randomness

1. Dice Rolls and the Environment

So, I am an AP Stats student and our teacher just explained that dice rolls that hit something are not going to produce uniform results when you include dice rolls that hit an object or land on the floor because these change the outcome of the roll. Now, I trust her, as our school produces some...
2. Randomness testing using frequency within a block method, chi-square statistic doubt.

The chi-squared statistic under the frequency within a block method is defined as 4M summation of (proportion of 1s in block - 0.5 ) ^2 where M is the length Of each block I understand that this follows a chi-square goodness of fit test observed-expected frequency square. But where does this 4M...
3. Chi squared for randomness

Greetings, I am testing pseudo-random number generators and need to perform a chi-squared test. However, I've encountered some difficulties. Let's take the following example: I have generated 100 numbers, ranging from 1 to 10. The distribution is as follows: 1: 8 2: 12 3: 9 4: 11 5...
4. Measures of randomness

Does anyone have any ideas on how to quantify randomness? More, specifically, I need a measure of clustering. Let's say I have 2 groups within a dataset. I plot their values based on two measures and color-code by group. When I do the same using other measures, I get a different scatter of red...
5. Probability that a set of numbers is non-random?

Hello, I'm wondering if anyone knows the answer to this: For a set of X numbers with a median of Y and a standard deviation of Z, where a set determined randomly according to a Gaussian distribution would have a median of 0, what is the probability that the median Y indicates that the set...