Final answer:
The most appropriate statistical test to compare balance measures in older adults who do and do not have a history of falling is the Independent (unpaired) t-test. This test compares the means of two independent groups and can determine if there is a significant difference between the two groups.
Step-by-step explanation:
The most appropriate statistical test to compare balance measures in older adults who do and do not have a history of falling is the Independent (unpaired) t-test. This test compares the means of two independent groups and can determine if there is a significant difference between the two groups. In this case, the two groups would be older adults with a history of falling and those without a history of falling.
Here are the steps for conducting an independent t-test:
- Collect data on balance measures from older adults with and without a history of falling.
- Calculate the mean balance measure for each group.
- Calculate the standard deviation for each group.
- Determine whether the assumption of equal variances holds. If it does not, you can use the Aspin-Welch t-test.
- Calculate the t statistic by dividing the difference in means by the standard error of the difference.
- Compare the t statistic to the critical value from the t-distribution with the appropriate degrees of freedom.
- If the t statistic is greater than the critical value, you can conclude that there is a significant difference in balance measures between the two groups.