Which among the following is not a property of chi - square distribution?

The correct answer is - Three times the number of degree of freedom is equal to variance

Key Points

• Chi-square distribution properties
  • For large degrees of freedom, the chi-square distribution approaches the normal distribution.
  • Chi-square is indeed a test statistic used in hypothesis testing.
  • Two times the number of degrees of freedom is equal to the variance of the chi-square distribution.

Additional Information

• Chi-square distribution
  • It is used to test hypotheses about the distribution of categorical data.
  • Degrees of freedom in a chi-square test are typically the number of categories minus one.
  • The chi-square distribution is skewed to the right, but as the number of degrees of freedom increases, it becomes more symmetrical.
• Applications of Chi-square tests
  • Chi-square tests for independence: Used to determine if there is a significant association between two categorical variables.
  • Chi-square goodness-of-fit test: Used to determine if a sample data matches a population with a specific distribution.