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°≈ÿà¡„¥°≈ÿà¡Àπ÷Ë߇撬߰≈ÿࡇ¥’¬« „π∑“ߪؑ∫—µ‘„Àâ§”π«≥®“°¢âÕ¡Ÿ≈¢Õß°≈ÿà¡∑’Ë¡’º≈√«¡¢Õß≈”¥—∫∑’Ë∑’Ë¡’
                    §à“πâÕ¬
                           „Àâ     T = º≈√«¡¢Õß≈”¥—∫∑’Ë∑’ˉ¥â®“°°“√®—¥≈”¥—∫∑’Ë√«¡¢Õß°≈ÿà¡∑’Ë¡’§à“πâÕ¬
                                     1
                                   n = ¢π“¥µ—«Õ¬à“ߢÕß°≈ÿà¡∑’Ë¡’§à“πâÕ¬
                                     1
                                    T= º≈µà“ߢÕߺ≈√«¡≈”¥—∫∑’Ë∑’ˉ¥â®“°°“√®—¥≈”¥—∫∑’Ë√«¡°—∫º≈√«¡≈”¥—∫∑’Ë
                                          °≈ÿࡇ¥’¬«

                           ®–‰¥â«à“T = T  - n (n  + 1)/2  [n (n  + 1) ‡ªìπº≈√«¡¢Õß≈”¥—∫∑’Ë∑’˧‘¥‡©æ“–
                                           1    1 1            1 1
                                          °≈ÿࡇ¥’¬«]
                           ∂â“§à“ T ¡’¢π“¥‡≈Á° º≈√«¡¢Õß≈”¥—∫∑’Ë∑’ˉ¥â®“°°“√®—¥≈”¥—∫∑’Ë√«¡À√◊Õ·¬°°≈ÿࡵà“ß°—π

                    ‰¡à¡“° · ¥ß«à“µ—«Õ¬à“ß∑—Èß Õß¡“®“°ª√–™“°√∑’Ë¡’§à“¡—∏¬∞“π∑’˵à“ß°—π „π∑”πÕ߇¥’¬«°—π∂â“§à“ T
                    ¡’¢π“¥„À≠àº≈√«¡¢Õß≈”¥—∫∑’˵à“ß°—π¡“° · ¥ß«à“µ—«Õ¬à“ß∑—Èß Õß¡“®“°ª√–™“°√∑’Ë¡’§à“¡—∏¬∞“π‰¡à

                    µà“ß°—π „π°“√µ—¥ ‘π„®„Àâπ”§à“§«“¡πà“®–‡ªìπ¢Õß§à“ T (§à“ P value) ‰ª‡∑’¬∫°—∫§à“√–¥—∫π—¬ ”§—≠
                           „π°“√¥”‡π‘π°“√∑¥ Õ∫º≈√«¡≈”¥—∫∑’Ë«‘≈§Õ°´—π¡’¢—ÈπµÕπ„π°“√¥”‡π‘π°“√¥—ßπ’È
                        1) π”¢âÕ¡Ÿ≈®“°∑—Èß 2 µ—«Õ¬à“ß¡“√«¡°—π‚¥¬‡√’¬ß≈”¥—∫®“°πâÕ¬‰ª¡“°
                        2) „Àâ≈”¥—∫∑’Ë¢âÕ¡Ÿ≈∑ÿ°§à“ „π°√≥’∑’Ë¢âÕ¡Ÿ≈¡’§à“‡∑à“°—π„Àâπ”≈”¥—∫∑’Ë¡“À“§à“‡©≈’ˬ ‡™àπ



                     ¢âÕ¡Ÿ≈≈”¥—∫∑’Ë ≈”¥—∫∑’ˇ©≈’ˬ       ¢âÕ¡Ÿ≈≈”¥—∫∑’Ë ≈”¥—∫∑’ˇ©≈’ˬ
                                               7 +  8
                      78     7        7.5           = 7.5  69     10       11
                                                    2
                                                                                    10 11 12+  +
                      78     8        7.5                 69      11       11                 = 11
                                                                                           3
                                                          69      12       11



                        3) §”π«≥º≈√«¡¢Õß≈”¥—∫∑’Ë¢Õß·µà≈–°≈ÿà¡
                        4) „Àâ T  ‡ªìπº≈√«¡¢Õß≈”¥—∫∑’Ë∑’ˉ¥â®“°°“√®—¥≈”¥—∫∑’Ë√«¡¢Õß°≈ÿà¡∑’Ë¡’§à“πâÕ¬
                               1
                        5) §”π«≥§à“ T = T  - n (n  + 1)/2
                                         1    1 1
                        6) §”π«≥§à“ P value ¢Õß§à“ T


                                  18.1.1 °“√§”π«≥§à“ P value ¢Õß°“√∑¥ Õ∫º≈√«¡≈”¥—∫∑’Ë
                                           «‘≈§Õ°´—π°√≥’µ—«Õ¬à“ß¢π“¥‡≈Á°


                                  „π°√≥’∑’˵—«Õ¬à“ß¡’¢π“¥‡≈Á° °“√§”π«≥§à“ P value ¢Õß ∂‘µ‘°“√∑¥ Õ∫º≈√«¡
                           ≈”¥—∫∑’Ë«‘≈§Õ°´—π®–„™â«‘∏’°“√§”π«≥·∫∫«‘∏’·¡àπµ√ß (exact method)






                     244   ∫∑∑’Ë 18   ∂‘µ‘·∫∫‰¡à„™âæ“√“¡‘‡µÕ√å





          ∫∑∑’Ë18                  244                                   3/8/09, 9:04 AM
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