A researcher is looking at the effects of an “open-door” policy, where employees are made sure that they can approach their superiors at any time to ask questions or air grievances. Perform a repeated-measures ANOVA on these data to determine whether this has an effect on employee stress self-reports. Does this policy have long-lasting effects? Higher stress scores are equal to higher stress levels… Employee Stress time1 Stress time2 Stress Score time3 A 22 21 21 B 24 26 23 C 15 14 17 D 17 22 19 E 19 20 21 F 20 18 17 G 17 21 23 .
State the Independent Variable and the Dependent Variable. State the null hypothesis in words and symbols. Compute the appropriate statistic. What is your decision? State the full conclusion in words, after computing, if necessary multiple (post hoc) comparisons.
The Independent Variable is the policy and the Dependent Variable is long-lasting effects.
The hypothesis being tested is:
H0: µ1 = µ2 = µ3
Ha: Not all means are equal
Mean | n | Std. Dev | |||
19.1 | 7 | 3.13 | Stress time1 | ||
20.3 | 7 | 3.68 | Stress time2 | ||
20.1 | 7 | 2.54 | Stress Score time 3 | ||
19.9 | 21 | 3.04 | Total | ||
ANOVA table | |||||
Source | SS | df | MS | F | p-value |
Treatment | 5.43 | 2 | 2.714 | 0.27 | .7644 |
Error | 179.14 | 18 | 9.952 | ||
Total | 184.57 | 20 |
The p-value is 0.7644.
Since the p-value (0.7644) is greater than the significance level (0.05), we fail to reject the null hypothesis.
Therefore, we cannot conclude that policy have long-lasting effects.
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