Degrees of freedom: Why is it important to use the correct df? How can we calculate df in Excel?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 36E
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Degrees of freedom: Why is it important to use the correct df? How can we calculate df in Excel?

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Degrees of Freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

  1. They play a crucial role in the testing of hypothesis. They are used to compute the mean sum of squares in the ANOVA, which are crucial in determining the F-statistic. Any error in the df can lead to erroneous value of F-statistic which might lead to wrong decisions. 
  2. They are crucial even in the case of t-test. Even a small error in the df can lead to wrong value of the critical value and the test statistic. 
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