Showing papers in "Sankhya in 1950"
Journal Article•
TL;DR: In this article, the general theory of fractional replicated designs has been developed using the properties of arrays of strength d. Some principles underlying this theory have been given by Kempthorne and Kishen (1947).
Abstract: The general theory of symmetrical factorial experiments has been considered in detail by Bose and Kishen (1940), Fisher (1943, 1945) and Bose (1947). It was shown by the author (Rao, 1946, 1947) that the designs for factorial experiments can be made to depend on the existence of combinatorial arrangements known as arrays of strength d. These arrangements are also useful in the construction of multifac torial designs suggested by Plackett and Burman (1946) and the fractional replicated designs developed by Finney (1945). In this article the general theory of fractional replicated designs has. been developed using the properties of arrays of strength d. Some principles underlying this theory have been given by Kempthorne (1947) and Kishen (1947).
26 citations
Journal Article•
2 citations
Journal Article•
TL;DR: In this paper, an attempt to find if the variations in the expenditure of the working class families of Nagpur are governed by any simple law is made, where prices are assumed fixed throughout the study.
Abstract: The present study is an attempt to find if the variations in the expenditure of the working class families of Nagpur are governed by any simple law. As sugges ted by Allen and Bowley the linear relation of the type y ? ke + c (where e = total expenditure, y = expenditure on a particular item and k and c are constants) has been assumed. Prices are assumed fixed throughout the study. Statistical analysis has been based on the data published in the "Report of the enquiry into the family budgets of Industrial Workers at Nagpur (1941-42)" issued by the Office of the Labour Commissioner, Central Provinces and Berar. Correlation coefficients between each of the main groups and the total expen diture, regression equation on the total expenditure and standard errors of estimates are given in table 1. Table 1
1 citations