In: Statistics and Probability
Certified Behavior Analysts claim that their procedures are more effective than any other. Their procedures are clear-cut analytics that anyone can learn and apply. It’s not an art they proclaim, but a science. You decide to put it to test. You interview and survey the parents of autistic kids, loved ones of the depressed, and former sufferers of phobias, who had been treated with Behavior Therapy, Drug Therapy, and Play Therapy. Your survey generates a score from 1-100 with higher values indicating greater effectiveness of the therapy and 85 and above indicates complete resolution of the problem.
Behavior Therapy | Drug Therapy | Play Therapy |
58 |
59 | 58 |
65 | 68 | 61 |
71 | 32 | 50 |
59 | 44 | 60 |
81 | 38 | 64 |
74 | 41 | 62 |
83 | 30 | 85 |
63 | 51 | 57 |
Instructions: 1. Using the above data calculate the one-way analysis of variance in JASP. Report the F-ratio in APA style, including the p-value and eta-squared (treatment magnitude).
2. If the one-way ANOVA shows a significant difference among the groups, then calculate post hoc test to determine which groups are different – be sure you compare each group to each other group. Report the significant differences among the groups. If the one-way ANOVA does not show a significant difference, then state no difference.
3. Calculate the mean and standard deviations for all three groups and report in an APA table. You may use the one generated by JASP/EXCEL.
4. Write a short APA summary of your conclusions. Make sure to use the data to support conclusions
We will use MINITAB software for this answer,
1. Using the above data calculate the one-way analysis of variance in JASP. Report the F-ratio in APA style, including the p-value and eta-squared (treatment magnitude).
The MINITAB output is
since p-value of therapy is 0.001<0.05 we can say that all therapy not has same mean. Hence the therapy has significant effect.
2. If the one-way ANOVA shows a significant difference among the groups, then calculate post hoc test to determine which groups are different – be sure you compare each group to each other group. Report the significant differences among the groups. If the one-way ANOVA does not show
so we can seen from the above output
Behavior Therapy and Play Therapy are insignificant. except this all other combminations (Play Therapy and Drug Therapy, Drug Therapy and Behavior Therapy) significantly effective.
3. Calculate the mean and standard deviations for all three groups and report in an APA table. You may use the one generated by JASP/EXCEL.
4. Write a short APA summary of your conclusions. Make sure to use the data to support conclusions
here we can conclude that the therapy has significantly effective where as Behavior Therapy and Play Therapy far better result than Drug Therapy as per their means.