```
library(testthat)
context("hypothesis testing")
test_that("hypothesis_testing_lm", {
dat <- lfmm_sampler(n = 100, p = 1000, K = 1,
outlier.prop = 0.1,
cs = c(0.8),
sigma = 0.2,
B.sd = 1.0,
U.sd = 1.0,
V.sd = 1.0)
X <- cbind(dat$X, dat$U, rnorm(100))
hp <- hypothesis_testing_lm(dat, X = X, lambda = 0.0)
lm.res <- lm(dat$Y ~ X - 1)
B.lm <- lm.res$coefficients
expect_lt(mean(abs(t(B.lm) - hp$B)), 1e-15)
s <- summary(lm.res)
## E
E.lm <- lm.res$residuals
## score
score <- sapply(seq_along(s), function(i) s[[i]]$coefficients[,3])
dim(score)
expect_lt(mean(abs(t(score) - hp$score)), 1e-10)
## pvalue
pvalue <- sapply(seq_along(s), function(i) s[[i]]$coefficients[,4])
dim(pvalue)
expect_lt(mean(abs(t(pvalue) - hp$pvalue)), 1e-14)
hist(pvalue[3,]) ## ok
hist(hp$pvalue[,3]) ## ok
})
```

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