You intend to conduct a goodness-of-fit test for a multinomial distribution with 6 categories. You collect data from 99 subjects.What are the degrees of freedom for the χ² distribution for this test?d.f. = [ ]Question Help: ✉️ Message instructor[Submit Question] (Button)---**Explanation of Content:**- The process described involves using a χ² (Chi-squared) test to determine how well the observed data fits a certain expected distribution across 6 categories.- The degrees of freedom (d.f.) for a χ² test in a goodness-of-fit test is calculated as the number of categories minus 1. With 6 categories, the degrees of freedom would be 5.- There is an input box for entering the degrees of freedom.- A button labeled "Submit Question" is provided for submission.- There is a help option to message the instructor for assistance.**Technical Details:**1. **Degrees of Freedom Calculation:** - Formula: $ \text{d.f.} = k - 1 $ - Where $ k $ is the number of categories. - Example: For 6 categories, $ \text{d.f.} = 6 - 1 = 5 $.2. **Test Purpose:** - Determines if observed frequencies differ from expected ones across categories.3. **Practical Application:** - Useful in research and statistical analysis to validate data distribution assumptions.

Number of categories = 6 Number of subjects = 99Degrees of freedom for the chi square test = Number of categories - 1 Degrees of freedom for the chi square test = 6 -1 Degrees of freedom for the chi square test = 5 Answer = 5 Thank you..!!

Math

Statistics

You intend to conduct a goodness-of-fit test for a multinomial distribution with 6 categories. You collect data from 99 subjects. What are the degrees of freedom for the x distribution for this test? d.f. D

You intend to conduct a goodness-of-fit test for a multinomial distribution with 6 categories. You collect data from 99 subjects. What are the degrees of freedom for the x distribution for this test? d.f. D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You intend to conduct a goodness-of-fit test for a multinomial distribution with 6 categories. You collect data from 99 subjects.

What are the degrees of freedom for the χ² distribution for this test?

d.f. = [ ]

Question Help: ✉️ Message instructor

[Submit Question] (Button)

---

**Explanation of Content:**

- The process described involves using a χ² (Chi-squared) test to determine how well the observed data fits a certain expected distribution across 6 categories.
- The degrees of freedom (d.f.) for a χ² test in a goodness-of-fit test is calculated as the number of categories minus 1. With 6 categories, the degrees of freedom would be 5.
- There is an input box for entering the degrees of freedom.
- A button labeled "Submit Question" is provided for submission.
- There is a help option to message the instructor for assistance.

**Technical Details:**

1. **Degrees of Freedom Calculation:**
- Formula: $ \text{d.f.} = k - 1 $
- Where $ k $ is the number of categories.
- Example: For 6 categories, $ \text{d.f.} = 6 - 1 = 5 $.

2. **Test Purpose:**
- Determines if observed frequencies differ from expected ones across categories.

3. **Practical Application:**
- Useful in research and statistical analysis to validate data distribution assumptions.

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