PDF Notes: Chi-square_Test

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    What does the Chi-Square test determine?

    It assesses the difference between observed and expected data.

    What is the purpose of the Goodness of Fit Test?

    It checks if sample data fits a specific distribution.

    How is the degrees of freedom calculated for the Goodness of Fit Test?

    Calculated as n - 1, where n is the number of categories.

    What does the Test for Independence evaluate?

    It examines the relationship between two categorical variables.

    How is the degrees of freedom calculated for the Test for Independence?

    Calculated as (r - 1) × (c - 1), where r is rows and c is columns.

    What is the formula for the Chi-Square statistic?

    x2 = Σ (O - E)² / E.

    What do O and E represent in the Chi-Square formula?

    O is the observed value; E is the expected value.

    What happens if the Chi-Square test shows a significant difference?

    It suggests that the observed data does not fit the expected distribution.

    What is the implication of a p-value less than alpha in Chi-Square tests?

    It indicates rejecting the null hypothesis.

    What is the expected value in a Goodness of Fit Test with equal proportions?

    It is the total number of observations divided by the number of categories.