If the ANOVA test is significant, what does that tell us?
It indicates which means differ significantly from each other.
It indicates that all means are the same.
It indicates that there is a difference somewhere between at least two of the groups being compared.
It indicates that the null hypothesis is true.
An ANOVA is used to determine whether there are any statistically significant differences between the means of three or more independent (unrelated) groups. Basically, you’re testing groups to see if there’s a difference between them. If the experiment results are significant it means you need to reject the null hypothesis or accept the alternate hypothesis
Example: Students from different colleges take the same exam. You want to see if one college outperforms the other.
Correct option(C) It indicates that there is a difference somewhere between at least two of the groups being compared.
If the ANOVA test is significant, what does that tell us? It indicates which means differ...
Statistically significant results from ANOVA tell you which groups' means differ from each other. a. true b. false
A significant F-statistic given by the ANOVA test allows us to infer that, A. At least one pair of means are different from each other B. No means are different from each other C. All means compared are different from each other
When 3 or more groups are included in an ANOVA, and the probability level indicates that the null hypothesis should be rejected, what does this tell the researcher? Group of answer choices That each mean is significantly different than every other one Specific post hoc analyses should be done to determine where there are group differences Which groups are different from which other groups It will be necessary to perform t-tests on each of the pairs of means to determine...
In ANOVA, variability between groups reflects _________, whereas variability within groups reflects __________ . total variance; error variance error variance ; total variance random error; a true effect (if one exists) both a true effect (if one exists) and random error; only random error just a true effect (if one exists); random error Rejecting the null hypothesis with the overall or omnibus One-way Analysis of Variance indicates that the: mean of one sample differs significantly from the mean of at...
Which of the following statements is true about the ANOVA? Group of answer choices An ANOVA indicates if any significant difference exists and specifies which two groups were statistically significant. An ANOVA indicates no significant difference between two groups that are statistically significant. An ANOVA indicates no significant difference between three groups that are not statistically significant. An ANOVA indicates if any significant difference exists but does not specify which two groups were statistically significant.
In a one-way ANOVA, what does it mean to reject the statement in the null hypothesis if three treatment groups are being compared? Choose the correct answer below. A. Rejecting the statement in the null hypothesis means that there is insufficient evidence to conclude that the mean of one of the populations is different than the other two or that all three populations are different. B. Rejecting the statement in the null hypothesis means that there is sufficient evidence to...
After observing statistically significant ANOVA results, Bonferroni-corrected inferences to determine which groups differ from each other require the following steps (select all that apply): o Select one or more: a. Compute the type I error rate allowable for each pairwise comparison in order to insure that the type I error rate across all comparisons does not exceed some pre-specified level b. Determine that the difference between a specific pair of groups is statistically significant if the t-test p-value is less...
Which of the following statements about the one-way ANOVA are correct? (Select all that apply) The larger the variability within groups relative to the variability between groups, the larger the F test statistic tends to be. The results of the ANOVA F test does not tel us which groups are different or how different they are. An F-distribution is symmetrical about 0 and extends indefinitely in both directions In a one-way ANOVA, if the null hypothesis is rejected, we conclude that the population means...
If the difference between the 2 population means is not significant, which means the test statistic falls within the "usual" area of the distribution, what is the decision about the null hypothesis?
Which one of the following statements is INCORRECT about ANOVA test? An ANOVA test is an appropriate test for comparing three or more groups in a continuous variable. In an ANOVA test, the outcome variable is on a ratio or interval level of measurement The null hypothesis of an ANOVA test is that all means in comparison are equal. The range of the F value is (-oo, +oo)