From Shapiro and Wilk's paper:
> The objective is to derive a test for the hypothesis that this is a
sample from a normal distribution with unknown mean mu and unknown
variance sigma^2
That is, the estimates of the mean and SD are folded into the
derivation of the test statistic.
If you want to test against a specified alternative you could try
e.g. a Kolmogorov-Smirnov test
set.seed(101)
x <- rnorm(100, mean = 5, sd = 3)
ks.test(x, "pnorm", 0, 10)
On 2024-09-02 7:26 p.m., Christofer Bogaso wrote:
Hi,
In ?shapiro.test, there seems to be no option to pass mean and sd
information of the Normal distribution which I want to compare my
sample data to.
For example in the code below, I want to test my sample to N(0, 10).
shapiro.test(rnorm(100, mean = 5, sd = 3))
Is there any way to pass the information of the benchmark normal distribution?
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