Question

In: Statistics and Probability

What the df would be?

What the df would be?

Solutions

Expert Solution

 

df = degrees of freedom

Degrees of freedom are the number of independent values that a statistical analysis can estimate

the degrees of freedom equal to sample size minus the number of parameters we need to calculate during an analysis. It is usually a positive whole number.

In statistics, the degrees of freedom (dF) indicate the number of independent values that can vary in an analysis without breaking any constraints. It is an important idea that appears in many contexts throughout statistics including hypothesis tests, probability distributions, and regression analysis.

Degrees of freedom is a combination of how much data we have and how many parameters we need to estimate. It indicates how much independent information goes into a parameter estimate.

Degrees of Freedom and Probability Distributions

Degrees of freedom also define the probability distributions for the test statistics of various hypothesis tests. For example, hypothesis tests use the t-distribution, F-distribution, and the chi-square distribution to determine statistical significance. Each of these probability distributions is a family of distributions where the degrees of freedom define the shape. Hypothesis tests use these distributions to calculate p-values. So, the DF are directly linked to p-values through these distributions


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