suppose that for a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom. what would you anticipate happening to tdf as the df increase?

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xzplicitskilz1993 xzplicitskilz1993

08-11-2022
Mathematics

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suppose that for a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom. what would you anticipate happening to tdf as the df increase?

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MahimZuberi MahimZuberi · Answer 1 · 2022-11-12T05:39:02-05:00

The critical t-distribution values converge to the critical z-distribution values as a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom.

What is degree of freedom?

The maximum number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom, also known as numerical freedom of variance, are the maximum number of logically independent values that can be present in sample data. Degrees of freedom are frequently brought up when discussing various mathematical hypothesis testing techniques, like the chi-square.

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