# What is independence in statistics?

Asked by Kathleen Eversmeyer on September 12, 2021

Categories: Science Physics

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Independence is acritical concept in Statistics. Two events are said to be independent if one event's occurence does not influence the probability that the other event will or will not occur. Testing independence using cell probabilities.

How do you test independent variables? Formulate an Analysis Plan

1. Significance level. Often, researchers choose significance levels equal to 0.01, 0.05, or 0.10; but any value between 0 and 1 can be used.
2. Test method. Use the chi-square test for independence to determine whether there is a significant relationship between two categoricalvariables.

What is the assumption of independence in statistics? The assumption of independence means that your data isn't connected in any way (at least, in ways that youhaven't accounted for in your model). There are actually two assumptions: The observations between groups should be independent, which basically means the groups are made up of different people.

What does Levene's test tell you? In statistics, Levene's test is an inferential statistic used to assess the equality of variances for a variable calculated for two or more groups. Levene's test assesses this assumption. It tests the null hypothesis that the population variances are equal (called homogeneity of variance or_homoscedasticity).

What would happen if the two events are statistically independent? Independent Events:Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to bedependent.