anxious
Member
Hello fellow gamblers..
I hope we have a statistician among our kind because i need to test the randomness of my local lottery.
The numbers are drawn by a mechanical device. Hence, it is possible that there is some bias in the drawn numbers due to fluctuations of the weights of the balls, or by the fact that the balls enter the bowl in a certain order.
Specifically, I d like to know the following:
1) Does the marginal frequency distribution of numbers drawn correspond to the one expected under randomness (i.e., are the numbers drawn in a truly random way in the sense that the probability that each number is drawn is 1 over the number of balls in the bowl)? and is the distribution of numbers drawn uniform over the columns on the form.
2) Do the mean and variance of the sum of the numbers, the distribution of odd and even numbers, and the distribution of the minimum and maximum correspond to those expected under randomness ?
3) Does the distribution of waiting times (the number of complete draws before a number is drawn again) correspond to the one expected under randomness, and does the Lotto have a memory ( Do numbers that have come up in a certain draw, return in the next draw)?
if y'all have a software in mind that will yield the results i look for, i d appreciate if you advise it to me..
best regards
anxious
I hope we have a statistician among our kind because i need to test the randomness of my local lottery.
The numbers are drawn by a mechanical device. Hence, it is possible that there is some bias in the drawn numbers due to fluctuations of the weights of the balls, or by the fact that the balls enter the bowl in a certain order.
Specifically, I d like to know the following:
1) Does the marginal frequency distribution of numbers drawn correspond to the one expected under randomness (i.e., are the numbers drawn in a truly random way in the sense that the probability that each number is drawn is 1 over the number of balls in the bowl)? and is the distribution of numbers drawn uniform over the columns on the form.
2) Do the mean and variance of the sum of the numbers, the distribution of odd and even numbers, and the distribution of the minimum and maximum correspond to those expected under randomness ?
3) Does the distribution of waiting times (the number of complete draws before a number is drawn again) correspond to the one expected under randomness, and does the Lotto have a memory ( Do numbers that have come up in a certain draw, return in the next draw)?
if y'all have a software in mind that will yield the results i look for, i d appreciate if you advise it to me..
best regards
anxious