{"example":"Heatmap: Gene Expression","labtools_version":"0.14.3","generated":"2026-09-23","calls":[{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":2.077610702197007,"method":"t (Welch)","upper":3.0177226311363237},"df":9.994433690605897,"effect_size":{"ci":{"conf_level":0.95,"lower":3.4547422490777753,"upper":9.384421998971252},"cohens_d":6.972803847542154,"estimate":6.436434320808142,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":1.708691024694435,"iqr":0.23650000000000126,"max":8.593,"mean":8.127166666666666,"median":8.193999999999999,"min":7.51,"n":6,"n_missing":0,"name":"a","q1":8.03225,"q3":8.26875,"range":1.0830000000000002,"sd":0.36103485519637396,"sem":0.147391862431788,"skewness":-0.8378949935825609,"sum":48.763,"variance":0.1303461666666667},{"excess_kurtosis":1.829162348883246,"iqr":0.2522500000000001,"max":6.227,"mean":5.5795,"median":5.585,"min":5.151,"n":6,"n_missing":0,"name":"b","q1":5.3685,"q3":5.62075,"range":1.0760000000000005,"sd":0.36965808526258437,"sem":0.150912281364595,"skewness":1.0174293962547076,"sum":33.477000000000004,"variance":0.1366471000000001}],"mean_difference":2.5476666666666654,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":2.7648421196375713e-07,"p_value":2.7648421196375713e-07,"significant":true,"source":{"kind":"arrays"},"statistic":12.077250535154763,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":0.5288078117213407,"method":"t (Welch)","upper":1.6041921882786618},"df":5.6360929381957545,"effect_size":{"ci":{"conf_level":0.95,"lower":1.0558690193306308,"upper":4.141014459542336},"cohens_d":2.8465541887493813,"estimate":2.6275884819225057,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":1.978656302104035,"iqr":0.4532500000000006,"max":11.085,"mean":10.152500000000002,"median":9.9605,"min":9.697,"n":6,"n_missing":0,"name":"a","q1":9.843,"q3":10.29625,"range":1.3880000000000017,"sd":0.5137033190470939,"sem":0.2097185018065885,"skewness":1.4858971337267413,"sum":60.915000000000006,"variance":0.2638911000000003},{"excess_kurtosis":-2.5794885347275245,"iqr":0.22250000000000014,"max":9.229,"mean":9.086,"median":9.0825,"min":8.935,"n":6,"n_missing":0,"name":"b","q1":8.9795,"q3":9.202,"range":0.2939999999999987,"sd":0.12982449691795422,"sem":0.05300062892708587,"skewness":0.012646233235179149,"sum":54.516000000000005,"variance":0.016854399999999905}],"mean_difference":1.0665000000000013,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.0031334276673144488,"p_value":0.0031334276673144488,"significant":true,"source":{"kind":"arrays"},"statistic":4.930376481411936,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":0.16353674883976888,"method":"t (Welch)","upper":1.86212991782689},"df":9.973802266317247,"effect_size":{"ci":{"conf_level":0.95,"lower":0.17982753240525107,"upper":2.601631561944283},"cohens_d":1.5346695651374784,"estimate":1.4166180601269032,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":0.49281481049795506,"iqr":0.5315000000000012,"max":12.433,"mean":11.386666666666665,"median":11.192499999999999,"min":10.589,"n":6,"n_missing":0,"name":"a","q1":11.124749999999999,"q3":11.65625,"range":1.8439999999999994,"sd":0.6428339339725825,"sem":0.2624358545964666,"skewness":0.7638850956964761,"sum":68.32,"variance":0.4132354666666666},{"excess_kurtosis":-0.906727558669238,"iqr":0.7322499999999987,"max":11.388,"mean":10.373833333333335,"median":10.104,"min":9.602,"n":6,"n_missing":0,"name":"b","q1":10.05175,"q3":10.783999999999999,"range":1.7859999999999996,"sd":0.6766690229844029,"sem":0.27624897184323494,"skewness":0.7383613977478315,"sum":62.24300000000001,"variance":0.45788096666666644}],"mean_difference":1.0128333333333295,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.024026457290631607,"p_value":0.024026457290631607,"significant":true,"source":{"kind":"arrays"},"statistic":2.658125659647747,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.1470161278637092,"method":"t (Welch)","upper":2.0786505388029597},"df":9.982537215854872,"effect_size":{"ci":{"conf_level":0.95,"lower":2.02862715101217,"upper":6.146880856333879},"cohens_d":4.455111508824947,"estimate":4.112410623530721,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-0.3621300558778815,"iqr":0.3332500000000005,"max":7.594,"mean":7.153000000000001,"median":7.2785,"min":6.611,"n":6,"n_missing":0,"name":"a","q1":6.9615,"q3":7.2947500000000005,"range":0.9830000000000005,"sd":0.3543670413568398,"sem":0.1446697388306669,"skewness":-0.6208489829389713,"sum":42.918000000000006,"variance":0.1255760000000002},{"excess_kurtosis":-0.23443065003215846,"iqr":0.44700000000000006,"max":6.125,"mean":5.540166666666667,"median":5.497999999999999,"min":5.134,"n":6,"n_missing":0,"name":"b","q1":5.27075,"q3":5.71775,"range":0.9909999999999997,"sd":0.3695117950305059,"sem":0.1508525586274374,"skewness":0.64791718692671,"sum":33.241,"variance":0.1365389666666666}],"mean_difference":1.6128333333333345,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":1.6293662424919837e-05,"p_value":1.6293662424919837e-05,"significant":true,"source":{"kind":"arrays"},"statistic":7.716479486669649,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.2843600113185707,"method":"t (Welch)","upper":2.3499733220147636},"df":7.627587302661562,"effect_size":{"ci":{"conf_level":0.95,"lower":2.1011878206109915,"upper":6.304989172392928},"cohens_d":4.579598999044499,"estimate":4.227322152964153,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.1052266972852127,"iqr":0.35599999999999987,"max":7.672,"mean":7.400666666666667,"median":7.4190000000000005,"min":7.0,"n":6,"n_missing":0,"name":"a","q1":7.2620000000000005,"q3":7.618,"range":0.6719999999999997,"sd":0.2638913918009958,"sem":0.10773320957088602,"skewness":-0.519312408757427,"sum":44.404,"variance":0.06963866666666667},{"excess_kurtosis":-1.5643186615037052,"iqr":0.7437499999999995,"max":6.241,"mean":5.5835,"median":5.576499999999999,"min":5.009,"n":6,"n_missing":0,"name":"b","q1":5.184,"q3":5.92775,"range":1.2319999999999993,"sd":0.49523277355199324,"sem":0.20217793318427865,"skewness":0.11685985594943125,"sum":33.501,"variance":0.2452554999999998}],"mean_difference":1.817166666666667,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":6.048084781362505e-05,"p_value":6.048084781362505e-05,"significant":true,"source":{"kind":"arrays"},"statistic":7.9320981446366465,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.2088883816946374,"method":"t (Welch)","upper":2.177111618305362},"df":8.42303721435685,"effect_size":{"ci":{"conf_level":0.95,"lower":2.122110250554232,"upper":6.350750719291497},"cohens_d":4.615587010757499,"estimate":4.2605418560838455,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-0.9287228543830768,"iqr":0.36300000000000043,"max":8.427,"mean":8.132666666666667,"median":8.195,"min":7.715,"n":6,"n_missing":0,"name":"a","q1":7.96625,"q3":8.32925,"range":0.7119999999999997,"sd":0.2762742598699102,"sem":0.11278849429105989,"skewness":-0.6688969914238108,"sum":48.796,"variance":0.07632746666666669},{"excess_kurtosis":-1.6844643829992565,"iqr":0.6440000000000001,"max":7.046,"mean":6.4396666666666675,"median":6.2844999999999995,"min":6.012,"n":6,"n_missing":0,"name":"b","q1":6.1282499999999995,"q3":6.77225,"range":1.0340000000000007,"sd":0.4390419873618772,"sem":0.17923814078234335,"skewness":0.7354022788355294,"sum":38.638000000000005,"variance":0.19275786666666678}],"mean_difference":1.6929999999999996,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":3.2722462164966477e-05,"p_value":3.2722462164966477e-05,"significant":true,"source":{"kind":"arrays"},"statistic":7.994431209386947,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.003201251648634,"method":"t (Welch)","upper":1.7527987483513645},"df":8.348963890221361,"effect_size":{"ci":{"conf_level":0.95,"lower":2.2633649358386303,"upper":6.661617184851112},"cohens_d":4.8595905359340055,"estimate":4.485775879323698,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-0.27969838586539275,"iqr":0.26399999999999935,"max":8.677,"mean":8.343833333333333,"median":8.3255,"min":8.124,"n":6,"n_missing":0,"name":"a","q1":8.1785,"q3":8.442499999999999,"range":0.552999999999999,"sd":0.21130775344664132,"sem":0.08626602910635078,"skewness":0.613761817314154,"sum":50.062999999999995,"variance":0.044650966666666556},{"excess_kurtosis":1.3759407757302764,"iqr":0.2755000000000001,"max":7.348,"mean":6.965833333333333,"median":7.072,"min":6.373,"n":6,"n_missing":0,"name":"b","q1":6.854,"q3":7.1295,"range":0.9749999999999996,"sd":0.34082982068279555,"sem":0.13914319163285627,"skewness":-1.1266515460854383,"sum":41.795,"variance":0.11616496666666656}],"mean_difference":1.3779999999999992,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":2.3374630617802135e-05,"p_value":2.3374630617802135e-05,"significant":true,"source":{"kind":"arrays"},"statistic":8.417057712218568,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.042095307233264,"method":"t (Welch)","upper":2.2349046927667353},"df":8.402524739837192,"effect_size":{"ci":{"conf_level":0.95,"lower":1.5375259204398461,"upper":5.10450096617098},"cohens_d":3.627396370966535,"estimate":3.348365880892186,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.8751001211990834,"iqr":0.5177499999999995,"max":8.236,"mean":7.786999999999999,"median":7.677,"min":7.431,"n":6,"n_missing":0,"name":"a","q1":7.5482499999999995,"q3":8.065999999999999,"range":0.8050000000000006,"sd":0.3392196928245765,"sem":0.1384858596873101,"skewness":0.5791064809667313,"sum":46.721999999999994,"variance":0.11507000000000003},{"excess_kurtosis":-1.597878784525463,"iqr":0.8332499999999996,"max":6.923,"mean":6.148499999999999,"median":5.987,"min":5.645,"n":6,"n_missing":0,"name":"b","q1":5.711,"q3":6.54425,"range":1.2780000000000005,"sd":0.5412931737977119,"sem":0.2209820128426746,"skewness":0.6667461242810279,"sum":36.891,"variance":0.2929983}],"mean_difference":1.6384999999999996,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.00019286671726644815,"p_value":0.00019286671726644815,"significant":true,"source":{"kind":"arrays"},"statistic":6.282834813705001,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.7618240026146763,"method":"t (Welch)","upper":3.275509330718662},"df":9.381313445858837,"effect_size":{"ci":{"conf_level":0.95,"lower":1.9492921352897468,"upper":5.975111673893552},"cohens_d":4.3195941590057325,"estimate":3.987317685236061,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.9128672669625324,"iqr":0.7800000000000011,"max":10.351,"mean":9.753333333333336,"median":9.626999999999999,"min":9.157,"n":6,"n_missing":0,"name":"a","q1":9.425999999999998,"q3":10.206,"range":1.1940000000000008,"sd":0.5026655614488296,"sem":0.20521235613654257,"skewness":0.33611926992320046,"sum":58.52000000000001,"variance":0.25267266666666705},{"excess_kurtosis":2.33081034512303,"iqr":0.43624999999999936,"max":7.937,"mean":7.234666666666667,"median":7.351,"min":6.05,"n":6,"n_missing":0,"name":"b","q1":7.1392500000000005,"q3":7.5755,"range":1.8870000000000005,"sd":0.6536747407286493,"sem":0.26686159542188,"skewness":-1.3353232218470055,"sum":43.408,"variance":0.4272906666666668}],"mean_difference":2.518666666666669,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":3.0012545347182255e-05,"p_value":3.0012545347182255e-05,"significant":true,"source":{"kind":"arrays"},"statistic":7.4817565514756845,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":1.042004342457672,"method":"t (Welch)","upper":2.270328990875661},"df":8.804447873376695,"effect_size":{"ci":{"conf_level":0.95,"lower":1.480942484750222,"upper":4.987945848338414},"cohens_d":3.533908966833087,"estimate":3.2620698155382346,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-0.6379114672992436,"iqr":0.43099999999999916,"max":9.674,"mean":9.126166666666666,"median":9.0515,"min":8.649,"n":6,"n_missing":0,"name":"a","q1":8.9215,"q3":9.3525,"range":1.0250000000000004,"sd":0.3724231016823027,"sem":0.1520410945910495,"skewness":0.4134348225569081,"sum":54.757,"variance":0.13869896666666678},{"excess_kurtosis":-2.392239478567947,"iqr":0.8955000000000002,"max":8.104,"mean":7.47,"median":7.562,"min":6.836,"n":6,"n_missing":0,"name":"b","q1":6.97625,"q3":7.8717500000000005,"range":1.267999999999999,"sd":0.5482397285859533,"sem":0.22381793195958768,"skewness":-0.1743455036538292,"sum":44.82,"variance":0.30056679999999975}],"mean_difference":1.6561666666666666,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.0001913503650949494,"p_value":0.0001913503650949494,"significant":true,"source":{"kind":"arrays"},"statistic":6.120909879878145,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.7955894201342806,"method":"t (Welch)","upper":-0.4904105798657208},"df":9.012520903761583,"effect_size":{"ci":{"conf_level":0.95,"lower":-3.4688436579660973,"upper":-0.6949965159252515},"cohens_d":-2.287053812240194,"estimate":-2.1111265959140253,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":0.9766640939384423,"iqr":0.36875000000000036,"max":5.229,"mean":4.539666666666666,"median":4.508,"min":4.054,"n":6,"n_missing":0,"name":"a","q1":4.29475,"q3":4.6635,"range":1.1749999999999998,"sd":0.4087706773567139,"sem":0.16687993022263378,"skewness":0.8415833826751624,"sum":27.238,"variance":0.1670934666666667},{"excess_kurtosis":1.5161285542538332,"iqr":0.3959999999999999,"max":6.645,"mean":5.682666666666667,"median":5.6455,"min":4.909,"n":6,"n_missing":0,"name":"b","q1":5.4325,"q3":5.8285,"range":1.7359999999999998,"sd":0.576581188269845,"sem":0.23538828442478696,"skewness":0.6352187748839767,"sum":34.096000000000004,"variance":0.3324458666666664}],"mean_difference":-1.1430000000000007,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.003288749029211233,"p_value":0.003288749029211233,"significant":true,"source":{"kind":"arrays"},"statistic":-3.9612934024441078,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-2.442058462403855,"method":"t (Welch)","upper":-0.919274870929481},"df":8.443676019172544,"effect_size":{"ci":{"conf_level":0.95,"lower":-4.2209671242411915,"upper":-1.0972140416828975},"cohens_d":-2.9121556843148606,"estimate":-2.688143708598333,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":0.8858356213027774,"iqr":0.6887499999999998,"max":7.721,"mean":6.535833333333334,"median":6.394,"min":5.823,"n":6,"n_missing":0,"name":"a","q1":6.08525,"q3":6.774,"range":1.8979999999999997,"sd":0.6899731637293341,"sem":0.28168036455844375,"skewness":1.0602095134185872,"sum":39.215,"variance":0.4760629666666666},{"excess_kurtosis":-1.017226377267069,"iqr":0.5362500000000008,"max":8.865,"mean":8.216500000000002,"median":8.07,"min":7.723,"n":6,"n_missing":0,"name":"b","q1":7.9635,"q3":8.49975,"range":1.1420000000000003,"sd":0.43597557271021525,"sem":0.177986282242949,"skewness":0.6866817140973983,"sum":49.29900000000001,"variance":0.1900747000000002}],"mean_difference":-1.680666666666668,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.0008457954670176043,"p_value":0.0008457954670176043,"significant":true,"source":{"kind":"arrays"},"statistic":-5.044001604783851,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.851444072540728,"method":"t (Welch)","upper":-0.679555927459271},"df":8.559007895068001,"effect_size":{"ci":{"conf_level":0.95,"lower":-4.136790649930899,"upper":-1.053676628020875},"cohens_d":-2.8430836763445364,"estimate":-2.6243849320103414,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":0.8005892686611693,"iqr":0.2742500000000003,"max":8.797,"mean":8.293166666666666,"median":8.2745,"min":7.777,"n":6,"n_missing":0,"name":"a","q1":8.17,"q3":8.44425,"range":1.0200000000000005,"sd":0.34180779199232253,"sem":0.13954244674809338,"skewness":-0.03886943421510526,"sum":49.759,"variance":0.11683256666666683},{"excess_kurtosis":-0.3967445739261857,"iqr":0.6559999999999988,"max":10.41,"mean":9.558666666666666,"median":9.434000000000001,"min":9.034,"n":6,"n_missing":0,"name":"b","q1":9.1705,"q3":9.8265,"range":1.3759999999999994,"sd":0.5286044519928549,"sem":0.21580186385767017,"skewness":0.8141281432450262,"sum":57.352,"variance":0.2794226666666664}],"mean_difference":-1.2654999999999994,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.0009500048645685207,"p_value":0.0009500048645685207,"significant":true,"source":{"kind":"arrays"},"statistic":-4.924365377598447,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.9493997496103859,"method":"t (Welch)","upper":-0.6189335837229492},"df":9.981992542095915,"effect_size":{"ci":{"conf_level":0.95,"lower":-3.7031725769806005,"upper":-0.8237787057342195},"cohens_d":-2.4839073098560718,"estimate":-2.2928375167902204,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":1.5272057602063072,"iqr":0.4394999999999998,"max":4.927,"mean":4.331666666666666,"median":4.3805,"min":3.411,"n":6,"n_missing":0,"name":"a","q1":4.2095,"q3":4.649,"range":1.5159999999999996,"sd":0.5278597035829374,"sem":0.2154978215924957,"skewness":-1.0585976944097557,"sum":25.99,"variance":0.27863586666666657},{"excess_kurtosis":0.8717228993908259,"iqr":0.37849999999999984,"max":6.418,"mean":5.615833333333334,"median":5.5120000000000005,"min":4.913,"n":6,"n_missing":0,"name":"b","q1":5.44125,"q3":5.81975,"range":1.505,"sd":0.5058962014748347,"sem":0.2065312594042633,"skewness":0.42046310357197264,"sum":33.695,"variance":0.2559309666666666}],"mean_difference":-1.2841666666666676,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.001562372118616897,"p_value":0.001562372118616897,"significant":true,"source":{"kind":"arrays"},"statistic":-4.302253661962447,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-2.2019573666783705,"method":"t (Welch)","upper":-0.8183759666549661},"df":9.185437422061982,"effect_size":{"ci":{"conf_level":0.95,"lower":-4.135896791705364,"upper":-1.0532125591390515},"cohens_d":-2.842349170064784,"estimate":-2.623706926213647,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":2.242681002342854,"iqr":0.2944999999999993,"max":7.619,"mean":6.812166666666666,"median":6.6690000000000005,"min":6.342,"n":6,"n_missing":0,"name":"a","q1":6.610250000000001,"q3":6.90475,"range":1.2770000000000001,"sd":0.44522597258770363,"sem":0.18176274217904076,"skewness":1.392310090630199,"sum":40.873,"variance":0.19822616666666665},{"excess_kurtosis":-1.8789680124457249,"iqr":0.9562499999999998,"max":9.016,"mean":8.322333333333335,"median":8.394,"min":7.545,"n":6,"n_missing":0,"name":"b","q1":7.8397499999999996,"q3":8.796,"range":1.471,"sd":0.6052710687507431,"sem":0.2471008790847262,"skewness":-0.25183613362098195,"sum":49.934000000000005,"variance":0.36635306666666684}],"mean_difference":-1.5101666666666684,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.0007733034585131206,"p_value":0.0007733034585131206,"significant":true,"source":{"kind":"arrays"},"statistic":-4.923093175403437,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.993540273128332,"method":"t (Welch)","upper":-1.2334597268716683},"df":9.254358283897469,"effect_size":{"ci":{"conf_level":0.95,"lower":-7.509854799840716,"upper":-2.6421317314749926},"cohens_d":-5.521853978230698,"estimate":-5.09709597990526,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.4544865105358316,"iqr":0.4637500000000001,"max":5.958,"mean":5.4975,"median":5.447,"min":5.1,"n":6,"n_missing":0,"name":"a","q1":5.26725,"q3":5.731,"range":0.8580000000000005,"sd":0.33108654457709413,"sem":0.13516551581918626,"skewness":0.33199765343434123,"sum":32.985,"variance":0.10961830000000013},{"excess_kurtosis":-1.370439279854903,"iqr":0.3302499999999995,"max":7.408,"mean":7.111,"median":7.173,"min":6.765,"n":6,"n_missing":0,"name":"b","q1":6.93325,"q3":7.2635,"range":0.6430000000000007,"sd":0.2472779812276056,"sem":0.10095081310552521,"skewness":-0.4298562124136625,"sum":42.666,"variance":0.061146400000000066}],"mean_difference":-1.6135000000000002,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":4.233439135691907e-06,"p_value":4.233439135691907e-06,"significant":true,"source":{"kind":"arrays"},"statistic":-9.564131642271898,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.7064789055595901,"method":"t (Welch)","upper":-0.9381877611070775},"df":9.970949898670106,"effect_size":{"ci":{"conf_level":0.95,"lower":-6.114953226259131,"upper":-2.013921582950488},"cohens_d":-4.4299444017097125,"estimate":-4.089179447732042,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.6970517046652702,"iqr":0.44924999999999926,"max":4.9,"mean":4.519833333333334,"median":4.4955,"min":4.192,"n":6,"n_missing":0,"name":"a","q1":4.287750000000001,"q3":4.737,"range":0.7080000000000002,"sd":0.2903311327892113,"sem":0.11852718862963232,"skewness":0.22795401640711763,"sum":27.119000000000003,"variance":0.08429216666666665},{"excess_kurtosis":-2.1264045314455045,"iqr":0.5052500000000002,"max":6.157,"mean":5.842166666666667,"median":5.9115,"min":5.449,"n":6,"n_missing":0,"name":"b","q1":5.58425,"q3":6.0895,"range":0.7080000000000002,"sd":0.3064489625805034,"sem":0.12510726508791487,"skewness":-0.4187260967753185,"sum":35.053000000000004,"variance":0.09391096666666678}],"mean_difference":-1.3223333333333338,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":1.7228117468145784e-05,"p_value":1.7228117468145784e-05,"significant":true,"source":{"kind":"arrays"},"statistic":-7.672888778466533,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.915349834760582,"method":"t (Welch)","upper":-0.6079834985727478},"df":9.998449476096892,"effect_size":{"ci":{"conf_level":0.95,"lower":-3.7020276258420726,"upper":-0.8231578942308735},"cohens_d":-2.4829506055814754,"estimate":-2.2919544051521314,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"very large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.8889343688037021,"iqr":0.7762500000000001,"max":8.427,"mean":8.035,"median":8.310500000000001,"min":7.378,"n":6,"n_missing":0,"name":"a","q1":7.6085,"q3":8.38475,"range":1.0489999999999995,"sd":0.5049582160931734,"sem":0.20614832847571998,"skewness":-0.9016860412979232,"sum":48.21,"variance":0.25498279999999995},{"excess_kurtosis":2.162557748316827,"iqr":0.3185000000000002,"max":9.89,"mean":9.296666666666665,"median":9.3035,"min":8.388,"n":6,"n_missing":0,"name":"b","q1":9.25225,"q3":9.57075,"range":1.5020000000000007,"sd":0.5112860908206548,"sem":0.20873167251548375,"skewness":-1.1163801102052837,"sum":55.779999999999994,"variance":0.26141346666666687}],"mean_difference":-1.261666666666665,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.0015605308525713797,"p_value":0.0015605308525713797,"significant":true,"source":{"kind":"arrays"},"statistic":-4.300596601551027,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.14700289597586014,"method":"t (Welch)","upper":1.0740028959758599},"df":9.828720055979769,"effect_size":{"ci":{"conf_level":0.95,"lower":-0.2311096818758443,"upper":1.9994096389942482},"cohens_d":0.9789724487691694,"estimate":0.9036668757869257,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.2003518100436326,"iqr":0.6644999999999994,"max":6.835,"mean":6.158666666666666,"median":6.2170000000000005,"min":5.493,"n":6,"n_missing":0,"name":"a","q1":5.7932500000000005,"q3":6.45775,"range":1.3419999999999996,"sd":0.5037374977770332,"sem":0.20564997231001783,"skewness":-0.09212432141636834,"sum":36.952,"variance":0.25375146666666654},{"excess_kurtosis":0.9269972669548476,"iqr":0.42375000000000007,"max":6.461,"mean":5.695166666666666,"median":5.519,"min":5.275,"n":6,"n_missing":0,"name":"b","q1":5.44175,"q3":5.8655,"range":1.186,"sd":0.44109972417432625,"sem":0.18007820831825022,"skewness":1.27106758674902,"sum":34.171,"variance":0.19456896666666668}],"mean_difference":0.4634999999999998,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.12134458871332364,"p_value":0.12134458871332364,"significant":false,"source":{"kind":"arrays"},"statistic":1.6956300204783215,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.7393993536741248,"method":"t (Welch)","upper":0.7480660203407914},"df":9.511065088995831,"effect_size":{"ci":{"conf_level":0.95,"lower":-1.0377495450492644,"upper":1.051340502743529},"cohens_d":0.007547820382769496,"estimate":0.006967218814864151,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"negligible","name":"hedges_g"},"groups":[{"excess_kurtosis":-0.8829872892873185,"iqr":0.7970000000000006,"max":11.255,"mean":10.409333333333334,"median":10.369499999999999,"min":9.527,"n":6,"n_missing":0,"name":"a","q1":10.0445,"q3":10.8415,"range":1.7280000000000015,"sd":0.6358800725503726,"sem":0.25959695255872683,"skewness":0.004107070508393986,"sum":62.456,"variance":0.40434346666666715},{"excess_kurtosis":0.6045654607130402,"iqr":0.4822500000000005,"max":10.995,"mean":10.405000000000001,"median":10.3675,"min":9.576,"n":6,"n_missing":0,"name":"b","q1":10.27225,"q3":10.7545,"range":1.4189999999999987,"sd":0.5048540383120648,"sem":0.20610579807467808,"skewness":-0.6422922380734927,"sum":62.43000000000001,"variance":0.25487759999999976}],"mean_difference":0.0043333333333333,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.9898395292410404,"p_value":0.9898395292410404,"significant":false,"source":{"kind":"arrays"},"statistic":0.01307320838936074,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.18218090081127103,"method":"t (Welch)","upper":0.8145142341446062},"df":8.102448815934066,"effect_size":{"ci":{"conf_level":0.95,"lower":-0.336778419660894,"upper":1.8580100219466331},"cohens_d":0.8428070561992936,"estimate":0.7779757441839634,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"medium","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.334830171999518,"iqr":0.6657499999999992,"max":10.079,"mean":9.674000000000001,"median":9.8385,"min":8.996,"n":6,"n_missing":0,"name":"a","q1":9.36125,"q3":10.027,"range":1.0830000000000002,"sd":0.4569783364668394,"sem":0.1865606246416072,"skewness":-0.8238264366078726,"sum":58.044000000000004,"variance":0.20882919999999988},{"excess_kurtosis":0.8263855098876398,"iqr":0.20399999999999885,"max":9.761,"mean":9.357833333333334,"median":9.389,"min":8.956,"n":6,"n_missing":0,"name":"b","q1":9.23975,"q3":9.44375,"range":0.8049999999999997,"sd":0.2694879712838155,"sem":0.1100180035771923,"skewness":-0.04072814042355442,"sum":56.147,"variance":0.07262376666666658}],"mean_difference":0.3161666666666676,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.18200596864288543,"p_value":0.18200596864288543,"significant":false,"source":{"kind":"arrays"},"statistic":1.4597846423147347,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.8871241427971658,"method":"t (Welch)","upper":0.39445747613049564},"df":6.15351528743644,"effect_size":{"ci":{"conf_level":0.95,"lower":-1.553052282887817,"upper":0.5800286996397891},"cohens_d":-0.53981363752655,"estimate":-0.49828951156296925,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"small","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.137542125895953,"iqr":0.7992499999999998,"max":7.92,"mean":7.195833333333333,"median":7.335,"min":6.312,"n":6,"n_missing":0,"name":"a","q1":6.7865,"q3":7.58575,"range":1.6079999999999997,"sd":0.6106348881833289,"sem":0.2492906491984362,"skewness":-0.49655281688378383,"sum":43.175,"variance":0.37287496666666653},{"excess_kurtosis":1.9259688395904693,"iqr":0.11450000000000049,"max":7.707,"mean":7.442166666666668,"median":7.4935,"min":7.08,"n":6,"n_missing":0,"name":"b","q1":7.39575,"q3":7.51025,"range":0.6269999999999998,"sd":0.2088055714454637,"sem":0.08524451758194057,"skewness":-0.9473238700157659,"sum":44.653000000000006,"variance":0.04359976666666664}],"mean_difference":-0.24633333333333507,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.38501972363941706,"p_value":0.38501972363941706,"significant":false,"source":{"kind":"arrays"},"statistic":-0.934984646814554,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.7177258995182962,"method":"t (Welch)","upper":0.21772589951829974},"df":7.579663793379045,"effect_size":{"ci":{"conf_level":0.95,"lower":-1.7312955121398792,"upper":0.435134316603851},"cohens_d":-0.7185478567607934,"estimate":-0.6632749447022708,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"medium","name":"hedges_g"},"groups":[{"excess_kurtosis":3.3795187280524193,"iqr":0.05799999999999983,"max":7.941,"mean":7.670333333333335,"median":7.7145,"min":7.245,"n":6,"n_missing":0,"name":"a","q1":7.67725,"q3":7.73525,"range":0.6959999999999997,"sd":0.22944948608934962,"sem":0.0936723604437889,"skewness":-1.4050742317320297,"sum":46.022000000000006,"variance":0.052647066666666645},{"excess_kurtosis":-0.8994825385800516,"iqr":0.6114999999999995,"max":8.283,"mean":7.920333333333333,"median":8.0765,"min":7.239,"n":6,"n_missing":0,"name":"b","q1":7.656000000000001,"q3":8.2675,"range":1.0439999999999996,"sd":0.4352643641129682,"sem":0.17769593254895968,"skewness":-0.8507467201642492,"sum":47.522,"variance":0.18945506666666656}],"mean_difference":-0.24999999999999822,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.2503967426398991,"p_value":0.2503967426398991,"significant":false,"source":{"kind":"arrays"},"statistic":-1.2445613955794181,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-1.0220477565254285,"method":"t (Welch)","upper":0.1833810898587671},"df":7.028135668618897,"effect_size":{"ci":{"conf_level":0.95,"lower":-1.968131846355856,"upper":0.2541339961193747},"cohens_d":-0.9490672181372442,"estimate":-0.8760620475113023,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"large","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.3503602998771065,"iqr":0.363999999999999,"max":9.794,"mean":9.408166666666668,"median":9.31,"min":9.157,"n":6,"n_missing":0,"name":"a","q1":9.22475,"q3":9.58875,"range":0.6370000000000005,"sd":0.2612932579816528,"sem":0.1066725258807429,"skewness":0.8151198133372863,"sum":56.449000000000005,"variance":0.06827416666666657},{"excess_kurtosis":-0.49356158586514454,"iqr":0.67075,"max":10.468,"mean":9.827499999999999,"median":9.9835,"min":8.94,"n":6,"n_missing":0,"name":"b","q1":9.50675,"q3":10.1775,"range":1.5280000000000005,"sd":0.5675969520707456,"sem":0.2317204853553811,"skewness":-0.741858464458678,"sum":58.964999999999996,"variance":0.3221663000000003}],"mean_difference":-0.41933333333333067,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.14403894890604405,"p_value":0.14403894890604405,"significant":false,"source":{"kind":"arrays"},"statistic":-1.6438326416117617,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.5687054866056588,"method":"t (Welch)","upper":0.8707054866056584},"df":9.984171728418037,"effect_size":{"ci":{"conf_level":0.95,"lower":-0.8069708607524453,"upper":1.2932010042042752},"cohens_d":0.26995855292310456,"estimate":0.24919251039055806,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"small","name":"hedges_g"},"groups":[{"excess_kurtosis":0.31843126517693054,"iqr":0.5442500000000008,"max":6.294,"mean":5.604166666666667,"median":5.612,"min":4.732,"n":6,"n_missing":0,"name":"a","q1":5.3965,"q3":5.94075,"range":1.5619999999999994,"sd":0.548096493937579,"sem":0.2237594566592537,"skewness":-0.4946527666836267,"sum":33.625,"variance":0.3004097666666666},{"excess_kurtosis":-1.2483318605397553,"iqr":0.7622500000000008,"max":6.093,"mean":5.453166666666667,"median":5.5535,"min":4.609,"n":6,"n_missing":0,"name":"b","q1":5.0985,"q3":5.86075,"range":1.484,"sd":0.5703719546635043,"sem":0.23285337541990764,"skewness":-0.4834665534362043,"sum":32.719,"variance":0.32532416666666664}],"mean_difference":0.1509999999999998,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.6501224110400394,"p_value":0.6501224110400394,"significant":false,"source":{"kind":"arrays"},"statistic":0.4675819296005888,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.8074850030152982,"method":"t (Welch)","upper":0.2958183363486333},"df":9.423388756906906,"effect_size":{"ci":{"conf_level":0.95,"lower":-1.6140963415605998,"upper":0.5294926054320624},"cohens_d":-0.6015724340315236,"estimate":-0.5552976314137141,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"medium","name":"hedges_g"},"groups":[{"excess_kurtosis":-1.7251504306356473,"iqr":0.5512499999999996,"max":7.454,"mean":6.921500000000001,"median":6.8155,"min":6.574,"n":6,"n_missing":0,"name":"a","q1":6.6295,"q3":7.18075,"range":0.8799999999999999,"sd":0.36894484682673107,"sem":0.15062110299246476,"skewness":0.5619577869385,"sum":41.529,"variance":0.13612030000000006},{"excess_kurtosis":-1.9675604045017083,"iqr":0.7822500000000003,"max":7.731,"mean":7.177333333333333,"median":7.196,"min":6.606,"n":6,"n_missing":0,"name":"b","q1":6.7835,"q3":7.56575,"range":1.125,"sd":0.4749697534229593,"sem":0.19390558985696568,"skewness":-0.08183614407963914,"sum":43.064,"variance":0.22559626666666674}],"mean_difference":-0.25583333333333247,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.3234265140115423,"p_value":0.3234265140115423,"significant":false,"source":{"kind":"arrays"},"statistic":-1.0419540201754758,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.28448611430581106,"method":"t (Welch)","upper":0.866152780972478},"df":9.997055877823557,"effect_size":{"ci":{"conf_level":0.95,"lower":-0.48994837834836136,"upper":1.6626982462579853},"cohens_d":0.6503304468122774,"estimate":0.6003050278267176,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"medium","name":"hedges_g"},"groups":[{"excess_kurtosis":1.3562757025973964,"iqr":0.29049999999999976,"max":10.847,"mean":10.240833333333333,"median":10.324,"min":9.512,"n":6,"n_missing":0,"name":"a","q1":10.1,"q3":10.3905,"range":1.334999999999999,"sd":0.44335467367184306,"sem":0.1809987875956938,"skewness":-0.5759627147417402,"sum":61.445,"variance":0.19656336666666643},{"excess_kurtosis":-1.7890493667770624,"iqr":0.7142499999999998,"max":10.521,"mean":9.95,"median":9.9115,"min":9.44,"n":6,"n_missing":0,"name":"b","q1":9.58925,"q3":10.3035,"range":1.0810000000000013,"sd":0.45102948905808843,"sem":0.18413201785675423,"skewness":0.20605165262160224,"sum":59.699999999999996,"variance":0.2034276000000003}],"mean_difference":0.2908333333333335,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.2863062548524251,"p_value":0.2863062548524251,"significant":false,"source":{"kind":"arrays"},"statistic":1.1264053755878336,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.3855529736005839,"method":"t (Welch)","upper":0.46855297360058407},"df":9.957152565891906,"effect_size":{"ci":{"conf_level":0.95,"lower":-0.9331112065079941,"upper":1.1583561000819242},"cohens_d":0.12508388151936725,"estimate":0.11546204447941594,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"negligible","name":"hedges_g"},"groups":[{"excess_kurtosis":0.6518051647126937,"iqr":0.36850000000000005,"max":8.439,"mean":7.890833333333334,"median":7.816,"min":7.596,"n":6,"n_missing":0,"name":"a","q1":7.649,"q3":8.0175,"range":0.843,"sd":0.3207107211595314,"sem":0.13092960364681136,"skewness":1.0860102524624704,"sum":47.345000000000006,"variance":0.10285536666666673},{"excess_kurtosis":-1.7648486861763795,"iqr":0.5357500000000011,"max":8.295,"mean":7.849333333333334,"median":7.7940000000000005,"min":7.478,"n":6,"n_missing":0,"name":"b","q1":7.58125,"q3":8.117,"range":0.8170000000000002,"sd":0.34248659341157683,"sem":0.13981956626706837,"skewness":0.3724290393952099,"sum":47.096000000000004,"variance":0.11729706666666673}],"mean_difference":0.04150000000000009,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.8328542048418808,"p_value":0.8328542048418808,"significant":false,"source":{"kind":"arrays"},"statistic":0.2166516379994698,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.7334810664720126,"method":"t (Welch)","upper":0.3624810664720104},"df":9.972477472445636,"effect_size":{"ci":{"conf_level":0.95,"lower":-1.4514015183161995,"upper":0.6664390170271834},"cohens_d":-0.4356347102355081,"estimate":-0.4021243479096998,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"small","name":"hedges_g"},"groups":[{"excess_kurtosis":0.5829126412464394,"iqr":0.3860000000000001,"max":7.43,"mean":6.739666666666666,"median":6.6850000000000005,"min":6.15,"n":6,"n_missing":0,"name":"a","q1":6.53625,"q3":6.92225,"range":1.2799999999999994,"sd":0.43685726120400753,"sem":0.17834623006326136,"skewness":0.44942833149781436,"sum":40.437999999999995,"variance":0.19084426666666648},{"excess_kurtosis":-2.3480291529687705,"iqr":0.7095000000000002,"max":7.381,"mean":6.925166666666667,"median":6.968,"min":6.434,"n":6,"n_missing":0,"name":"b","q1":6.562250000000001,"q3":7.271750000000001,"range":0.9470000000000001,"sd":0.4144796335969558,"sem":0.16921060184804554,"skewness":-0.1764327098311723,"sum":41.551,"variance":0.17179336666666672}],"mean_difference":-0.1855000000000011,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.467967941096325,"p_value":0.467967941096325,"significant":false,"source":{"kind":"arrays"},"statistic":-0.7545414516684457,"test":"welch"},"error":null},{"label":"stats.ttest","method":"stats.ttest","params":{"test":"welch","check_assumptions":false},"result":{"alpha":0.05,"alternative":"two_sided","assumptions":{"checked":false},"ci_of_difference":{"conf_level":0.95,"lower":-0.569346150299218,"method":"t (Welch)","upper":0.8733461502992147},"df":8.172305182347797,"effect_size":{"ci":{"conf_level":0.95,"lower":-0.7987568431638699,"upper":1.3022120053051993},"cohens_d":0.27951667303967326,"estimate":0.25801539049815997,"interpretation":"Standardised mean difference (group 1 minus group 2), small-sample-bias corrected.","magnitude":"small","name":"hedges_g"},"groups":[{"excess_kurtosis":0.9495875091869053,"iqr":0.664749999999998,"max":8.634,"mean":7.979499999999999,"median":8.1685,"min":6.838,"n":6,"n_missing":0,"name":"a","q1":7.735250000000001,"q3":8.399999999999999,"range":1.7960000000000003,"sd":0.6599699235571268,"sem":0.2694315930497634,"skewness":-1.1428262524583839,"sum":47.876999999999995,"variance":0.43556029999999984},{"excess_kurtosis":-1.7458939245476062,"iqr":0.6112499999999992,"max":8.333,"mean":7.827500000000001,"median":7.8454999999999995,"min":7.359,"n":6,"n_missing":0,"name":"b","q1":7.499,"q3":8.110249999999999,"range":0.9740000000000002,"sd":0.3948005825730251,"sem":0.1611766629095747,"skewness":-0.019350519703715728,"sum":46.965,"variance":0.1558675}],"mean_difference":0.15199999999999836,"notes":["Group 'a' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group 'b' has n = 6; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"p_two_sided":0.6409964847486193,"p_value":0.6409964847486193,"significant":false,"source":{"kind":"arrays"},"statistic":0.48413707926733185,"test":"welch"},"error":null},{"label":"stats.adjust","method":"stats.adjust","params":{"method":"bonferroni","alpha":0.05},"result":{"alpha":0.05,"controls":"familywise_error_rate","method":"bonferroni","n_significant_adjusted":15,"n_significant_raw":18,"n_tests":30,"notes":["3 comparison(s) were significant on the raw p-values but are not after correction. 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