A Study on Goodness of Fit For The Linear Model of Index Numbers of Jute Productivity In India

S. V. Subrahmanyam, Dhaneshwar Prasad, S S Panda

Abstract


A linear trend is fitted to the index numbers of Jute productivity in India from 1993-94 to 2011-12. The line is tested for its goodness of fit by studying standard error, closeness of fit, confidence region, and some sampling distribution techniques such as chi-square test, t-test, z-test. As a result, it is concluded that there is no significant difference between the observed and estimated index numbers of Jute productivity in India from 1993-94 to 2011-12 and hence the regression line is a good fit.


Keywords


Mathematical Model, Closeness of fit, Correlation coefficient, Chi-square test of goodness of fit, t-test, and z-test.

References


. S.C. Gupta, 2005, “Fundamentals of Statisticsâ€, 6th edn, Himalaya Publishing House, India

. I.Narsky, 2003,â€Goodness of fit: what do we really want to know?â€, PHYSTAT2003, SLAC, Stanford, California, September 8-11,

. S.C.Gupta & V.K.Kapoor, “Fundamentals of mathematical staticsâ€, S.Chand & Co., New Delhi.

. K. Venkateswara rao & S.V. Subrahmanyam, 2012, “A mathematical model of rice productivity in Andhra Pradeshâ€, International Journal of Mathematical Archive, Vol.3(11), PP. 4047-4051.

. Richard A. Johnson, 2007, “Miller & Freund’s Probability and Statistics for Engineersâ€, New Delhi, Prentice – Hall of India (P) Ltd., 7th ed.


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