This shows the output of report_ttests and report_wtests functions
from workingfunctions.
Installation instructions for workingfunctions can be found here
These functions perform t tests and wilcoxon tests for all possible combinations of levels of the independent variables.
Format: A data frame with 19 rows and 7 variables:
age: Age of the individual
sex: Sex of the individual (e.g., male, female)
bmi: Body Mass Index of the individual
children: Number of children covered by the insurance
smoker: Smoking status (yes or no)
region: Region where the individual resides (e.g., southwest, southeast,
northwest, northeast)
charges: Insurance charges
Source: researchpy repo
head(df_insurance)## age sex bmi children smoker region charges ## 1 19 female 27.900 0 yes southwest 16884.924 ## 2 18 male 33.770 1 no southeast 1725.552 ## 3 28 male 33.000 3 no southeast 4449.462 ## 4 33 male 22.705 0 no northwest 21984.471 ## 5 32 male 28.880 0 no northwest 3866.855 ## 6 31 female 25.740 0 no southeast 3756.622
cdf(df_insurance)## $summary ## COLLUMNS ROWS TOTAL EMPTY null NAN na INF FIN FACTOR ## 1 7 1338 9366 0 0 0 0 0 5352 0 ## ## $check ## NAMES EMPTY null na NOT_NA NAN INF FIN RANGE MEAN MEDIAN SD MIN MAX MODE TYPE CLASS FACTOR ## 1 age 0 0 0 1338 0 0 1338 47 39.21 39 14.05 18 64 numeric integer integer FALSE ## 2 sex 0 0 0 1338 0 0 0 2 NA NA NA female male character character character FALSE ## 3 bmi 0 0 0 1338 0 0 1338 548 30.66 30.4 6.1 15.96 53.13 numeric double numeric FALSE ## 4 children 0 0 0 1338 0 0 1338 6 1.09 1 1.21 0 5 numeric integer integer FALSE ## 5 smoker 0 0 0 1338 0 0 0 2 NA NA NA no yes character character character FALSE ## 6 region 0 0 0 1338 0 0 0 4 NA NA NA northeast southwest character character character FALSE ## 7 charges 0 0 0 1338 0 0 1338 1337 13270.42 9382.03 12110.01 1121.8739 63770.42801 numeric double numeric FALSE
report_ttests(df=df_insurance,dv=7,iv=c(2))## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 -2.100888 1313.36 0.03584101 -2682.489 -91.85535 two.sided Welch Two Sample t-test 12569.58 13956.75 11128.7 12971.03 12085.02 0.1147844 0.02789264 15.58524 1 7.886777e-05 0.05 TRUE
report_ttests(df=df_insurance,dv=7,iv=c(4))## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 children charges 0 1 574 324 -0.4417876 679.59012 6.587834e-01 -1988.2577 1257.8653 two.sided Welch Two Sample t-test 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.007013844 0.1153396 1 7.341451e-01 0.003333333 FALSE ## 2 children charges 0 3 574 157 -2.7060695 243.20548 7.290553e-03 -5165.3054 -813.3802 two.sided Welch Two Sample t-test 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.039751919 0.1576254 1 6.913523e-01 0.003333333 FALSE ## 3 children charges 0 2 574 240 -2.7863080 421.22473 5.572108e-03 -4617.6666 -797.5096 two.sided Welch Two Sample t-test 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.043210079 1.6672644 1 1.966253e-01 0.003333333 FALSE ## 4 children charges 0 5 574 18 3.4810329 29.20259 1.591976e-03 1477.2327 5682.6480 two.sided Welch Two Sample t-test 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.011695982 23.1372171 1 1.508426e-06 0.003333333 TRUE ## 5 children charges 0 4 574 25 -0.7832723 27.74801 4.401018e-01 -5368.9942 2399.6328 two.sided Welch Two Sample t-test 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.005529551 2.9046073 1 8.832676e-02 0.003333333 FALSE ## 6 children charges 1 3 324 157 -2.2178485 297.45198 2.732051e-02 -4952.6397 -295.6534 two.sided Welch Two Sample t-test 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.045584407 0.3738531 1 5.409115e-01 0.003333333 FALSE ## 7 children charges 1 2 324 240 -2.2094856 489.12306 2.760343e-02 -4425.4071 -259.3767 two.sided Welch Two Sample t-test 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.044245434 2.0650067 1 1.507143e-01 0.003333333 FALSE ## 8 children charges 1 5 324 18 3.5467523 39.48455 1.022814e-03 1696.1320 6194.1411 two.sided Welch Two Sample t-test 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.021904691 22.4877050 1 2.114930e-06 0.003333333 TRUE ## 9 children charges 1 4 324 25 -0.5763734 30.56138 5.685839e-01 -5083.1176 2844.1486 two.sided Welch Two Sample t-test 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.006996017 2.5281700 1 1.118298e-01 0.003333333 FALSE ## 10 children charges 3 2 157 240 -0.2186234 344.03032 8.270731e-01 -2816.6095 2253.1002 two.sided Welch Two Sample t-test 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.005311622 0.3696063 1 5.432189e-01 0.003333333 FALSE ## 11 children charges 3 5 157 18 4.9318423 71.21179 5.147633e-06 3913.4595 9225.1068 two.sided Welch Two Sample t-test 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.062290140 23.3775961 1 1.331200e-06 0.003333333 TRUE ## 12 children charges 3 4 157 25 0.7248131 39.42099 4.728472e-01 -2692.8715 5702.1956 two.sided Welch Two Sample t-test 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.016162515 3.1776718 1 7.465103e-02 0.003333333 FALSE ## 13 children charges 2 5 240 18 5.1367681 55.83856 3.683650e-06 3835.3569 8739.7001 two.sided Welch Two Sample t-test 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.041163739 24.9593898 1 5.855067e-07 0.003333333 TRUE ## 14 children charges 2 4 240 25 0.6089120 34.82901 5.465342e-01 -2854.9724 5300.7872 two.sided Welch Two Sample t-test 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.009264150 4.2347393 1 3.960470e-02 0.003333333 FALSE ## 15 children charges 5 4 18 25 2.4870826 34.16692 1.792165e-02 926.9633 9202.2788 two.sided Welch Two Sample t-test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.149702742 12.2513375 1 4.649248e-04 0.003333333 FALSE
report_ttests(df=df_insurance,dv=7,iv=c(2,4))## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 -2.1008878 1313.36032 3.584101e-02 -2682.4893 -91.85535 two.sided Welch Two Sample t-test 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.027892640 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 -0.4417876 679.59012 6.587834e-01 -1988.2577 1257.86528 two.sided Welch Two Sample t-test 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.007013844 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 -2.7060695 243.20548 7.290553e-03 -5165.3054 -813.38016 two.sided Welch Two Sample t-test 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.039751919 0.1576254 1 6.913523e-01 0.003125 FALSE ## 4 children charges 0 2 574 240 -2.7863080 421.22473 5.572108e-03 -4617.6666 -797.50962 two.sided Welch Two Sample t-test 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.043210079 1.6672644 1 1.966253e-01 0.003125 FALSE ## 5 children charges 0 5 574 18 3.4810329 29.20259 1.591976e-03 1477.2327 5682.64801 two.sided Welch Two Sample t-test 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.011695982 23.1372171 1 1.508426e-06 0.003125 TRUE ## 6 children charges 0 4 574 25 -0.7832723 27.74801 4.401018e-01 -5368.9942 2399.63277 two.sided Welch Two Sample t-test 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.005529551 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 -2.2178485 297.45198 2.732051e-02 -4952.6397 -295.65339 two.sided Welch Two Sample t-test 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.045584407 0.3738531 1 5.409115e-01 0.003125 FALSE ## 8 children charges 1 2 324 240 -2.2094856 489.12306 2.760343e-02 -4425.4071 -259.37668 two.sided Welch Two Sample t-test 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.044245434 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3.5467523 39.48455 1.022814e-03 1696.1320 6194.14113 two.sided Welch Two Sample t-test 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.021904691 22.4877050 1 2.114930e-06 0.003125 TRUE ## 10 children charges 1 4 324 25 -0.5763734 30.56138 5.685839e-01 -5083.1176 2844.14864 two.sided Welch Two Sample t-test 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.006996017 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 -0.2186234 344.03032 8.270731e-01 -2816.6095 2253.10023 two.sided Welch Two Sample t-test 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.005311622 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 4.9318423 71.21179 5.147633e-06 3913.4595 9225.10677 two.sided Welch Two Sample t-test 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.062290140 23.3775961 1 1.331200e-06 0.003125 TRUE ## 13 children charges 3 4 157 25 0.7248131 39.42099 4.728472e-01 -2692.8715 5702.19564 two.sided Welch Two Sample t-test 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.016162515 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 5.1367681 55.83856 3.683650e-06 3835.3569 8739.70006 two.sided Welch Two Sample t-test 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.041163739 24.9593898 1 5.855067e-07 0.003125 TRUE ## 15 children charges 2 4 240 25 0.6089120 34.82901 5.465342e-01 -2854.9724 5300.78722 two.sided Welch Two Sample t-test 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.009264150 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 2.4870826 34.16692 1.792165e-02 926.9633 9202.27882 two.sided Welch Two Sample t-test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.149702742 12.2513375 1 4.649248e-04 0.003125 FALSE
report_ttests(df=df_insurance,dv=7,iv=c(2,4),alternative="two.sided")## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 -2.1008878 1313.36032 3.584101e-02 -2682.4893 -91.85535 two.sided Welch Two Sample t-test 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.027892640 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 -0.4417876 679.59012 6.587834e-01 -1988.2577 1257.86528 two.sided Welch Two Sample t-test 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.007013844 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 -2.7060695 243.20548 7.290553e-03 -5165.3054 -813.38016 two.sided Welch Two Sample t-test 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.039751919 0.1576254 1 6.913523e-01 0.003125 FALSE ## 4 children charges 0 2 574 240 -2.7863080 421.22473 5.572108e-03 -4617.6666 -797.50962 two.sided Welch Two Sample t-test 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.043210079 1.6672644 1 1.966253e-01 0.003125 FALSE ## 5 children charges 0 5 574 18 3.4810329 29.20259 1.591976e-03 1477.2327 5682.64801 two.sided Welch Two Sample t-test 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.011695982 23.1372171 1 1.508426e-06 0.003125 TRUE ## 6 children charges 0 4 574 25 -0.7832723 27.74801 4.401018e-01 -5368.9942 2399.63277 two.sided Welch Two Sample t-test 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.005529551 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 -2.2178485 297.45198 2.732051e-02 -4952.6397 -295.65339 two.sided Welch Two Sample t-test 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.045584407 0.3738531 1 5.409115e-01 0.003125 FALSE ## 8 children charges 1 2 324 240 -2.2094856 489.12306 2.760343e-02 -4425.4071 -259.37668 two.sided Welch Two Sample t-test 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.044245434 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3.5467523 39.48455 1.022814e-03 1696.1320 6194.14113 two.sided Welch Two Sample t-test 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.021904691 22.4877050 1 2.114930e-06 0.003125 TRUE ## 10 children charges 1 4 324 25 -0.5763734 30.56138 5.685839e-01 -5083.1176 2844.14864 two.sided Welch Two Sample t-test 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.006996017 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 -0.2186234 344.03032 8.270731e-01 -2816.6095 2253.10023 two.sided Welch Two Sample t-test 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.005311622 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 4.9318423 71.21179 5.147633e-06 3913.4595 9225.10677 two.sided Welch Two Sample t-test 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.062290140 23.3775961 1 1.331200e-06 0.003125 TRUE ## 13 children charges 3 4 157 25 0.7248131 39.42099 4.728472e-01 -2692.8715 5702.19564 two.sided Welch Two Sample t-test 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.016162515 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 5.1367681 55.83856 3.683650e-06 3835.3569 8739.70006 two.sided Welch Two Sample t-test 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.041163739 24.9593898 1 5.855067e-07 0.003125 TRUE ## 15 children charges 2 4 240 25 0.6089120 34.82901 5.465342e-01 -2854.9724 5300.78722 two.sided Welch Two Sample t-test 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.009264150 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 2.4870826 34.16692 1.792165e-02 926.9633 9202.27882 two.sided Welch Two Sample t-test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.149702742 12.2513375 1 4.649248e-04 0.003125 FALSE
report_ttests(df=df_insurance,dv=7,iv=c(2,4),alternative="less")## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 -2.1008878 1313.36032 0.017920507 -Inf -300.3432 less Welch Two Sample t-test 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.027892640 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 -0.4417876 679.59012 0.329391716 -Inf 996.3501 less Welch Two Sample t-test 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.007013844 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 -2.7060695 243.20548 0.003645277 -Inf -1165.3568 less Welch Two Sample t-test 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.039751919 0.1576254 1 6.913523e-01 0.003125 FALSE ## 4 children charges 0 2 574 240 -2.7863080 421.22473 0.002786054 -Inf -1105.6825 less Welch Two Sample t-test 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.043210079 1.6672644 1 1.966253e-01 0.003125 TRUE ## 5 children charges 0 5 574 18 3.4810329 29.20259 0.999204012 -Inf 5326.9454 less Welch Two Sample t-test 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.011695982 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 -0.7832723 27.74801 0.220050904 -Inf 1740.7887 less Welch Two Sample t-test 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.005529551 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 -2.2178485 297.45198 0.013660253 -Inf -671.8843 less Welch Two Sample t-test 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.045584407 0.3738531 1 5.409115e-01 0.003125 FALSE ## 8 children charges 1 2 324 240 -2.2094856 489.12306 0.013801715 -Inf -595.2871 less Welch Two Sample t-test 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.044245434 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3.5467523 39.48455 0.999488593 -Inf 5818.7037 less Welch Two Sample t-test 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.021904691 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 -0.5763734 30.56138 0.284291937 -Inf 2175.1615 less Welch Two Sample t-test 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.006996017 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 -0.2186234 344.03032 0.413536539 -Inf 1843.8025 less Welch Two Sample t-test 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.005311622 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 4.9318423 71.21179 0.999997426 -Inf 8789.1300 less Welch Two Sample t-test 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.062290140 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 0.7248131 39.42099 0.763576406 -Inf 5001.4381 less Welch Two Sample t-test 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.016162515 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 5.1367681 55.83856 0.999998158 -Inf 8334.8358 less Welch Two Sample t-test 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.041163739 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 0.6089120 34.82901 0.726732888 -Inf 4616.6105 less Welch Two Sample t-test 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.009264150 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 2.4870826 34.16692 0.991039174 -Inf 8507.4980 less Welch Two Sample t-test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.149702742 12.2513375 1 4.649248e-04 0.003125 FALSE
report_ttests(df=df_insurance,dv=7,iv=c(2,4),alternative="greater")## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 -2.1008878 1313.36032 9.820795e-01 -2474.001 Inf greater Welch Two Sample t-test 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.027892640 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 -0.4417876 679.59012 6.706083e-01 -1726.743 Inf greater Welch Two Sample t-test 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.007013844 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 -2.7060695 243.20548 9.963547e-01 -4813.329 Inf greater Welch Two Sample t-test 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.039751919 0.1576254 1 6.913523e-01 0.003125 FALSE ## 4 children charges 0 2 574 240 -2.7863080 421.22473 9.972139e-01 -4309.494 Inf greater Welch Two Sample t-test 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.043210079 1.6672644 1 1.966253e-01 0.003125 FALSE ## 5 children charges 0 5 574 18 3.4810329 29.20259 7.959879e-04 1832.935 Inf greater Welch Two Sample t-test 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.011695982 23.1372171 1 1.508426e-06 0.003125 TRUE ## 6 children charges 0 4 574 25 -0.7832723 27.74801 7.799491e-01 -4710.150 Inf greater Welch Two Sample t-test 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.005529551 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 -2.2178485 297.45198 9.863397e-01 -4576.409 Inf greater Welch Two Sample t-test 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.045584407 0.3738531 1 5.409115e-01 0.003125 FALSE ## 8 children charges 1 2 324 240 -2.2094856 489.12306 9.861983e-01 -4089.497 Inf greater Welch Two Sample t-test 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.044245434 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3.5467523 39.48455 5.114071e-04 2071.569 Inf greater Welch Two Sample t-test 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.021904691 22.4877050 1 2.114930e-06 0.003125 TRUE ## 10 children charges 1 4 324 25 -0.5763734 30.56138 7.157081e-01 -4414.130 Inf greater Welch Two Sample t-test 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.006996017 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 -0.2186234 344.03032 5.864635e-01 -2407.312 Inf greater Welch Two Sample t-test 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.005311622 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 4.9318423 71.21179 2.573816e-06 4349.436 Inf greater Welch Two Sample t-test 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.062290140 23.3775961 1 1.331200e-06 0.003125 TRUE ## 13 children charges 3 4 157 25 0.7248131 39.42099 2.364236e-01 -1992.114 Inf greater Welch Two Sample t-test 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.016162515 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 5.1367681 55.83856 1.841825e-06 4240.221 Inf greater Welch Two Sample t-test 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.041163739 24.9593898 1 5.855067e-07 0.003125 TRUE ## 15 children charges 2 4 240 25 0.6089120 34.82901 2.732671e-01 -2170.796 Inf greater Welch Two Sample t-test 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.009264150 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 2.4870826 34.16692 8.960826e-03 1621.744 Inf greater Welch Two Sample t-test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.149702742 12.2513375 1 4.649248e-04 0.003125 FALSE
report_ttests(df=df_insurance,dv=7,iv=c(2,4),var.equal=TRUE)## DV IV level1 level2 n1 n2 t df p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 -2.0975466 1336 0.036132721 -2684.5324 -89.81229 two.sided Two Sample t-test 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.027892640 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 -0.4397307 896 0.660238184 -1995.1475 1264.75500 two.sided Two Sample t-test 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.007013844 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 -2.7453944 729 0.006192704 -5127.0130 -851.67252 two.sided Two Sample t-test 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.039751919 0.1576254 1 6.913523e-01 0.003125 FALSE ## 4 children charges 0 2 574 240 -2.8671524 812 0.004249042 -4561.2381 -853.93815 two.sided Two Sample t-test 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.043210079 1.6672644 1 1.966253e-01 0.003125 FALSE ## 5 children charges 0 5 574 18 1.2603377 590 0.208045787 -1998.7052 9158.58591 two.sided Two Sample t-test 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.011695982 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 -0.6095923 597 0.542363858 -6267.9304 3298.56903 two.sided Two Sample t-test 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.005529551 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 -2.2504833 479 0.024871150 -4915.3260 -332.96703 two.sided Two Sample t-test 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.045584407 0.3738531 1 5.409115e-01 0.003125 FALSE ## 8 children charges 1 2 324 240 -2.2381022 562 0.025605269 -4398.1122 -286.67159 two.sided Two Sample t-test 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.044245434 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 1.4098163 340 0.159507995 -1559.0899 9449.36310 two.sided Two Sample t-test 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.021904691 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 -0.4626241 347 0.643923793 -5878.9186 3639.94967 two.sided Two Sample t-test 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.006996017 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 -0.2165972 395 0.828634069 -2839.1567 2275.64744 two.sided Two Sample t-test 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.005311622 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 2.2428822 173 0.026173925 788.2114 12350.35481 two.sided Two Sample t-test 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.062290140 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 0.5845023 180 0.559614317 -3574.9514 6584.27546 two.sided Two Sample t-test 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.016162515 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 2.0591602 256 0.040490438 274.4627 12300.59425 two.sided Two Sample t-test 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.041163739 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 0.4619919 263 0.644469077 -3989.1654 6434.98020 two.sided Two Sample t-test 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.009264150 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 2.2110865 41 0.032664986 438.7461 9690.49607 two.sided Two Sample t-test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.149702742 12.2513375 1 4.649248e-04 0.003125 FALSE
| Column | Description |
|---|---|
| DV | dependent variable |
| IV | independent variable |
| level1 | level 1 |
| level2 | level 2 |
| n1 | sample size for level 1 |
| n2 | sample size for level 2 |
| t | t statistic |
| df | degrees of freedom for t statistic |
| p | p value |
| CI_l | confidence interval lower bound |
| CI_u | confidence interval upper bound |
| alternative | alternative hypothesis |
| method | name of method should be displayed here |
| mean1 | mean for level 1 |
| mean2 | mean for level 2 |
| sd1 | standard deviation for level 1 |
| sd2 | standard deviation for level 2 |
| sd_pooled | pooled standard deviation combined standard deviation of both levels |
| d | measure of effect size cohen’s d |
| d | Very small 0.01 Sawilowsky (2009) |
| d | Small 0.20 Cohen (1988) |
| d | Medium 0.50 Cohen (1988) |
| d | Large 0.80 Cohen (1988) |
| d | Very large 1.20 Sawilowsky (2009) |
| d | Huge 12.0 Sawilowsky (2009) |
| r | measure of effect size correlation effect size |
| k_squared bartlett | bartlett test for homogeneity of variances |
| df bartlett | bartlett test for homogeneity of variances |
| p bartlett | bartlett test for homogeneity of variances significant values indicate heteroscedasticity |
| bonferroni_p | bonferroni adjusted critical value for a=0.05 |
| significant | if TRUE result is significant after bonferroni adjustment |
report_wtests(df=df_insurance,dv=7,iv=c(2))## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 221304 0.7286511 -929.0673 566.9229 two.sided Wilcoxon rank sum test with continuity correction 12569.58 13956.75 11128.7 12971.03 12085.02 0.1147844 0.009486159 15.58524 1 7.886777e-05 0.05 FALSE
report_wtests(df=df_insurance,dv=7,iv=c(4))## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 children charges 0 1 574 324 87794 1.641134e-01 -1563.034053 309.0238 two.sided Wilcoxon rank sum test with continuity correction 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.046435070 0.1153396 1 7.341451e-01 0.003333333 FALSE ## 2 children charges 0 3 574 157 35692 6.471971e-05 -4120.046055 -1707.1083 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.147764853 0.1576254 1 6.913523e-01 0.003333333 TRUE ## 3 children charges 0 2 574 240 57386 1.715982e-04 -3218.567028 -1185.6450 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.131707117 1.6672644 1 1.966253e-01 0.003333333 TRUE ## 4 children charges 0 5 574 18 5334 8.146626e-01 -2829.260853 4259.0758 two.sided Wilcoxon rank sum test with continuity correction 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.009663168 23.1372171 1 1.508426e-06 0.003333333 FALSE ## 5 children charges 0 4 574 25 5666 7.493225e-02 -5742.998924 332.2903 two.sided Wilcoxon rank sum test with continuity correction 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.072788854 2.9046073 1 8.832676e-02 0.003333333 FALSE ## 6 children charges 1 3 324 157 20460 5.024998e-04 -3335.248442 -966.4038 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.158663860 0.3738531 1 5.409115e-01 0.003333333 TRUE ## 7 children charges 1 2 324 240 33821 8.200846e-03 -2396.954845 -345.2780 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.111330305 2.0650067 1 1.507143e-01 0.003333333 FALSE ## 8 children charges 1 5 324 18 3008 8.226739e-01 -1886.640741 3039.4562 two.sided Wilcoxon rank sum test with continuity correction 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.012184552 22.4877050 1 2.114930e-06 0.003333333 FALSE ## 9 children charges 1 4 324 25 3133 5.935064e-02 -5161.038838 106.4191 two.sided Wilcoxon rank sum test with continuity correction 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.100988219 2.5281700 1 1.118298e-01 0.003333333 FALSE ## 10 children charges 3 2 157 240 17627 2.780925e-01 -2020.245025 560.7960 two.sided Wilcoxon rank sum test with continuity correction 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.054457686 0.3696063 1 5.432189e-01 0.003333333 FALSE ## 11 children charges 3 5 157 18 1812 5.030207e-02 -1.259839 6184.4450 two.sided Wilcoxon rank sum test with continuity correction 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.148150145 23.3775961 1 1.331200e-06 0.003333333 FALSE ## 12 children charges 3 4 157 25 1922 8.701285e-01 -3127.139397 2805.0320 two.sided Wilcoxon rank sum test with continuity correction 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.012270565 3.1776718 1 7.465103e-02 0.003333333 FALSE ## 13 children charges 2 5 240 18 2549 2.032662e-01 -683.722031 5203.3642 two.sided Wilcoxon rank sum test with continuity correction 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.079311948 24.9593898 1 5.855067e-07 0.003333333 FALSE ## 14 children charges 2 4 240 25 2745 4.852711e-01 -3793.245800 1929.9896 two.sided Wilcoxon rank sum test with continuity correction 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.042952794 4.2347393 1 3.960470e-02 0.003333333 FALSE ## 15 children charges 5 4 18 25 307 4.397189e-02 190.184050 6389.2020 two.sided Wilcoxon rank sum exact test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.307848933 12.2513375 1 4.649248e-04 0.003333333 FALSE
report_wtests(df=df_insurance,dv=7,iv=c(2,4))## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 221304 7.286511e-01 -929.067302 566.9229 two.sided Wilcoxon rank sum test with continuity correction 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.009486159 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 87794 1.641134e-01 -1563.034053 309.0238 two.sided Wilcoxon rank sum test with continuity correction 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.046435070 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 35692 6.471971e-05 -4120.046055 -1707.1083 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.147764853 0.1576254 1 6.913523e-01 0.003125 TRUE ## 4 children charges 0 2 574 240 57386 1.715982e-04 -3218.567028 -1185.6450 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.131707117 1.6672644 1 1.966253e-01 0.003125 TRUE ## 5 children charges 0 5 574 18 5334 8.146626e-01 -2829.260853 4259.0758 two.sided Wilcoxon rank sum test with continuity correction 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.009663168 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 5666 7.493225e-02 -5742.998924 332.2903 two.sided Wilcoxon rank sum test with continuity correction 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.072788854 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 20460 5.024998e-04 -3335.248442 -966.4038 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.158663860 0.3738531 1 5.409115e-01 0.003125 TRUE ## 8 children charges 1 2 324 240 33821 8.200846e-03 -2396.954845 -345.2780 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.111330305 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3008 8.226739e-01 -1886.640741 3039.4562 two.sided Wilcoxon rank sum test with continuity correction 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.012184552 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 3133 5.935064e-02 -5161.038838 106.4191 two.sided Wilcoxon rank sum test with continuity correction 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.100988219 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 17627 2.780925e-01 -2020.245025 560.7960 two.sided Wilcoxon rank sum test with continuity correction 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.054457686 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 1812 5.030207e-02 -1.259839 6184.4450 two.sided Wilcoxon rank sum test with continuity correction 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.148150145 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 1922 8.701285e-01 -3127.139397 2805.0320 two.sided Wilcoxon rank sum test with continuity correction 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.012270565 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 2549 2.032662e-01 -683.722031 5203.3642 two.sided Wilcoxon rank sum test with continuity correction 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.079311948 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 2745 4.852711e-01 -3793.245800 1929.9896 two.sided Wilcoxon rank sum test with continuity correction 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.042952794 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 307 4.397189e-02 190.184050 6389.2020 two.sided Wilcoxon rank sum exact test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.307848933 12.2513375 1 4.649248e-04 0.003125 FALSE
report_wtests(df=df_insurance,dv=7,iv=c(2,4),alternative="two.sided")## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 221304 7.286511e-01 -929.067302 566.9229 two.sided Wilcoxon rank sum test with continuity correction 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.009486159 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 87794 1.641134e-01 -1563.034053 309.0238 two.sided Wilcoxon rank sum test with continuity correction 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.046435070 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 35692 6.471971e-05 -4120.046055 -1707.1083 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.147764853 0.1576254 1 6.913523e-01 0.003125 TRUE ## 4 children charges 0 2 574 240 57386 1.715982e-04 -3218.567028 -1185.6450 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.131707117 1.6672644 1 1.966253e-01 0.003125 TRUE ## 5 children charges 0 5 574 18 5334 8.146626e-01 -2829.260853 4259.0758 two.sided Wilcoxon rank sum test with continuity correction 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.009663168 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 5666 7.493225e-02 -5742.998924 332.2903 two.sided Wilcoxon rank sum test with continuity correction 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.072788854 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 20460 5.024998e-04 -3335.248442 -966.4038 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.158663860 0.3738531 1 5.409115e-01 0.003125 TRUE ## 8 children charges 1 2 324 240 33821 8.200846e-03 -2396.954845 -345.2780 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.111330305 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3008 8.226739e-01 -1886.640741 3039.4562 two.sided Wilcoxon rank sum test with continuity correction 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.012184552 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 3133 5.935064e-02 -5161.038838 106.4191 two.sided Wilcoxon rank sum test with continuity correction 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.100988219 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 17627 2.780925e-01 -2020.245025 560.7960 two.sided Wilcoxon rank sum test with continuity correction 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.054457686 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 1812 5.030207e-02 -1.259839 6184.4450 two.sided Wilcoxon rank sum test with continuity correction 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.148150145 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 1922 8.701285e-01 -3127.139397 2805.0320 two.sided Wilcoxon rank sum test with continuity correction 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.012270565 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 2549 2.032662e-01 -683.722031 5203.3642 two.sided Wilcoxon rank sum test with continuity correction 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.079311948 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 2745 4.852711e-01 -3793.245800 1929.9896 two.sided Wilcoxon rank sum test with continuity correction 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.042952794 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 307 4.397189e-02 190.184050 6389.2020 two.sided Wilcoxon rank sum exact test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.307848933 12.2513375 1 4.649248e-04 0.003125 FALSE
report_wtests(df=df_insurance,dv=7,iv=c(2,4),alternative="less")## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 221304 3.643255e-01 -Inf 480.1140 less Wilcoxon rank sum test with continuity correction 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.009486159 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 87794 8.205671e-02 -Inf 141.8151 less Wilcoxon rank sum test with continuity correction 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.046435070 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 35692 3.235985e-05 -Inf -1894.6137 less Wilcoxon rank sum test with continuity correction 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.147764853 0.1576254 1 6.913523e-01 0.003125 TRUE ## 4 children charges 0 2 574 240 57386 8.579911e-05 -Inf -1366.6764 less Wilcoxon rank sum test with continuity correction 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.131707117 1.6672644 1 1.966253e-01 0.003125 TRUE ## 5 children charges 0 5 574 18 5334 5.932118e-01 -Inf 3673.1279 less Wilcoxon rank sum test with continuity correction 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.009663168 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 5666 3.746613e-02 -Inf -237.3114 less Wilcoxon rank sum test with continuity correction 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.072788854 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 20460 2.512499e-04 -Inf -1167.0091 less Wilcoxon rank sum test with continuity correction 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.158663860 0.3738531 1 5.409115e-01 0.003125 TRUE ## 8 children charges 1 2 324 240 33821 4.100423e-03 -Inf -504.4227 less Wilcoxon rank sum test with continuity correction 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.111330305 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3008 5.896157e-01 -Inf 2591.8880 less Wilcoxon rank sum test with continuity correction 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.012184552 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 3133 2.967532e-02 -Inf -388.9395 less Wilcoxon rank sum test with continuity correction 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.100988219 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 17627 1.390462e-01 -Inf 385.9682 less Wilcoxon rank sum test with continuity correction 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.054457686 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 1812 9.751361e-01 -Inf 5455.1278 less Wilcoxon rank sum test with continuity correction 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.148150145 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 1922 4.350642e-01 -Inf 2187.4027 less Wilcoxon rank sum test with continuity correction 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.012270565 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 2549 8.989473e-01 -Inf 4352.8293 less Wilcoxon rank sum test with continuity correction 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.079311948 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 2745 2.426356e-01 -Inf 1465.9181 less Wilcoxon rank sum test with continuity correction 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.042952794 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 307 9.793183e-01 -Inf 6118.6019 less Wilcoxon rank sum exact test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.307848933 12.2513375 1 4.649248e-04 0.003125 FALSE
report_wtests(df=df_insurance,dv=7,iv=c(2,4),alternative="greater")## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 221304 0.63572761 -791.7764 Inf greater Wilcoxon rank sum test with continuity correction 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.009486159 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 87794 0.91798388 -1412.4132 Inf greater Wilcoxon rank sum test with continuity correction 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.046435070 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 35692 0.99996770 -3928.2216 Inf greater Wilcoxon rank sum test with continuity correction 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.147764853 0.1576254 1 6.913523e-01 0.003125 FALSE ## 4 children charges 0 2 574 240 57386 0.99991431 -3053.8243 Inf greater Wilcoxon rank sum test with continuity correction 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.131707117 1.6672644 1 1.966253e-01 0.003125 FALSE ## 5 children charges 0 5 574 18 5334 0.40733130 -2491.7828 Inf greater Wilcoxon rank sum test with continuity correction 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.009663168 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 5666 0.96263023 -5306.0104 Inf greater Wilcoxon rank sum test with continuity correction 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.072788854 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 20460 0.99974941 -3136.6651 Inf greater Wilcoxon rank sum test with continuity correction 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.158663860 0.3738531 1 5.409115e-01 0.003125 FALSE ## 8 children charges 1 2 324 240 33821 0.99590590 -2228.9913 Inf greater Wilcoxon rank sum test with continuity correction 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.111330305 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3008 0.41133693 -1541.0272 Inf greater Wilcoxon rank sum test with continuity correction 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.012184552 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 3133 0.97046314 -4687.4514 Inf greater Wilcoxon rank sum test with continuity correction 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.100988219 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 17627 0.86115186 -1808.1586 Inf greater Wilcoxon rank sum test with continuity correction 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.054457686 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 1812 0.02515104 410.5912 Inf greater Wilcoxon rank sum test with continuity correction 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.148150145 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 1922 0.56654420 -2665.3468 Inf greater Wilcoxon rank sum test with continuity correction 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.012270565 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 2549 0.10163309 -358.7102 Inf greater Wilcoxon rank sum test with continuity correction 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.079311948 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 2745 0.75822112 -3293.3247 Inf greater Wilcoxon rank sum test with continuity correction 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.042952794 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 307 0.02198594 793.8072 Inf greater Wilcoxon rank sum exact test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.307848933 12.2513375 1 4.649248e-04 0.003125 FALSE
report_wtests(df=df_insurance,dv=7,iv=c(2,4),var.equal=TRUE)## DV IV level1 level2 n1 n2 W p CI_l CI_u alternative method mean1 mean2 sd1 sd2 sd_pooled d r k_squared[bartlett] df[bartlett] p[bartlett] bonferroni_p significant ## 1 sex charges female male 662 676 221304 7.286511e-01 -929.067302 566.9229 two.sided Wilcoxon rank sum test with continuity correction 12569.579 13956.751 11128.704 12971.026 12085.023 0.11478442 0.009486159 15.5852419 1 7.886777e-05 0.003125 FALSE ## 2 children charges 0 1 574 324 87794 1.641134e-01 -1563.034053 309.0238 two.sided Wilcoxon rank sum test with continuity correction 12365.976 12731.172 12023.294 11823.631 11923.881 0.03062730 0.046435070 0.1153396 1 7.341451e-01 0.003125 FALSE ## 3 children charges 0 3 574 157 35692 6.471971e-05 -4120.046055 -1707.1083 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15355.318 12023.294 12330.869 12178.053 0.24546968 0.147764853 0.1576254 1 6.913523e-01 0.003125 TRUE ## 4 children charges 0 2 574 240 57386 1.715982e-04 -3218.567028 -1185.6450 two.sided Wilcoxon rank sum test with continuity correction 12365.976 15073.564 12023.294 12891.368 12464.890 0.21721717 0.131707117 1.6672644 1 1.966253e-01 0.003125 TRUE ## 5 children charges 0 5 574 18 5334 8.146626e-01 -2829.260853 4259.0758 two.sided Wilcoxon rank sum test with continuity correction 12365.976 8786.035 12023.294 3808.436 8918.065 0.40142567 0.009663168 23.1372171 1 1.508426e-06 0.003125 FALSE ## 6 children charges 0 4 574 25 5666 7.493225e-02 -5742.998924 332.2903 two.sided Wilcoxon rank sum test with continuity correction 12365.976 13850.656 12023.294 9139.223 10679.068 0.13902718 0.072788854 2.9046073 1 8.832676e-02 0.003125 FALSE ## 7 children charges 1 3 324 157 20460 5.024998e-04 -3335.248442 -966.4038 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15355.318 11823.631 12330.869 12079.913 0.21723224 0.158663860 0.3738531 1 5.409115e-01 0.003125 TRUE ## 8 children charges 1 2 324 240 33821 8.200846e-03 -2396.954845 -345.2780 two.sided Wilcoxon rank sum test with continuity correction 12731.172 15073.564 11823.631 12891.368 12369.027 0.18937561 0.111330305 2.0650067 1 1.507143e-01 0.003125 FALSE ## 9 children charges 1 5 324 18 3008 8.226739e-01 -1886.640741 3039.4562 two.sided Wilcoxon rank sum test with continuity correction 12731.172 8786.035 11823.631 3808.436 8783.577 0.44914921 0.012184552 22.4877050 1 2.114930e-06 0.003125 FALSE ## 10 children charges 1 4 324 25 3133 5.935064e-02 -5161.038838 106.4191 two.sided Wilcoxon rank sum test with continuity correction 12731.172 13850.656 11823.631 9139.223 10567.016 0.10594140 0.100988219 2.5281700 1 1.118298e-01 0.003125 FALSE ## 11 children charges 3 2 157 240 17627 2.780925e-01 -2020.245025 560.7960 two.sided Wilcoxon rank sum test with continuity correction 15355.318 15073.564 12330.869 12891.368 12614.232 0.02233625 0.054457686 0.3696063 1 5.432189e-01 0.003125 FALSE ## 12 children charges 3 5 157 18 1812 5.030207e-02 -1.259839 6184.4450 two.sided Wilcoxon rank sum test with continuity correction 15355.318 8786.035 12330.869 3808.436 9125.638 0.71987114 0.148150145 23.3775961 1 1.331200e-06 0.003125 FALSE ## 13 children charges 3 4 157 25 1922 8.701285e-01 -3127.139397 2805.0320 two.sided Wilcoxon rank sum test with continuity correction 15355.318 13850.656 12330.869 9139.223 10853.012 0.13864004 0.012270565 3.1776718 1 7.465103e-02 0.003125 FALSE ## 14 children charges 2 5 240 18 2549 2.032662e-01 -683.722031 5203.3642 two.sided Wilcoxon rank sum test with continuity correction 15073.564 8786.035 12891.368 3808.436 9505.040 0.66149419 0.079311948 24.9593898 1 5.855067e-07 0.003125 FALSE ## 15 children charges 2 4 240 25 2745 4.852711e-01 -3793.245800 1929.9896 two.sided Wilcoxon rank sum test with continuity correction 15073.564 13850.656 12891.368 9139.223 11173.916 0.10944305 0.042952794 4.2347393 1 3.960470e-02 0.003125 FALSE ## 16 children charges 5 4 18 25 307 4.397189e-02 190.184050 6389.2020 two.sided Wilcoxon rank sum exact test 8786.035 13850.656 3808.436 9139.223 7001.056 0.72340811 0.307848933 12.2513375 1 4.649248e-04 0.003125 FALSE
| Column | Description |
|---|---|
| DV | dependent variable |
| IV | independent variable |
| level1 | level 1 |
| level2 | level 2 |
| n1 | sample size for level 1 |
| n2 | sample size for level 2 |
| W | wilcoxon statistic |
| df | degrees of freedom for t statistic |
| p | p value |
| CI_l | confidence interval lower bound |
| CI_u | confidence interval upper bound |
| alternative | alternative hypothesis |
| method | name of method should be displayed here |
| mean1 | mean for level 1 |
| mean2 | mean for level 2 |
| sd1 | standard deviation for level 1 |
| sd2 | standard deviation for level 2 |
| sd_pooled | pooled standard deviation combined standard deviation of both levels |
| d | measure of effect size cohen’s d |
| d | Very small 0.01 Sawilowsky (2009) |
| d | Small 0.20 Cohen (1988) |
| d | Medium 0.50 Cohen (1988) |
| d | Large 0.80 Cohen (1988) |
| d | Very large 1.20 Sawilowsky (2009) |
| d | Huge 12.0 Sawilowsky (2009) |
| r | measure of effect size correlation effect size |
| k_squared bartlett | bartlett test for homogeneity of variances |
| df bartlett | bartlett test for homogeneity of variances |
| p bartlett | bartlett test for homogeneity of variances significant values indicate heteroscedasticity |
| bonferroni_p | bonferroni adjusted critical value for a=0.05 |
| significant | if TRUE result is significant after bonferroni adjustment |