MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Answer parts d,e, and f, please.

### Text Transcription: 5. A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: #### Diagnosis Category - **Affective Disorders** - 7 - 6 - 5 - 6 - \(M_1 = 6\) - \(SS_1 = 2\) - **Cognitive Disorders** - 12 - 8 - 9 - 11 - \(M_2 = 10\) - \(SS_2 = 10\) - **Drug-Related Conditions** - 8 - 10 - 12 - 10 - \(M_3 = 10\) - \(SS_2 = 8\) - \(SS_{\text{Between}} = 42.67\) a. What test are you going to perform? b. List the hypotheses c. List the decision rule d. Perform the ANOVA e. Complete the ANOVA table ### ANOVA Table Structure: | Source | SS | df | MS | F | |---------|-------|------|------|-----| | Between | | | | | | Within | | | | | | Total | | | | | f. Report your ANOVA result in APA format. ### Analysis: - The psychologist is expected to perform an ANOVA test to determine if there are statistically significant differences between the means of the three diagnosis categories. - The hypotheses for ANOVA are typically: - **Null Hypothesis (H0):** There is no difference in the mean length of stay between the three diagnostic categories. - **Alternative Hypothesis (H1):** At least one category has a different mean length of stay. - The decision rule would involve determining the F-critical value from an F-distribution table at a chosen significance level (e.g., 0.05) and comparing it to the calculated F-statistic.
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Transcribed Image Text:### Text Transcription: 5. A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: #### Diagnosis Category - **Affective Disorders** - 7 - 6 - 5 - 6 - \(M_1 = 6\) - \(SS_1 = 2\) - **Cognitive Disorders** - 12 - 8 - 9 - 11 - \(M_2 = 10\) - \(SS_2 = 10\) - **Drug-Related Conditions** - 8 - 10 - 12 - 10 - \(M_3 = 10\) - \(SS_2 = 8\) - \(SS_{\text{Between}} = 42.67\) a. What test are you going to perform? b. List the hypotheses c. List the decision rule d. Perform the ANOVA e. Complete the ANOVA table ### ANOVA Table Structure: | Source | SS | df | MS | F | |---------|-------|------|------|-----| | Between | | | | | | Within | | | | | | Total | | | | | f. Report your ANOVA result in APA format. ### Analysis: - The psychologist is expected to perform an ANOVA test to determine if there are statistically significant differences between the means of the three diagnosis categories. - The hypotheses for ANOVA are typically: - **Null Hypothesis (H0):** There is no difference in the mean length of stay between the three diagnostic categories. - **Alternative Hypothesis (H1):** At least one category has a different mean length of stay. - The decision rule would involve determining the F-critical value from an F-distribution table at a chosen significance level (e.g., 0.05) and comparing it to the calculated F-statistic.
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