Contribution to successive Sampling

Abstract

Expressions for an efficient estimate of population mean for a character and its variance on 2nd occasion have been obtained utilizing information on the some character on the 1st occasion. The sample estimate of population variance is not an unbiased one and the expression for the relative bias in the estimate of variance has been given in chapter II. It has been proved that relative bias is a monotonically decreasing function of nth sample size. In chapter III the expression for the estimate of mean and its variance of character on second occasion have been obtained utilizing information on another correlated character on the second occasion and also the information for both character on 1st occasion. Then the results have been extended to the general case of studying information on k characters on h occasions h is greater than equal to 2 and k is greater than equal to 2 and an efficient estimate of mean for the character on the occasion and its variance have been obtained. In chapter IV the results has been extended to a two stage design when replacement is done only in p.s.u.s. In chapter V the results has been illustrated by the data obtained in the Agronomic and Agro economic surveys of the I.A.D.P. district Aligarh. By considering the consumption of nitrogenous fertilizer per cultivator it has been observed that as we increase the use of auxiliary variates the estimates become more and more efficiencies of different estimate having different number of auxiliary vanates and different number of occasions on which the survey has been conducted.