province-level analysis using multivariate linear regression model for predicting the impact of...
DESCRIPTION
International Conference on Applied Statistic 2013 | 16 – 18 September 2013 | Bandung, Indonesia.TRANSCRIPT
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Background
Methods
Result & Discussion
Conclusion
Reommendation
![Page 3: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/3.jpg)
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Background
![Page 5: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/5.jpg)
Background
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Risk Factor of Stroke
Image Source: http://www.easierliving.com/blog/2013/05/14/know-how-to-prevent-recurrent-stroke/
STROKE
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Risk Factor of Stroke
Image Source: http://www.easierliving.com/blog/2013/05/14/know-how-to-prevent-recurrent-stroke/
STROKE
![Page 8: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/8.jpg)
Risk Factor of Stroke
Image Source: http://www.easierliving.com/blog/2013/05/14/know-how-to-prevent-recurrent-stroke/
STROKE
Controlled
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Research Question
How do the prevalence of diabetes
influence the prevalence of stroke
in Indonesia’s province, given each
province has constant prevalence
of hypertension ?
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Background
Methods
Result & Discussion
Conclusion
Recommendation
![Page 11: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/11.jpg)
What is the study design?
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Where is the study population?
Image Source: http://www.pksbalikpapantengah.org/2013/05/wujudkan-indonesia-sebagai-sepenggal.html
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How is the data collected?
Data Resource:
Data Resource: http://labmandat.litbang.depkes.go.id/
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How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
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How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
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How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
![Page 17: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/17.jpg)
How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
![Page 18: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/18.jpg)
How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
Prevalence of
Stroke
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How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
Prevalence of
Diabetes
Prevalence of
Stroke
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How is the data collected?
Data Resource: http://labmandat.litbang.depkes.go.id/
Prevalence of
Diabetes
Prevalence of
Stroke
Prevalence of
Hypertension
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How is the data analyzed?
Statistical Tool & Model
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How is the data analyzed?
Y : prevalence of stroke
X : prevalence of diabetes
X : prevalence of hypertension
i
1i
2i
Statistical Tool & Model
![Page 23: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/23.jpg)
How is the data analyzed?
Y : prevalence of stroke
X : prevalence of diabetes
X : prevalence of hypertension
i
1i
2i
Statistical Tool & Model
E(Y |X , X ) = βX + βX + α (constant) + ɛ (residual error) 1i 2i 1i 2i i
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How is the data analyzed?
Y : prevalence of stroke
X : prevalence of diabetes
X : prevalence of hypertension
i
1i
2i
Statistical Tool & Model
STATA ®12
E(Y |X , X ) = βX + βX + α (constant) + ɛ (residual error) 1i 2i 1i 2i i
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Background
Methods
Result & Discussion
Conclusion
Recommendation
![Page 26: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/26.jpg)
Regression Assumption
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Regression Assumption
1) Independent observation
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Regression Assumption
1) Independent observation
2) Linear relationship
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Regression Assumption
1) Independent observation
2) Linear relationship
3) Homoscedasticity (constant variance)
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Regression Assumption
1) Independent observation
2) Linear relationship
3) Homoscedasticity (constant variance)
4) Y | X, is normaly distributed
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510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
Regression fit Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Peason’s correlation analysis
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510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
Regression fit Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000).
2
![Page 33: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/33.jpg)
510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
Regression fit Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000).
2
Adj-R = 0.35 2
![Page 34: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/34.jpg)
510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
Regression fit Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000).
Y : prevalence of stroke i
2
Adj-R = 0.35 2
![Page 35: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/35.jpg)
510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
Regression fit Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000).
Y : prevalence of stroke i
X : prevalence of diabetes 1i
2
Adj-R = 0.35 2
![Page 36: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/36.jpg)
510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
Regression fit Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000).
Y : prevalence of stroke i
X : prevalence of diabetes 1i
X : prevalence of hypertension 2i
2
Adj-R = 0.35 2
![Page 37: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/37.jpg)
510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
95% CI Regression fit
Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000). The increase was estimated to be 4.45% (95% CI from 2.31% -
6.59%) per 1 % increased of prevalence of diabetes,
2
Adj-R = 0.35 2
![Page 38: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/38.jpg)
510
15
20
.5 1 1.5 2 2.5Prevalence of Diabetes
95% CI Regression fit
Prevalence of Stroke
Pre
va
len
ce
of
str
ok
e
Prevalence of diabetes
r = 0.61 (p < 0.001)
Multivariate linear regression
E(Y | X ,X ) = 6.11 + 4.45 X - 0.083X + ɛ ~N (0, 2.5 ) 1i 2i 1i 2i i
Prevalence of stroke increased significantly with prevalence of diabetes
(t(30) = 4.25 ,p=0.000). The increase was estimated to be 4.45% (95% CI from 2.31% -
6.59%) per 1 % increased of prevalence of diabetes, given controlling prevalence of
hypertension (within province has constant prevalence of hypertension).
2
Adj-R = 0.35 2
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Background
Methods
Result & Discussion
Conclusion
Recommendation
![Page 40: Province-level analysis using multivariate linear regression model for predicting the impact of diabetes on prevalence of stroke in Indonesia](https://reader033.vdocuments.net/reader033/viewer/2022060202/559c43a31a28abf40b8b458c/html5/thumbnails/40.jpg)
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Thank you