30,30. These Q-statistics are tested for normality using Chi-square Goodness-of-fit-test. The results show that the Q-statistics from 26 cases of equal sample sizes are normally distributed while the Q-statistics from the 98 cases of unequal sample sizes were not normally distributed. Thus, obtaining critical points by way of large sample approximation is accurate for Miller's Jackknife test statistics for small and equal sample sizes.
Abstract Format
html
Language
English
Format
Accession Number
TU05716
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
[52] leaves
Keywords
Sampling (Statistics); Distribution (Probability theory); Mathematical statistics
Recommended Citation
Badiola, D. G., & Cruzado, E. C. (1992). An exploratory investigation on the distribution of Miller's jackknife test statistics for small samples. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/15966
