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2
                                      Û = -2(LL                  - LL            )
                                                  Beginning model(B)  Ending model(E)
                                                   Likelihood B()
                                          = -2ênÄ               (‡æ√“– ên ≈∫°—π‡∑à“°—∫ ên À“√°—π)
                                                     Likelihood E()

                                  „π°√≥’∑’Ë¡’µ—«·ª√Õ‘ √–‡æ’¬ßµ—«‡¥’¬« LL  ®–‡ªìπ§à“ LL ‡¡◊ËÕ¡’§à“ a Õ¬Ÿà„πµ—«·∫∫
                                                                  B
                           ‡æ’¬ß§à“‡¥’¬« ·≈– LL   ®–‡ªìπ§à“ LL ‡¡◊ËÕ¡’  a ·≈– b   „πµ—«·∫∫ ®“°¢âÕ¡Ÿ≈µ—«Õ¬à“ß
                                              E                           1
                                                                    2
                                                                   c
                           -2LL  = 160.68 ·≈– -2LL  = 101.15 ¡’§à“   = 59.53 P value < 0.001 · ¥ß«à“
                                B                  E                    1
                           µ—«·ª√∑’ˇæ‘Ë¡‡¢â“‰ª„πµ—«·∫∫∑”„Àâ§à“ LL ‡ª≈’ˬπ·ª≈ßÕ¬à“ß¡’π—¬ ”§—≠

                                  16.3.2 §«“¡∂Ÿ°µâÕߢÕß°“√∑”π“¬



                                  ®“°µ—«·∫∫∑’ˉ¥â∂â“π—°«‘®—¬ “¡“√∂π”¢âÕ¡Ÿ≈Õ“¬ÿ®“°µ—«Õ¬à“ß¡“§”π«≥§à“ P ¥â«¬
                            ¡°“√∑’Ë √â“ߢ÷Èπ ∂â“§à“ P ∑’˧”π«≥®“°µ—«·∫∫¡’§à“‡∑à“°—∫À√◊Õ¡“°°«à“ 0.5 ®–∑”π“¬

                           «à“‡ªìπ‚√§‡∫“À«“π ∂â“πâÕ¬°«à“ 0.5 ®–∑”π“¬«à“‰¡à‡ªìπ‚√§‡∫“À«“π º≈°“√§”π«≥
                           ®“°µ—«·∫∫∑”𓬮”π«πºŸâ∑’Ë®–‡ªìπ‚√§‡∫“À«“π‰¥â¥—ßπ’È



                                                  ®”π«π§π      ®”π«π§π∑’ˇªìπ‚√§‡∫“À«“π
                                         Õ“¬ÿ
                                                   ∑—ÈßÀ¡¥       —߇°µ       ∑”π“¬

                                         42          30           1            1
                                         51          22           1            3
                                         60          14           6            5

                                         66          17          10            9
                                         72          9            6            6
                                         74          16          13            12
                                         85          12          10            11

                                         √«¡        120          47            47



                                  ∂â“π”º≈°“√∑”π“¬¡“‡∑’¬∫°—∫§à“∑’ˉ¥â®“°°“√ —߇°µ (observe) °Á®– “¡“√∂
                           §”π«≥√âÕ¬≈–¢Õß°“√∑”𓬉¥â∂Ÿ°µâÕß ®“°¢âÕ¡Ÿ≈µ—«Õ¬à“ßæ∫«à“µ—«·∫∫¡’º≈°“√∑”π“¬
                           ∂Ÿ°µâÕß ¥—ßπ’È










                     230   ∫∑∑’Ë 16  µ—«·∫∫≈Õ®‘ µ‘°





          ∫∑∑’Ë16                  230                                   30/7/09, 1:37 PM
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