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#1
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Ê¶ÔµÔ Hypotheses testing for 2 population ¤ÃѺ
ÇԸշӢͧ¼Á¤×Í ¢éÍ a) à¹×èͧ¨Ò¡â¨·ÂìäÁèºÍ¡ÇèÒ $\sigma_1 = \sigma_2$ ËÃ×Íà»ÅèÒ ´Ñ§¹Ñé¹àÃÒµéͧ·Ó F- test ¡è͹¼Á¡çä»·Ó F-test ÁÒ ä´éÇèÒ $\sigma_1 = \sigma_2$ ¨Ò¡¹Ñé¹¼Á¡çÁÒ test , $H_0 :$$\mu_1-\mu_2 = 0 $ $H_0 :$ $\mu_1-\mu_2 < 0 $ ¼Á¡ç·ÓÍÍ¡ÁÒä´éÇèÒ Reject H0 ¡ç¤×ÍÊÃØ»ÇèÒ $\mu_1-\mu_2 < 0 $
b) P-value < 0.05 »ÃÐà´ç¹ÍÂÙè·Õè¢éÍ c) ¼Á·Ó 1-side CI 95% »ÃÒ¡®ÇèÒä´é -4.104 < $\mu_1-\mu_2$ ¼Á¡çàŧ§ÇèÒ ¨Ò¡ $\mu_1-\mu_2 = 0 $ áÅéÇ 0 ÁѹÍÂÙè㹪èǧ ÍÂèÒ§¹ÕéàÃÒ¡çµéͧ ÂÍÁÃѺ H0 áµè¢éÍ a) àÃÒ·ÓÍÍ¡ÁÒä´é reject H0 Áѹ¡ç¢Ñ´áÂ駡ѹÊÔ ¼Áà¢éÒã¨ÍÐäüԴäËÁ¤ÃѺ ¤×ͤè͹¢éÒ§ÁÑè¹ã¨ÇèÒ¤Ô´àÅ¢¶Ù¡¹Ð¤ÃѺ 27 ÊÔ§ËÒ¤Á 2014 18:12 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ -[B]a$ic'z~* |
#2
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µÍ¹·Ó $F-$test ¹èФÃѺ ãªé level of confidence à·èÒäËÃè¤ÃѺ
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site:mathcenter.net ¤Ó¤é¹ |
#3
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$$\alpha =0.025 ¤ÃѺ$$
27 ÊÔ§ËÒ¤Á 2014 20:37 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ -[B]a$ic'z~* |
#4
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áµè¶éÒ¼Á·Ó 1-side upper bound with 95% confidence ä´é
$\mu _1-\mu _2 \leqslant -2.19 $ Ẻ¹Õé 0 ÍÂÙè¹Í¡ªèǧ ¡ç reject H0 µÃ§¡Ñº¢éÍ a) ËÃ×ͶéÒ·Ó 2-side ä´é $-4.295\leqslant \mu _1-\mu _2\leqslant -2.004$ Ẻ¹Õé 0 ¡ç¹Í¡ªèǧ ¡ç reject H0 áµè¶éÒà»ç¹ lower bound ·ÓäÁäÁèµÃ§¼ÁʧÊÑÂÁÒ¡àŤÃѺ TT |
#5
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¼Áà¨ÍµÑÇÍÂèҧ˹Ö觨ҡ à©Å text
㹡óչÕé¶éÒ¼Á test lower bound ¨Ðä´éÇèÒ $-3.0037\leqslant \mu _1-\mu _2 $ «Öè§ 0 ÍÂÙè㹪èǧ àÃÒ¡ç¨Ðä´éÇèÒ accept H0 áÊ´§ÇèÒàÃÒãªé CI lower bound ÁÒ´ÙäÁèä´é Ẻ¹Õéà¾ÃÒÐÍÐääÃѺ |
#6
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¡Ò÷´ÊͺÊÁÁµÔ°Ò¹áººËÒ§à´ÕÂÇÁѹ¨ÐÁÕ»ÑËÒÍÂÙèáÅéǤÃѺ
àÃҨеéͧÁÑè¹ã¨¡è͹ÇèÒÍÕ¡¢éÒ§¹Ö§¨ÐäÁèà¡Ô´¡Ò÷´Êͺ¨Ö§¨Ðãªéä´é¼Å
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site:mathcenter.net ¤Ó¤é¹ |
#7
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´Ñ§¹Ñé¹àÃÒàÇÅÒ·´ÊͺàÃÒ¤ÇÃãªé
$t_0 , z_0 $ 㹡Ò÷´Êͺ¨ÐªÑÇÃìÊØ´ãªèäËÁ¤ÃѺ äÁè¤ÇôٴéÇ confidence interval ãªé confidence interval 㹡Òô٪èǧ¢Í§¤èÒ $\mu _1-\mu _2$ ¨Ð´Õ¡ÇèÒ ¤×ÍäÇé´Ùªèǧà©Âæ ÍÂèÒàÍÒÁѹÁҵѴÊÔ¹ÍÐäà ¼Áà¢éÒ㨶١µéͧäËÁ¤ÃѺ |
#8
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¨ÃÔ§æáÅéÇÁѹ¡çÁÕÇÔ¸Õ¡ÒâͧÁѹÍÂÙè áµè¡ÒÃãªé¡ÒûÃÐÁÒ³¤èÒ¾ÒÃÒÁÔàµÍÃìẺªèǧÁѹäÁè¹èÒ¨Ðà¡ÕèÂǡѹ¡Ñº¡Ò÷´ÊͺÊÁÁµÔ°Ò¹
¼Áàͧ¡çÂѧäÁèáÁè¹àÃ×èͧ¾Ç¡¹Õé¤ÃѺ äÁèÍÂÒ¡Â×¹ÂѹÍÐäÃ
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site:mathcenter.net ¤Ó¤é¹ |
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ËÑÇ¢éÍ | ¼ÙéµÑé§ËÑÇ¢éÍ | Ëéͧ | ¤ÓµÍº | ¢éͤÇÒÁÅèÒÊØ´ |
ÍèÒ¹àÍÒÎÒ: Population Dynamics [Madoka] | nongtum | »ÑËÒ¤³ÔµÈÒʵÃì·ÑèÇä» | 0 | 18 àÁÉÒ¹ 2011 11:47 |
question about error in hypothesis testing? | suan123 | »ÑËÒ¤³ÔµÈÒʵÃì·ÑèÇä» | 3 | 14 ¾ÄÉÀÒ¤Á 2007 19:33 |
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