Which test is more likely to produce a statistically significant result compared to the Kolmogorov-Smirnov test?

Which test is more likely to produce a statistically significant result compared to the Kolmogorov-Smirnov test?

• A. Levene's test
• B. Shapiro-Wilk test
• C. Wilcoxon test
• D. Cohen's d

Answer: (B)

The Shapiro-Wilk test is primarily used to assess the normality of a distribution. A statistically significant result from this test indicates that the data significantly deviates from a normal distribution. Compared to the Kolmogorov-Smirnov test, which can also assess normality but is less powerful when sample sizes are small, the Shapiro-Wilk test is generally more sensitive and capable of detecting departures from normality even in fewer data points. This heightened sensitivity means that the Shapiro-Wilk test is more likely to yield statistically significant results under certain conditions, particularly when the sample size is small and the data deviates from a normal distribution. Other options, while used in different contexts, do not serve the same purpose in detecting normality or specific distribution characteristics as directly or as effectively as the Shapiro-Wilk test does in relation to the Kolmogorov-Smirnov test.

The Shapiro-Wilk test is primarily used to assess the normality of a distribution. A statistically significant result from this test indicates that the data significantly deviates from a normal distribution. Compared to the Kolmogorov-Smirnov test, which can also assess normality but is less powerful when sample sizes are small, the Shapiro-Wilk test is generally more sensitive and capable of detecting departures from normality even in fewer data points. This heightened sensitivity means that the Shapiro-Wilk test is more likely to yield statistically significant results under certain conditions, particularly when the sample size is small and the data deviates from a normal distribution.

Other options, while used in different contexts, do not serve the same purpose in detecting normality or specific distribution characteristics as directly or as effectively as the Shapiro-Wilk test does in relation to the Kolmogorov-Smirnov test.