All Flashcards
What is the formula for the Chi-Square statistic (χ²)?
How do you calculate expected frequencies?
Expected Frequency = (Probability of category) * (Total number of observations)
How to calculate degrees of freedom (df)?
df = Number of categories - 1
What is the Chi-Square Goodness of Fit Test?
A test to determine if an observed frequency distribution matches a theoretical expected distribution.
What is the Null Hypothesis (H₀) in a Chi-Square test?
The observed distribution is the same as the expected distribution.
What is the Alternative Hypothesis (Hₐ) in a Chi-Square test?
The observed and expected distributions are significantly different.
What is the significance level (α)?
The threshold for rejecting the null hypothesis (H₀).
What are degrees of freedom (df) in a Chi-Square test?
Number of categories - 1.
What are the differences between Observed and Expected frequencies?
Observed: Actual counts in the sample. | Expected: Counts predicted by the null hypothesis.
What are the differences between a small and large Chi-Square statistic?
Small χ²: Supports H₀, observed and expected are similar. | Large χ²: Suggests expected counts are inaccurate, leading to rejection of H₀.
What are the differences between rejecting and failing to reject the null hypothesis?
Reject H₀: Concluding there is enough evidence for Hₐ. | Fail to reject H₀: Concluding there is not enough evidence for Hₐ.