How Does The Fisher's Least Significant Difference Test Work

how Does The Fishers Least Significant Difference Test Di

Topic 6 DQ 2 how does the Fisher’s least significant difference test differ from Tukey’s honestly significant difference test? Provide examples of when you would use each Luis Re: Topic 6 DQ 2 Professor and Classmates, Both are post hoc tests used to determine which differences between pairs of group means are significant. The Fisher's least significant difference test, also called the protected t test, is the most liberal post hoc test allowed; it has the lowest critical values acceptable, which increases the power to detect an effect or mean difference between two groups. It does not require that the number of participants in each group be equal. The Tukey's Honestly Significant Difference test is a more conservative test where the critical levels are larger for each pairwise comparison. Both tests produce the same results and would be used when making a decision to either retain or reject the null hypothesis. An example of when to use the Fisher's LSD test could be to gather data on the level of stress experienced by high school students in each of the four classes—freshman, sophomore, junior, and senior—and how it affects learning, since each class would not have an equal number of students enrolled. An example of when to use Tukey's HSD could be to examine if exercise routines are affected by distraction methods like music or videos, such as comparing mood, focus, and time spent exercising among different groups in a gym. Terry Re: Topic 6 DQ 2 Turkey’s honestly significant difference test is the most conservative, while Fisher’s least significant difference test is the most liberal. Fisher’s test is also known as the protected t test; it can compare groups with unequal sample sizes. Fisher’s test has the lowest critical values that are acceptable, which increases the power to detect differences between groups. For example, if you are testing which group learns faster—by comparing groups after 2 days, 4 days, and 6 days—you could use Fisher’s LSD to identify differences in learning speed over time. Conversely, Tukey’s HSD is suited for many pairwise comparisons across multiple groups; it can compare a large number of group means, such as examining differences across various school classes by age and study habit. Patricia Re: Topic 6 DQ 2 Unlike the conservative Tukey’s HSD, Fisher’s LSD is the most liberal post hoc test allowed in published research (Privitera, 2015). It has the lowest critical values, which enhances the power to detect effects or mean differences, and does not require equal group sizes. Fisher’s LSD compares individual error rates and the number of comparisons to maintain the overall confidence level for multiple comparisons. Tukey’s HSD is designed for all pairwise comparisons and is preferred when multiple groups are analyzed to identify significant differences that might not be apparent with planned comparisons. For example, using Fisher’s LSD, a researcher could compare the mean test scores after different periods of study to see which timeframe shows the most improvement. Conversely, Tukey’s HSD would be appropriate when analyzing the effectiveness of several exercise routines or study programs across a large sample, where all group differences need to be examined holistically. References Privitera, G. J. (2015). Statistics for the behavioral sciences. Sage Publications.