Question

Asked Nov 25, 2019

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A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for 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 |
Cognitive Disorders |
Drug-Related Conditions |

7 |
12 |
8 |

6 |
8 |
10 |

5 |
9 |
12 |

6 |
11 |
10 |

Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing and compute the means and standard deviations for each group.

Step 1

Given data

Step 2

Formulation of hypothesis

Null Hypothesis is :- There is no difference in the length of stay for patients with different categories of diagnosis.

H_{0}: µ_{Affective Disorders }= µ_{Cognitive Disorders }= µ_{Drug-Related Conditions }

Alternative Hypothesis is :- There is significant difference in the length of stay for patients with different categories of diagnosis.

H_{α}: µ_{Affective Disorders }≠ µ_{Cognitive Disorders }≠ µ_{Drug-Related Conditions}

Steps to perform ANOVA in Excel is given below

- Enter the data in Excel
- GO to data->data analysis->select Anova: Single Factor
- Enter the following data in this table

Step 3

Result obtained f...

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