Advanced Statistics

Advanced Statistics

University

50 Qs

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Advanced Statistics

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50 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is an advantage of using Nonparametric Statistics?

a. It can handle data that is not normally distributed.
b. It requires a smaller sample size than Parametric Statistics.
c. It can be used to test hypotheses about population parameters.
d. It is less time-consuming than Parametric Statistics.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher is interested in assessing the relationship between two variables, X and Y, in a population. The researcher selects a random sample of 100 individuals and measures X and Y for each person. Which of the following is a reason why the researcher might choose to use Kendall's Tau correlation coefficient instead of Spearman's rank correlation coefficient?

a. Kendall's Tau is more appropriate when the data are continuous.
b. Kendall's Tau is more appropriate when the sample size is small.
c. Kendall's Tau is more appropriate when the data are highly skewed.
d. Kendall's Tau is more appropriate when the data are ranked on an ordinal scale.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher is interested in comparing the median scores of two groups of students, Group A and Group B, on a standardized test. After conducting the Mann-Whitney U test, the researcher obtains a test statistic of U = 55 and a critical value of U_crit = 70. What is the researcher's decision regarding the null hypothesis?

a. Reject the null hypothesis because U < U_crit
b. Fail to reject the null hypothesis because U > U_crit
c. Fail to reject the null hypothesis because U < U_crit
d. Reject the null hypothesis because U > U_crit

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher is interested in determining the relationship between the age of employees and their job performance ratings. After conducting Spearman's Rank Correlation Coefficient test, the researcher obtains a correlation coefficient of 0.75 and a critical value of 0.632. What is the researcher's decision regarding the null hypothesis?

a. Reject the null hypothesis because the correlation coefficient is greater than the critical value.
b. Fail to reject the null hypothesis because the correlation coefficient is greater than the critical value.
c. Reject the null hypothesis because the correlation coefficient is less than the critical value.
d. Fail to reject the null hypothesis because the correlation coefficient is less than the critical value.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher is interested in determining the relationship between two variables using Kendall's Tau correlation coefficient. The researcher obtains a correlation coefficient of -0.4. Which of the following conclusions can the researcher draw from this result?

a. There is a strong positive correlation between the two variables.
b. There is a moderate negative correlation between the two variables.
c. There is a weak negative correlation between the two variables.
d. There is no correlation between the two variables.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher is examining the relationship between two variables, X and Y, using Kendall's Tau correlation coefficient. The researcher obtains a correlation coefficient of 0.7. Which of the following conclusions can the researcher draw from this result?

a. Variable X causes variable Y.
b. There is a strong positive correlation between X and Y.
c. There is a weak positive correlation between X and Y.
d. There is no relationship between X and Y.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher wants to determine if there is a significant difference in the time taken to complete a task using three different software programs: Program A, Program B, and Program C. After conducting the Friedman test, the researcher obtains a test statistic of 9.5 and a critical value of 6.25. What is the researcher's decision regarding the null hypothesis?

a. Reject the null hypothesis because the test statistic is greater than the critical value.
b. Fail to reject the null hypothesis because the test statistic is greater than the critical value.
c. Reject the null hypothesis because the test statistic is less than the critical value.
d. Fail to reject the null hypothesis because the test statistic is less than the critical value.

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