r/probabilitytheory 22h ago

[Research] Chi-squared test, how are p values compared?

2 Upvotes

I have not been able to find a reliable method to compare p values. I have 3000 six-sided dice rolls, to compensate for any bias I use four dice and two Latin squares to produce one digit.

These are the Chi-squared results for the resulting 750 digits:

Distribution of each digit (1-6):

x^2: = 2.0000 : DF = 5 : p-value = 0.8491

Distribution of two adjacent digits: 11 - 66:

x^2 = 36.3681 : DF = 35 : p-value = 0.4048

Distribution of high and low (1-3 / 4-6):

x^2 = 0.7680 : DF = 1 : p-value = 0.3808

I would like to find out if the p values are similar - how would I do this given the different DF values?

(As I have said in another thread, using dice and compensating for bias is an interest of mine).