4/9/2023 0 Comments 5 point likert scaleIn most cases, if there is an actual difference between populations, the two tests have an equal probability of detecting it. Apprehensions about the Mann-Whitney test being underpowered were unsubstantiated. Regarding statistical power, the simulation study shows that there is a minute difference between these two tests. Excessive false positives are not a concern for either hypothesis test. Further, the error rates for both analyses are close to the significance level target. The 2-sample t-test and Mann-Whitney test produce nearly equal false positive rates for Likert scale data. This error rate should equal the significance level. The test results are statistically significant but unbeknownst to the investigator, the null hypothesis is actually true. A type I error rate is essentially a false positive. Comparing Error Rates and Power When Analyzing Likert Scale DataĪfter analyzing all pairs of distributions, the results indicate that both types of analyses produce type I error rates that are nearly equal to the target value.
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