1. In order to ensure that our data meet the assumption of homogeneity of varian
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Question
1. In order to ensure that our data meet the assumption of homogeneity of variance, we want to: A. fail to reject the Levene's test. B. reject the Levene's test. C. look at the correlation between the dependent and independent variables. D. look at the mean square in the ANCOVA table. E. None of the above
2. If the correlation between two variables is r = 0.50, the variance of the residual is _____. A. 36% B. 40% C. 75% D. 64% E. 95%
3. Which of the following is true about the type of variable that can be examined as the dependent variable, or outcome, using ANCOVA? A. The dependent variable must be continuous and normally distributed. B. The dependent variable must be nominal. C. The dependent variable must be dichotomous. D. The mean value of the dependent variable must be equal in all groups. E. None of the above
4. ANCOVA is different from one-way ANOVA in that: A. ANCOVA has more than one dependent variable. B. ANCOVA must have a continuous and normally distributed dependent variable. C. ANCOVA allows you to adjust for continuous covariates. D. ANCOVA does not address hypotheses about differences in means. E. None of the above.
1. In order to ensure that our data meet the assumption of homogeneity of variance, we want to: A. fail to reject the Levene's test. B. reject the Levene's test. C. look at the correlation between the dependent and independent variables. D. look at the mean square in the ANCOVA table. E. None of the above
2. If the correlation between two variables is r = 0.50, the variance of the residual is _____. A. 36% B. 40% C. 75% D. 64% E. 95%
3. Which of the following is true about the type of variable that can be examined as the dependent variable, or outcome, using ANCOVA? A. The dependent variable must be continuous and normally distributed. B. The dependent variable must be nominal. C. The dependent variable must be dichotomous. D. The mean value of the dependent variable must be equal in all groups. E. None of the above
4. ANCOVA is different from one-way ANOVA in that: A. ANCOVA has more than one dependent variable. B. ANCOVA must have a continuous and normally distributed dependent variable. C. ANCOVA allows you to adjust for continuous covariates. D. ANCOVA does not address hypotheses about differences in means. E. None of the above.
1. In order to ensure that our data meet the assumption of homogeneity of variance, we want to: A. fail to reject the Levene's test. B. reject the Levene's test. C. look at the correlation between the dependent and independent variables. D. look at the mean square in the ANCOVA table. E. None of the above
2. If the correlation between two variables is r = 0.50, the variance of the residual is _____. A. 36% B. 40% C. 75% D. 64% E. 95%
3. Which of the following is true about the type of variable that can be examined as the dependent variable, or outcome, using ANCOVA? A. The dependent variable must be continuous and normally distributed. B. The dependent variable must be nominal. C. The dependent variable must be dichotomous. D. The mean value of the dependent variable must be equal in all groups. E. None of the above
4. ANCOVA is different from one-way ANOVA in that: A. ANCOVA has more than one dependent variable. B. ANCOVA must have a continuous and normally distributed dependent variable. C. ANCOVA allows you to adjust for continuous covariates. D. ANCOVA does not address hypotheses about differences in means. E. None of the above.
Explanation / Answer
Levene's test is used to for the equality of variances for a variable calculated for two or more groups.
It tests the null hypothesis that the population variances are equal.
So In order to ensure that our data meet the assumption of homogeneity of variance, we want to fail to reject the null hypothesis.
A. fail to reject the Levene's test. (This is the correct answer)
2. First we need to find coefficient of determination = r2 = 0.52 = .5*.5 = .25
so unexplained variation or variance of the residual is = 100 - 25 = 75%
3) ANCOVA is a combination of linear regression and ANOVA, and response variable meed the condition of normality. So that the correct option is A. The dependent variable must be continuous and normally distributed.
4) In ANCOVA the response variable must be continuous and normally distributed and no condition on independent variable
So correct option is , B. ANCOVA must have a continuous and normally distributed dependent variable.
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