0
A chi-square test tells one how likely it is that a set of numbers one has could have been generated by random assignment of numbers. It is used to help build arguments that a given set of numbers (usually counts along two dimensions) does or does not arise from real differences in the world.
For example, one might wish to test if men of a given age and in a given socioeconomic milieu are more likely than women of the same age and socioeconomic milieu to buy a portable music player. You could ask all members of the group if they had bought portable music players. Your results might look like this (N.B.: invented data):
Bought a player Did not buy a player
Men 15342 25774
Women 17994 23164
A chi-square test could tell you how likely it is that being a woman makes one more likely to buy a portable music player. (Note further that the categories used in chi-square tests should be (a) "natural" categories and (b) should be exhaustive.
Add your answer:
Earn +20 pts
Is Chi-square a test of association?
The Chi-squared statistic can be used to test for association.
What does it mean when tests are chi-square based?
A chi-squared test is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true.
How do you find degrees of freedom for a chi squared test?
(r-1)x(c-1)
When is the chi-test used?
There are many chi-squared tests. You may mean the chi-square goodness-of-fit test or chi-square test for independence. Here is what they are used for.A test of goodness of fit establishes if an observed frequency differs from a theoretical distribution.A test of independence looks at whether paired observations on two variables, expressed in a contingency table, are independent of each.
Chi square is used in nonparametric hypothesis test?
Yes, Chis squared test are among the most common nonparametric statistics tests.
What is chi-squared test?
A chi-squared test is essentially a test based on the chi-squared parameter. It measures how well a set of observations agrees with that predicted by some hypothesised distribution.
Is Chi-square a test of association?
The Chi-squared statistic can be used to test for association.
What does it mean when tests are chi-square based?
A chi-squared test is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true.
How do you find degrees of freedom for a chi-squared test?
The degrees of freedom for a chi-squarded test is k-1, where k equals the number of categories for the test.
What are the key differences between a chi-squared test and a t-test, and how do you decide which one to use in your statistical analysis?
The key difference between a chi-squared test and a t-test is the type of data they are used for. A chi-squared test is used for categorical data, while a t-test is used for continuous data. To decide which test to use in your statistical analysis, you need to consider the type of data you have and the research question you are trying to answer. If you are comparing means between two groups, a t-test is appropriate. If you are examining the relationship between two categorical variables, a chi-squared test is more suitable.
How do you find degrees of freedom for a chi squared test?
(r-1)x(c-1)
When do you use a chi-squared test?
When your results are nominal When it is an independent group design When the hypothesis predicts a difference.
Why is a chi-squared test for qualitative data always right-tailed?
A chi square is square of standard normal variate, so all values are positive
When is the chi-test used?
There are many chi-squared tests. You may mean the chi-square goodness-of-fit test or chi-square test for independence. Here is what they are used for.A test of goodness of fit establishes if an observed frequency differs from a theoretical distribution.A test of independence looks at whether paired observations on two variables, expressed in a contingency table, are independent of each.
Chi square is used in nonparametric hypothesis test?
Yes, Chis squared test are among the most common nonparametric statistics tests.
What is the F ratio test and how is it different from Chi square square test?
A F-ratio test compares 2 variances and tell if they are significantly different. A Chi-square test compares count data.
What is the chi square test used for?
The chi-squared test is used to compare the observed results with the expected results. If expected and observed values are equal then chi-squared will be equal to zero. If chi-squared is equal to zero or very small, then the expected and observed values are close. Calculating the chi-squared value allows one to determine if there is a statistical significance between the observed and expected values. The formula for chi-squared is: X^2 = sum((observed - expected)^2 / expected) Using the degrees of freedom, use a table to determine the critical value. If X^2 > critical value, then there is a statistically significant difference between the observed and expected values. If X^2 < critical value, there there is no statistically significant difference between the observed and expected values.
