Transcript 變異數分析期末報告

變異數分析期末報告
攝護腺癌
第九組
純數三 493300045 林育民
純數三 493300174 簡孝祐
純數三 493300203 洪嘉文
純數三 493300605 林韋廷
敘述
一間大學醫療中心的泌尿團隊,正在研究患
有攝護腺癌的男人, 對於97位男人正要接受
基本治療的患者,收集每個人對於其他 8個
變數的相關資訊
變數介紹
1.PSA level(攝護腺特異抗原等級)
2.Cancer volume(攝護腺癌體積)
3.Weight(攝護腺的重量)
4.Age(受測者年齡)
5.Benign prostatic hyperplasia(良性攝護腺細
胞的增殖量 )
6.Seminal vesicle invasion(再生的癌細胞侵犯)
7.Capsular penetration(膠囊滲透能力)
8.Gleason score(格里森分數)
One-way Anova
我們要觀察反應變項Cancer volume(攝
護腺癌體積)對以下4種自變項的關係
 1.Age(受測者年齡)
 2.Weight(攝護腺的重量)
 3.PSA level(攝護腺特異抗原等級)
 4.Benign prostatic hyperplasia(良性攝
護腺細胞的增殖量 )

One-way Anova

One-way ANOVA: Cancer volume versus
Age




Source
Age
Error
Total

S = 6.752 R-Sq = 49.53% R-Sq(adj) =
26.59%
DF
SS MS
30 2953.4 98.4
66 3009.0 45.6
96 5962.4
F
P
2.16 0.005
One-way Anova

One-way ANOVA: Cancer volume versus
Weight




Source
Weight
Error
Total

S = 9.269 R-Sq = 71.18% R-Sq(adj) =
0.00%
DF
SS MS
76 4244.3 55.8
20 1718.1 85.9
96 5962.4
F
P
0.65 0.907
One-way Anova

One-way ANOVA: Cancer volume versus
PSA level




Source
DF
SS
PSA level 80 5787.1
Error
16
175.3
Total
96 5962.4

S = 3.310 R-Sq = 97.06% R-Sq(adj) =
82.36%
MS
F
P
72.3 6.60 0.000
11.0
One-way Anova

One-way ANOVA: Cancer volume versus Benign
prostatic hyperplasia


Source
Benign prostatic
Error
Total

S = 9.105 R-Sq = 22.14% R-Sq(adj) = 0.00%


DF
SS
40 1319.9
56 4642.5
96 5962.4
MS
F
P
33.0 0.40 0.999
82.9
分析
由上面4個表看出, Cancer volume (攝護腺
癌體積)和 PSA level (攝護腺特異抗原等級)
相關較大(p<0.05),而Cancer volume (攝護腺
癌體積)和Benign prostatic hyperplasia (良
性攝護腺細胞的增殖量 )相關較小(p>0.05)
Two-way Anova
我們要觀察反應變項Cancer volume(攝
護腺癌體積)對下列的關係
 1.Weight, Age
 2. Weight, PSA level
 3. Weight, Benign prostatic
 4. Age, Benign prostatic
 5. Age, PSA level
 6. Benign prostatic, PSA level

Two-way Anova



General Linear Model: Cancer volume versus
Weight, Age
Analysis of Variance for Cancer volume, using
Adjusted SS for Tests




Source
Weight
Age
Error
Total
DF Reduced DF Seq SS
76
76
4244.268
30
12+
985.570
-10
8
732.539
96
96
5962.377

S = 9.56908 R-Sq = 87.71% R-Sq(adj) = 0.00%
Two-way Anova



General Linear Model: Cancer volume versus
Weight, PSA level
Analysis of Variance for Cancer volume, using
Adjusted SS for Tests
Model
 Source
DF Reduced DF Seq SS
 Weight
76
76
4244.268
 PSA level
80
8+
474.045
 Error
-60
12
1244.064
 Total
96
96
5962.377
 S = 10.1819 R-Sq = 79.13% R-Sq(adj) = 0.00%
Two-way Anova

General Linear Model: Cancer volume versus Weight, Benign
prostatic

Analysis of Variance for Cancer volume, using Adjusted SS for
Tests

Source
DF Reduced DF Seq SS
Weight
76
76
4244.268
Benign prostatic hyperplasia 40
11+
792.718
Error
-20
9
925.391
Total
96
96
5962.377
S = 10.1401 R-Sq = 84.48% R-Sq(adj) = 0.00%





Two-way Anova

General Linear Model: Cancer volume versus Age, Benign
prostatic

Analysis of Variance for Cancer volume, using Adjusted SS
for Tests

Source
DF Reduced DF
Age
30
30
Benign prostatic hyperplasia 40
37+
Error
26
29
Total
96
96
S = 7.92394 R-Sq = 69.46% R-Sq(adj) = 0.00%





Seq SS
2953.359
1188.143
1820.875
5962.377
Two-way Anova

General Linear Model: Cancer volume versus Age, PSA level

Analysis of Variance for Cancer volume, using Adjusted SS
for Tests


Source
DF Reduced DF Seq SS
Age
30
30
2953.359
PSA level 80
60+
2941.722
Error
-14
6
67.296
Total
96
96
5962.377

S = 3.34902 R-Sq = 98.87% R-Sq(adj) = 81.94%



Two-way Anova








General Linear Model: Cancer volume versus Benign
prostatic, PSA level
Analysis of Variance for Cancer volume, using Adjusted SS
for Tests
Source
DF Reduced DF
Benign prostatic hyperplasia 40
40
PSA level
80
37+
Error
-24
19
Total
96
96
S = 8.70295 R-Sq = 75.86% R-Sq(adj) = 0.00%
Seq SS
1319.897
3203.394
1439.085
5962.377
分析
由上面6個表看出,PSA level (攝護腺特異抗原等
級)和Age(受測者年齡)對Cancer volume(攝護腺
癌體積)影響較大
結論
Cancer volume(攝護腺癌體積)都會受到
PSA level (攝護腺特異抗原等級)和Age
(受測者年齡)的影響, Age和PSA level 越
大， Cancer volume的大小亦會越大,反
之越小