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N) namedtuple)product) assert_ assert_equalassert_almost_equalassert_array_almost_equalassert_array_equalassert_approx_equalassert_allclosesuppress_warningsassert_array_less)raises)arrayarangefloat32power)kolmogn)FuncData)binom)optimize)check_named_results)_broadcast_concatenateSmallSampleWarningtoo_small_nd_omittoo_small_nd_not_omittoo_small_1d_omittoo_small_1d_not_omit)_permutation_distribution_t _chk_asarray_momentLinregressResult_xp_mean_xp_var _SimpleChi2) AxisError)skip_xp_invalid_arg) array_namespace eager_warns is_lazy_arrayis_numpyis_torchxp_default_dtypexp_sizeSCIPY_ARRAY_APImake_xp_test_case)xp_assert_closexp_assert_equal) r ) rrrrrrrrr) iiiiiiiii) g~?g< ?gEk?g?ge (?gq?g?g8C?gG?) gmBg}BgyӅBgBg@0BgyӕBg BwBgBg ^B) -q=g-=gAfc=g-=gdy=gAfc=gYLɞ=g-=gSSʣ=) ??@ @@@@@!@c\rSrSr\R "\R 5Rr\ "\ R5S5r \ "\ R5\RR!S5S55r\ "\ R$5S5r\ "\ R(5S5r\"SSS 9S 5r\ "\ R05S 5r\"SSS 9S 5r\ "\ R(\ R05S 5r\"SSS9\ "\ R(\ R05S55r\ "\ R:5S5rSrg)TestTrimmedStatsNc j[U5nUR[US9n[R"USS5n[ XARS55 [R"USSS9n[R"USS9n[ XV5 UR URS5S 5n[R"USS 9n[ XARU55 [R"US S 9n[ XARUS S 95 [R"US S 9n[ XARUS S 95 [R"US SS9n[ XARS55 [R"USS S9n/SQn[ XARU55 [R"USSS S9n/SQn[ XARU55 [R"U5SSS24RURSS9n [R"U SS S9nSSSSURURUR/n[ XARU55 [R"USS S9nSSS S!URURURURUR/ n[ XARU55 [R"USS"S S9nSSS S!URURURURUR/ n[ XARU55 g)#Ndtyper3r9TT@)FFlimits inclusiverOO@r:r8axisrr)r3=)rOrUg?@)r3)'@r: TF)rOrPrU)%@rYr:rZr[r\r]T)copy)rr]r8r@rArBr5rZrWFT) r-asarrayXstatstmeanr1reshapermeanxpxatsetnan) selfxp default_dtypexyy1y2x_2dy_true x_2d_with_nans \/var/www/html/land-doc-ocr/venv/lib/python3.13/site-packages/scipy/stats/tests/test_stats.py test_tmeanTestTrimmedStats.test_tmeanRss(, JJq J . 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Something to note is that there are at least 3 R packages that come with a trimmed t-test method, and comparisons were made between them. It was found that PairedData's method's results match this method, SAS, and one of the other R methods. A notable discrepancy was the DescTools implementation of the function, which only sometimes agreed with SAS, WRS2, PairedData and this implementation. For this reason, most comparisons in R are made against PairedData's method. Rather than providing the input and output for all evaluations, here is a representative example: > library(PairedData) > a <- c(1, 2, 3) > b <- c(1.1, 2.9, 4.2) > options(digits=16) > yuen.t.test(a, b, tr=.2) Two-sample Yuen test, trim=0.2 data: x and y t = -0.68649512735573, df = 3.4104431643464, p-value = 0.5361949075313 alternative hypothesis: true difference in trimmed means is not equal to 0 95 percent confidence interval: -3.912777195645217 2.446110528978550 sample estimates: trimmed mean of x trimmed mean of y 2.000000000000000 2.73333333333333 FrF rrFrGNrgrr )rorMrYrMrrF r@r?s rytest_ttest_compare_r$Test_ttest_trim.test_ttest_compare_r}s.@"OOAtuM  E2/r|cp/SQn/SQn[R"XSSS9up4[USSS9 [US SS9 g) N) r\rXrrr,r\rXrrrro )rcr,rXr\rrrcr,rXr\rrp rg ףp= ?Frj gRbv?rrGgOi?rk rorMrYr@r?s rytest_compare_SAS Test_ttest_trim.test_compare_SASs= = D"OOAseL t4 8$7r|cn/SQn/SQn[R"XSS9up4[USSS9 [USSS9 g ) a^ The PairedData library only supports unequal variances. To compare samples with equal variances, the multicon library is used. > library(multicon) > a <- c(2.7, 2.7, 1.1, 3.0, 1.9, 3.0, 3.8, 3.8, 0.3, 1.9, 1.9) > b <- c(6.5, 5.4, 8.1, 3.5, 0.5, 3.8, 6.8, 4.9, 9.5, 6.2, 4.1) > dv = c(a,b) > iv = c(rep('a', length(a)), rep('b', length(b))) > yuenContrast(dv~ iv, EQVAR = TRUE) $Ms N M wgt a 11 2.442857142857143 1 b 11 5.385714285714286 -1 $test stat df crit p results -4.246116897032513 12 2.178812829667228 0.00113508833897713 re rg r5rF gR?rrGg^Nrk rq s rytest_equal_varTest_ttest_trim.test_equal_vars<& D C!OOAr:  3%@ #5EBr|z alt,pr,tr))rgjΜ>5?rh )rgn4aƂW?rh cn/SQn/SQn[R"XESSUS9upg[XrSS9 [XcSS9 g) z > library(PairedData) > a <- c(2.7,2.7,1.1,3.0,1.9,3.0,3.8,3.8,0.3,1.9,1.9) > b <- c(6.5,5.4,8.1,3.5,0.5,3.8,6.8,4.9,9.5,6.2,4.1) > options(digits=16) > yuen.t.test(a, b, alternative = 'greater') re rg r5F)rF rrrrGNrk )rorrMrrMrYr@r?s rytest_alternatives!Test_ttest_trim.test_alternativess= D C!OOArU8;= / E2r|c Sn[[US9 Sn[R"[US9 [ R "SS/SS/SSS9 SSS5 SSS5 [[US9 S n[R"[US9 [ R "SS/SS/SSSS 9 SSS5 SSS5 g!,(df  Nn=f!,(df  Nw=f!,(df  N9=f!,(df  g=f) Nz>Use of `permutations` is incompatible with with use of `trim`.rz5Arguments {'permutations'} are deprecated, whether...rr3r4r5)rF rz9Arguments {.*'random_state'.*} are deprecated, whether...)rF rr)rrrrdDeprecationWarningrgr)rorrs rytest_errors_unsupported'Test_ttest_trim.test_errors_unsupportedsP .e <MG0@AARaHA= .e <QG0@AARa-.0A= <A@= <A@= &'a@ ff\.IBGGDM@RRS+.( vD rzz)'<4H 2T: BJJv$6TB((-B BFFBJJsO$ ? 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