An HIV clinical trial with 1151 subjects was conducted. We will focus on two variables from this trial: IVDrug and Age. IVDrug is a categorical variable that indicates whether each subject never, previously, or currently uses IV drugs. Age lists the subject's age in year. Thus, we have age for subjects in three treatment groups. Assume that the samples were collected independently and come from a normally distributed population with equal variances. An ANOVA is used to test whether average age in the three IV drug groups is the same. A partially filled-in ANOVA table is listed below. Use a significance level of 0.05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Analysis of an HIV Clinical Trial

An HIV clinical trial involving 1151 subjects was conducted. This study focuses on two primary variables: **IVDrug** and **Age**. 

- **IVDrug**: This categorical variable identifies whether participants never, previously, or currently use intravenous (IV) drugs.
- **Age**: This variable records the age of the subjects in years, thereby categorizing them into three treatment groups based on their IV drug use status.

#### Objective

The analysis aims to test whether the average age differs among the three IV drug groups. The assumption is that samples were collected independently from a normally distributed population with equal variances.

#### Methodology

An Analysis of Variance (ANOVA) test is utilized with a significance level of 0.05.

#### ANOVA Table

The table below is a partially completed ANOVA table for this study:

|                   | df  | SS    | MS  | F      | p-value |
|-------------------|-----|-------|-----|--------|---------|
| **Treatment**     |     |       |     | 7.5586 |         |
| **Error**         |     | 76.77 |     |        |         |
| **Total**         |     |       |     |        |         | 

- **df**: degrees of freedom
- **SS**: Sum of Squares
- **MS**: Mean Square
- **F**: F-statistic
- **p-value**: Probability value

This table aids in evaluating whether the difference in average ages across the IV drug usage groups is statistically significant. The F-statistic provided is 7.5586, but further calculations are required to complete the table and determine the significance.

The results will help in understanding the demographic differences in age based on drug usage history among the subjects.
Transcribed Image Text:### Analysis of an HIV Clinical Trial An HIV clinical trial involving 1151 subjects was conducted. This study focuses on two primary variables: **IVDrug** and **Age**. - **IVDrug**: This categorical variable identifies whether participants never, previously, or currently use intravenous (IV) drugs. - **Age**: This variable records the age of the subjects in years, thereby categorizing them into three treatment groups based on their IV drug use status. #### Objective The analysis aims to test whether the average age differs among the three IV drug groups. The assumption is that samples were collected independently from a normally distributed population with equal variances. #### Methodology An Analysis of Variance (ANOVA) test is utilized with a significance level of 0.05. #### ANOVA Table The table below is a partially completed ANOVA table for this study: | | df | SS | MS | F | p-value | |-------------------|-----|-------|-----|--------|---------| | **Treatment** | | | | 7.5586 | | | **Error** | | 76.77 | | | | | **Total** | | | | | | - **df**: degrees of freedom - **SS**: Sum of Squares - **MS**: Mean Square - **F**: F-statistic - **p-value**: Probability value This table aids in evaluating whether the difference in average ages across the IV drug usage groups is statistically significant. The F-statistic provided is 7.5586, but further calculations are required to complete the table and determine the significance. The results will help in understanding the demographic differences in age based on drug usage history among the subjects.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman