{"id":1550,"date":"2023-07-25T22:24:09","date_gmt":"2023-07-25T22:24:09","guid":{"rendered":"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/"},"modified":"2023-07-25T22:24:09","modified_gmt":"2023-07-25T22:24:09","slug":"multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/","title":{"rendered":"Multinomial test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a & #038; \u1025\u1015\u1019\u102c)"},"content":{"rendered":"

<\/p>\n

\n

\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u101c\u102d\u102f\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1018\u1000\u103a\u1005\u102f\u1036\u1021\u1019\u100a\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n

H 0<\/sub> :<\/strong> \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

H A<\/sub> :<\/strong> \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b<\/em> \u104b<\/span><\/p>\n

\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value<\/a> \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000 (\u1025\u1015\u1019\u102c \u03b1 = 0.05)\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f k<\/em> \u101a\u1030\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span> \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u1014\u103a\u1005\u102c\u1010\u102f\u1036\u1038\u1019\u103b\u102c\u1038 \u1010\u101b\u102c\u1038\u1019\u103b\u103e\u1010\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u101e\u1031\u1010\u1039\u1010\u102c\u1000\u102d\u102f \u101c\u103e\u102d\u1019\u1037\u103a\u101c\u102d\u102f\u1000\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1014\u1036\u1015\u102b\u1010\u103a (\u1041 \u1019\u103e \u1046) \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a 1\/6 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u101e\u1031\u1001\u103c\u1004\u103a\u1038\u1010\u101b\u102c\u1038\u101e\u100a\u103a \u1010\u101b\u102c\u1038\u1019\u103b\u103e\u1010\u1019\u103e\u102f \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u101c\u103e\u102d\u1019\u1037\u103a\u1015\u103c\u102e\u1038 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1014\u1036\u1015\u102b\u1010\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u101b\u1031\u102c\u1000\u103a\u101e\u100a\u1037\u103a \u1021\u1000\u103c\u102d\u1019\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a R \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u1038\u1019\u1004\u103a\u1038\u1018\u102c\u101e\u102c\u1005\u1000\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1025\u1015\u1019\u102c 1- Fair Dice<\/strong><\/span><\/h3>\n

\u101e\u1031\u1001\u103c\u1004\u103a\u1038\u1010\u101b\u102c\u1038\u101e\u100a\u103a \u1010\u101b\u102c\u1038\u1019\u103b\u103e\u1010\u1019\u103e\u102f \u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1012\u102b\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1016\u102d\u102f\u1037\u1021\u1010\u103d\u1000\u103a \u1021\u1000\u103c\u102d\u1019\u103a 30 \u101c\u1031\u102c\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u103c\u102e\u1038 \u101b\u101c\u1012\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u1032\u1037 \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u1015\u102b\u1010\u101a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1007\u101a\u102c\u1038\u101e\u100a\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span> <\/p>\n

\"Multinomial<\/p>\n

Multinomial \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a R \u101b\u103e\u102d \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n

 library<\/span> (EMT)\n\n#specify probability of each outcome\n<\/span>prob <- c(1\/6, 1\/6, 1\/6, 1\/6, 1\/6, 1\/6)\n\n#specify frequency of each outcome from experiment\n<\/span>actual <- c(4, 5, 2, 9, 5, 5)\n\n#perform multinomial test\n<\/span>multinomial. test<\/span> (actual, prob)<\/span> \n\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n    324632 0 0.4306<\/span><\/span><\/strong><\/pre>\n
 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.4306<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b \u1012\u102b\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u1014\u103a\u1005\u102c\u1010\u102f\u1036\u1038\u1010\u103d\u1031\u1000 \u1019\u1010\u101b\u102c\u1038\u1018\u1030\u1038\u101c\u102d\u102f\u1037 \u1015\u103c\u1031\u102c\u1016\u102d\u102f\u1037 \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u1010\u1032\u1037 \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038 \u1019\u101b\u103e\u102d\u1015\u102b\u1018\u1030\u1038\u104b<\/span><\/p>\n
 \u1025\u1015\u1019\u102c 2- \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u101b\u1031\u102c\u1004\u103a\u1038\u1021\u102c\u1038<\/strong><\/span><\/h3>\n
 \u1005\u1010\u102d\u102f\u1038\u1006\u102d\u102f\u1004\u103a\u1015\u102d\u102f\u1004\u103a\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1000\u102f\u1014\u103a\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1019\u103e \u101d\u101a\u103a\u101a\u1030\u101e\u1030\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1000\u103a\u101e\u1010\u1039\u1010\u1015\u1010\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u101d\u101a\u103a\u101a\u1030\u101e\u100a\u1037\u103a \u101e\u102f\u1036\u1038\u1005\u103d\u1032\u101e\u1030\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1007\u101a\u102c\u1038\u101e\u100a\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span> <\/p>\n
\"\"<\/p>\n
 \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u103d\u1004\u103a \u1021\u1019\u100a\u103a\u1015\u1031\u102b\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a R \u101b\u103e\u102d \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n
 library<\/span> (EMT)\n\n#specify probability of each outcome\n<\/span>prob <- c(1\/4, 1\/4, 1\/4, 1\/4)\n\n#specify frequency of each outcome from experiment\n<\/span>actual <- c(40, 20, 30, 50)\n\n#perform multinomial test\n<\/span>multinomial. test<\/span> (actual, prob)<\/span> \n\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n    477191 0 0.00226<\/span><\/span><\/strong><\/pre>\n
 \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.00226<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u1019\u100a\u103a\u104b \u1012\u102b\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u102f\u1014\u103a\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u101b\u1031\u102c\u1004\u103a\u1038\u1021\u102c\u1038\u1019\u100a\u102e\u1019\u103b\u103e\u1018\u1030\u1038\u101c\u102d\u102f\u1037 \u1015\u103c\u1031\u102c\u1016\u102d\u102f\u1037 \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u1010\u1032\u1037 \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n
 \u1025\u1015\u1019\u102c 3- \u1021\u102d\u1010\u103a\u1011\u1032\u1010\u103d\u1004\u103a \u1019\u102c\u1018\u101a\u103a\u101c\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n
 \u1021\u102d\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1021\u1014\u102e\u101b\u1031\u102c\u1004\u103a\u104a \u1021\u1005\u102d\u1019\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1001\u101b\u1019\u103a\u1038\u101b\u1031\u102c\u1004\u103a \u1005\u1000\u103b\u1004\u103a\u1000\u103b\u1031\u102c\u1000\u103a\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101b\u1014\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c 0.2\u104a 0.5 \u1014\u103e\u1004\u1037\u103a 0.3 \u1021\u101e\u102e\u1038\u101e\u102e\u1038\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 Tom \u1000 \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b \u1012\u102b\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1016\u102d\u102f\u1037\u1021\u1010\u103d\u1000\u103a \u101e\u1030\u1037\u101e\u1030\u1004\u101a\u103a\u1001\u103b\u1004\u103a\u1038 Mike \u101f\u102c \u1021\u102d\u1010\u103a\u1011\u1032\u1000\u102d\u102f \u101b\u1031\u102c\u1000\u103a\u101e\u103d\u102c\u1038\u1015\u103c\u102e\u1038 \u1019\u1010\u1030\u100a\u102e\u1010\u1032\u1037 \u1021\u1000\u103c\u102d\u1019\u103a 100 \u101b\u103e\u102d\u1010\u1032\u1037 \u1005\u1000\u103b\u1004\u103a\u1000\u103b\u1031\u102c\u1000\u103a\u1010\u1005\u103a\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1006\u103d\u1032\u1011\u102f\u1010\u103a\u101c\u102d\u102f\u1000\u103a\u1015\u102b\u1010\u101a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1007\u101a\u102c\u1038\u101e\u100a\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span> <\/p>\n
\"\"<\/p>\n
 \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u103d\u1004\u103a \u1021\u1019\u100a\u103a\u1015\u1031\u102b\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a R \u101b\u103e\u102d \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n
 library<\/span> (EMT)\n\n#specify probability of each outcome\n<\/span>prob <- c(.2, .5, .3)\n\n#specify frequency of each outcome from experiment\n<\/span>actual <- c(40, 20, 30, 50)\n\n#perform multinomial test\n<\/span>multinomial. test<\/span> (actual, prob)<\/span> \n\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n      5151 0.0037 0.3999<\/span><\/span><\/strong><\/pre>\n
 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.3999<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u102d\u1010\u103a\u1021\u1010\u103d\u1004\u103a\u1038\u1019\u103e \u1005\u1000\u103b\u1004\u103a\u1000\u103b\u1031\u102c\u1000\u103a\u1019\u103b\u102c\u1038 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a Tom \u1019\u103e \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038 \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n
 \u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n
 Multinomial Distribution \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a>
 Multinomial Distribution Calculator<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u101c\u102d\u102f\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1018\u1000\u103a\u1005\u102f\u1036\u1021\u1019\u100a\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b H 0 : \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b H A : \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b \u104b \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000 (\u1025\u1015\u1019\u102c \u03b1 = 0.05)\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f k \u101a\u1030\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"\nMultinomial Test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c)<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/multinomial-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Multinomial Test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c)\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/multinomial-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T22:24:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/\",\"url\":\"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/\",\"name\":\"Multinomial Test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-07-25T22:24:09+00:00\",\"dateModified\":\"2023-07-25T22:24:09+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/#breadcrumb\"},\"inLanguage\":\"my-MM\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u1021\u102d\u1019\u103a\",\"item\":\"https:\/\/statorials.org\/my\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Multinomial test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a & #038; \u1025\u1015\u1019\u102c)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/my\/#website\",\"url\":\"https:\/\/statorials.org\/my\/\",\"name\":\"Statorials\",\"description\":\"\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u101b\u100a\u103a\u1021\u1001\u103b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u1037\u103a\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u104b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/my\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"my-MM\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"my-MM\",\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"\u1019\u1004\u103a\u1039\u1002\u101c\u102c\u1015\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u101e\u100a\u103a \u1021\u1004\u103c\u102d\u1019\u103a\u1038\u1005\u102c\u1038 \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001 \u1018\u1004\u103a\u1002\u103b\u1019\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u102e\u1038\u101e\u1014\u1037\u103a Statorials \u1006\u101b\u102c\u1021\u1016\u103c\u1005\u103a \u101c\u103e\u100a\u1037\u103a\u1015\u1010\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1014\u101a\u103a\u1015\u101a\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u101a\u103a\u1015\u103c\u1014\u1037\u103a\u101e\u1031\u102c\u1021\u1010\u103d\u1031\u1037\u1021\u1000\u103c\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u103d\u1019\u103a\u1038\u1000\u103b\u1004\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030\u104a Statorials \u1019\u103e\u1010\u1005\u103a\u1006\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u104f\u1021\u101e\u102d\u1015\u100a\u102c\u1000\u102d\u102f \u1019\u103b\u103e\u101d\u1031\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1015\u102d\u102f\u101e\u102d\u1010\u101a\u103a\u104b\",\"sameAs\":[\"https:\/\/statorials.org\/my\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Multinomial Test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c)","description":"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/my\/multinomial-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/","og_locale":"my_MM","og_type":"article","og_title":"Multinomial Test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c)","og_description":"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b","og_url":"https:\/\/statorials.org\/my\/multinomial-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/","og_site_name":"Statorials","article_published_time":"2023-07-25T22:24:09+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest1.png"}],"author":"Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Benjamin Anderson","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/","url":"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/","name":"Multinomial Test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c)","isPartOf":{"@id":"https:\/\/statorials.org\/my\/#website"},"datePublished":"2023-07-25T22:24:09+00:00","dateModified":"2023-07-25T22:24:09+00:00","author":{"@id":"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097"},"description":"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a \u1021\u1019\u100a\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b","breadcrumb":{"@id":"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/#breadcrumb"},"inLanguage":"my-MM","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/my\/multinomial-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u1021\u102d\u1019\u103a","item":"https:\/\/statorials.org\/my\/"},{"@type":"ListItem","position":2,"name":"Multinomial test \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a & #038; \u1025\u1015\u1019\u102c)"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/my\/#website","url":"https:\/\/statorials.org\/my\/","name":"Statorials","description":"\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u101b\u100a\u103a\u1021\u1001\u103b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u1037\u103a\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u104b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/my\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"my-MM"},{"@type":"Person","@id":"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097","name":"Benjamin Anderson","image":{"@type":"ImageObject","inLanguage":"my-MM","@id":"https:\/\/statorials.org\/my\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/my\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","caption":"Benjamin Anderson"},"description":"\u1019\u1004\u103a\u1039\u1002\u101c\u102c\u1015\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u101e\u100a\u103a \u1021\u1004\u103c\u102d\u1019\u103a\u1038\u1005\u102c\u1038 \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001 \u1018\u1004\u103a\u1002\u103b\u1019\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u102e\u1038\u101e\u1014\u1037\u103a Statorials \u1006\u101b\u102c\u1021\u1016\u103c\u1005\u103a \u101c\u103e\u100a\u1037\u103a\u1015\u1010\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1014\u101a\u103a\u1015\u101a\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u101a\u103a\u1015\u103c\u1014\u1037\u103a\u101e\u1031\u102c\u1021\u1010\u103d\u1031\u1037\u1021\u1000\u103c\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u103d\u1019\u103a\u1038\u1000\u103b\u1004\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030\u104a Statorials \u1019\u103e\u1010\u1005\u103a\u1006\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u104f\u1021\u101e\u102d\u1015\u100a\u102c\u1000\u102d\u102f \u1019\u103b\u103e\u101d\u1031\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1015\u102d\u102f\u101e\u102d\u1010\u101a\u103a\u104b","sameAs":["https:\/\/statorials.org\/my"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/posts\/1550"}],"collection":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/comments?post=1550"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/posts\/1550\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/media?parent=1550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/categories?post=1550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/my\/wp-json\/wp\/v2\/tags?post=1550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}