# Tag Info

## Hot answers tagged binomial-distribution

Accepted

### How can I determine which of two sequences of coin flips is real and which is fake?

This is a variant on a standard intro stats demonstration: for homework after the first class I have assigned my students the exercise of flipping a coin 100 times and recording the results, broadly ...
• 287k

### How can I determine which of two sequences of coin flips is real and which is fake?

There are two very good answers as of writing this, and so let me add a needlessly complex yet interesting approach to this problem. I think one way to operationalize the human generated vs truly ...
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### How can I determine which of two sequences of coin flips is real and which is fake?

This is a class activity I've first read about in the book Teaching Statistics. A Bag of Tricks, 2nd ed. by Andrew Gelman and Deborah Nolan (they recommend 100 flips, though). Their reasoning to ...
• 25.9k

### How can I determine which of two sequences of coin flips is real and which is fake?

The runs test (NIST page) is a nonparametric test designed to identify unusual frequencies of runs. If we observe $n_1$ heads and $n_2$ tails, the expected value and variance of the number of runs ...
• 32.7k

### How can I determine which of two sequences of coin flips is real and which is fake?

Here's an empirical approach, based on compression as a proxy for algorithmic complexity: ...
• 221
Accepted

### Setting null hypothesis for Binomial test

No, it is not correct. In this example you have two samples so you should be using a two-sample hypothesis test. There are a few different two-sample binomial tests available, so you will need to ...
• 94.2k

### How can I determine which of two sequences of coin flips is real and which is fake?

This answer is inspired by @user1717828's answer which transforms the sequence of coin flips into a random walk. I don't show the two given sequences as random walks here; see @user1717828's answer ...
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### How can I determine which of two sequences of coin flips is real and which is fake?

This is probably an overcomplicated way of looking at it, but for me it's fun, so I present to you... Moran's I Now, Moran's I was developed to look at spatial autocorrelation (basically ...
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### How can I determine which of two sequences of coin flips is real and which is fake?

When people try to generate random sequences, they tend to avoid repeating themselves more than random processes avoid repeating themselves. Thus, if we look at consecutive pairs of flips, we would ...
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### Setting null hypothesis for Binomial test

Is it correct to use one sample binomial test to check if 9 out of 10 (90%) is significantly different using 68% as expected probability? I don't think this is correct because you would assume that ...
• 3,070
Accepted

### Find the probability of which sample comes from a "higher" distribution based on random sample from two distributions

I draw random samples from each distribution, which we can call "bucket" here, with random length, and I need to predict which "bucket" form the two has the high distribution, ...
• 266