Statistics

1008 Submissions

[4] viXra:1008.0044 [pdf] submitted on 16 Aug 2010

Degrees of Freedom: A Correction to Chi Square For Physical Hypotheses

Authors: John Michael Williams
Comments: 47 Pages.

In common practice, degrees of freedom (df) may be corrected for the number of theoretical free parameters as though parameters were the same as data categories. However, a free physical parameter generally is not equivalent to a data category in terms of goodness of the fit. Here we use synthetic, nonrandom data to show the effect of choice of categorization and df on goodness of fit. We then explain the origin of the df problem and show how to avoid it in a three-step process: First, the theoretical curve is fit to the data to remove its variance, leaving what, under the null hypothesis, should be structureless residuals. Second, the residuals are fit by a set of orthogonal polynomials up to the degree, should it occur, at which significant variance was removed. Third, the number of nonsignificant polynomial terms in the original + orthogonal set become the df in a standard chi square test. This process reduces a general df problem to one of polynomial df and allows goodness of a fit to be determined by data categorization and significance level alone. An example is given of an evaluation of physical data on neutrino oscillation.
Category: Statistics

[3] viXra:1008.0034 [pdf] submitted on 11 Aug 2010

Rural Migration A Significant Cause Of Urbanization: A District Level Review Of Census Data For Rajasthan

Authors: Jayant Singh, Hansraj Yadav, Florentin Smarandache
Comments: 8 pages

Migration plays an important role in urbanization of a state. In general more the migration higher the urbanization rate though it many not necessarily true in all the situations but in general it is witnessed that migration have a fairly large share in urbanization. A district level analysis for Rajasthan state is attempted to comprehend Urbanization due to migration their interlinkages and association.
Category: Statistics

[2] viXra:1008.0033 [pdf] submitted on 11 Aug 2010

Urbanization Due To Migration: A District Level Analysis Of Migrants From Different Distances For The Rajasthan State

Authors: Jayant Singh, Hansraj Yadav, Florentin Smarandache
Comments: 10 pages

People migrate to different distances and there migration is governed by different reasons. Distance of place of migration plays an important role in the migration process and an analysis based on the remoteness of the origin and destination will reveal the push and pull factors in more explicit way. However, a common phenomenon is that people do migrate to a longer distance with a more focused objective and there propensity to settle in urban areas is always higher than the small distance migration.
Category: Statistics

[1] viXra:1008.0020 [pdf] submitted on 7 Aug 2010

A Family of Estimators for Estimating Population Mean in Stratified Sampling under Non-Response

Authors: Manoj K. Chaudhary, Rajesh Singh, Rakesh K. Shukla, Mukesh Kumar, Florentin Smarandache
Comments: 8 pages

Khoshnevisan et al. (2007) proposed a general family of estimators for population mean using known value of some population parameters in simple random sampling. The objective of this paper is to propose a family of combined-type estimators in stratified random sampling adapting the family of estimators proposed by Khoshnevisan et al. (2007) under non-response. The properties of proposed family have been discussed. We have also obtained the expressions for optimum sample sizes of the strata in respect to cost of the survey. Results are also supported by numerical analysis.
Category: Statistics