Independence
Definition
Independence refers to events or variables that do not influence each other. If two events are independent, knowing one event occurred does not affect our knowledge about whether or not the other event will occur.
Analogy
Think about flipping a fair coin and rolling a fair die separately. The outcome of flipping a coin does not impact what number you roll on the die, and vice versa. They are independent events.
Related terms
Conditional Probability: Conditional probability measures how likely an event will occur given that another event has already occurred.
Mutually Exclusive Events: Mutually exclusive events cannot happen at the same time; if one occurs, then others cannot occur simultaneously.
Dependent Events: Dependent events are influenced by each other; knowing one event occurred affects our knowledge about whether or not another event will occur.
"Independence" appears in:
Subjects (5)
Study guides (3)
Additional resources (3)
Practice Questions (7)
For a chi-squared test for independence, the null hypothesis states that:
Which condition is required for a chi-squared test for independence?
When is a chi-square test for independence appropriate?
Which test statistic is used to carry out a chi-square test for homogeneity or independence?
What does a p-value greater than 0.05 indicate in a chi-square test for independence?
Why is independence important in two-sample z-intervals?
Under what conditions can independence be assumed in a two-sample t-test without random sampling?
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