A researcher conducted an analysis of variance (ANOVA) for three groups of child
ID: 3325639 • Letter: A
Question
A researcher conducted an analysis of variance (ANOVA) for three groups of child welfare employees, each of whom received a different amount of professional development training (re: Group 1: 5 hrs/wk; Group 2: 10 hrs/wk; Group 3: 15 hrs/wk). The researcher hypothesized that participants who received more training would report greater levels of satisfaction with their training. Results were as follows: F= 25.12; p= 0.002. Given these results, what conclusions can be made?
a) The findings were statistically significant.
b) The null hypothesis should be retained.
c)Employees in Group 2 reported higher levels of satisfaction with their training compared to individuals in Groups 1 and 3.
d) Both the first and third responses are correct.
A social worker used a standardized scale to measure job satisfaction among three different groups of employees from the same agency. In order to compare the three groups on their mean levels of job satisfaction, the social worker needs to...
a)Conduct three independent t-tests.
b)Conduct three dependent t-tests.
c)Conduct an analysis of variance with post hoc tests.
d)None of the above
a) The findings were statistically significant.
b) The null hypothesis should be retained.
c)Employees in Group 2 reported higher levels of satisfaction with their training compared to individuals in Groups 1 and 3.
d) Both the first and third responses are correct.
A social worker used a standardized scale to measure job satisfaction among three different groups of employees from the same agency. In order to compare the three groups on their mean levels of job satisfaction, the social worker needs to...
a)Conduct three independent t-tests.
b)Conduct three dependent t-tests.
c)Conduct an analysis of variance with post hoc tests.
d)None of the above
Explanation / Answer
part 1
since p-value is 0.002 and is less than alpha (usually this is compared with alpha which is 0.05, even if it is 0.01 p-value is less than alpha), we can reject null hypothesis and can infer that the findiings are statistically significant.
answer is
a) The findings were statistically significant.
part 2
For comparing the variances of three groups, we can use an analysis of variance. However this can yield only one of these 2 results.
Result 1 - there is difference in variances of the groups
Result 2 - there is no difference in variances of the groups
If we get result1, we will not know which groups are different. It can be the case that group 1 and group 2 are equal but not equal to group 3. Or group 2 and group 3 are equal but not equal to group 1. Or group 1 and group 3 are equal but not equal to group 2.
To find out we have to do a post hoc test among the three groups to find which pairs are equal and not equal.
The answer is
c) conduct an analysis of variance with post hoc tests
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