Kritické hodnoty jednovýběrového Wilcoxonova testu pro n = 6, 7, .., 30, a = 0,05 a a = 0,01 +--------------------------------------------------------------+ |n |a = 0,05 |a = 0,01 | | |-----------------------+-----------------------| | |krit. hodnota |krit. hodnota | |--------------+-----------------------+-----------------------| |6 |0 |- | |--------------+-----------------------+-----------------------| |7 |2 |- | |--------------+-----------------------+-----------------------| |8 |3 |0 | |--------------+-----------------------+-----------------------| |9 |5 |1 | |--------------+-----------------------+-----------------------| |10 |8 |3 | |--------------+-----------------------+-----------------------| |11 |10 |5 | |--------------+-----------------------+-----------------------| |12 |13 |7 | |--------------+-----------------------+-----------------------| |13 |17 |9 | |--------------+-----------------------+-----------------------| |14 |21 |12 | |--------------+-----------------------+-----------------------| |15 |25 |15 | |--------------+-----------------------+-----------------------| |16 |29 |19 | |--------------+-----------------------+-----------------------| |17 |34 |23 | |--------------+-----------------------+-----------------------| |18 |40 |27 | |--------------+-----------------------+-----------------------| |19 |46 |32 | |--------------+-----------------------+-----------------------| |20 |52 |37 | |--------------+-----------------------+-----------------------| |21 |58 |42 | |--------------+-----------------------+-----------------------| |22 |65 |48 | |--------------+-----------------------+-----------------------| |23 |73 |54 | |--------------+-----------------------+-----------------------| |24 |81 |61 | |--------------+-----------------------+-----------------------| |25 |89 |68 | |--------------+-----------------------+-----------------------| |26 |98 |75 | |--------------+-----------------------+-----------------------| |27 |107 |83 | |--------------+-----------------------+-----------------------| |28 |116 |91 | |--------------+-----------------------+-----------------------| |29 |126 |100 | |--------------+-----------------------+-----------------------| |30 |137 |109 | +--------------------------------------------------------------+ Zdroj: Anděl, J.: Matematická statistika. (Tabulka XVIII.9). Kritické hodnoty dvouvýběrového Wilcoxonova testu pro m = 1, 2, .., 30, n = 1, 2, ..., 30, a = 0,05 +--------------------------------------------------------------------------------------------+ | |n | |----+---------------------------------------------------------------------------------------| |m |1 |2 |3 |4 |5 |6 |7 |8 |9 |10 |11 |12 |13 |14 |15 |16 |17 |18 |19 |20 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |1 |- | | | | | | | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |2 |- |- | | | | | | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |3 |- |- |- | | | | | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |4 |- |- |- |0 | | | | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |5 |- |- |0 |1 |2 | | | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |6 |- |- |1 |2 |3 |5 | | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |7 |- |- |1 |3 |5 |6 |8 | | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |8 |- |0 |2 |4 |6 |8 |10 |13 | | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |9 |- |0 |2 |4 |7 |10 |12 |15 |17 | | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |10 |- |0 |3 |5 |8 |11 |14 |17 |20 |23 | | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |11 |-- |0 |3 |6 |9 |13 |16 |19 |23 |26 |30 | | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |12 |- |1 |4 |7 |11 |14 |18 |22 |26 |29 |33 |37 | | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |13 |- |1 |4 |8 |12 |16 |20 |24 |28 |33 |37 |41 |45 | | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |14 |- |1 |5 |9 |13 |17 |22 |26 |31 |36 |40 |45 |50 |55 | | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |15 |- |1 |5 |10 |14 |19 |24 |29 |34 |39 |44 |49 |54 |59 |64 | | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |16 |- |1 |6 |11 |15 |21 |26 |31 |37 |42 |47 |53 |59 |64 |70 |75 | | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |17 |- |2 |6 |11 |17 |22 |28 |34 |39 |45 |51 |57 |63 |69 |75 |81 |87 | | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |18 |- |2 |7 |12 |18 |24 |30 |36 |42 |48 |55 |61 |67 |74 |80 |86 |93 |99 | | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |19 |- |2 |7 |13 |19 |25 |32 |38 |45 |52 |58 |65 |72 |78 |85 |92 |99 |106 |113 | | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |20 |- |2 |8 |14 |20 |27 |34 |41 |48 |55 |62 |69 |76 |83 |90 |98 |105 |112 |119 |127 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |21 |- |2 |8 |15 |22 |29 |36 |43 |50 |58 |65 |73 |80 |88 |96 |103 |111 |119 |126 |134 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |22 |- |3 |9 |16 |23 |30 |38 |45 |53 |61 |69 |77 |85 |93 |101 |109 |117 |125 |133 |141 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |23 |- |3 |9 |17 |24 |32 |40 |48 |56 |64 |73 |81 |89 |98 |106 |115 |123 |132 |140 |149 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |24 |- |3 |10 |17 |25 |33 |42 |50 |59 |67 |76 |85 |94 |102 |111 |120 |129 |138 |147 |156 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |25 |- |3 |10 |18 |27 |35 |44 |53 |62 |71 |80 |89 |98 |107 |117 |126 |135 |145 |154 |161 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |26 |- |4 |11 |19 |28 |37 |46 |55 |64 |74 |83 |93 |102 |112 |122 |132 |141 |151 |161 |171 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |27 |- |4 |11 |20 |29 |38 |48 |57 |67 |77 |87 |97 |107 |117 |127 |137 |147 |158 |168 |178 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |28 |- |4 |12 |21 |30 |40 |50 |60 |70 |80 |90 |101 |111 |122 |132 |143 |154 |164 |175 |186 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |29 |- |4 |13 |22 |32 |42 |52 |62 |73 |83 |94 |105 |116 |127 |138 |149 |160 |171 |182 |193 | |----+---+--+---+---+---+---+---+---+---+---+---+----+----+----+----+----+----+----+----+----| |30 |- |5 |13 |23 |33 |43 |54 |65 |76 |87 |98 |109 |120 |131 |143 |154 |166 |177 |189 |200 | +--------------------------------------------------------------------------------------------+ Zdroj: Anděl, J.: Matematická statistika. (Tabulka XVIII.10a). Kritické hodnoty a modifikované kritické hodnoty Kolmogorovova -- Smirnovova testu pro n = 5, ..., 30, a = 0,05 +----------------------------------------------------------------------+ |n |D[n](a) |Modif. D[n](a) | |-----------------+--------------------------+-------------------------| |5 |0,563 |0,343 | |-----------------+--------------------------+-------------------------| |6 |0,519 |0,319 | |-----------------+--------------------------+-------------------------| |7 |0,483 |0,300 | |-----------------+--------------------------+-------------------------| |8 |0,454 |0,285 | |-----------------+--------------------------+-------------------------| |9 |0,430 |0,271 | |-----------------+--------------------------+-------------------------| |10 |0,409 |0,258 | |-----------------+--------------------------+-------------------------| |11 |0,391 |0,249 | |-----------------+--------------------------+-------------------------| |12 |0,375 |0,242 | |-----------------+--------------------------+-------------------------| |13 |0,361 |0,234 | |-----------------+--------------------------+-------------------------| |14 |0,349 |0,227 | |-----------------+--------------------------+-------------------------| |15 |0,338 |0,220 | |-----------------+--------------------------+-------------------------| |16 |0,327 |0,213 | |-----------------+--------------------------+-------------------------| |17 |0,318 |0,206 | |-----------------+--------------------------+-------------------------| |18 |0,309 |0,200 | |-----------------+--------------------------+-------------------------| |19 |0,301 |0,195 | |-----------------+--------------------------+-------------------------| |20 |0,294 |0,190 | |-----------------+--------------------------+-------------------------| |21 |0,287 |0,187 | |-----------------+--------------------------+-------------------------| |22 |0,281 |0,183 | |-----------------+--------------------------+-------------------------| |23 |0,275 |0,180 | |-----------------+--------------------------+-------------------------| |24 |0,242 |0,176 | |-----------------+--------------------------+-------------------------| |25 |0,238 |0,173 | |-----------------+--------------------------+-------------------------| |26 |0,233 |0,171 | |-----------------+--------------------------+-------------------------| |27 |0,229 |0,168 | |-----------------+--------------------------+-------------------------| |28 |0,225 |0,166 | |-----------------+--------------------------+-------------------------| |29 |0,221 |0,163 | |-----------------+--------------------------+-------------------------| |30 |0,218 |0,161 | +----------------------------------------------------------------------+ Zdroj: Sprent, P.: Nonparametric Statistical Method. Second edition. (Table IV) Kritické hodnoty pro Spearmanův koeficient pořadové korelace pro n = 5, 6, ..., 30, a = 0,05 +----------------------------------------------+ |n |kritická hodnota | |------------------+---------------------------| |5 |0,9 | |------------------+---------------------------| |6 |0,8286 | |------------------+---------------------------| |7 |0,745 | |------------------+---------------------------| |8 |0,6905 | |------------------+---------------------------| |9 |0,6833 | |------------------+---------------------------| |10 |0,6364 | |------------------+---------------------------| |11 |0,6091 | |------------------+---------------------------| |12 |0,5804 | |------------------+---------------------------| |13 |0,5549 | |------------------+---------------------------| |14 |0,5341 | |------------------+---------------------------| |15 |0,5179 | |------------------+---------------------------| |16 |0,5 | |------------------+---------------------------| |17 |0,4853 | |------------------+---------------------------| |18 |0,4716 | |------------------+---------------------------| |19 |0,4579 | |------------------+---------------------------| |20 |0,4451 | |------------------+---------------------------| |21 |0,4351 | |------------------+---------------------------| |22 |0,4241 | |------------------+---------------------------| |23 |0,415 | |------------------+---------------------------| |24 |0,4061 | |------------------+---------------------------| |25 |0,3977 | |------------------+---------------------------| |26 |0,3894 | |------------------+---------------------------| |27 |0,3822 | |------------------+---------------------------| |28 |0,3749 | |------------------+---------------------------| |29 |0,3685 | |------------------+---------------------------| |30 |0,362 | +----------------------------------------------+ Zdroj: J. Anděl: Matematická statistika, Tab. XVIII.6. Kritické hodnoty Neményiho metody, r = 3, 4, .., 10, n = 1, 2, ..., 25, a = 0,05 +------------------------------------------------------+ | |r | |--+---------------------------------------------------| |n |3 |4 |5 |6 |7 |8 |9 |10 | |--+-----+-----+-----+-----+------+------+------+------| |1 |3,3 |4,7 |6,1 |7,5 |9,0 |10,5 |12,0 |13,5 | |--+-----+-----+-----+-----+------+------+------+------| |2 |8,8 |12,6 |16,5 |20,5 |24,7 |28,9 |33,1 |37,4 | |--+-----+-----+-----+-----+------+------+------+------| |3 |15,7 |22,7 |29,9 |37,3 |44,8 |52,5 |60,3 |68,2 | |--+-----+-----+-----+-----+------+------+------+------| |4 |23,9 |34,6 |45,6 |57,0 |68,6 |80,4 |92,4 |104,6 | |--+-----+-----+-----+-----+------+------+------+------| |5 |33,1 |48,1 |63,5 |79,3 |95,5 |112,0 |128,8 |145,8 | |--+-----+-----+-----+-----+------+------+------+------| |6 |43,3 |62,9 |83,2 |104,0|125,3 |147,0 |169,1 |191,4 | |--+-----+-----+-----+-----+------+------+------+------| |7 |54,4 |79,1 |104,6|130,8|157,6 |184,9 |212,8 |240,9 | |--+-----+-----+-----+-----+------+------+------+------| |8 |66,3 |96,4 |127,6|159,6|192,4 |225,7 |259,7 |294,1 | |--+-----+-----+-----+-----+------+------+------+------| |9 |75,9 |114,8|152,0|190,2|229,3 |269,1 |309,6 |350,6 | |--+-----+-----+-----+-----+------+------+------+------| |10|92,3 |134,3|177,8|222,6|268,4 |315,0 |362,4 |410,5 | |--+-----+-----+-----+-----+------+------+------+------| |11|106,3|154,8|205,0|256,6|309,4 |363,2 |417,9 |473,3 | |--+-----+-----+-----+-----+------+------+------+------| |12|120,9|176,2|233,4|292,2|352,4 |413,6 |476,0 |539,1 | |--+-----+-----+-----+-----+------+------+------+------| |13|136,2|198,5|263,0|329,3|397,1 |466,2 |536,5 |607,7 | |--+-----+-----+-----+-----+------+------+------+------| |14|152,1|221,7|293,8|367,8|443,6 |520,8 |599,4 |679,0 | |--+-----+-----+-----+-----+------+------+------+------| |15|168,6|245,7|325,7|407,8|491,9 |577,4 |664,6 |752,8 | |--+-----+-----+-----+-----+------+------+------+------| |16|185,6|270,6|358,6|449,1|541,7 |635,9 |732,0 |829,2 | |--+-----+-----+-----+-----+------+------+------+------| |17|203,1|296,2|392,6|491,7|593,1 |696,3 |801,5 |907,9 | |--+-----+-----+-----+-----+------+------+------+------| |18|221,2|322,6|427,6|535,5|646,1 |758,5 |873,1 |989,0 | |--+-----+-----+-----+-----+------+------+------+------| |19|239,8|349,7|463,6|580,6|700,5 |822,4 |946,7 |1072,4| |--+-----+-----+-----+-----+------+------+------+------| |20|258,8|377,6|500,5|626,9|756,4 |888,1 |1022,3|1158,1| |--+-----+-----+-----+-----+------+------+------+------| |21|278,4|406,1|538,4|674,4|813,7 |955,4 |1099,8|1245,9| |--+-----+-----+-----+-----+------+------+------+------| |22|298,4|435,3|577,2|723,0|872,3 |1024,3|1179,1|1335,7| |--+-----+-----+-----+-----+------+------+------+------| |23|318,9|465,2|616,9|772,7|932,4 |1094,8|1260,3|1427,7| |--+-----+-----+-----+-----+------+------+------+------| |24|339,8|495,8|657,4|823,5|993,7 |1166,8|1343,2|1521,7| |--+-----+-----+-----+-----+------+------+------+------| |25|361,1|527,0|698,8|875,4|1056,3|1240,4|1427,9|1611,6| +------------------------------------------------------+ Zdroj: BLATNÁ, Dagmar: Neparametrické metody. Tabulka T21/1.