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The information given is the actual case study. Here is the chart that was given

ID: 3228249 • Letter: T

Question

The information given is the actual case study. Here is the chart that was given as well

ANOVA table

Source

df

SS

MS

F

p

Dosage

3

557.6146

185.8715

5.1785

0.0028

Subjects

23

9065.4896

394.1517

Error

69

2467.6354

35.8933

Total

95

12099.7396

Treatment Effects of a Drug on Cognitive Functioning in Children with Mental Retardation and ADHD.

Here are also questions that go along with the case study.

Hypotheses: List the statistical notation and written explanations for the null and alternative hypotheses for the study. Variables: Describe the independent and dependent variables, their levels, operational definitions, and characteristics (e.g., scale of measurement). Data Analysis: You are given the following information from the ANOVA conducted. Summarize the specific type of statistical test conducted, the results obtained, and conclusions regarding the hypotheses (e.g, can we reject at the .05 or .01 level?). Be sure to describe why this specific ANOVA was selected and if a post-hoc test should be conducted. Critique: Critique the results of the study, paying specific attention to the appropriateness of the analyses conducted, any biases or assumptions that were made, practical significance of the results, and recommendations for improving upon the study (methods or analyses).

Source

df

SS

MS

F

p

Dosage

3

557.6146

185.8715

5.1785

0.0028

Subjects

23

9065.4896

394.1517

Error

69

2467.6354

35.8933

Total

95

12099.7396

Explanation / Answer

The hypothesis are as follows;

Null Hypothesis: The different types of doses and subjects have no impact on the cognitive functioning of the children with mental retardation & ADHD.

Alternate Hypothesis: The different types of doses and subjects have an impact on the cognitive functioning of the children with mental retardation & ADHD.

.

The dependent and independent variables are as follows:

Dependent variables: Cognitive functioning of children with mental retardation & ADHD

Independent variables: 4 different types of doses and 23 subjects

.

From the ANOVA table we get to know that the Test Statistic F = 5.1785 & the P value =0.0028

Thus at the significance level 0.05, we reject the null hypothesis

Because: P value 0.0028 < alpha 0.05, thus we reject the null

.

Conclusion: The we conclude that different types of doses and different subjects have different conginitive functioning in children with mental retardation & ADHD