SlideShare une entreprise Scribd logo
1  sur  37
Introduction to Biostatistics
Dr. Inaamul Haq
Assistant Professor, Department of Community Medicine
Government Medical College, Srinagar
MD, Community Medicine (JNMC, AMU, Aligarh)
Advanced Program in Clinical Research and Management (CliniIndia)
Certificate in Research Methods(PHFI)
Basic and Advanced Epidemiology and Biostatistics(PGISPH)
MECOR1
The Physiology of Research
STUDY
POPULATION
Research Question
???
SAMPLE
Select
Inference
The four possible explanations of an
observed association
1. Systematic Error (Bias)
2. Confounding
3. Random Error
4. True Association
Association does not guarantee causation
The 9 Research Questions
1. What is the prevalence of a condition?.
2. What is the average (Mean) of a characteristic?
3. What is the strength of correlation between two
quantitative parameters?
4. What is the agreement between methods?
5. What are the diagnostic characteristics of a candidate
test (categorical/quantitative) with reference to a “Gold
Standard”?
6. What is the incidence of an outcome?
7. What are the predictors of an outcome?
8. What are the risk factors associated with an outcome?
9. Evaluation of a candidate intervention against a control
(standard of care)?
The Research Question
in Analytical Studies
• (P) – Population (the sample of subjects you wish to
recruit for your study)
• (I) – Intervention (the treatment that will be provided
to subjects enrolled in your study)
• (C) – Comparison (what you plan on using as a
reference group to compare with your treatment
intervention)
• (O) – Outcome (what result you plan on measuring to
examine the effectiveness of your intervention)
• (T) – Time (the time frame over which the outcomes
are assessed)
P I C O T
P I C O T
Some examples of PICOT
• In adult patients with knee osteoarthritis (P), how effective
is Hijamah therapy (I) compared to local 1% diclofenac gel
(C) in reducing pain (O) after 6 weeks of therapy (Time)?
• In pregnant females (P) , is the incidence of Pregnancy
Induced Hypertension (O) higher among those with a
family history of clinical hypothyroidism (I) compared to
those without any such family history (C)?
• For patients 65 years and older (P), how does the use of an
influenza vaccine (I) compared to not received the vaccine
(C) influence the risk of developing pneumonia (O) during
flu season (T)?
Variables in Medical Research
•Quantitative
–Blood Sugar, Systolic BP, Age, Weight etc.
•Categorical
–Sex, Disease, Residence etc.
• Outcome / Dependent / Response
• Exposure / Predictor / Explanatory / Independent
• Other variables
Steps in Data Analysis
Data Entry
Data Cleaning
Data Exploration
Descriptive
Statistics
Inferential
Statistics
Data Entry
Spreadsheetfromhell
spreadsheetfromheaven
Data Cleaning and Data Exploration
• Frequency tables
• Histograms
• Cross-tabulations
• Scatterplots
Descriptive Statistics
• Tables
– Frequency tables
– Cross-tabulations/Contingency tables
• Graphs
– Univariable graphs – Simple Bar Charts
– Relational graphs – Stacked Bars, Scatterplots, Boxplots
• Numbers
– Continuous variables, Normal distribution
• Mean and SD
– Continuous variables, Not normally distributed
• Transformation – Mean and SD
– Continuous variables, Not normally distributed / Discrete
measurements
• Five-number summary (Min, 1st quartile, Median, 3rd quartile, Max)
Maximum
Minimum
Median
1st Quartile
3rd Quartile
Inferential Statistics
Estimation
–Point estimation
–Interval estimation
(Confidence Interval)
Hypothesis Testing
Three ways of data analysis
1. Univariable Analysis
2. Bivariable Analysis
1. Categorical versus Categorical
2. Categorical versus Quantitative
3. Quantitative versus Quantitative
3. Multi-variable Analysis
Statistical measures for the 9 questions
1. Proportion
2. Mean, SD
3. Correlation
4. Agreement
5. Sensitivity, Specificity etc
6. Incidence
7. Risk ratio
8. Odds ratio
9. Effect size
FOUR points to consider to choose an
appropriate statistical test
1. Combination of two variables
2. Normal or Non-normal
3. Groups: 2 or >2
4. Related or not related
1. Combination of two variables
• Categorical versus
Categorical
– Chi-square test
– Corrected Chi-square
– Fisher’s Exact Test
– McNemar test
• Categorical versus
Quantitative
– T-TEST
– ANOVA
– Wilcoxon ranksum
test
– Kruskall-Wallis test
– Wilcoxon signed rank
test
1. Combination of two variables ...
• Quantitative versus Quantitative
– Pearsons Correlation coefficient
– Spearmans correlation coefficient
2. Normal or non-normal
• Histogram
• Mean versus Median
• Statistical tests and plots
– QQ plot
– Shapiro-Wilk test
2. Normal or non-normal ...
• Normal
– T-TEST
– ANOVA
– Repeated-measures
ANOVA
• Non-normal
– Wilcoxon ranksum
test
– Wilcoxon signed rank
test
– Kruskall-Wallis test
3. Groups: 2 or >2
• 2 groups
– T-TEST
– Wilcoxon ranksum
test
– Wilcoxon signed rank
test
• >2 groups
– ANOVA
– Kruskall-Wallis test
4. Related or not related
• Related
– Paired T-TEST
– Wilcoxon signed rank
test
– McNemar test
– Repeated measures
ANOVA
– Friedman test
• Not related
– T-test
– Pearson Chi-square
test
– Wilcoxon ranksum
test
– Kruskall-Wallis test
Combination of two variables
Categorical vs
Categorical
Quantitative vs
Quantitative
Related
Not
related
McNemar
•Chi-square
•Fisher’s
exact
Pearsons
Correlation
Spearmans
Correlation
Normal
Not
normal
Combination of two variables
Categorical vs
Quantitative
Normal
Not
normal
2 groups >2 Groups
Related
Not
related
Related
Not
related
Normal
Not
normal
Related
Not
related
Related
Not
related
Paired t-test
Unpaired
t-test
Wilcoxon
signed rank
Wilcoxon
ranksum
Repeated
measures
ANOVA One-way
ANOVA
Friedmann
Kruskall
Wallis
• Type I error – False Positive
• Type II error – False Negative
• Power – True Positive
The p-value
• The P value, or calculated probability, is the
probability of finding the observed, or more
extreme, results when the null hypothesis
(H 0) of a study question is true
Random Error
Regression Analysis
• Linear Regression – Continuous outcome
• Logistic Regression – Dichotomous outcome
https://drive.google.com/file/d/1zWty8vNTL0B7
5oOar6oghpSnzdcn-qxf/view?usp=sharing
THANK YOU

Contenu connexe

Tendances

XNN001 Introductory epidemiological concepts - Study design
XNN001 Introductory epidemiological concepts - Study designXNN001 Introductory epidemiological concepts - Study design
XNN001 Introductory epidemiological concepts - Study designramseyr
 
Cross sectional study-dr.wah
Cross sectional study-dr.wahCross sectional study-dr.wah
Cross sectional study-dr.wahMmedsc Hahm
 
Case Control Studies
Case Control StudiesCase Control Studies
Case Control StudiesRachel Walden
 
3. descriptive study
3. descriptive study3. descriptive study
3. descriptive studyNaveen Phuyal
 
Techniques in clinical epidemiology
Techniques in clinical epidemiologyTechniques in clinical epidemiology
Techniques in clinical epidemiologyBhoj Raj Singh
 
4. case control studies
4. case control studies4. case control studies
4. case control studiesNaveen Phuyal
 
Epidemiological study designs
Epidemiological study designsEpidemiological study designs
Epidemiological study designsKayode Afolabi
 
Epidemiological methods
Epidemiological methodsEpidemiological methods
Epidemiological methodsBhoj Raj Singh
 
Descriptive epidemiology
Descriptive epidemiologyDescriptive epidemiology
Descriptive epidemiologyDalia El-Shafei
 
Lecture 5 case control & cross-sectional spring 2013
Lecture 5  case control & cross-sectional spring 2013Lecture 5  case control & cross-sectional spring 2013
Lecture 5 case control & cross-sectional spring 2013maythayel
 
Case control & cohort study
Case control & cohort studyCase control & cohort study
Case control & cohort studyBhumika Bhatt
 
Introduction to biostatistics
Introduction to biostatisticsIntroduction to biostatistics
Introduction to biostatisticsVineetha K
 
[READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text
[READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text [READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text
[READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text ultimasherryu
 
Lecture of epidemiology
Lecture of epidemiologyLecture of epidemiology
Lecture of epidemiologyAmany El-seoud
 
Epidemiology study design
Epidemiology study designEpidemiology study design
Epidemiology study designrobayade
 

Tendances (20)

XNN001 Introductory epidemiological concepts - Study design
XNN001 Introductory epidemiological concepts - Study designXNN001 Introductory epidemiological concepts - Study design
XNN001 Introductory epidemiological concepts - Study design
 
Cross sectional study-dr.wah
Cross sectional study-dr.wahCross sectional study-dr.wah
Cross sectional study-dr.wah
 
Case Control Studies
Case Control StudiesCase Control Studies
Case Control Studies
 
3. descriptive study
3. descriptive study3. descriptive study
3. descriptive study
 
Epidemiological statistics I
Epidemiological statistics IEpidemiological statistics I
Epidemiological statistics I
 
Techniques in clinical epidemiology
Techniques in clinical epidemiologyTechniques in clinical epidemiology
Techniques in clinical epidemiology
 
4. case control studies
4. case control studies4. case control studies
4. case control studies
 
Study designs
Study designsStudy designs
Study designs
 
Research Methodology
Research MethodologyResearch Methodology
Research Methodology
 
Epidemiological study designs
Epidemiological study designsEpidemiological study designs
Epidemiological study designs
 
Epidemiological methods
Epidemiological methodsEpidemiological methods
Epidemiological methods
 
Descriptive epidemiology
Descriptive epidemiologyDescriptive epidemiology
Descriptive epidemiology
 
Lecture 5 case control & cross-sectional spring 2013
Lecture 5  case control & cross-sectional spring 2013Lecture 5  case control & cross-sectional spring 2013
Lecture 5 case control & cross-sectional spring 2013
 
Case control & cohort study
Case control & cohort studyCase control & cohort study
Case control & cohort study
 
Introduction to biostatistics
Introduction to biostatisticsIntroduction to biostatistics
Introduction to biostatistics
 
[READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text
[READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text [READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text
[READ]❤book⚡ Mausner & Bahn Epidemiology An Introductory Text
 
Descriptive epidemiology
Descriptive epidemiologyDescriptive epidemiology
Descriptive epidemiology
 
Lecture of epidemiology
Lecture of epidemiologyLecture of epidemiology
Lecture of epidemiology
 
Biostatistics
BiostatisticsBiostatistics
Biostatistics
 
Epidemiology study design
Epidemiology study designEpidemiology study design
Epidemiology study design
 

Similaire à Introduction to biostatistics

Epidemiological Studies
Epidemiological StudiesEpidemiological Studies
Epidemiological StudiesINAAMUL HAQ
 
Choosing appropriate statistical test RSS6 2104
Choosing appropriate statistical test RSS6 2104Choosing appropriate statistical test RSS6 2104
Choosing appropriate statistical test RSS6 2104RSS6
 
Using real-world evidence to investigate clinical research questions
Using real-world evidence to investigate clinical research questionsUsing real-world evidence to investigate clinical research questions
Using real-world evidence to investigate clinical research questionsKarin Verspoor
 
Dr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptx
Dr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptxDr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptx
Dr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptxPriyankaSharma89719
 
Publication bias in service delivery research - Yen-Fu Chen
Publication bias in service delivery research - Yen-Fu ChenPublication bias in service delivery research - Yen-Fu Chen
Publication bias in service delivery research - Yen-Fu ChenNIHR CLAHRC West Midlands
 
David Moher - MedicReS World Congress 2012
David Moher - MedicReS World Congress 2012David Moher - MedicReS World Congress 2012
David Moher - MedicReS World Congress 2012MedicReS
 
Evidence based decision making in periodontics
Evidence based decision making in periodonticsEvidence based decision making in periodontics
Evidence based decision making in periodonticsHardi Gandhi
 
P-values the gold measure of statistical validity are not as reliable as many...
P-values the gold measure of statistical validity are not as reliable as many...P-values the gold measure of statistical validity are not as reliable as many...
P-values the gold measure of statistical validity are not as reliable as many...David Pratap
 
2010-Epidemiology (Dr. Sameem) basics and priciples.ppt
2010-Epidemiology (Dr. Sameem) basics and priciples.ppt2010-Epidemiology (Dr. Sameem) basics and priciples.ppt
2010-Epidemiology (Dr. Sameem) basics and priciples.pptAmirRaziq1
 
Chapter 34 medical stat
Chapter 34 medical statChapter 34 medical stat
Chapter 34 medical statNilesh Kucha
 
Case Control Study Design
Case Control Study DesignCase Control Study Design
Case Control Study Designanmolayaz
 
UTHSC Journal Club-Critical Appraisal of an Article onTherapy.ppt
UTHSC Journal Club-Critical Appraisal of an Article onTherapy.pptUTHSC Journal Club-Critical Appraisal of an Article onTherapy.ppt
UTHSC Journal Club-Critical Appraisal of an Article onTherapy.pptgaspassr100
 
2-Epidemiological studies
2-Epidemiological studies2-Epidemiological studies
2-Epidemiological studiesResearchGuru
 
Medical Reversals. Why 40% of What We Do Is Wrong
Medical Reversals. Why 40% of What We Do Is WrongMedical Reversals. Why 40% of What We Do Is Wrong
Medical Reversals. Why 40% of What We Do Is WrongSocietat Gestió Sanitària
 
Quick introduction to critical appraisal of quantitative research
Quick introduction to critical appraisal of quantitative researchQuick introduction to critical appraisal of quantitative research
Quick introduction to critical appraisal of quantitative researchAlan Fricker
 

Similaire à Introduction to biostatistics (20)

Etiology Research.pptx
Etiology Research.pptxEtiology Research.pptx
Etiology Research.pptx
 
Epidemiological Studies
Epidemiological StudiesEpidemiological Studies
Epidemiological Studies
 
Choosing appropriate statistical test RSS6 2104
Choosing appropriate statistical test RSS6 2104Choosing appropriate statistical test RSS6 2104
Choosing appropriate statistical test RSS6 2104
 
Using real-world evidence to investigate clinical research questions
Using real-world evidence to investigate clinical research questionsUsing real-world evidence to investigate clinical research questions
Using real-world evidence to investigate clinical research questions
 
Dr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptx
Dr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptxDr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptx
Dr. RM Pandey -Importance of Biostatistics in Biomedical Research.pptx
 
Publication bias in service delivery research - Yen-Fu Chen
Publication bias in service delivery research - Yen-Fu ChenPublication bias in service delivery research - Yen-Fu Chen
Publication bias in service delivery research - Yen-Fu Chen
 
David Moher - MedicReS World Congress 2012
David Moher - MedicReS World Congress 2012David Moher - MedicReS World Congress 2012
David Moher - MedicReS World Congress 2012
 
Evidence based decision making in periodontics
Evidence based decision making in periodonticsEvidence based decision making in periodontics
Evidence based decision making in periodontics
 
P-values the gold measure of statistical validity are not as reliable as many...
P-values the gold measure of statistical validity are not as reliable as many...P-values the gold measure of statistical validity are not as reliable as many...
P-values the gold measure of statistical validity are not as reliable as many...
 
H.Assessment Bates Chapter#02.pptx
H.Assessment Bates Chapter#02.pptxH.Assessment Bates Chapter#02.pptx
H.Assessment Bates Chapter#02.pptx
 
2010-Epidemiology (Dr. Sameem) basics and priciples.ppt
2010-Epidemiology (Dr. Sameem) basics and priciples.ppt2010-Epidemiology (Dr. Sameem) basics and priciples.ppt
2010-Epidemiology (Dr. Sameem) basics and priciples.ppt
 
Chapter 34 medical stat
Chapter 34 medical statChapter 34 medical stat
Chapter 34 medical stat
 
Case Control Study Design
Case Control Study DesignCase Control Study Design
Case Control Study Design
 
RCTIntrod.pptx
RCTIntrod.pptxRCTIntrod.pptx
RCTIntrod.pptx
 
UTHSC Journal Club-Critical Appraisal of an Article onTherapy.ppt
UTHSC Journal Club-Critical Appraisal of an Article onTherapy.pptUTHSC Journal Club-Critical Appraisal of an Article onTherapy.ppt
UTHSC Journal Club-Critical Appraisal of an Article onTherapy.ppt
 
Research methodology part 1
Research methodology part 1Research methodology part 1
Research methodology part 1
 
2-Epidemiological studies
2-Epidemiological studies2-Epidemiological studies
2-Epidemiological studies
 
Medical Reversals. Why 40% of What We Do Is Wrong
Medical Reversals. Why 40% of What We Do Is WrongMedical Reversals. Why 40% of What We Do Is Wrong
Medical Reversals. Why 40% of What We Do Is Wrong
 
Clinical Trials, Epidemiology and Biostatistics in Skin Disease
Clinical Trials, Epidemiology and Biostatistics in Skin DiseaseClinical Trials, Epidemiology and Biostatistics in Skin Disease
Clinical Trials, Epidemiology and Biostatistics in Skin Disease
 
Quick introduction to critical appraisal of quantitative research
Quick introduction to critical appraisal of quantitative researchQuick introduction to critical appraisal of quantitative research
Quick introduction to critical appraisal of quantitative research
 

Plus de INAAMUL HAQ

Sample size in clinical research 2021 april
Sample size in clinical research 2021 aprilSample size in clinical research 2021 april
Sample size in clinical research 2021 aprilINAAMUL HAQ
 
Adverse Events Following Immunization (AEFIs)
Adverse Events Following Immunization (AEFIs)Adverse Events Following Immunization (AEFIs)
Adverse Events Following Immunization (AEFIs)INAAMUL HAQ
 
Epidemiology lecture 4 death rates
Epidemiology lecture 4 death ratesEpidemiology lecture 4 death rates
Epidemiology lecture 4 death ratesINAAMUL HAQ
 
Epidemiology lecture3 incidence
Epidemiology lecture3 incidenceEpidemiology lecture3 incidence
Epidemiology lecture3 incidenceINAAMUL HAQ
 
Epidemiology lecture 2 measuring disease frequency
Epidemiology lecture 2 measuring disease frequencyEpidemiology lecture 2 measuring disease frequency
Epidemiology lecture 2 measuring disease frequencyINAAMUL HAQ
 
Epidemiology lecture 1 introduction
Epidemiology lecture 1 introductionEpidemiology lecture 1 introduction
Epidemiology lecture 1 introductionINAAMUL HAQ
 
Vector borne diseases
Vector borne diseasesVector borne diseases
Vector borne diseasesINAAMUL HAQ
 

Plus de INAAMUL HAQ (8)

Sample size in clinical research 2021 april
Sample size in clinical research 2021 aprilSample size in clinical research 2021 april
Sample size in clinical research 2021 april
 
Adverse Events Following Immunization (AEFIs)
Adverse Events Following Immunization (AEFIs)Adverse Events Following Immunization (AEFIs)
Adverse Events Following Immunization (AEFIs)
 
Epidemiology lecture 4 death rates
Epidemiology lecture 4 death ratesEpidemiology lecture 4 death rates
Epidemiology lecture 4 death rates
 
Epidemiology lecture3 incidence
Epidemiology lecture3 incidenceEpidemiology lecture3 incidence
Epidemiology lecture3 incidence
 
Epidemiology lecture 2 measuring disease frequency
Epidemiology lecture 2 measuring disease frequencyEpidemiology lecture 2 measuring disease frequency
Epidemiology lecture 2 measuring disease frequency
 
Epidemiology lecture 1 introduction
Epidemiology lecture 1 introductionEpidemiology lecture 1 introduction
Epidemiology lecture 1 introduction
 
Vector borne diseases
Vector borne diseasesVector borne diseases
Vector borne diseases
 
Waste disposal
Waste disposalWaste disposal
Waste disposal
 

Dernier

Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...
Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...
Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...Sheetaleventcompany
 
Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...
Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...
Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...Sheetaleventcompany
 
Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...
Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...
Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...dishamehta3332
 
Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...
Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...
Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...soniyagrag336
 
Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...
Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...
Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...Sheetaleventcompany
 
ANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptx
ANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptxANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptx
ANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptxSwetaba Besh
 
Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...
Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...
Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...Sheetaleventcompany
 
Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...
Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...
Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...Sheetaleventcompany
 
Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...
Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...
Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...call girls hydrabad
 
Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...
Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...
Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...gragneelam30
 
💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...
💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...
💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...Sheetaleventcompany
 
Cardiac Output, Venous Return, and Their Regulation
Cardiac Output, Venous Return, and Their RegulationCardiac Output, Venous Return, and Their Regulation
Cardiac Output, Venous Return, and Their RegulationMedicoseAcademics
 
Chennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book now
Chennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book nowChennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book now
Chennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book nowtanudubay92
 
❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...
❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...
❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...Sheetaleventcompany
 
❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...
❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...
❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...Sheetaleventcompany
 
Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...
Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...
Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...amritaverma53
 
Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...
Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...
Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...Dipal Arora
 
Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...
Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...
Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...Sheetaleventcompany
 
Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...
Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...
Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...Sheetaleventcompany
 
💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...
💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...
💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...gragneelam30
 

Dernier (20)

Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...
Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...
Call Girl In Chandigarh 📞9809698092📞 Just📲 Call Inaaya Chandigarh Call Girls ...
 
Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...
Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...
Cheap Rate Call Girls Bangalore {9179660964} ❤️VVIP BEBO Call Girls in Bangal...
 
Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...
Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...
Race Course Road } Book Call Girls in Bangalore | Whatsapp No 6378878445 VIP ...
 
Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...
Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...
Call Girls in Lucknow Just Call 👉👉8630512678 Top Class Call Girl Service Avai...
 
Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...
Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...
Low Cost Call Girls Bangalore {9179660964} ❤️VVIP NISHA Call Girls in Bangalo...
 
ANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptx
ANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptxANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptx
ANATOMY AND PHYSIOLOGY OF RESPIRATORY SYSTEM.pptx
 
Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...
Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...
Premium Call Girls Nagpur {9xx000xx09} ❤️VVIP POOJA Call Girls in Nagpur Maha...
 
Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...
Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...
Exclusive Call Girls Bangalore {7304373326} ❤️VVIP POOJA Call Girls in Bangal...
 
Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...
Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...
Call girls Service Phullen / 9332606886 Genuine Call girls with real Photos a...
 
Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...
Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...
Call Girls Bangalore - 450+ Call Girl Cash Payment 💯Call Us 🔝 6378878445 🔝 💃 ...
 
💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...
💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...
💰Call Girl In Bangalore☎️7304373326💰 Call Girl service in Bangalore☎️Bangalor...
 
Cardiac Output, Venous Return, and Their Regulation
Cardiac Output, Venous Return, and Their RegulationCardiac Output, Venous Return, and Their Regulation
Cardiac Output, Venous Return, and Their Regulation
 
Chennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book now
Chennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book nowChennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book now
Chennai ❣️ Call Girl 6378878445 Call Girls in Chennai Escort service book now
 
❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...
❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...
❤️Amritsar Escorts Service☎️9815674956☎️ Call Girl service in Amritsar☎️ Amri...
 
❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...
❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...
❤️Chandigarh Escorts Service☎️9814379184☎️ Call Girl service in Chandigarh☎️ ...
 
Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...
Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...
Call Girl in Chennai | Whatsapp No 📞 7427069034 📞 VIP Escorts Service Availab...
 
Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...
Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...
Bhawanipatna Call Girls 📞9332606886 Call Girls in Bhawanipatna Escorts servic...
 
Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...
Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...
Chandigarh Call Girls Service ❤️🍑 9809698092 👄🫦Independent Escort Service Cha...
 
Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...
Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...
Gorgeous Call Girls Dehradun {8854095900} ❤️VVIP ROCKY Call Girls in Dehradun...
 
💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...
💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...
💰Call Girl In Bangalore☎️63788-78445💰 Call Girl service in Bangalore☎️Bangalo...
 

Introduction to biostatistics

  • 1. Introduction to Biostatistics Dr. Inaamul Haq Assistant Professor, Department of Community Medicine Government Medical College, Srinagar MD, Community Medicine (JNMC, AMU, Aligarh) Advanced Program in Clinical Research and Management (CliniIndia) Certificate in Research Methods(PHFI) Basic and Advanced Epidemiology and Biostatistics(PGISPH) MECOR1
  • 2. The Physiology of Research STUDY POPULATION Research Question ??? SAMPLE Select Inference
  • 3. The four possible explanations of an observed association 1. Systematic Error (Bias) 2. Confounding 3. Random Error 4. True Association Association does not guarantee causation
  • 4. The 9 Research Questions 1. What is the prevalence of a condition?. 2. What is the average (Mean) of a characteristic? 3. What is the strength of correlation between two quantitative parameters? 4. What is the agreement between methods? 5. What are the diagnostic characteristics of a candidate test (categorical/quantitative) with reference to a “Gold Standard”? 6. What is the incidence of an outcome? 7. What are the predictors of an outcome? 8. What are the risk factors associated with an outcome? 9. Evaluation of a candidate intervention against a control (standard of care)?
  • 5. The Research Question in Analytical Studies • (P) – Population (the sample of subjects you wish to recruit for your study) • (I) – Intervention (the treatment that will be provided to subjects enrolled in your study) • (C) – Comparison (what you plan on using as a reference group to compare with your treatment intervention) • (O) – Outcome (what result you plan on measuring to examine the effectiveness of your intervention) • (T) – Time (the time frame over which the outcomes are assessed) P I C O T P I C O T
  • 6. Some examples of PICOT • In adult patients with knee osteoarthritis (P), how effective is Hijamah therapy (I) compared to local 1% diclofenac gel (C) in reducing pain (O) after 6 weeks of therapy (Time)? • In pregnant females (P) , is the incidence of Pregnancy Induced Hypertension (O) higher among those with a family history of clinical hypothyroidism (I) compared to those without any such family history (C)? • For patients 65 years and older (P), how does the use of an influenza vaccine (I) compared to not received the vaccine (C) influence the risk of developing pneumonia (O) during flu season (T)?
  • 7. Variables in Medical Research •Quantitative –Blood Sugar, Systolic BP, Age, Weight etc. •Categorical –Sex, Disease, Residence etc. • Outcome / Dependent / Response • Exposure / Predictor / Explanatory / Independent • Other variables
  • 8. Steps in Data Analysis Data Entry Data Cleaning Data Exploration Descriptive Statistics Inferential Statistics
  • 12. Data Cleaning and Data Exploration • Frequency tables • Histograms • Cross-tabulations • Scatterplots
  • 13.
  • 14.
  • 15.
  • 16.
  • 17. Descriptive Statistics • Tables – Frequency tables – Cross-tabulations/Contingency tables • Graphs – Univariable graphs – Simple Bar Charts – Relational graphs – Stacked Bars, Scatterplots, Boxplots • Numbers – Continuous variables, Normal distribution • Mean and SD – Continuous variables, Not normally distributed • Transformation – Mean and SD – Continuous variables, Not normally distributed / Discrete measurements • Five-number summary (Min, 1st quartile, Median, 3rd quartile, Max)
  • 19. Inferential Statistics Estimation –Point estimation –Interval estimation (Confidence Interval) Hypothesis Testing
  • 20. Three ways of data analysis 1. Univariable Analysis 2. Bivariable Analysis 1. Categorical versus Categorical 2. Categorical versus Quantitative 3. Quantitative versus Quantitative 3. Multi-variable Analysis
  • 21. Statistical measures for the 9 questions 1. Proportion 2. Mean, SD 3. Correlation 4. Agreement 5. Sensitivity, Specificity etc 6. Incidence 7. Risk ratio 8. Odds ratio 9. Effect size
  • 22. FOUR points to consider to choose an appropriate statistical test 1. Combination of two variables 2. Normal or Non-normal 3. Groups: 2 or >2 4. Related or not related
  • 23. 1. Combination of two variables • Categorical versus Categorical – Chi-square test – Corrected Chi-square – Fisher’s Exact Test – McNemar test • Categorical versus Quantitative – T-TEST – ANOVA – Wilcoxon ranksum test – Kruskall-Wallis test – Wilcoxon signed rank test
  • 24. 1. Combination of two variables ... • Quantitative versus Quantitative – Pearsons Correlation coefficient – Spearmans correlation coefficient
  • 25. 2. Normal or non-normal • Histogram • Mean versus Median • Statistical tests and plots – QQ plot – Shapiro-Wilk test
  • 26.
  • 27. 2. Normal or non-normal ... • Normal – T-TEST – ANOVA – Repeated-measures ANOVA • Non-normal – Wilcoxon ranksum test – Wilcoxon signed rank test – Kruskall-Wallis test
  • 28. 3. Groups: 2 or >2 • 2 groups – T-TEST – Wilcoxon ranksum test – Wilcoxon signed rank test • >2 groups – ANOVA – Kruskall-Wallis test
  • 29. 4. Related or not related • Related – Paired T-TEST – Wilcoxon signed rank test – McNemar test – Repeated measures ANOVA – Friedman test • Not related – T-test – Pearson Chi-square test – Wilcoxon ranksum test – Kruskall-Wallis test
  • 30. Combination of two variables Categorical vs Categorical Quantitative vs Quantitative Related Not related McNemar •Chi-square •Fisher’s exact Pearsons Correlation Spearmans Correlation Normal Not normal
  • 31. Combination of two variables Categorical vs Quantitative Normal Not normal 2 groups >2 Groups Related Not related Related Not related Normal Not normal Related Not related Related Not related Paired t-test Unpaired t-test Wilcoxon signed rank Wilcoxon ranksum Repeated measures ANOVA One-way ANOVA Friedmann Kruskall Wallis
  • 32.
  • 33. • Type I error – False Positive • Type II error – False Negative • Power – True Positive
  • 34. The p-value • The P value, or calculated probability, is the probability of finding the observed, or more extreme, results when the null hypothesis (H 0) of a study question is true Random Error
  • 35. Regression Analysis • Linear Regression – Continuous outcome • Logistic Regression – Dichotomous outcome