Question
To determine whether the differences between group means are statistically significant, analysis of variance examines the differences _________. A. neither within nor between groups B.
To determine whether the differences between group means are statistically significant, analysis of variance examines the differences _________.
A. | neither within nor between groups | |
B. | between and within groups | |
C. | within groups | |
D. | between groups |
What is the null hypothesis when doing the analysis of variance procedure?
A. | all of the group means are significantly different from each other in the population | |
B. | at least one of the group means in the population is different from the others | |
C. | the sample means are the same for all of the groups | |
D. | none of the group means in the population is different from each other |
If we conduct an analysis of variance and our F test statistic has a probability (p value) of less than .05, what can we conclude?
A. | There is more variance within groups than there is between groups | |
B. | We cannot reject the null hypothesis | |
C. | In the population, at least one of the group means is different from the others | |
D. | In the population, the group means are not significantly different from each other |
Below are the results of a Tukey post-hoc test for an analysis of variance where socioeconomic status (high, medium, low) is the independent variable, and score on a writing test is the dependent variable.
Tukey multiple comparisons of means 95% family-wise confidence level Fit: aov(formula = write ~ ses) $ses diff lwr upr p adj medium-low 1.309295 -2.6052575 5.223847 0.7096950 high-low 5.296772 0.9887256 9.604818 0.0114079 high-medium 3.987477 0.3296892 7.645265 0.0289035
Based on the results, we can conclude ____________
A. | all three socioeconomic groups are significantly different from each other | |
B. | the high socioeconomic group has the highest average writing test score and is significantly different from the middle and low groups | |
C. | there is no difference between the three group means | |
E. | the medium and low socioeconomic groups are significantly different from each other and the medium group has the higher average writing test score |
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