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How to check if two Poisson samples have the same p value?
poisson.test (c (n1, n2), c (t1, t2), alternative = c (“two.sided”)) This is a test which compares the Poisson rates of 1 and 2 with each other, and gives both a p value and a 95% confidence interval.
Which is the exact test of the Poisson distribution?
poisson.test: Exact Poisson tests Description. Performs an exact test of a simple null hypothesis about the rate parameter in Poisson distribution, or for the ratio between two rate parameters. Usage poisson.test(x, T = 1, r = 1, alternative = c(“two.sided”, “less”, “greater”), conf.level = 0.95) Arguments
What is the p-value of the randomization test?
The P-value from the randomization test is 0.0268 As we can see, the randomization test provides results that are largely consistent with the t-test. This is not surprising since we specifically sampled independent data from normal distributions with similar variances.
How to calculate the significance of two sample KS?
KS2TEST(R1, R2, lab, alpha, b, iter, m) is an array function which outputs a column vector with the values D-stat, p-value, D-crit, n1, n2 from the two-sample KS test for the samples in ranges R1 and R2, where alpha is the significance level (default =.05) and b, iter and m are as in KSINV.
Which is the best method to test the Poisson mean?
To test the Poisson mean, the conditional method was proposed by Przyborowski and Wilenski (1940). The conditional distribution of X1 given X1+X2 follows a binomial distribution whose success probability is a function of the ratio two lambda.
How are Poisson distributions determined by their parameter?
Note that Poisson distributions are entirely determined by their parameter, so a test of equality of their mean parameter is a test for whether the distributions are the same.
Which is an example of a hypothesis test?
You could condition on the total count and do a test of proportions (a binomial test in exact form, or via normal approximation, or equivalently a chi-squared test). For example, this binomial test is what you get if you do poisson.test on two samples in R.