{"id":29176,"date":"2023-08-28T08:29:01","date_gmt":"2023-08-28T11:29:01","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/hypothesis-testing-copy\/"},"modified":"2024-12-05T15:51:53","modified_gmt":"2024-12-05T18:51:53","slug":"one-way-anova","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/el\/one-way-anova\/","title":{"rendered":"One-Way ANOVA: \u039a\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7, \u03b4\u03b9\u03b5\u03be\u03b1\u03b3\u03c9\u03b3\u03ae \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03b7"},"content":{"rendered":"<p>\u0397 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 (ANOVA) \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u0395\u03b9\u03b4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1, \u03b7 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 ANOVA \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03c7\u03bd\u03ac \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03b5\u03bd\u03b9\u03b1\u03af\u03b1\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03bf\u03cd\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03c3\u03b5 \u03b4\u03cd\u03bf \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03ba\u03b1\u03c4\u03b7\u03b3\u03bf\u03c1\u03b9\u03ba\u03ad\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2. \u0397 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b1\u03c5\u03c4\u03ae \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03c3\u03b5 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03bf\u03c5\u03c2 \u03c4\u03bf\u03bc\u03b5\u03af\u03c2, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03c9\u03bd \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd, \u03c4\u03c9\u03bd \u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03b9\u03ba\u03ce\u03bd \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c6\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03ce\u03bd, \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u0397 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b2\u03b1\u03c3\u03b9\u03ba\u03ce\u03bd \u03b1\u03c1\u03c7\u03ce\u03bd \u03c4\u03b7\u03c2 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7\u03c2 ANOVA \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b2\u03bf\u03b7\u03b8\u03ae\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b1\u03bb\u03c5\u03c4\u03ad\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03bd\u03b1 \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2 \u03b2\u03ac\u03c3\u03b5\u03b9 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd. \u03a3\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf, \u03b8\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03b5\u03c1\u03ce\u03c2 \u03c4\u03b7\u03bd \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03c4\u03b7\u03c2 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7\u03c2 ANOVA \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03c3\u03c5\u03b6\u03b7\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c4\u03b7\u03c2, \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ad\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ac \u03ac\u03bb\u03bb\u03b1.<\/p>\n\n\n\n<h2 id=\"h-what-is-one-way-anova\"><strong>\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 one-way ANOVA;<\/strong><\/h2>\n\n\n\n<p>\u0397 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 (ANOVA) \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ce\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd. \u03a7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03c3\u03b5 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03c0\u03b9\u03b4\u03c1\u03ac\u03c3\u03b5\u03c9\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03b8\u03b5\u03c1\u03b1\u03c0\u03b5\u03b9\u03ce\u03bd \u03ae \u03c0\u03b1\u03c1\u03b5\u03bc\u03b2\u03ac\u03c3\u03b5\u03c9\u03bd \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1.<\/p>\n\n\n\n<p>\u0397 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03b9\u03b4\u03ad\u03b1 \u03c0\u03af\u03c3\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd ANOVA \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c4\u03bc\u03b7\u03b8\u03b5\u03af \u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03b5 \u03b4\u03cd\u03bf \u03c3\u03c5\u03bd\u03b9\u03c3\u03c4\u03ce\u03c3\u03b5\u03c2: \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ae \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (\u03bb\u03cc\u03b3\u03c9 \u03c4\u03b7\u03c2 \u03b8\u03b5\u03c1\u03b1\u03c0\u03b5\u03af\u03b1\u03c2) \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ae \u03b5\u03bd\u03c4\u03cc\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 (\u03bb\u03cc\u03b3\u03c9 \u03c4\u03b7\u03c2 \u03c4\u03c5\u03c7\u03b1\u03af\u03b1\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b1\u03c4\u03bf\u03bc\u03b9\u03ba\u03ce\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd). \u039f \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 ANOVA \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F, \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd.<\/p>\n\n\n\n<p>\u0395\u03ac\u03bd \u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03ac \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae p-value \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03b1\u03b8\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 (\u03c0.\u03c7. 0,05), \u03c5\u03c0\u03bf\u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b9\u03c3\u03c7\u03c5\u03c1\u03ad\u03c2 \u03b5\u03bd\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03bf\u03b4\u03b7\u03bb\u03ce\u03bd\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03ad\u03bd\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03bc\u03ad\u03c3\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2. \u03a3\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03c0\u03b5\u03c1\u03b1\u03b9\u03c4\u03ad\u03c1\u03c9 post hoc \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03c0\u03bf\u03b9\u03b5\u03c2 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2. \u039c\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03b2\u03ac\u03c3\u03b5\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03bf post hoc \u03c3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03cc \u03bc\u03b1\u03c2 \"<a href=\"https:\/\/mindthegraph.com\/blog\/post-hoc-analysis\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 Post Hoc: \u0394\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03cd\u03c0\u03bf\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ce\u03bd<\/a>&#8220;.<\/p>\n\n\n\n<p>\u0397 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 ANOVA \u03c5\u03c0\u03bf\u03b8\u03ad\u03c4\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03ad\u03bc\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ac \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03b1\u03c0\u03bf\u03ba\u03bb\u03af\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b5\u03c2. \u0395\u03ac\u03bd \u03bf\u03b9 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03b4\u03b5\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03bf\u03af \u03bc\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03bf\u03af \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03b9.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/researcher.life\/all-access-pricing?utm_source=mtg&amp;utm_campaign=all-access-promotion&amp;utm_medium=blog\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"410\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-1024x410.png\" alt=\"\" class=\"wp-image-55425\" srcset=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-1024x410.png 1024w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-300x120.png 300w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-768x307.png 768w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-1536x615.png 1536w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-2048x820.png 2048w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-18x7.png 18w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/08\/Banner3-100x40.png 100w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<h2 id=\"h-how-is-one-way-anova-used\"><strong>\u03a0\u03ce\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 ANOVA;<\/strong><\/h2>\n\n\n\n<p>\u0397 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 ANOVA \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03b5\u03ac\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03b4\u03cd\u03bf \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03c9\u03bd \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u03a7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03c4\u03b7\u03c2 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7\u03c2 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03bc\u03ad\u03c3\u03bf\u03b9 \u03cc\u03bb\u03c9\u03bd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03bf\u03b9 \u03ad\u03bd\u03b1\u03bd\u03c4\u03b9 \u03c4\u03b7\u03c2 \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7\u03c2 \u03cc\u03c4\u03b9 \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03ad\u03bd\u03b1\u03c2 \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2.<\/p>\n\n\n\n<h2 id=\"h-assumptions-of-anova\"><strong>\u03a0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ad\u03c2 \u03c4\u03b7\u03c2 ANOVA<\/strong><\/h2>\n\n\n\n<p>\u0397 ANOVA \u03ad\u03c7\u03b5\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03ad\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03bb\u03b7\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c0\u03c1\u03bf\u03ba\u03b5\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03be\u03b9\u03cc\u03c0\u03b9\u03c3\u03c4\u03b1. \u039f\u03b9 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<ul>\n<li><strong>\u039a\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1:<\/strong> \u0397 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ac \u03ba\u03b1\u03c4\u03b1\u03bd\u03b5\u03bc\u03b7\u03bc\u03ad\u03bd\u03b7 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1. \u0391\u03c5\u03c4\u03cc \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03bb\u03b5\u03b3\u03c7\u03b8\u03b5\u03af \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b9\u03c3\u03c4\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03ac\u03c4\u03c9\u03bd, \u03b4\u03b9\u03b1\u03b3\u03c1\u03b1\u03bc\u03bc\u03ac\u03c4\u03c9\u03bd \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ae \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03b4\u03bf\u03ba\u03b9\u03bc\u03ce\u03bd \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae Shapiro-Wilk.<\/li>\n\n\n\n<li><strong>\u039f\u03bc\u03bf\u03b9\u03bf\u03b3\u03ad\u03bd\u03b5\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2: <\/strong>\u0397 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03af\u03c3\u03b7 \u03c3\u03b5 \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2. \u0391\u03c5\u03c4\u03cc \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03bb\u03b5\u03b3\u03c7\u03b8\u03b5\u03af \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03b4\u03bf\u03ba\u03b9\u03bc\u03ce\u03bd, \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03b1\u03c3\u03af\u03b1 Levene \u03ae \u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03b1\u03c3\u03af\u03b1 Bartlett.<\/li>\n\n\n\n<li><strong>\u0391\u03bd\u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03c3\u03af\u03b1: <\/strong>\u039f\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2. \u0391\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03b4\u03b5\u03bd \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ae \u03bd\u03b1 \u03b5\u03be\u03b1\u03c1\u03c4\u03ce\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c3\u03b5 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03ac\u03bb\u03bb\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1.<\/li>\n\n\n\n<li><strong>\u03a4\u03c5\u03c7\u03b1\u03af\u03b1 \u03b4\u03b5\u03b9\u03b3\u03bc\u03b1\u03c4\u03bf\u03bb\u03b7\u03c8\u03af\u03b1:<\/strong> \u039f\u03b9 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03c5\u03c7\u03b1\u03af\u03b1 \u03b4\u03b5\u03b9\u03b3\u03bc\u03b1\u03c4\u03bf\u03bb\u03b7\u03c8\u03af\u03b1. \u0391\u03c5\u03c4\u03cc \u03b4\u03b9\u03b1\u03c3\u03c6\u03b1\u03bb\u03af\u03b6\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b3\u03b5\u03bd\u03b9\u03ba\u03b5\u03c5\u03c4\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf\u03bd \u03b5\u03c5\u03c1\u03cd\u03c4\u03b5\u03c1\u03bf \u03c0\u03bb\u03b7\u03b8\u03c5\u03c3\u03bc\u03cc.<\/li>\n<\/ul>\n\n\n\n<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03c4\u03b5 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03c4\u03b7\u03c2 ANOVA, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03b7 \u03c0\u03b1\u03c1\u03b1\u03b2\u03af\u03b1\u03c3\u03ae \u03c4\u03bf\u03c5\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c3\u03b5 \u03b1\u03bd\u03b1\u03ba\u03c1\u03b9\u03b2\u03ae \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03ac\u03c3\u03bc\u03b1\u03c4\u03b1. \u0395\u03ac\u03bd \u03c0\u03b1\u03c1\u03b1\u03b2\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03af\u03b1 \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2, \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u03bc\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03b1\u03bd\u03c4\u03af \u03b1\u03c5\u03c4\u03ce\u03bd.<\/p>\n\n\n\n<h2 id=\"h-performing-a-one-way-anova\"><strong>\u0395\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7\u03c2 ANOVA<\/strong><\/h2>\n\n\n\n<p>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03b4\u03c1\u03cc\u03bc\u03bf\u03c5, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03b5\u03be\u03ae\u03c2 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1:<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 1:<\/strong> \u0391\u03bd\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2<\/p>\n\n\n\n<p>\u039f\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7. \u0397 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u0397 \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03ad\u03bd\u03b1\u03c2 \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 2:<\/strong> \u03a3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd<\/p>\n\n\n\n<p>\u03a3\u03c5\u03bb\u03bb\u03ad\u03be\u03c4\u03b5 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c0\u03bf\u03c5 \u03b8\u03ad\u03bb\u03b5\u03c4\u03b5 \u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5. \u039a\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b7 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 3:<\/strong> \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7 \u03bc\u03ad\u03c3\u03b7 \u03c4\u03b9\u03bc\u03ae \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2<\/p>\n\n\n\n<p>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7 \u03bc\u03ad\u03c3\u03b7 \u03c4\u03b9\u03bc\u03ae \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bb\u03bb\u03ad\u03be\u03b1\u03c4\u03b5.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 4:<\/strong> \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7<\/p>\n\n\n\n<p>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 5:<\/strong> \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (SSB)<\/p>\n\n\n\n<p>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (SSB) \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf:<\/p>\n\n\n\n<p>SSB = \u03a3ni (x\u0304i - x\u0304)^2<\/p>\n\n\n\n<p>\u03cc\u03c0\u03bf\u03c5 ni \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c4\u03b7\u03c2 i-\u03bf\u03c3\u03c4\u03ae\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2, x\u0304i \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2 i-\u03bf\u03c3\u03c4\u03ae\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03ba\u03b1\u03b9 x\u0304 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc\u03c2 \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 6:<\/strong> \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (SSW)<\/p>\n\n\n\n<p>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (SSW) \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf:<\/p>\n\n\n\n<p>SSW = \u03a3\u03a3(xi - x\u0304i)^2<\/p>\n\n\n\n<p>\u03cc\u03c0\u03bf\u03c5 xi \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 i-\u03bf\u03c3\u03c4\u03ae \u03c0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd j-\u03bf\u03c3\u03c4\u03ae \u03bf\u03bc\u03ac\u03b4\u03b1, x\u0304i \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2 j-\u03bf\u03c3\u03c4\u03ae\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03ba\u03b1\u03b9 j \u03ba\u03c5\u03bc\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc 1 \u03ad\u03c9\u03c2 k \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 7: <\/strong>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F<\/p>\n\n\n\n<p>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc F \u03b4\u03b9\u03b1\u03b9\u03c1\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (SSB) \u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (SSW):<\/p>\n\n\n\n<p>F = (SSB \/ (k - 1)) \/ (SSW \/ (n - k))<\/p>\n\n\n\n<p>\u03cc\u03c0\u03bf\u03c5 k \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03ba\u03b1\u03b9 n \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 8:<\/strong> \u03a0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 F \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae p-value<\/p>\n\n\n\n<p>\u03a0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 F \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b7 \u03c4\u03b9\u03bc\u03ae p \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03bf \u03b5\u03c0\u03b9\u03b8\u03c5\u03bc\u03b7\u03c4\u03cc \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd\u03c2 \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 9:<\/strong> \u03a3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03b6\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F \u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 F<\/p>\n\n\n\n<p>\u0395\u03ac\u03bd \u03b7 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03b6\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 F, \u03b1\u03c0\u03bf\u03c1\u03c1\u03af\u03c8\u03c4\u03b5 \u03c4\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03ac\u03bd\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03b4\u03cd\u03bf \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u0395\u03ac\u03bd \u03c4\u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf F-statistic \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03ae \u03af\u03c3\u03bf \u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 F, \u03bc\u03b7\u03bd \u03b1\u03c0\u03bf\u03c1\u03c1\u03af\u03c8\u03b5\u03c4\u03b5 \u03c4\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03ac\u03bd\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd.<\/p>\n\n\n\n<p><strong>\u0392\u03ae\u03bc\u03b1 10:<\/strong> \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 post hoc (\u03b5\u03ac\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03b1\u03c1\u03b1\u03af\u03c4\u03b7\u03c4\u03bf)<\/p>\n\n\n\n<p>\u0395\u03ac\u03bd \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03b9\u03c6\u03b8\u03b5\u03af, \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03c4\u03b5 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 post hoc \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03b5\u03c4\u03b5 \u03c0\u03bf\u03b9\u03b5\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2. \u039f\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03b5\u03b9\u03c2 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 post hoc \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae HSD \u03c4\u03bf\u03c5 Tukey, \u03c4\u03b7 \u03b4\u03b9\u03cc\u03c1\u03b8\u03c9\u03c3\u03b7 Bonferroni \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae Scheffe.<\/p>\n\n\n\n<h2 id=\"h-interpreting-the-results\"><strong>\u0395\u03c1\u03bc\u03b7\u03bd\u03b5\u03af\u03b1 \u03c4\u03c9\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd<\/strong><\/h2>\n\n\n\n<p>\u039c\u03b5\u03c4\u03ac \u03c4\u03b7 \u03b4\u03b9\u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7\u03c2 ANOVA, \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03c5\u03b8\u03bf\u03cd\u03bd \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<p><strong>F-statistic \u03ba\u03b1\u03b9 p-value: <\/strong>\u0397 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F \u03bc\u03b5\u03c4\u03c1\u03ac \u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u0397 \u03c4\u03b9\u03bc\u03ae p \u03c5\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c8\u03b5\u03b9 \u03ad\u03bd\u03b1 F-\u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03c4\u03cc\u03c3\u03bf \u03b1\u03ba\u03c1\u03b1\u03af\u03bf \u03cc\u03c3\u03bf \u03b1\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03bd \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bb\u03b7\u03b8\u03ae\u03c2. \u039c\u03b9\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ae \u03c4\u03b9\u03bc\u03ae p-value (\u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 0,05) \u03c5\u03c0\u03bf\u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03b9\u03c3\u03c7\u03c5\u03c1\u03ad\u03c2 \u03b5\u03bd\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03c2 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7\u03c2, \u03c5\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03b4\u03cd\u03bf \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd.<\/p>\n\n\n\n<p><strong>\u0392\u03b1\u03b8\u03bc\u03bf\u03af \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2: <\/strong>\u039f\u03b9 \u03b2\u03b1\u03b8\u03bc\u03bf\u03af \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 k-1 \u03ba\u03b1\u03b9 N-k, \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1, \u03cc\u03c0\u03bf\u03c5 k \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03ba\u03b1\u03b9 N \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n\n\n\n<p><strong>\u039c\u03ad\u03c3\u03bf \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1:<\/strong><em> <\/em>\u03a4\u03bf \u03bc\u03ad\u03c3\u03bf \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 (MSE) \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03b8\u03c1\u03bf\u03af\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd\u03c2 \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2. \u0391\u03c5\u03c4\u03cc \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03b9\u03bc\u03ce\u03bc\u03b5\u03bd\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7 \u03c3\u03c5\u03bd\u03b5\u03ba\u03c4\u03af\u03bc\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd.<\/p>\n\n\n\n<p><strong>\u039c\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2:<\/strong> \u03a4\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03c4\u03c1\u03b7\u03b8\u03b5\u03af \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 eta (\u03b7\u00b2), \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03c4\u03bf \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03cc \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03be\u03b7\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u039f\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03b5\u03b9\u03c2 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03af\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03bf\u03c5 eta-squared \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<p>\u039c\u03b9\u03ba\u03c1\u03ae \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7: \u03b7\u00b2 &lt; 0,01<\/p>\n\n\n\n<p>\u039c\u03ad\u03c4\u03c1\u03b9\u03b1 \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7: 0,01 \u2264 \u03b7\u00b2 &lt; 0,06<\/p>\n\n\n\n<p>\u039c\u03b5\u03b3\u03ac\u03bb\u03b7 \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7: \u03b7\u00b2 \u2265 0,06<\/p>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\/blog\/post-hoc-analysis\/\"><strong>\u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 post hoc:<\/strong><\/a> \u0395\u03ac\u03bd \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03b9\u03c6\u03b8\u03b5\u03af, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b9\u03b5\u03be\u03b1\u03c7\u03b8\u03b5\u03af \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 post hoc \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03c0\u03bf\u03b9\u03b5\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2. \u0391\u03c5\u03c4\u03cc \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c6\u03cc\u03c1\u03c9\u03bd \u03b4\u03bf\u03ba\u03b9\u03bc\u03ce\u03bd, \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03b1\u03c3\u03af\u03b1 HSD \u03c4\u03bf\u03c5 Tukey, \u03b7 \u03b4\u03b9\u03cc\u03c1\u03b8\u03c9\u03c3\u03b7 Bonferroni \u03ae \u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03b1\u03c3\u03af\u03b1 Scheffe.<\/p>\n\n\n\n<p>\u03a4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03c4\u03bf\u03c5 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b5\u03c1\u03c9\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ce\u03bd \u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2. \u0395\u03ac\u03bd \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ad\u03c2 \u03b4\u03b5\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03ae \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03c3\u03b9\u03bc\u03b1, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c7\u03c1\u03b5\u03b9\u03b1\u03c3\u03c4\u03bf\u03cd\u03bd \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 \u03ae \u03c4\u03c1\u03bf\u03c0\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2.<\/p>\n\n\n\n<h2 id=\"h-post-hoc-testing\"><strong>\u0394\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 post hoc<\/strong><\/h2>\n\n\n\n<p>\u03a3\u03c4\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae, \u03b7 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 ANOVA \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03c1\u03b9\u03ce\u03bd \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u0391\u03c6\u03bf\u03cd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03bc\u03b9\u03b1 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae ANOVA \u03ba\u03b1\u03b9 \u03b1\u03bd \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03b9\u03c6\u03b8\u03b5\u03af, \u03c0\u03c1\u03ac\u03b3\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b5\u03bd\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03bf\u03b4\u03b7\u03bb\u03ce\u03bd\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03ad\u03bd\u03b1\u03c2 \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b9\u03b5\u03be\u03b1\u03c7\u03b8\u03b5\u03af \u03bc\u03b9\u03b1 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae post hoc \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03c0\u03bf\u03b9\u03b5\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2.<\/p>\n\n\n\n<p>\u039f\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 post hoc \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc \u03c4\u03c9\u03bd \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03c9\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd. \u039f\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03ba\u03bf\u03b9\u03bd\u03ad\u03c2 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 post hoc \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03b9\u03bb\u03b9\u03ba\u03c1\u03b9\u03bd\u03ae \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac (HSD) \u03c4\u03bf\u03c5 Tukey, \u03c4\u03b7 \u03b4\u03b9\u03cc\u03c1\u03b8\u03c9\u03c3\u03b7 Bonferroni, \u03c4\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf Scheffe \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae Dunnett. \u039a\u03b1\u03b8\u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03c4\u03b5\u03c3\u03c4 \u03ad\u03c7\u03b5\u03b9 \u03c4\u03b9\u03c2 \u03b4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ad\u03c2, \u03c0\u03bb\u03b5\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c4\u03bf\u03c5 \u03c4\u03b5\u03c3\u03c4 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03b5\u03be\u03b1\u03c1\u03c4\u03ac\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03b5\u03c1\u03ce\u03c4\u03b7\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/p>\n\n\n\n<p>\u03a3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ac, \u03bf\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 post hoc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03bf\u03c7\u03ae \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03b5\u03c1\u03ad\u03c3\u03c4\u03b5\u03c1\u03c9\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ce\u03bd \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 ANOVA \u03b5\u03bd\u03cc\u03c2 \u03b4\u03c1\u03cc\u03bc\u03bf\u03c5. \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 \u03bc\u03b5 \u03c0\u03c1\u03bf\u03c3\u03bf\u03c7\u03ae \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c4\u03bf \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03c4\u03bf\u03c5 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b5\u03c1\u03c9\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b5\u03b9\u03b4\u03b9\u03ba\u03ce\u03bd \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/p>\n\n\n\n<p>\u039c\u03ac\u03b8\u03b5\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 Post Hoc \u03c3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03cc \u03bc\u03b1\u03c2 \"<a href=\"https:\/\/mindthegraph.com\/blog\/post-hoc-analysis\/\">\u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 Post Hoc: \u0394\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03cd\u03c0\u03bf\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ce\u03bd<\/a>&#8220;.<\/p>\n\n\n\n<h2 id=\"h-reporting-the-results-of-anova\"><strong>\u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03c9\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03c4\u03b7\u03c2 ANOVA<\/strong><\/h2>\n\n\n\n<p>\u039a\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03c9\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03bc\u03b9\u03b1\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 ANOVA, \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2:<\/p>\n\n\n\n<p><strong>\u03a4\u03bf \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc F: <\/strong>\u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd ANOVA \u03ba\u03b1\u03b9 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd.<\/p>\n\n\n\n<p><strong>\u039f\u03b9 \u03b2\u03b1\u03b8\u03bc\u03bf\u03af \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F:<\/strong> \u0391\u03c5\u03c4\u03cc \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd\u03c2 \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03ae (\u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ae \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd) \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03c0\u03b1\u03c1\u03bf\u03bd\u03bf\u03bc\u03b1\u03c3\u03c4\u03ae (\u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ae \u03b5\u03bd\u03c4\u03cc\u03c2 \u03c4\u03c9\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd).<\/p>\n\n\n\n<p><strong>\u0397 \u03c4\u03b9\u03bc\u03ae p-value: <\/strong>\u0391\u03c5\u03c4\u03ae \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c8\u03b5\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F (\u03ae \u03bc\u03b9\u03b1 \u03c0\u03b9\u03bf \u03b1\u03ba\u03c1\u03b1\u03af\u03b1 \u03c4\u03b9\u03bc\u03ae) \u03bc\u03cc\u03bd\u03bf \u03b1\u03c0\u03cc \u03c4\u03cd\u03c7\u03b7, \u03c5\u03c0\u03bf\u03b8\u03ad\u03c4\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bb\u03b7\u03b8\u03ae\u03c2.<\/p>\n\n\n\n<p><strong>\u039c\u03b9\u03b1 \u03b4\u03ae\u03bb\u03c9\u03c3\u03b7 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03bf \u03b1\u03bd \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03af\u03c6\u03b8\u03b7\u03ba\u03b5 \u03ae \u03cc\u03c7\u03b9:<\/strong> \u0391\u03c5\u03c4\u03cc \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae p-value \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 (\u03c0.\u03c7., \u03ac\u03bb\u03c6\u03b1 = 0,05).<\/p>\n\n\n\n<p><strong>\u039c\u03b9\u03b1 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae post hoc:<\/strong> \u0395\u03ac\u03bd \u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03b9\u03c6\u03b8\u03b5\u03af, \u03c4\u03cc\u03c4\u03b5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c6\u03b5\u03c1\u03b8\u03bf\u03cd\u03bd \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 post hoc \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03c0\u03bf\u03b9\u03b5\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2.<\/p>\n\n\n\n<p>\u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03ad\u03bd\u03b1 \u03b4\u03b5\u03af\u03b3\u03bc\u03b1 \u03ad\u03ba\u03b8\u03b5\u03c3\u03b7\u03c2 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<p>\u03a0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03b4\u03c1\u03cc\u03bc\u03bf\u03c5 (one-way ANOVA) \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03b9\u03b8\u03bf\u03cd\u03bd \u03bf\u03b9 \u03bc\u03ad\u03c3\u03b5\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c4\u03c1\u03b9\u03ce\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd (\u03bf\u03bc\u03ac\u03b4\u03b1 \u0391, \u03bf\u03bc\u03ac\u03b4\u03b1 \u0392 \u03ba\u03b1\u03b9 \u03bf\u03bc\u03ac\u03b4\u03b1 \u0393) \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b4\u03bf\u03ba\u03b9\u03bc\u03b1\u03c3\u03af\u03b1 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03bd\u03ae\u03bc\u03b7\u03c2. \u0397 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae F \u03ae\u03c4\u03b1\u03bd 4,58 \u03bc\u03b5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd\u03c2 \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2 2, 87 \u03ba\u03b1\u03b9 p-value 0,01. \u0397 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03af\u03c6\u03b8\u03b7\u03ba\u03b5, \u03c5\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ae\u03c1\u03c7\u03b5 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03b9\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03bd\u03ae\u03bc\u03b7\u03c2 \u03c3\u03b5 \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03bc\u03af\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2. \u03bf \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 post hoc \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03bf\u03c5 HSD \u03c4\u03bf\u03c5 Tukey \u03ad\u03b4\u03b5\u03b9\u03be\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03bc\u03ad\u03c3\u03b7 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u0391 (M = 83,4, SD = 4,2) \u03ae\u03c4\u03b1\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03c5\u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bf\u03bc\u03ac\u03b4\u03b1 \u0392 (M = 76,9, SD = 5,5) \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03bf\u03bc\u03ac\u03b4\u03b1 \u0393 (M = 77,6, SD = 5,3), \u03bf\u03b9 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03b4\u03b5\u03bd \u03b4\u03b9\u03ad\u03c6\u03b5\u03c1\u03b1\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2.<\/p>\n\n\n\n<h2 id=\"h-find-the-perfect-infographic-template-for-you\"><strong>\u0392\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03bf infographic \u03b3\u03b9\u03b1 \u03b5\u03c3\u03ac\u03c2<\/strong><\/h2>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mind the Graph<\/a> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03b5\u03c1\u03ac\u03c3\u03c4\u03b9\u03b1 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03c0\u03c1\u03bf-\u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c0\u03c1\u03bf\u03c4\u03cd\u03c0\u03c9\u03bd infographic \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03bf\u03b7\u03b8\u03ae\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03bf\u03c5\u03bd \u03bf\u03c0\u03c4\u03b9\u03ba\u03ac \u03b2\u03bf\u03b7\u03b8\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03bf\u03cd\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2. \u0397 \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c0\u03c1\u03cc\u03c3\u03b2\u03b1\u03c3\u03b7 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ce\u03bd \u03b1\u03c0\u03b5\u03b9\u03ba\u03bf\u03bd\u03af\u03c3\u03b5\u03c9\u03bd, \u03b4\u03b9\u03b1\u03c3\u03c6\u03b1\u03bb\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03b5\u03cd\u03ba\u03bf\u03bb\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03c5\u03bd \u03c4\u03bf \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03bf infographic \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bd \u03bf\u03c0\u03c4\u03b9\u03ba\u03ac \u03c4\u03b1 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c5\u03c1\u03ae\u03bc\u03b1\u03c4\u03b1.<\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/mindthegraph.com\/offer-trial\"><img decoding=\"async\" loading=\"lazy\" width=\"651\" height=\"174\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/banner-blog-trial-04.jpg\" alt=\"\" class=\"wp-image-26792\" srcset=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/banner-blog-trial-04.jpg 651w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/banner-blog-trial-04-300x80.jpg 300w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/banner-blog-trial-04-18x5.jpg 18w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/banner-blog-trial-04-100x27.jpg 100w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><\/a><\/figure><\/div>\n\n\n<div style=\"height:44px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>","protected":false},"excerpt":{"rendered":"<p>\u039c\u03ac\u03b8\u03b5\u03c4\u03b5 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03bf\u03bd\u03cc\u03b4\u03c1\u03bf\u03bc\u03b7 ANOVA, \u03bc\u03b9\u03b1 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ce\u03bd \u03bf\u03bc\u03ac\u03b4\u03c9\u03bd \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd, \u03ba\u03b1\u03b9 \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03b5\u03c4\u03b5.<\/p>","protected":false},"author":35,"featured_media":29180,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[959,28],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>One-Way ANOVA: 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