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I read terms binary data and binomial data in a textbook. What's the difference between them?

ttnphns
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WhiteGirl
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    binomial data is an ambiguous word. Sometimes it means "numbers coming from binomial distribution" and sometimes it means =binary data (or dichotomous data). Tim has given a good distinction. – ttnphns Jul 29 '17 at 08:29

1 Answers1

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Possibly what is meant is that binary data consists only of 0's and 1's for "failures" and "successes" (notice that what you consider as a "success" is arbitrary) and follows a Bernoulli distribution. Binomial data is data that emerged after observing $n$ Bernoulli trials, i.e. it is a sum of Bernoulli random variables and it consists of non-negative integers, it follows a binomial distribution. I say "possibly" because this should be defined in your textbook and it is the only reference that tells you what the author meant.

Tim
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    @WhiteGirl what are a and b? If you can consider one of them as "success" (1) and second as "failure" (0) then yes. See https://stats.stackexchange.com/a/204007/35989 – Tim Jul 29 '17 at 06:55