Table Of ContentEditor
Ratan Dasgupta
Advances in
Growth Curve and
Structural Equation
Modeling
Topics from the Indian Statistical
Institute on the 125th Birth Anniversary
of PC Mahalanobis
Advances in Growth Curve and Structural Equation
Modeling
Ratan Dasgupta
Editor
Advances in Growth Curve
and Structural Equation
Modeling
Topics from the Indian Statistical Institute
on the 125th Birth Anniversary of PC
Mahalanobis
123
Editor
RatanDasgupta
Theoretical Statistics andMathematics Unit
Indian Statistical Institute
Kolkata, West Bengal, India
ISBN978-981-13-1842-9 ISBN978-981-13-1843-6 (eBook)
https://doi.org/10.1007/978-981-13-1843-6
LibraryofCongressControlNumber:2018943729
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Dedicated to the loving memory of my
parentsManoranjanDasguptaandSaraswati
Dasgupta.
Preface
Growth curve model (GCM) is an empirical model for the evolution of a certain
characteristic of interest varying over time. These models are of application in
different branches of science. The present volume is based on the conference on
GCM held in the Indian Statistical Institute, Giridih, during October 23–24,
2017, as a part of the celebration of the 125th birth anniversary of Prof.
P. C. Mahalanobis, founder of the Indian Statistical Institute. He was a pioneer of
research in statistical theory and methodologies in India and abroad.
The conference proceedings are based on 11 research papers, theoretical and
applied,mainlycontributedbytheparticipantsoftheconference.Wefurtherinvited
ourcolleaguesandresearchersworkingonGCMandrelatedtopicstocontributeto
the volume. One could submit more than one paper if interested. All the papers
were peer-reviewed, and the revisions culminated in the compilation of research
activities in progress for different branches of science currently undertaken in
associationwithscientistsfromtheIndianStatisticalInstitute.Theendeavorwillbe
considered successful and rewarding if the volume can give some idea about
solvingtheoreticalandpracticalproblemsinthebroadareaofgrowthcurvemodel
inwhichmanyresearchersfromdifferentbranchesofsciencearenowinterestedin.
The present volume is fifth in a series of Springer publications on GCM from
selected research works undertaken by the scientists of Indian Statistical Institute.
Some of the growth experiments are conducted in the farm of Indian Statistical
Institute, Giridih. These have an initial role in development of Growth Curve
Models, especially in connection with Elephant foot yam. Some of the associated
workers from farm are Aslam Ansari, Sorai Kisku and Hari Sankar Saw. The
workers cooperated in conducting successful field experiments. The studies are
sponsored by the office of three successive directors of Indian Statistical Institute:
ProfessorsSankarK.Pal,BimalRoyandSanghamitraBandyopadhyay.Ms.Pooja
vii
viii Preface
Sengupta, Purnendu Pradhan, Sourab Bhowmick, Ms. Sucharita Maity helped in
data analysis of project linked experiments.
I am thankful to my wife Soma and son Debkumar for their understanding and
cooperation when following busy schedules were part of daily activities in last
several years, so as to process academic works for publication in a time bound
program.
Kolkata, India Ratan Dasgupta
May 2018
Contents
Mahalanobis Distance and Longitudinal Growth . . . . . . . . . . . . . . . . . . 1
Ratan Dasgupta
Stock Market Growth Link in Asian Emerging Countries: Evidence
from Granger Causality and Co-integration Tests . . . . . . . . . . . . . . . . . 21
Monalisha Pattnaik and Padmabati Gahan
Optimum Designs for Pharmaceutical Experiments with Relational
Constraints on the Mixing Components . . . . . . . . . . . . . . . . . . . . . . . . . 45
Manisha Pal, Nripes K. Mandal and Bikas K. Sinha
Growth Curve of Socio-economic Development in North-Eastern
Tribes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Ratan Dasgupta
Interrelationship Between Poverty, Growth, and Inequality
in India: A Spatial Approach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Sandip Sarkar and Samarjit Das
Successional Changes in Some Physicochemical Properties
on an Age Series of Overburden Dumps in Raniganj Coalfields,
West Bengal, India. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
Santu Malakar and Hema Gupta (Joshi)
Growth and Nutritional Status of Preschool Children in India . . . . . . . 113
SusmitaBharati,ManoranjanPal,SoumenduSenandPremanandaBharati
Bootstrap of Deviation Probabilities with Applications II. . . . . . . . . . . . 127
Ratan Dasgupta
Recent Advances in the Statistical Analysis of Retrospective
Time-to-Event Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
Sedigheh Mirzaei Salehabadi and Debasis Sengupta
ix
x Contents
Mathematical Aptitude and Family Income in North-Eastern
Tribes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151
Ratan Dasgupta
Folklore Versus Genetics: A Mitochondrial DNA Investigation
About the Origin and Antiquity of the Adi Sub-tribes
of Arunachal Pradesh, India . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161
S. Krithika and T. S. Vasulu
Snapshots from ISI, Giridih and of Some Research Initiatives
Undertaken for this Volume.. ..... .... .... .... .... .... ..... .... 187
Editor and Contributors
About the Editor
Prof.RatanDasgupta isSeniorProfessorofstatisticsattheTheoreticalStatistics
and Mathematics Unit, Indian Statistical Institute, Kolkata. His research interests
include nonparametric statistics, rates of convergence in the central limit theorem,
and the application of statistics to industrial quality control, biology, physics,
sociology, agriculture, education, environment, and other natural sciences. He has
been at the forefront of promoting the theory and applications of growth curve
modeling.Hisknowledge,expertise,andextensivepublicationrecordonthetopic,
aswellashisoutstandingtheoreticalskills,makehimuniquelyqualifiedtoeditthis
volume.
Contributors
Premananda Bharati Indian Statistical Institute, Kolkata, India
Susmita Bharati Indian Statistical Institute, Kolkata, India
Samarjit Das Indian Statistical Institute, Kolkata, India
Ratan Dasgupta Theoretical Statistics and Mathematics Unit, Indian Statistical
Institute, Kolkata, India
Padmabati Gahan Department of Business Administration, Sambalpur
University, Burla, India
Hema Gupta (Joshi) Department of Botany, Visva-Bharati, Santiniketan, West
Bengal, India
S. Krithika Department of Clinical and Experimental Epilepsy, Institute of
Neurology, University College (UCL), London, UK
xi
