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An Empirical Study of Students’ Performance at Assessing Normality of Data Through Graphical Methods
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Statistics.
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Statistics.
2019 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

When applying statistical methods for analyzing data, with normality as an assumption there are different procedures of determining if a sample is drawn from a normally distributed population. Because normality is such a central assumption, the reliability of the procedures is of most importance. Much research focus on how good formal tests of normality are, while the performance of statisticians when using graphical methods are far less examined. Therefore, the aim of the study was to empirically examine how good students in statistics are at assessing if samples are drawn from normally distributed populations through graphical methods, done by a web survey. The results of the study indicate that the students distinctly get better at accurately determining normality in data drawn from a normally distributed population when the sample size increases. Further, the students are very good at accurately rejecting normality of data when the sample is drawn from a symmetrical non-normal population and fairly good when the sample is drawn from an asymmetrical distribution. In comparison to some common formal tests of normality, the students' performance is superior at accurately rejecting normality for small sample sizes and inferior for large, when drawn from a non-normal population.  

Place, publisher, year, edition, pages
2019. , p. 29
Keywords [en]
Web survey, Graphical methods, histogram, Q-Q plot, distribution, sample size, formal tests of normality, Shapiro-Wilks, Jarque-Bera, Lilliefors
National Category
Social Sciences
Identifiers
URN: urn:nbn:se:uu:diva-385507OAI: oai:DiVA.org:uu-385507DiVA, id: diva2:1324723
Subject / course
Statistics
Educational program
Bachelor Programme in Business and Economics
Presentation
2019-06-07, B159 Ekonomikum, Uppsala, 10:15 (Swedish)
Supervisors
Examiners
Available from: 2019-06-24 Created: 2019-06-14 Last updated: 2019-06-24Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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