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變異數分析期末報告 Cushing( 庫欣症 )

變異數分析期末報告 Cushing( 庫欣症 ). 第一組 組員 : 陳佳玉 495300025 賴至格 495300075 鄒季宏 495300104 許閔榮 495300269 黃怡芯 495300336 王國翔 495300518 林芊彣 495300609.

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變異數分析期末報告 Cushing( 庫欣症 )

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  1. 變異數分析期末報告Cushing(庫欣症) 第一組 組員: 陳佳玉 495300025 賴至格 495300075 鄒季宏 495300104 許閔榮 495300269 黃怡芯 495300336 王國翔 495300518 林芊彣 495300609

  2. 此資料主要在於診斷病人是否有患有Cushing’s syndrome，即在診斷病人是否因為腎上腺素的過度分泌造成過度敏感性的失調，在資料中有三種症候群(syndrome)我們分別把它標示為 a , b , c (a代表adenoma , b代表bilateral hyperplasia , c代表carcinoma)，另外有六個病人屬於不知何種症候群(syndrome)的，我們將他們標示為u，而觀察值為tetrahydrocortisone與pregnanetriol在尿液中類固醇分泌物的比列(mg/24h)的對數值

  3. 單因子 ：病患種類 • 四個水準 ：a b c u四種病患 • 兩個反應變項：T 、P • 由bartlett test 檢驗代謝物t與p各別的變異數，發現a b c u 之T代謝物變異數均不同 ，且P代謝物之變異數均不同 ，故先將原始數據單位化 ，而後進行分析。

  4. bartlett.test(Tetrahydrocortisone~Type) Bartlett test of homogeneity of variances data: Tetrahydrocortisone by Type Bartlett's K-squared = 31.595, df = 3, p-value = 6.37e-07 由於P值<0.05 => 變異數均不相同 故先進行單位化 bartlett.test(Pregnanetriol~Type) Bartlett test of homogeneity of variances data: Pregnanetriol by Type Bartlett's K-squared = 13.9966, df = 3, p-value = 0.00291 由於P值<0.05 => 變異數均不相同 故先進行單位化

  5. bartlett.test(Tetrahydrocortisone~Type) Bartlett test of homogeneity of variances data: Tetrahydrocortisone by Type Bartlett's K-squared = 0.0221, df = 3, p-value = 0.9991 由於P值>0.05 => 變異數均相同 故可進行變異數分析 bartlett.test(Pregnanetriol~Type) Bartlett test of homogeneity of variances data: Pregnanetriol by Type Bartlett's K-squared = 0.0221, df = 3, p-value = 0.9991 由於P值>0.05 => 變異數均相同 故可進行變異數分析

  6. Analysis of Variance Table Response: Tetrahydrocortisone Df Sum Sq Mean Sq F value Pr(>F) Type 3 18.7409 6.2470 5.3215 0.006212 ** Residuals 23 27.0000 1.1739 Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 因為 P值小於0.05 故知拒絕Ho ，四種病患T類固醇 平均代謝量有差異 Analysis of Variance Table Response: Pregnanetriol Df Sum Sq Mean Sq F value Pr(>F) Type 3 11.2607 3.7536 3.1975 0.04237 * Residuals 23 27.0000 1.1739 Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 因為 P值小於0.05 故知拒絕Ho ，四種病患P類固醇 平均代謝量有差異

  7. Tukey multiple comparisons of means 95% family-wise confidence level • 以下進行多重比較 • Fit: aov(formula = lm(Tetrahydrocortisone ~ Type)) • $Type diff lwr upr p adj b-a -1.2396927 -2.788008 0.3086222 0.1488123 c-a -2.3692913 -4.184851 -0.5537312 0.0074583 u-a -1.9944134 -3.725482 -0.2633447 0.0198667 c-b -1.1295987 -2.771835 0.5126373 0.2542676 u-b -0.7547207 -2.303036 0.7935941 0.5425768 u-c 0.3748779 -1.440682 2.1904381 0.9396009 • 由數據可知 c a 兩種病患 在T類固醇的代謝量上 差異最顯著

  8. Tukey multiple comparisons of means 95% family-wise confidence level • Fit: aov(formula = lm(Pregnanetriol ~ Type)) • $Type diff lwr upr p adj b-a 0.5915338 -0.95678108 2.13984870 0.7181634 c-a 1.8386663 0.02310619 3.65422647 0.0464023 u-a 0.1109166 -1.62015203 1.84198532 0.9979606 c-b 1.2471325 -0.39510341 2.88936846 0.1824493 u-b -0.4806172 -2.02893205 1.06769773 0.8256133 u-c -1.7277497 -3.54330982 0.08781046 0.0660809 • 由數據可知 c和a 兩種病患 在P類固醇的代謝量上 差異最顯著

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