How Many Degrees of Freedom Are There When Flipping Two Coins?

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When flipping two coins without regard to which coin shows heads or tails, the degrees of freedom depend on the statistical test used. For testing the equality of probabilities for heads and tails, the Chi-square goodness of fit test is appropriate. In this case, the degrees of freedom are calculated as the number of characteristics minus one, resulting in one degree of freedom. The two characteristics considered are heads and tails. This analysis highlights the importance of the chosen statistical method in determining degrees of freedom.
Savant13
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If I flip two coins at once and don't care which one is heads in the case of a head and a tail, how many degrees of freedom are there?
 
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What is the statistic you are considering?
 
Yes, it really depends on the statistical test you are interested in using. If you wish to test whether the probability of getting a head or a tail is equal (i.e., P(H)=P(T)=0.25 for two coins), then you may want to use the Chi-square goodness of fit test.

The degree of freedom for this test, then, is Number of Characteristics - 1 = 2 - 1 = 1. Notice there are two characteristics here - tail and head.

Feel free to correct me if you think otherwise.
 

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