Physical Sciences and Mathematics Commons^™

Ianova: Multi-Sample Means Comparisons For Imprecise Interval Data, Zachary Rios

All Graduate Theses and Dissertations, Fall 2023 to Present

In recent years, interval data has become an increasingly popular tool to solve modern data problems. Intervals are now often used for dimensionality reduction, data aggregation, privacy censorship, and quantifying awareness of various uncertainties. Among many statistical methods that are being studied and developed for interval data, the significance test is particularly of importance due to its fundamental value both in theory and practice. The difficulty in developing such tests mainly lies in the fact that the concept of normality does not extend naturally to interval data (due the range of an interval being necessarily non-negative), causing the exact tests …

Using Gamification To Foster Student Resilience And Motivation To Learn, And Using Games To Teach Significance Testing Concepts In The Statistics Classroom, Todd Partridge

All Graduate Theses and Dissertations, Fall 2023 to Present

Two studies are outlined in this dissertation.

In the first study, elements of Super Mario Bros. videos games were used to change the way college students in a beginners’ statistics course were graded on their work. This was part of an effort to help students remain optimistic in the face of challenging coursework and even failure on assignments and tests. The study shows that the changes made to the grading structure did help students to keep trying and to use the materials given to them by their professor until they achieved their desired grade in the course, and suggests ways …

Specific Hypotheses In Linear Models And Their Power Function In Unbalanced Data, Seyed Mohtaba Taheri

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

A hypothesis is a statement or claim about the state of nature. Scientific investigators, market researchers, governmental decision makers, among others, will often have hypotheses about the particular facet of nature, hypotheses that need verification or rejection, for one purpose or another. Statisticians concerned with testing hypotheses using unbalanced data on the basis of linear models have talked about the difficulties involved for many years but, probably because the problems are not easily resolved, there is yet no satisfactory solution to these problems