On the Effects of Nonlinearity Between Variables on the Correlation Coefficient

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dc.contributor.advisorVolodin, Andrei
dc.contributor.advisorHossain, Shakhawat
dc.contributor.authorAdegoke, Adeola Olumbunmi
dc.contributor.committeememberDeng, DianLiang
dc.contributor.externalexaminerIdem, Raphael
dc.date.accessioned2019-06-21T19:57:16Z
dc.date.available2019-06-21T19:57:16Z
dc.date.issued2018-08
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Statistics, University of Regina. ix, 76 p.en_US
dc.description.abstractA simulation study by Monte-Carlo method was used to investigate the e ect of violating the assumption of bivariate normality on the Pearson correlation coe cient. We also examined the impacts of nonlinearity between a pair of variables when they are not independent, even though the population correlation is zero. The results of the study showed that there is a great impact when such violations of normality occur. It also showed the rate of Type I error can either be quite small or large in contrast to the assumed error rate. We made a recommendation that the t statistic be used with great caution or altogether avoided if there are good reasons to believe that a nonlinear relationship exists between the variables.en_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-8881
dc.identifier.thesisurlhttps://ourspace.uregina.ca/bitstream/handle/10294/8881/Adegoke_Adeola_MSC_STAT_Spring2019.pdf
dc.identifier.urihttps://hdl.handle.net/10294/8881
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.titleOn the Effects of Nonlinearity Between Variables on the Correlation Coefficienten_US
dc.typeThesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineStatisticsen_US
thesis.degree.grantorUniversity of Reginaen
thesis.degree.levelMaster'sen
thesis.degree.nameMaster of Science (MSc)en_US
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