fix for incorrect stats computation in diff exp t-test (#2318)

* 2211 fixes

* lint

* lint

* add missing test and bug found by test

* change terminology for count distribution

* update scanpy requirement

* update scanpy requirement
This commit is contained in:
Bruce Martin
2021-07-23 11:36:26 -07:00
committed by GitHub
parent 1ebde2213d
commit 1ea2b7fe80
28 changed files with 336 additions and 90 deletions
+32 -12
View File
@@ -1,5 +1,6 @@
import numpy as np
from scipy import sparse, stats
from backend.common.constants import XApproxDistribution
def diffexp_ttest(adaptor, maskA, maskB, top_n=8, diffexp_lfc_cutoff=0.01):
@@ -7,7 +8,7 @@ def diffexp_ttest(adaptor, maskA, maskB, top_n=8, diffexp_lfc_cutoff=0.01):
Return differential expression statistics for top N variables.
Algorithm:
- compute log fold change (log2(meanA/meanB))
- compute fold change
- compute Welch's t-test statistic and pvalue (w/ Bonferroni correction)
- return top N abs(logfoldchange) where lfc > diffexp_lfc_cutoff
@@ -26,21 +27,24 @@ def diffexp_ttest(adaptor, maskA, maskB, top_n=8, diffexp_lfc_cutoff=0.01):
:param top_n: number of variables to return stats for
:param diffexp_lfc_cutoff: minimum
absolute value returning [ varindex, logfoldchange, pval, pval_adj ] for top N genes
:return: for top N genes, {"positive": for top N genes, [ varindex, logfoldchange, pval, pval_adj ], "negative": for top N genes, [ varindex, logfoldchange, pval, pval_adj ]}
:return: for top N genes, {"positive": for top N genes, [ varindex, foldchange, pval, pval_adj ], "negative": for top N genes, [ varindex, foldchange, pval, pval_adj ]}
"""
X_approx_distribution = adaptor.get_X_approx_distribution()
dataA = adaptor.get_X_array(maskA, None)
dataB = adaptor.get_X_array(maskB, None)
# mean, variance, N - calculate for both selections
meanA, vA, nA = mean_var_n(dataA)
meanB, vB, nB = mean_var_n(dataB)
meanA, vA, nA = mean_var_n(dataA, X_approx_distribution)
meanB, vB, nB = mean_var_n(dataB, X_approx_distribution)
res = diffexp_ttest_from_mean_var(meanA, vA, nA, meanB, vB, nB, top_n, diffexp_lfc_cutoff)
return res
def diffexp_ttest_from_mean_var(meanA, varA, nA, meanB, varB, nB, top_n, diffexp_lfc_cutoff):
# IMPORTANT NOTE: this code assumes the data is normally distributed and/or already logged.
n_var = meanA.shape[0]
top_n = min(top_n, n_var)
@@ -64,15 +68,15 @@ def diffexp_ttest_from_mean_var(meanA, varA, nA, meanB, varB, nB, top_n, diffexp
pvals_adj = pvals * n_var
pvals_adj[pvals_adj > 1] = 1 # cap adjusted p-value at 1
# logfoldchanges: log2(meanA / meanB)
logfoldchanges = np.log2(np.abs((meanA + 1e-9) / (meanB + 1e-9)))
# log fold change. The data is normally distributed/logged, so just subtract the means.
logfoldchanges = meanA - meanB
stats_to_sort = tscores
# find all with lfc > cutoff
lfc_above_cutoff_idx = np.nonzero(np.abs(logfoldchanges) > diffexp_lfc_cutoff)[0]
# derive sort order
if lfc_above_cutoff_idx.shape[0] > top_n*2:
if lfc_above_cutoff_idx.shape[0] > top_n * 2:
# partition top N
rel_t_partition = np.argpartition(stats_to_sort[lfc_above_cutoff_idx], (top_n, -top_n))
rel_t_partition_top_n = np.concatenate((rel_t_partition[-top_n:], rel_t_partition[:top_n]))
@@ -95,16 +99,21 @@ def diffexp_ttest_from_mean_var(meanA, varA, nA, meanB, varB, nB, top_n, diffexp
pvals_adj_top_n = pvals_adj[sort_order]
# varIndex, logfoldchange, pval, pval_adj
result = {"positive": [[sort_order[i], logfoldchanges_top_n[i], pvals_top_n[i], pvals_adj_top_n[i]] for i in
range(top_n)],
"negative": [[sort_order[i], logfoldchanges_top_n[i], pvals_top_n[i], pvals_adj_top_n[i]] for i in
range(-1, -1 - top_n, -1)], }
result = {
"positive": [
[sort_order[i], logfoldchanges_top_n[i], pvals_top_n[i], pvals_adj_top_n[i]] for i in range(top_n)
],
"negative": [
[sort_order[i], logfoldchanges_top_n[i], pvals_top_n[i], pvals_adj_top_n[i]]
for i in range(-1, -1 - top_n, -1)
],
}
return result
# Convenience function which handles sparse data
def mean_var_n(X):
def mean_var_n(X, X_approx_distribution=XApproxDistribution.NORMAL):
"""
Two-pass variance calculation. Numerically (more) stable
than naive methods (and same method used by numpy.var())
@@ -122,16 +131,27 @@ def mean_var_n(X):
with np.errstate(divide="call", invalid="call", call=fp_err_set):
n = X.shape[0]
if sparse.issparse(X):
if X_approx_distribution == XApproxDistribution.COUNT:
X = X.log1p()
mean = X.mean(axis=0).A1
dfm = X - mean
sumsq = np.sum(np.multiply(dfm, dfm), axis=0).A1
v = sumsq / (n - 1)
else:
if X_approx_distribution == XApproxDistribution.COUNT:
X = np.log1p(X)
mean = X.mean(axis=0)
dfm = X - mean
sumsq = np.sum(np.multiply(dfm, dfm), axis=0)
v = sumsq / (n - 1)
# AnnData does not guarantee that operations on a view of X will
# return an ndarray, so force the cast if it wasn't done for us.
if type(mean) is not np.ndarray:
mean = mean.toarray()
if type(v) is not np.ndarray:
v = v.toarray()
if fp_err_occurred:
mean[np.isfinite(mean) == False] = 0 # noqa: E712
v[np.isfinite(v) == False] = 0 # noqa: E712