Showing papers by "Indian Agricultural Statistics Research Institute published in 1982"
TL;DR: In this paper, a method of construction and some new resolvable PBIB designs obtained through this method are given, as well as some new non-resolvable designs obtained by duplicating some nonresolvable designs.
5 citations
TL;DR: In this article, angular transformation is used to generalize Mosteller1s model in order to make the preference proportions independent and incidentally ensure homo-scedastlcity of variances and correlations and additivlty of scale in the subjective continuum for the stimuli.
Abstract: In paired comparison experiments t objects are ranked for any particular characteristic x by offering the objects in all possible pairs to a judge, each pair being repeated a certain number of times. The judge is to express his preference by giving a score 1 to the preferred object and a score 0 to the non-preferred object. A modification of Thurstone Model for analysis of data from such experiments has been given by Mosteller ‘1951a,b,c’. In this paper angular transformation is used to generalize Mosteller1s model in order to make the preference proportions independent and incidentally ensure homo-scedastlcity of variances and correlations and additivlty of scale in the subjective continuum for the stimuli." The model is extended to unequal numbers of repetitions of the pairs. Using the model two different types of treatment ratings are obtained along with the respective standard errors for moderately large numbers of repetitions, one setting the location parameter S, "0 and the other using the constrain...
3 citations
TL;DR: A sufficient condition that the variance of HORVITZ-THOMPSON estimator for RAO's (1965) inclusion probability proportional to sizes sampling scheme of selecting two units is uniformly smaller than that of RAO, HARTLEY and COCHRAN (1962) estimator has been obtained.
Abstract: A sufficient condition that the variance of HORVITZ-THOMPSON estimator for RAO's (1965) inclusion probability proportional to sizes sampling scheme of selecting two units is uniformly smaller than that of RAO, HARTLEY and COCHRAN (1962) estimator has been obtained.
1 citations
1 citations
1 citations
TL;DR: In this article, a modified trace optimality criterion was proposed to minimize the average variance of each of the main effects, Ai, and first order interactions separately instead of minimising average variance for all the estimated effects.
Abstract: Balanced optimal two level fractional factorial designs of resolution V have been reported in series of papers by SRIVASTAVA and CHOPRA (1971a, 1971b, 1974) and CHOPRA and SRIVASTAVA (1973a, 1973b). The optimality criterion considered by them is the trace optimality which implies minimisation of the average variance of the estimated effects which include the general mean μ, main effects, Ai, and first order interactions, Aij. In the present work some new optimal designs have been obtained on the basis of a modified criterion of trace optimality. The criterion requires minimisation of the average variance of each of the main effects, two factor interactions, etc. separately instead of minimising average variance of all the estimated effects.
TL;DR: In this paper, a simple method of inclusion probability proportional to sizes is proposed for samples of size three units, and it is shown that the variance of the HORVITZ-THOMPSON estimator based on the proposed sampling scheme is uniformly smaller than that of the traditional estimator used in the probability proportional-to-size with replacement sampling.
Abstract: A simple method of inclusion probability proportional to sizes is proposed for samples of size three units. It is shown that the variance of the HORVITZ-THOMPSON estimator based on the proposed sampling scheme is uniformly smaller than that of the customary estimator used in the probability proportional to sizes with replacement sampling. Further, its performance over RAO-HARTLEY-COCHRAN and SAMPFORD sampling schemes has been studied empirically for some of the natural populations.