doc/fig_tree_statistical_tests.svg

<svg width="1280" height="720" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" overflow="hidden"><defs><clipPath id="clip0"><rect x="0" y="0" width="1280" height="720"/></clipPath></defs><g clip-path="url(#clip0)"><rect x="0" y="0" width="1280" height="720" fill="#FFFFFF"/><path d="M344.5 18.4001C344.5 14.037 348.037 10.5001 352.4 10.5001L478.6 10.5001C482.963 10.5001 486.5 14.037 486.5 18.4001L486.5 81.6001C486.5 85.9632 482.963 89.5002 478.6 89.5002L352.4 89.5C348.037 89.5 344.5 85.9631 344.5 81.6Z" stroke="#000000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="700" font-size="21" transform="translate(377.497 43)">Location <tspan font-size="21" x="16.6733" y="23">tests</tspan></text><path d="M553.5 138C553.5 124.469 608.121 113.5 675.5 113.5 742.879 113.5 797.5 124.469 797.5 138 797.5 151.531 742.879 162.5 675.5 162.5 608.121 162.5 553.5 151.531 553.5 138Z" stroke="#000000" stroke-width="0.666667" stroke-miterlimit="8" fill="#FFFFFF" fill-rule="evenodd"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(599.786 143)">Number of factors ?<tspan font-size="19" x="-72.8455" y="-72">Ordinal or numerical </tspan><tspan font-size="19" x="-31.3389" y="-52">measures</tspan><tspan font-size="19" x="-397.701" y="-12">Nominal / categorical </tspan><tspan font-size="19" x="-353.315" y="8">measures</tspan></text><path d="M19.5001 571.9C19.5001 568.365 22.3654 565.5 25.9 565.5L138.1 565.5C141.635 565.5 144.5 568.365 144.5 571.9L144.5 623.1C144.5 626.635 141.635 629.5 138.1 629.5L25.9 629.5C22.3654 629.5 19.5001 626.635 19.5001 623.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(54.2751 591)">Paired <tspan font-size="21" x="4.03333" y="23">t</tspan>-test</text><path d="M19.5001 640.9C19.5001 637.365 22.3654 634.5 25.9 634.5L138.1 634.5C141.635 634.5 144.5 637.365 144.5 640.9L144.5 692.1C144.5 695.635 141.635 698.5 138.1 698.5L25.9 698.5C22.3654 698.5 19.5001 695.635 19.5001 692.1Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(41.825 672)">Wilcoxon</text><path d="M171.5 571.9C171.5 568.365 174.365 565.5 177.9 565.5L290.1 565.5C293.635 565.5 296.5 568.365 296.5 571.9L296.5 623.1C296.5 626.635 293.635 629.5 290.1 629.5L177.9 629.5C174.365 629.5 171.5 626.635 171.5 623.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(193.178 591)">Unpaired <tspan font-size="21" x="16.76" y="23">t</tspan><tspan font-size="21" x="23.9267" y="23">-</tspan>test</text><path d="M171.5 640.9C171.5 637.365 174.365 634.5 177.9 634.5L290.1 634.5C293.635 634.5 296.5 637.365 296.5 640.9L296.5 692.1C296.5 695.635 293.635 698.5 290.1 698.5L177.9 698.5C174.365 698.5 171.5 695.635 171.5 692.1Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(204.618 660)">Mann-<tspan font-size="21" x="-8.18001" y="23">Whitney</tspan></text><path d="M357.5 571.9C357.5 568.365 360.365 565.5 363.9 565.5L506.1 565.5C509.635 565.5 512.5 568.365 512.5 571.9L512.5 623.1C512.5 626.635 509.635 629.5 506.1 629.5L363.9 629.5C360.365 629.5 357.5 626.635 357.5 623.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(393.09 591)">Repeated <tspan font-size="21" x="-18.8733" y="23">1</tspan><tspan font-size="21" x="-8.03998" y="23">-</tspan>way ANOVA</text><path d="M357.5 640.9C357.5 637.365 360.365 634.5 363.9 634.5L506.1 634.5C509.635 634.5 512.5 637.365 512.5 640.9L512.5 692.1C512.5 695.635 509.635 698.5 506.1 698.5L363.9 698.5C360.365 698.5 357.5 695.635 357.5 692.1Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(393.186 672)">Friedman</text><path d="M538.5 571.9C538.5 568.365 541.365 565.5 544.9 565.5L686.1 565.5C689.635 565.5 692.5 568.365 692.5 571.9L692.5 623.1C692.5 626.635 689.635 629.5 686.1 629.5L544.9 629.5C541.365 629.5 538.5 626.635 538.5 623.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(554.914 602)">1<tspan font-size="21" x="10.8334" y="0">-</tspan>way ANOVA</text><path d="M538.5 640.9C538.5 637.365 541.365 634.5 544.9 634.5L686.1 634.5C689.635 634.5 692.5 637.365 692.5 640.9L692.5 692.1C692.5 695.635 689.635 698.5 686.1 698.5L544.9 698.5C541.365 698.5 538.5 695.635 538.5 692.1Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(555.104 671)">Kruskal<tspan font-size="21" x="62.1333" y="0">-</tspan>Wallis</text><path d="M416.344 89.5223 416.093 93.2919 415.398 97.0196 414.199 100.744 412.56 104.463 410.483 108.113 408.03 111.761 405.14 115.342 401.935 118.861 394.348 125.758 385.385 132.34 375.238 138.541 364.031 144.364 351.824 149.685 338.743 154.504 324.914 158.696 310.522 162.326 295.629 165.204 280.362 167.331 264.844 168.645 249.209 169.146 233.584 169.583 233.604 169.582 218.104 170.957 218.12 170.955 202.87 173.08 202.888 173.077 188.013 175.952 188.031 175.948 173.656 179.573 173.672 179.569 159.922 183.756 159.94 183.75 146.877 188.563 146.896 188.555 134.709 193.93 134.727 193.921 123.477 199.734 123.498 199.722 113.373 205.91 113.398 205.893 104.523 212.456 104.548 212.435 96.985 219.248 97.0084 219.225 93.8209 222.725 93.8338 222.709 90.9588 226.272 90.976 226.249 88.5385 229.874 88.5516 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font-size="21" transform="translate(35.2951 285)">Chi<tspan font-size="21" x="27.3333" y="0">-</tspan><tspan font-size="21" x="33.8333" y="0">square</tspan></text><path d="M19.5001 323C19.5001 319.41 22.4102 316.5 26.0001 316.5L138 316.5C141.59 316.5 144.5 319.41 144.5 323L144.5 375C144.5 378.59 141.59 381.5 138 381.5L26.0001 381.5C22.4102 381.5 19.5001 378.59 19.5001 375Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(48.7451 342)">Fisher’s <tspan font-size="21" x="-8.75333" y="23">exact test</tspan></text><path d="M5.50005 17.3001C5.50005 10.2308 11.2308 4.50005 18.3001 4.50005L162.7 4.50005C169.769 4.50005 175.5 10.2308 175.5 17.3001L175.5 119.7C175.5 126.769 169.769 132.5 162.7 132.5L18.3001 132.5C11.2308 132.5 5.50005 126.769 5.50005 119.7Z" stroke="#000000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(19.1865 34)">Legend:</text><path d="M12.5001 53.0001C12.5001 51.0671 14.0671 49.5001 16.0001 49.5001L163 49.5001C164.933 49.5001 166.5 51.0671 166.5 53.0001L166.5 81C166.5 82.933 164.933 84.5001 163 84.5001L16.0001 84.5001C14.0671 84.5001 12.5001 82.933 12.5001 81Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(27.2509 72)">Parametric</text><path d="M12.5001 95.0001C12.5001 93.0671 14.0671 91.5001 16.0001 91.5001L163 91.5001C164.933 91.5001 166.5 93.0671 166.5 95.0001L166.5 123C166.5 124.933 164.933 126.5 163 126.5L16.0001 126.5C14.0671 126.5 12.5001 124.933 12.5001 123Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(27.2509 113)">Non-<tspan font-size="19" x="37.3333" y="0">parametric</tspan></text><path d="M185.5 308.5C185.5 295.245 256.015 284.5 343 284.5 429.985 284.5 500.5 295.245 500.5 308.5 500.5 321.755 429.985 332.5 343 332.5 256.015 332.5 185.5 321.755 185.5 308.5Z" stroke="#000000" stroke-width="0.666667" stroke-miterlimit="8" fill="#FFFFFF" fill-rule="evenodd"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(241.403 314)">Number of factor’s levels ?</text><path d="M0.0526635-0.329147 1.66304-0.0714872 3.29975 0.714136 4.91254 1.93986 6.44504 3.60006 8.0278 5.75261 9.54169 8.27577 11.0516 11.2327 12.4958 14.5606 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stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(745.802 306)">Repeated <tspan font-size="21" x="-19.04" y="23">n</tspan><tspan font-size="21" x="-7.87335" y="23">-</tspan>way ANOVA</text><path d="M891.5 286.9C891.5 283.365 894.365 280.5 897.9 280.5L1039.1 280.5C1042.63 280.5 1045.5 283.365 1045.5 286.9L1045.5 338.1C1045.5 341.635 1042.63 344.5 1039.1 344.5L897.9 344.5C894.365 344.5 891.5 341.635 891.5 338.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(907.459 318)">n<tspan font-size="21" x="11.1667" y="0">-</tspan>way ANOVA</text><path d="M764.5 224C764.5 207.708 815.987 194.5 879.5 194.5 943.013 194.5 994.5 207.708 994.5 224 994.5 240.292 943.013 253.5 879.5 253.5 815.987 253.5 764.5 240.292 764.5 224Z" stroke="#000000" stroke-width="0.666667" stroke-miterlimit="8" fill="#FFFFFF" fill-rule="evenodd"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(808.474 218)">Paired or unpaired <tspan font-size="19" x="33.0533" y="23">samples ?</tspan></text><path d="M0.094056-0.319788 85.5766 24.8223 85.3885 25.4619-0.094056 0.319788ZM85.3321 20.9284 91.8783 27.0232 83.0747 28.6033Z" transform="matrix(-1 0 0 1 879.378 253.5)"/><path d="M879.596 253.181 962.034 278.084 961.841 278.723 879.404 253.819ZM961.818 274.189 968.319 280.331 959.504 281.847Z"/><path d="M0.0830137-0.322831 2.34224 0.258112 4.55334 2.07902 6.71636 4.87823 8.79921 8.60211 10.811 13.2543 12.6927 18.7113 14.5095 24.9134 16.2001 31.801 17.765 39.25 19.1417 47.2598 20.393 55.7066 21.3943 64.4676 22.8955 82.9196 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32.5 203.875 25.6876 198.079Z" transform="matrix(1.83697e-16 1 1 -1.83697e-16 675.5 162.5)"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(574.533 199)">n = 1<tspan font-size="19" x="226.252" y="-24">n ≥ 2</tspan><tspan font-size="19" x="-302.088" y="182">s = 2</tspan><tspan font-size="19" x="-103.649" y="159">s ≥ 3</tspan></text><path d="M1004.5 18.4001C1004.5 14.037 1008.04 10.5001 1012.4 10.5001L1138.6 10.5001C1142.96 10.5001 1146.5 14.037 1146.5 18.4001L1146.5 81.6001C1146.5 85.9632 1142.96 89.5002 1138.6 89.5002L1012.4 89.5C1008.04 89.5 1004.5 85.9631 1004.5 81.6Z" stroke="#000000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="700" font-size="21" transform="translate(1025.24 43)">Correlation <tspan font-size="21" x="28.8666" y="23">tests</tspan></text><path d="M1144.5 570.9C1144.5 567.365 1147.37 564.5 1150.9 564.5L1263.1 564.5C1266.63 564.5 1269.5 567.365 1269.5 570.9L1269.5 622.1C1269.5 625.635 1266.63 628.5 1263.1 628.5L1150.9 628.5C1147.37 628.5 1144.5 625.635 1144.5 622.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(1171.67 602)">Pearson</text><path d="M1144.5 639.9C1144.5 636.365 1147.37 633.5 1150.9 633.5L1263.1 633.5C1266.63 633.5 1269.5 636.365 1269.5 639.9L1269.5 691.1C1269.5 694.635 1266.63 697.5 1263.1 697.5L1150.9 697.5C1147.37 697.5 1144.5 694.635 1144.5 691.1Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(1162.53 671)">Spearman</text><path d="M756.5 570.9C756.5 567.365 759.365 564.5 762.9 564.5L905.1 564.5C908.635 564.5 911.5 567.365 911.5 570.9L911.5 622.1C911.5 625.635 908.635 628.5 905.1 628.5L762.9 628.5C759.365 628.5 756.5 625.635 756.5 622.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(806.291 590)">Paired <tspan font-size="21" x="-32.46" y="23">trend analysis</tspan></text><path d="M756.5 640C756.5 636.41 759.41 633.5 763 633.5L905 633.5C908.59 633.5 911.5 636.41 911.5 640L911.5 692C911.5 695.59 908.59 698.5 905 698.5L763 698.5C759.41 698.5 756.5 695.59 756.5 692Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(812.995 671)">Page</text><path d="M937.5 570.9C937.5 567.365 940.365 564.5 943.9 564.5L1085.1 564.5C1088.63 564.5 1091.5 567.365 1091.5 570.9L1091.5 622.1C1091.5 625.635 1088.63 628.5 1085.1 628.5L943.9 628.5C940.365 628.5 937.5 625.635 937.5 622.1Z" stroke="#04A9B5" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.901961" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(974.262 590)">Unpaired <tspan font-size="21" x="-19.7333" y="23">trend analysis</tspan></text><path d="M937.5 639.9C937.5 636.365 940.365 633.5 943.9 633.5L1085.1 633.5C1088.63 633.5 1091.5 636.365 1091.5 639.9L1091.5 691.1C1091.5 694.635 1088.63 697.5 1085.1 697.5L943.9 697.5C940.365 697.5 937.5 694.635 937.5 691.1Z" stroke="#C00000" stroke-linejoin="round" stroke-miterlimit="10" stroke-opacity="0.768627" fill="#FFFFFF" fill-rule="evenodd" fill-opacity="0.901961"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="21" transform="translate(965.095 671)">Jonckheere</text><path d="M810.5 508C810.5 491.708 862.211 478.5 926 478.5 989.789 478.5 1041.5 491.708 1041.5 508 1041.5 524.292 989.789 537.5 926 537.5 862.211 537.5 810.5 524.292 810.5 508Z" stroke="#000000" stroke-width="0.666667" stroke-miterlimit="8" fill="#FFFFFF" fill-rule="evenodd"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="19" transform="translate(855 502)">Paired or unpaired <tspan font-size="19" x="33.0533" y="23">samples ?</tspan></text><path d="M0.094056-0.319788 85.5766 24.8223 85.3885 25.4619-0.094056 0.319788ZM85.3321 20.9284 91.8783 27.0232 83.0747 28.6033Z" transform="matrix(-1 0 0 1 926.378 537.5)"/><path d="M925.596 537.181 1008.03 562.084 1007.84 562.723 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