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µ“√“ß 14.1 °“√«‘‡§√“–À姫“¡·ª√ª√«π°√≥’°“√«—¥´È”

P
·À≈àߧ«“¡·ª√ª√«π SS df MS F
value
SSB MSB
√–À«à“ß°≈ÿà¡ (‡«≈“) SSB k - 1 MSB = F =
k -1 MSE
¿“¬„π°≈ÿà¡ SSW N - k
-§π SS subject n - 1
SSE
- §«“¡§≈“¥ SSE N - k - n + 1 MSE =
n
Nk-- +1
‡§≈◊ËÕπ
√«¡ SST N - 1

®“°¢âÕ¡Ÿ≈¢Õßµ—«Õ¬à“ß∑’Ë 14.1 π”¡“∑¥ Õ∫§«“¡·µ°µà“ߢÕß§à“‡©≈’ˬ√–À«à“ß™à«ß‡«≈“‰¥â¥—ßπ’È

¢—Èπ∑’Ë 1 H : ı = ı = ı
0 1 2 3
H : ¡’§à“‡©≈’ˬլà“ßπâÕ¬Àπ÷ËߧŸà∑’Ë·µ°µà“ß°—π
A
¢—Èπ∑’Ë 2 °“√«‘‡§√“–À姫“¡·ª√ª√«π∑“߇¥’¬«°√≥’°“√«—¥´È”
¢—Èπ∑’Ë 3 °”Àπ¥„Àâ Ò = 0.05

¢—Èπ∑’Ë 4 §”π«≥§à“ ∂‘µ‘
§”π«≥§à“º≈√«¡°”≈—ß Õß (sum of square) Õß»“‡ √’ ·≈–§à“‡©≈’ˬ°”≈—ß Õß (mean square)

®“° Ÿµ√ π”º≈°“√§”π«≥∑’ˉ¥â„ à≈ß„πµ“√“ß 14.2 ‰¥â¥—ßπ’È

µ“√“ß 14.2 °“√«‘‡§√“–À姫“¡·ª√ª√«π°√≥’°“√«—¥´È”

·À≈àߧ«“¡·ª√ª√«π SS df MS F P value

5 816, 2 908,
√–À«à“ß°≈ÿà¡ 581.6 2 = 2,908 = 57.48 < 0.0001
2 5 059.
¿“¬„π°≈ÿà¡ 316.7 27
¿“¬„π§π 225.63 9
91 067.
§«“¡§≈“¥‡§≈◊ËÕπ 91.067 18 = 5.059
18
√«¡ 898.3 29

π”§à“ F ∑’˧”π«≥‰¥â‰ª‡ªî¥µ“√“ß 4 ∑’ËÕß»“‡ √’ (2, 18) ‰¥â§à“ P value < 0.0001

¢—Èπ∑’Ë 5 §à“ P value (< 0.0001) πâÕ¬°«à“§à“ Ò/2 (0.025) ªØ‘‡ ∏ ¡¡µ‘∞“π º≈°“√
«‘‡§√“–Àå¢âÕ¡Ÿ≈®“°µ—«Õ¬à“ß¡’‡Àµÿº≈∑’˧«√‡™◊ËÕ‰¥â«à“§«“¡√Ÿâ¢Õß∑—Èß 3 ™à«ß‡«≈“¡’Õ¬à“ßπâÕ¬Àπ÷Ëß™à«ß‡«≈“

∑’Ë¡’§à“‡©≈’ˬ·µ°µà“ß°—πÕ¬à“ß¡’π—¬ ”§—≠

216 ∫∑∑’Ë 14 °“√«‘‡§√“–Àåº≈∑’ˉ¥â®“°°“√«—¥´È”

∫∑∑’Ë14 216 30/7/09, 11:53 AM