| Title |
Two sample hypothesis testing for functional data. case study / |
| Translation of Title |
Dviejų imčių hipotezių tikrinimas funkciniams duomenims. Atvejo analizė. |
| Authors |
Jankovskytė, Laura |
| Full Text |
|
| Pages |
45 |
| Keywords [eng] |
Funkciniai duomenys, televizija, žiūrimumas, hipotezių tikrinimas / functional data, television, viewership, hypothesis testing. |
| Abstract [eng] |
In this study, functional data analysis methods are employed to examine viewership data for Lithuanian men and women. The objective is to find out if there are differences in television viewing habits between the two genders. To achieve this objective, we conducted simple pointwise Z test, L2-Norm-Based test, and the widely used MMD-Based test, for the entire time interval and specific smaller intervals. The results showed that we should be careful when choosing tests to perform: despite all tests rejecting the null hypothesis that the means of two samples are equal, it is noteworthy that the MMD-Based test does not reject the null hypothesis during early morning and late evening time intervals. Additionally, new samples of weekly differences were constructed. Furthermore, a noval approach of constructing coefficient functions for pointwise AR(1) models was tried. The variance of AR(1) models residuals were analyzed. The application of AR(1) approach indicated potential similarities in television viewing habits between men and women. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Master thesis |
| Language |
English |
| Publication date |
2024 |
