| dc.contributor.author | Ndungu, Alfred Mungai | |
| dc.description.abstract | This research study proposes a solution to deal with missing observations which is
a common problem in real world datasets. A nonparametric approach is used because of
its ease of use relative to the parametric approach that beleaguer the user with firm
assumptions. The study assumes data is in an Incomplete Block (IBD) and Completely
Randomized (CRD) Mixed Design. The scope of this research was limited to three, four
and five treatments. Mersenne - Twister (2014) simulations were used to vary the design
and to estimate the test statistic powers.
Two test statistics are proposed if the user expects a non – decreasing order of
differences in treatment means. They are both applicable in the cited mixed design. The
tests combine Alvo and Cabilio (1995) and Jonckheere – Terpstra ((Jonckheere (1954),
Terpstra (1952)) in two ways: standardizing the sum of the standardized statistics and
standardizing the sum of the unstandardized statistics. Results showed that the former is
better.
Three tests are proposed for the umbrella alternative. The first, Mungai’s test, is
only applicable in an IBD. The other two tests combine Mungai’s and Mack – Wolfe
(1981) using the same methods described in the previous paragraph. The same conclusion
holds except when the size of the IBD’s sample was equal to or greater than a quarter that
of the CRD. | en_US |
| dc.publisher | North Dakota State University | en_US |
| dc.rights | NDSU Policy 190.6.2 | |
| dc.title | Nonparametric Tests for the Non-Decreasing and Alternative Hypotheses for the Incomplete Block and Completely Randomized Mixed Design | en_US |
| dc.type | Dissertation | en_US |
| dc.date.accessioned | 2018-01-31T19:07:22Z | |
| dc.date.available | 2018-01-31T19:07:22Z | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | https://hdl.handle.net/10365/27376 | |
| dc.rights.uri | https://www.ndsu.edu/fileadmin/policy/190.pdf | |
| ndsu.degree | Doctor of Philosophy (PhD) | en_US |
| ndsu.college | Science and Mathematics | en_US |
| ndsu.department | Statistics | en_US |
| ndsu.program | Statistics | en_US |
| ndsu.advisor | Magel, Rhonda | |
