A Comparative Study of the Means of Multivariate Normal Distributions
This work is a comparative study of the means of two multivariate normal distributions. Since this distribution is analogous to the univariate distribution, this latter distribution has been included in the real work. The method considered is that of testing of hypothesis concerning the population m...
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| Format: | Thesis |
| Language: | English |
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Obafemi Awolowo University
2014
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| Online Access: | http://localhost:8080/xmlui/handle/123456789/3505 |
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| author | Gordor, Benony Kwaku |
| author2 | Chattopadhyay, A. K. |
| author_facet | Chattopadhyay, A. K. Gordor, Benony Kwaku |
| author_sort | Gordor, Benony Kwaku |
| collection | DSpace |
| description | This work is a comparative study of the means of two multivariate normal distributions. Since this distribution is analogous to the univariate distribution, this latter distribution has been included in the real work. The method considered is that of testing of hypothesis concerning the population means and finding confidence intervals for these parameters on the basis of two independent samples from two populations with these distributions.
The univariate normal distribution is specified by two parameters - the mean, x and the variance a2. Likewise its multivariate analogues specified by two vector-valued parameters - the mean and the variance-covariance matrix E. Hence the problem of comparing the means of two (multivariate or univariate) normal distributions has been discussed under different conditions of the variance-covariance matrices (and variances in the case of univariate) of the two distributions.
As an example, an analysis o+ some data which were collected on students from a secondary school has been given. |
| format | Thesis |
| id | oai:ir.oauife.edu.ng:123456789-3505 |
| institution | My University |
| language | English |
| publishDate | 2014 |
| publisher | Obafemi Awolowo University |
| record_format | dspace |
| spelling | oai:ir.oauife.edu.ng:123456789-35052023-05-13T11:11:10Z A Comparative Study of the Means of Multivariate Normal Distributions Gordor, Benony Kwaku Chattopadhyay, A. K. Normal distributions testing of hypothesis mean variance-covariance matrix This work is a comparative study of the means of two multivariate normal distributions. Since this distribution is analogous to the univariate distribution, this latter distribution has been included in the real work. The method considered is that of testing of hypothesis concerning the population means and finding confidence intervals for these parameters on the basis of two independent samples from two populations with these distributions. The univariate normal distribution is specified by two parameters - the mean, x and the variance a2. Likewise its multivariate analogues specified by two vector-valued parameters - the mean and the variance-covariance matrix E. Hence the problem of comparing the means of two (multivariate or univariate) normal distributions has been discussed under different conditions of the variance-covariance matrices (and variances in the case of univariate) of the two distributions. As an example, an analysis o+ some data which were collected on students from a secondary school has been given. 2014-01-22T12:09:08Z 2018-10-29T11:16:21Z 2014-01-22T12:09:08Z 2018-10-29T11:16:21Z 1985 Thesis Gordor, Benony Kwaku (1985)A Comparative Study of the Means of Multivariate Normal Distributions. M. Sc. Statistics, Ile-Ife: Obafemi Awolowo University. http://localhost:8080/xmlui/handle/123456789/3505 en PDF application/pdf Obafemi Awolowo University |
| spellingShingle | Normal distributions testing of hypothesis mean variance-covariance matrix Gordor, Benony Kwaku A Comparative Study of the Means of Multivariate Normal Distributions |
| title | A Comparative Study of the Means of Multivariate Normal Distributions |
| title_full | A Comparative Study of the Means of Multivariate Normal Distributions |
| title_fullStr | A Comparative Study of the Means of Multivariate Normal Distributions |
| title_full_unstemmed | A Comparative Study of the Means of Multivariate Normal Distributions |
| title_short | A Comparative Study of the Means of Multivariate Normal Distributions |
| title_sort | comparative study of the means of multivariate normal distributions |
| topic | Normal distributions testing of hypothesis mean variance-covariance matrix |
| url | http://localhost:8080/xmlui/handle/123456789/3505 |
| work_keys_str_mv | AT gordorbenonykwaku acomparativestudyofthemeansofmultivariatenormaldistributions AT gordorbenonykwaku comparativestudyofthemeansofmultivariatenormaldistributions |