?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fmpra.ub.uni-muenchen.de%2F2970%2F&rft.title=Generalization+of+regression+analysis+to+the+spatial+context&rft.creator=Mishra%2C+SK&rft.subject=C19+-+Other&rft.subject=C1+-+Econometric+and+Statistical+Methods+and+Methodology%3A+General&rft.description=Our+day-to-day+experience+suggests+that+certain+variables+are+local+in+their+effects.+The+influence+of+such+variables+is+limited+within+the+boundaries+of+the+spatial+entity+(district)+where+they+are+physically+located.+In+contrast%2C+the+effects+of+some+other+variables+are+percolating+or+pervasive+in+nature.+They+permeate+through+the+district+boundaries+or+sometimes+grossly+transcend+the+local+borders.+The+intensity+of+influence+of+such+variable+often+decreases+with+an+increase+in+the+distance+traversed%2C+although+the+rate+of+such+decay+may+be+slow+or+rapid.+Therefore%2C+the+value+of+the+dependent+variable+observed+in+the+one+district+may+be+influenced+by+the+value+of+an+explanatory+variable+in+the+other+district.+%0A%0AIn+the+spatial+context%2C+therefore%2C+contiguity+(interactivity+or+connectedness)+is+very+important.+In+the+real+world%2C+%E2%80%98connectedness%E2%80%99+(interactivity+or+contiguity)+is+not+a+simple+binary+relationship+that+may+capture+the+openness+of+the+spatial+entities+to+each+other.+One+may+discriminate+among+the+instances+of+%E2%80%98interactivity%E2%80%99+or+%E2%80%98connectedness%E2%80%99+arising+due+to+common+vertex+and+common+boundary+segments+of+different+magnitudes.+There+can+be+several+other+criteria+to+measure+%E2%80%98interactivity%E2%80%99+or+%E2%80%98connectedness.%E2%80%99%0A%0AConventionally+variance+is+visualized+as+the+expectation+of+(squared)+deviations+of+the+individual+variate+values+from+the+mean+value+of+the+variate.+Similarly%2C+covariance+(of+any+two+variates)+is+visualized+as+the+expectation+of+the+product+of+deviations+of+the+variates+concerned+from+their+respective+mean+values.+However%2C+variance+may+also+be+considered+as+the+expectation+of+squared+deviations+of+each+individual+observation+from+the+other+individual+observations+rather+than+from+its+own+mean.+Covariance+also+may+be+viewed+analogously.+This+view+provides+a+basis+to+generalize+the+conventional+regression+analysis+to+the+spatial+context.+A+Fortran+computer+program+is+also+provided.&rft.date=2004-04-12&rft.type=MPRA+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=https%3A%2F%2Fmpra.ub.uni-muenchen.de%2F2970%2F1%2FMPRA_paper_2970.pdf&rft.identifier=++Mishra%2C+SK++(2004)%3A+Generalization+of+regression+analysis+to+the+spatial+context.++++&rft.language=en