Statistical Comparison and Significance

“Quantitative research is great for determining the scale or priority of design problems, benchmarking the experience, or comparing different design alternatives in an experimental way.” [1]

💡 To calculate the statistical significance with the online calculators, paste all raw-data of every tester into the calculators. E.g. all UEQ-S likert scale answers from testers of group 1 into the first column and all data from group 2 into the second column.

To know which statistical methods to use you have to check your data for normal distribution first and see if they are interval-scaled.

If your data is normally distributed and interval-scaled you should use parametric tests. We recommend:

t-test for two dependent or independent samples

ANOVA for three or more samples (dependent or independent)

💡 Dependent samples are from the same set of individuals. Independent samples are from different sets of individuals.

If your data is not normally distributed or not metric you should use non-parametric tests. We recommend:

Wilcoxon Signed Rank test for dependent samples

Mann-Whitney test for independent
samples

💡 It depends on your hypothesis if you have to use one-tailed or two-tailed testing [3]:

Statistical Significance

When using statistical methods for your hypotheses you want their results to be significant at p<.05 or even p<.01.

"Statistical significance" refers to the probability that the observed result could have occurred randomly if it has no true underlying effect. This probability is usually referred to as "p" and by convention, p should be smaller than 5% to consider a finding significant.

Sometimes researchers insist on stronger significance and want p to be smaller than 1%, or even 0.1%, before they'll accept a finding with wide-reaching consequences, say, for a new blood-pressure medication to be taken by millions of patients.” [2]

Sources

[1] - Moran, Kate. "Quantitative Research: Study Guide" URL: https://www.nngroup.com/articles/quantitative-research-study-guide/[Accessed September 2022] 8 (2021).

[2] - Nielsen, Jakob. "Understanding Statistical Significance" URL: http://www.nngroup.com/articles/usability-101-introduction-to-usability/[Accessed September 2022] 3 (2014).

[3] - Surbhi, S. "Difference Between One-tailed and Two-tailed Test" URL: https://keydifferences.com/difference-between-one-tailed-and-two-tailed-test.html[Accessed September 2022] 2 (2018).