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A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata India [email protected] Palash Sarkar (ISI, Kolkata) Research Methodology 1 / 16

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Page 1: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

A Course on Research Methodology

Palash Sarkar

Applied Statistics UnitIndian Statistical Institute, Kolkata

[email protected]

Palash Sarkar (ISI, Kolkata) Research Methodology 1 / 16

Page 2: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Disclaimers

‘If to do were as easy as to know what were good to do,chapels had been churches, and poor men’s cottages princespalaces. It is a good divine that follows his own instructions: Ican easier teach twenty what were good to be done, than beone of the twenty to follow mine own teaching.’

William Shakespeare

‘He who can, does. He who cannot, teaches.’

George Bernard Shaw

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Page 3: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Introduction

Palash Sarkar (ISI, Kolkata) Research Methodology 3 / 16

Page 4: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Research

Definitions.Online Oxford Dictionaries.

In the noun form:the systematic investigation into and study of materials andsources in order to establish facts and reach new conclusions.

In the verb form:investigate systematically.

Origin:late 16th century: from obsolete French recerche (noun),recercher (verb), from Old French re-(expressing intensive force) +cerchier ’to search’.

Wikipedia.

Research can be defined as the search for knowledge, or as anysystematic investigation, with an open mind, to establish novelfacts, usually using a scientific method.

Palash Sarkar (ISI, Kolkata) Research Methodology 4 / 16

Page 5: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Research

Definitions.Online Oxford Dictionaries.

In the noun form:the systematic investigation into and study of materials andsources in order to establish facts and reach new conclusions.

In the verb form:investigate systematically.

Origin:late 16th century: from obsolete French recerche (noun),recercher (verb), from Old French re-(expressing intensive force) +cerchier ’to search’.

Wikipedia.

Research can be defined as the search for knowledge, or as anysystematic investigation, with an open mind, to establish novelfacts, usually using a scientific method.

Palash Sarkar (ISI, Kolkata) Research Methodology 4 / 16

Page 6: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Research

Definitions.Online Oxford Dictionaries.

In the noun form:the systematic investigation into and study of materials andsources in order to establish facts and reach new conclusions.

In the verb form:investigate systematically.

Origin:late 16th century: from obsolete French recerche (noun),recercher (verb), from Old French re-(expressing intensive force) +cerchier ’to search’.

Wikipedia.

Research can be defined as the search for knowledge, or as anysystematic investigation, with an open mind, to establish novelfacts, usually using a scientific method.

Palash Sarkar (ISI, Kolkata) Research Methodology 4 / 16

Page 7: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Methodology

Definitions.Online Oxford Dictionaries.

Noun: a system of methods used in a particular area of study oractivity

Origin:early 19th century: from modern Latin methodologia or Frenchméthodologie

Wikipedia (extracts).

Method can be defined as a systematic and orderly procedure orprocess for attaining some objective.

Methodology specifies several processes that need to be followed.These processes constitute a generic framework.

Methodology may refer to the rationale and the philosophicalassumptions that underlie a particular study relative to thescientific method.

Palash Sarkar (ISI, Kolkata) Research Methodology 5 / 16

Page 8: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Methodology

Definitions.Online Oxford Dictionaries.

Noun: a system of methods used in a particular area of study oractivity

Origin:early 19th century: from modern Latin methodologia or Frenchméthodologie

Wikipedia (extracts).

Method can be defined as a systematic and orderly procedure orprocess for attaining some objective.

Methodology specifies several processes that need to be followed.These processes constitute a generic framework.

Methodology may refer to the rationale and the philosophicalassumptions that underlie a particular study relative to thescientific method.

Palash Sarkar (ISI, Kolkata) Research Methodology 5 / 16

Page 9: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Methodology

Definitions.Online Oxford Dictionaries.

Noun: a system of methods used in a particular area of study oractivity

Origin:early 19th century: from modern Latin methodologia or Frenchméthodologie

Wikipedia (extracts).

Method can be defined as a systematic and orderly procedure orprocess for attaining some objective.

Methodology specifies several processes that need to be followed.These processes constitute a generic framework.

Methodology may refer to the rationale and the philosophicalassumptions that underlie a particular study relative to thescientific method.

Palash Sarkar (ISI, Kolkata) Research Methodology 5 / 16

Page 10: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Purpose and Outline

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Page 11: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Purpose of the Course

To familiarise students with the different aspects of research.

To provide an idea of good scientific writing and properpresentation skills.

To provide an understanding of philosophical questions behindscientific research.

To provide a brief background on the historical legacy of science.

Focus on research in mathematical and engineering sciences.

Portions may be relevant to other subjects.

Pointers to reading material will be mentioned during the course.

Palash Sarkar (ISI, Kolkata) Research Methodology 7 / 16

Page 12: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Purpose of the Course

To familiarise students with the different aspects of research.

To provide an idea of good scientific writing and properpresentation skills.

To provide an understanding of philosophical questions behindscientific research.

To provide a brief background on the historical legacy of science.

Focus on research in mathematical and engineering sciences.

Portions may be relevant to other subjects.

Pointers to reading material will be mentioned during the course.

Palash Sarkar (ISI, Kolkata) Research Methodology 7 / 16

Page 13: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Organisation and Assessment

Lectures by the instructor.

Lectures by other guest lecturers.

Presentations by the students and panel discussions among thestudents.

The course will consist of about 30 sessions (lectures,discussions, student presentations) each of 1.5 hours duration.

Sessions will usually be conducted twice weekly.

Assessment will be based on written assignments and on theparticipation in the discussions and lectures.

Final evaluation will be given as a grade andsuccessful/unsuccessful completion of the course will beindicated.

Palash Sarkar (ISI, Kolkata) Research Methodology 8 / 16

Page 14: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Organisation and Assessment

Lectures by the instructor.

Lectures by other guest lecturers.

Presentations by the students and panel discussions among thestudents.

The course will consist of about 30 sessions (lectures,discussions, student presentations) each of 1.5 hours duration.

Sessions will usually be conducted twice weekly.

Assessment will be based on written assignments and on theparticipation in the discussions and lectures.

Final evaluation will be given as a grade andsuccessful/unsuccessful completion of the course will beindicated.

Palash Sarkar (ISI, Kolkata) Research Methodology 8 / 16

Page 15: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Division of the Course Structure

Based on the objectives, the course has been divided into two parts.

General discussion on different aspects of research.

History and philosophy of science.

The two parts will run simultaneously.One lecture per week for each part.

Palash Sarkar (ISI, Kolkata) Research Methodology 9 / 16

Page 16: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Division of the Course Structure

Based on the objectives, the course has been divided into two parts.

General discussion on different aspects of research.

History and philosophy of science.

The two parts will run simultaneously.One lecture per week for each part.

Palash Sarkar (ISI, Kolkata) Research Methodology 9 / 16

Page 17: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions

Focus on early-career research as opposed to mid-career research.Lecture 1:

Motivation for research.Building a background.

Lecture 2:Role of a supervisor.Time and energy management.

Lecture 3:Finding a problem.Solving a problem.

Lectures 4 and 5:Writing a paper.

Palash Sarkar (ISI, Kolkata) Research Methodology 10 / 16

Page 18: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions

Focus on early-career research as opposed to mid-career research.Lecture 1:

Motivation for research.Building a background.

Lecture 2:Role of a supervisor.Time and energy management.

Lecture 3:Finding a problem.Solving a problem.

Lectures 4 and 5:Writing a paper.

Palash Sarkar (ISI, Kolkata) Research Methodology 10 / 16

Page 19: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions

Focus on early-career research as opposed to mid-career research.Lecture 1:

Motivation for research.Building a background.

Lecture 2:Role of a supervisor.Time and energy management.

Lecture 3:Finding a problem.Solving a problem.

Lectures 4 and 5:Writing a paper.

Palash Sarkar (ISI, Kolkata) Research Methodology 10 / 16

Page 20: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions

Focus on early-career research as opposed to mid-career research.Lecture 1:

Motivation for research.Building a background.

Lecture 2:Role of a supervisor.Time and energy management.

Lecture 3:Finding a problem.Solving a problem.

Lectures 4 and 5:Writing a paper.

Palash Sarkar (ISI, Kolkata) Research Methodology 10 / 16

Page 21: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions (contd.)

Lecture 6:Publishing.Reviewing a paper.

Lecture 7:Scientific ethics (or norms and conventions).Collaborative work.

Lecture 8:Presentation skills.

Lecture 9: miscellaneous.Bibliometrics.Recognition, awards and prizes.Research funding.Intellectual property rights.Politics in the research environment.

Palash Sarkar (ISI, Kolkata) Research Methodology 11 / 16

Page 22: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions (contd.)

Lecture 6:Publishing.Reviewing a paper.

Lecture 7:Scientific ethics (or norms and conventions).Collaborative work.

Lecture 8:Presentation skills.

Lecture 9: miscellaneous.Bibliometrics.Recognition, awards and prizes.Research funding.Intellectual property rights.Politics in the research environment.

Palash Sarkar (ISI, Kolkata) Research Methodology 11 / 16

Page 23: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions (contd.)

Lecture 6:Publishing.Reviewing a paper.

Lecture 7:Scientific ethics (or norms and conventions).Collaborative work.

Lecture 8:Presentation skills.

Lecture 9: miscellaneous.Bibliometrics.Recognition, awards and prizes.Research funding.Intellectual property rights.Politics in the research environment.

Palash Sarkar (ISI, Kolkata) Research Methodology 11 / 16

Page 24: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

General Discussions (contd.)

Lecture 6:Publishing.Reviewing a paper.

Lecture 7:Scientific ethics (or norms and conventions).Collaborative work.

Lecture 8:Presentation skills.

Lecture 9: miscellaneous.Bibliometrics.Recognition, awards and prizes.Research funding.Intellectual property rights.Politics in the research environment.

Palash Sarkar (ISI, Kolkata) Research Methodology 11 / 16

Page 25: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Lectures on Special Topics

Role of intuition in research.

Role of abstraction in research.

Using mathematics as a tool.

Basing research on data.

Palash Sarkar (ISI, Kolkata) Research Methodology 12 / 16

Page 26: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Lectures on Special Topics

Role of intuition in research.

Role of abstraction in research.

Using mathematics as a tool.

Basing research on data.

Palash Sarkar (ISI, Kolkata) Research Methodology 12 / 16

Page 27: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Lectures on Special Topics

Role of intuition in research.

Role of abstraction in research.

Using mathematics as a tool.

Basing research on data.

Palash Sarkar (ISI, Kolkata) Research Methodology 12 / 16

Page 28: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Lectures on Special Topics

Role of intuition in research.

Role of abstraction in research.

Using mathematics as a tool.

Basing research on data.

Palash Sarkar (ISI, Kolkata) Research Methodology 12 / 16

Page 29: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Some References on General Advice

The blog of Terence Tao.

Transcription of a talk entitled “You and Your Research” by RichardHamming.

‘How to Solve It’ by Polya.

Gian Carlo Rota’s article in AMM.

There are other good online material.

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Page 30: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

History and Philosophy of Science

The rise of science (in Europe): concept of the heliocentricuniverse as a revolution, simplification via Occam’s razor.

Deductive method. Broad-sense and narrow-sense interpretationsof scientific and logical methods.

Modern inductive method (Bacon), Mill’s method of induction,positivism (Comte), logical positivism, statistics as a universalmethod of induction.

Popper, Kuhn, Feynman.

Palash Sarkar (ISI, Kolkata) Research Methodology 14 / 16

Page 31: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

History and Philosophy of Science

Epistemology (briefly): Plato/Aristotle, Descartes,Locke/Berkeley/Hume, Wittgenstein.

Epistemology (briefly) in the Indian philosophical systems.

A brief history of mathematics: Euclid, Archimedes, Fermat,Newton, Gauss, Galois, Abel, Hilbert, Ramanujan, Kolmogorov,von Neumann.

Some important scientific advancements.

A brief history of mathematics and science in India.

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Page 32: A Course on Research Methodologypalash/research-methodology/RM-intro.pdf · A Course on Research Methodology Palash Sarkar Applied Statistics Unit Indian Statistical Institute, Kolkata

Some References

Portions of “A History of Western Philosophy” by Bertrand Russell.

Richard Feynman. “The Meaning of it All”.

Wikipedia.

Stanford online encyclopedia of philosophy.

Other sources.

Palash Sarkar (ISI, Kolkata) Research Methodology 16 / 16