Exp Design & Data Analysis Quiz II (Correlation, Regression, ANOVA, Post-hoc)
Correlation, Regression, and ANOVA Mastery Quiz
Test your knowledge of key statistical concepts with our engaging quiz focused on correlation, regression, and ANOVA. Whether you are a student looking to reinforce your understanding or a teacher aiming to evaluate students' grasp of these concepts, this quiz is designed for you!
- 22 challenging questions
- Multiple choice and text response formats
- Perfect for students, teachers, and data enthusiasts
(1) Correlation is a statistical method used to
A) Determine whether a relationship between variables occurs
B) Describe the nature of the relationship between variables
C) Determine if the nature of the relationship is linear or non-linear
D) All of the above
(2) A coefficient of 0 implies that there is no relationship between the variables:
True
False
(3) r=±1 implies a perfect linear relationship between variables
True
False
(4) The coefficient of determination (R2):
A) Is also named as coefficient of correlation
B) Is between -1 and 1
C) Provides additional information on the direction of the relationship between the variables
D) None of the above
(5) Explanatory variable X, explains or causes changes in the independent variable
True
False
(6) The formula for regression equation is Y’=3x-2. What would be the predicted Y score for a person scoring 4 on X?
A) 5
B) -2
C) 4
D) 10
(7) Suppose it is possible to predict a student’s score on Quiz B from the student’s score on Quiz A. The regression equation is: B’=2.3A + 9.5. What is student’s predicted score on the Quiz B assuming this student obtained a 40 on Quiz A?
A) 100
B) 101.5
C) 100.5
D) None of above
(8) Assuming a student obtained a score of 32.5 on Quiz A and score of 95.25 on Quiz B. Using the same regression equation from the previous question (B’=2.3A+9.5), what is the error of prediction for this student:
(a) 4.78
(b) 11
(c) -11
(d) -4.78
(9) In the simple linear regression model the vertical distance between the line and each data point is named:
(a) Extrapolation value
(b) The intercept
(c) Residual
(d) All of the above
(10) Analysis of Variance (ANOVA) is used to verify:
A) Whether or more groups are significantly different from each other
B) The impact of one or more factors by comparing the means of different
C) The null hypothesis (H0) that all groups have the same
D) All of the above
(11) One-way, two-level ANOVA produces exactly the same p value as the classic independent Student t-test
True
False
(12) An ANOVA involving three different grouping variables is called three-way ANOVA
True
False
(13) In a scenario above, the grand mean will be significant enough?
True
False
In case that the distributions are far apart, difference between means and grand mean would be large
True
False
(15) Between group variability, refers to variations caused by differences within individual levels
True
False
(16) The lower the F-Ratio, more similar are the samples and in these cases the null hypothesis (H0) should be rejected
True
False
(17) The omnibus null hypothesis (H0) when performing ANOVA is that there are differences between group medians; however, no prediction is made concerning where the difference lie
True
False
(18) With four different groups, how many different t-test(s) are necessary to find the differences between the means
A) 8
B) 16
C) 12
D) 4
(19) The Tukey HSD controls the Type I error rate
True
False
(20) Tukey Least Significant Difference (LSD) test is a generalization of Tukey HSD test and handle unbalanced groups
True
False
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