Question

**What is a goodness of fit test? What does it measure?
How is it conducted?**

Answer #1

Good-ness of fit test: A very powerful test for testing the significance of discrepancy between theory and experiment. It enables us to find if the deviation of the experiment from theory is just by chance or is it really due to the inadequacy of the theory to fit the observed data.

It measures the deviation of the experiment from theory. Suppose we want to test a sample data is from normal distribution or not. Or To test whether the digits may be taken to occur equally frequently in the telephone directory.

Procedure: If fi(i=1,2,3..n) is a set of observed data( Experimental) and ei( i=1,2,3...,n) is the corresponding expected (theoretical) frequencies, then chi square test statistic is

follows a chi square distribution with n-1 degrees of freedom

Decision Rule: Reject H0 if

where alpha is level of significance.

What is it and how to test the goodness of fit for a logistic
model?

A researcher conducted a goodness-of-fit test by using
categorical data. Her data consists of 4 categories. Her null
hypothesis states that the data occur in each category with the
same frequency. If she found the test statistic χ2=χ2=12.03:
What is the degree of freedom of the χ2χ2 statistic? 3
What is the P-value of the goodness-of-fit test? (Round
to 3 decimals)

why does the goodness of fit test and test of independence use
the same formula? What's the logic behind it?

what are one of the main characteristics of chi Square
analysis Goodness-to-fit test? What type of research instrument
would be a great fit for Chi Square analysis Goodness-to-fit
test?

A. Compare the Goodness of Fit Test and the Test for
Independence in terms of the number of variables and levels of
those that can be compared. In what ways are they similar or
different?
B. Describe how the Test for Independence and correlation are
similar yet different.

Goodness of fit test is a multinomial probability distribution.
What aspects of the test satisfy the properties of multinomial
probability? Explain

Assume that a Chi-square test was conducted to test the goodness
of fit to a 9:3:3:1 ratio and a Chi-square value of 7.6 was
obtained. Should the hypothesis be accepted or rejected? Why? (df =
n – 1
A) should be accepted, p value is greater than 0.05
B) should be accepted, p value is smaller than 0.05
C) should be rejected, p value is greater than 0.05
D) should be rejected, p value is smaller than 0.05

Define what Goodness of Fit is, briefly discuss the
objective of testing for Goodness of Fit in a minimum of a
paragraph

When evaluating a chi-square test, describe the importance of
the goodness of fit test. Provide an example and explain how the
test is used to evaluate the data.

how to find the goodness of fit in regression

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago