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range ?ji nn ?0HL SRXX ijji則否定如果 ??假設(shè): H0: ?i= ?j; HA: ?i? ?j 生物統(tǒng)計 Analysis of Variance I 多重比較 Duncan’s 多重極差檢驗 range 2 3 4 3 8 3 7 6 *7181216 9 7 )28,2()(12?????????????? SSRL S R ????????????jiEEij nnMSdfrSSRL S R1121),(?8 6 4 7 6 *)(12 ????L S R生物統(tǒng)計 Analysis of Variance I 多重比較 Duncan’s 多重極差檢驗 ? 結(jié)果不一樣! mean pairs “MSE” range 2 ** 3 ** 4 ** 2 3 ** 2 21 XX ?31 XX ?41 XX ?32 XX ?42 XX ?43 XX ?ji XX ?Bonferroni t 檢驗更嚴(yán)格! 生物統(tǒng)計 Analysis of Variance I 多重比較 ? F檢驗顯著的基礎(chǔ)上必須考慮多重比較 ? 總的思想是降低 I型錯誤的概率 ? 方法很多,嚴(yán)格程度不同,結(jié)論中應(yīng)注明方法 ? 平均數(shù)間差異顯著性的表示方法(使用慣例法) 生物統(tǒng)計 Analysis of Variance I 本章要求 ? 準(zhǔn)確 寫出方差分析的假設(shè) ? 準(zhǔn)確 計算方差分析的基本計算并列出ANOVA表 ? 準(zhǔn)確 寫出方差分析的結(jié)論 ? 理解 多重比較的用途 ? 熟練掌握 平均數(shù)多重比較的計算過程 ? 建議 :計算過程保留 34小數(shù),最后結(jié)論保留2位小數(shù) 生物統(tǒng)計 Analysis of Variance I 期中考試 ? 考試范圍: 16章 ? 時間: 2020年 5月 8日 34節(jié) ? 考試時請你只 帶有統(tǒng)計功能的計算器 、筆,提供公式紙、草稿紙和試卷。 ? 文曲星 不是一個好的選擇-明確不能帶,請盡早或買或借 有統(tǒng)計功能的計算器 。 生物統(tǒng)計 Analysis of Variance I 小鼠競價! Jakson Lab ? Specific age in days: Price by age in weeks + $ per mouse. ? Mice 17 days of age or younger: List price + $ per mouse + lactating female price. ? Lactating female: $ per mouse. ? Littermates: List price + $ per mouse (weaning age only). ? Identification by vaginal plug, 0 to 10 days (pregnancy not guaranteed) $ ? Identification by palpation, 11 to 15 days (pregnancy guaranteed) $ ? Free of charge up to the number of mutant mice ordered (no specific age or gender requirements) ? $ per mouse in excess of the number of mutant mice ordered or for specific age or gender requirements ? Littermates: List price + $ per mouse (weaning age only) ? Pricing for JAX174。 GEMM174。 Strains Controls ? Free of charge up to the number of mutant mice ordered (no specific age or gender requirements) ? $ per mouse in excess of the number of mutant mice ordered or for specific age or gender requirements 生物統(tǒng)計 Analysis of Variance I 小鼠競價! Jakson Lab ? ? Pricing is based on the strain of mouse ordered (., inbred, transgenic, spontaneous mutant, etc.), the size of the colony, age of the mouse, husbandry practices, and other factors. ? Pricing for Retired Breeders ? Pricing for Pregnant Females 生物統(tǒng)計 Analysis of Variance I 小鼠競價! Jakson Lab ? 到底多少錢? ? 雌雄哪個貴? ? 例子: available to Asia – only few strains – 6weeks US$$ (+US$ for international for Littermate) ? USA, Canada, Mexico – Pregnant female: $ $ ? 獲獎?wù)撸禾镬o芳和陳戈靈 生物統(tǒng)計 Analysis of Variance I 均方及均方的期望 EEEAAA dfSSMSdfSSMS ?? , 新的統(tǒng)計量 其期望: ????2221)()(iandfMSEMSEiAAE??ai是處理的效應(yīng)值 當(dāng) H0成立時, ai = 0: 22 0)( ?? ???AMSEEAMSMSF ?檢驗統(tǒng)計量:1)( )()( 22??? ??EAMSEMSEFE當(dāng) H0不成立時,至少一個 ai?0: 1)()( 2 ??? FEMSEA ?