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A test (typically of distribution, independence, or goodness of fit), for the family of distributions use [chi-squared-distribution].

1 vote

Why final Chi Square value is too large while fitting goodness of fit for Poisson distribution?

How do you condense $4,000\times 256$ two-dimensional data points into ten bins? And why do you believe the result should be Poisson distributed? It seems like the answer simply is that it isn't, and …
Stephan Kolassa's user avatar
1 vote

What hypothesis test should I use to compare the overall performance of two different athlet...

If you are interested in mean running times and whether A is faster on average than B, then a t test is exactly what you are looking for. Since I would be sourcing the data from IAAF's site, there …
Stephan Kolassa's user avatar
2 votes

Should a chi-square goodness-of-fit test be followed up with Odds Ratio?

It will depend very much on your specific question and dataset. You may want different ORs (which ones to report is a question in itself if you have more than two categories), or it may be useful to s …
Stephan Kolassa's user avatar
1 vote
Accepted

Comparing models

I agree with @Glen_b that you seem to be looking for mixed models. You can use a variant of Akaike's Information Criterion for model selection here. Bonus: AIC works for non-nested models. Here is a r …
Stephan Kolassa's user avatar
0 votes

Check if multiple percentage are significant

The appropriate statistical test is Fisher's exact test. Given your large numbers, you will need to use simulation to obtain $p$ values. In R, you can do this as follows: > TT <- rbind(c(20894-26,229 …
Stephan Kolassa's user avatar
8 votes

Test if two gamma distributed populations are different

Let's simulate some data based on your fits: shape.x <- 0.586219900 rate.x <- 0.012159695 shape.y <- 0.491757644 rate.y <- 0.006671180 set.seed(1) # for replicability x <- rgamma(186,shape=shape.x,ra …
Stephan Kolassa's user avatar
40 votes
Accepted

How to statistically prove if a column has categorical data or not, using Python

Short answer: you can't. There is no statistical test that will tell you whether a predictor that contains the integers between 1 and 10 is a numeric predictor (e.g., number of children) or encodes t …
Stephan Kolassa's user avatar