{"title":"Comparison of the Efficiency of the Various Algorithms in Stratified Sampling when the Initial Solutions are Determined with Geometric Method","authors":"S. Er","doi":"10.5923/J.STATISTICS.20120201.01","DOIUrl":"https://doi.org/10.5923/J.STATISTICS.20120201.01","url":null,"abstract":"The main aim of this paper is to examine the efficiency of Genetic Algorithm (GA) of Keskinturk and Er (2007)[1], Kozak’s (2004) Random Search[2] and Lavallee and Hidiroglou’s (1988) Iterative Algorithm method[3] on determination of the stratum boundaries that minimize the variance of the estimate. Initial starting boundaries of the mentioned algorithms are obtained randomly. Here, it is aimed to reach better results in a shorter period of time by utilizing the initial boundaries obtained from Gunning and Horgan’s (2004) geometric method[4] compared to the random initial boundaries. Three algorithms are applied on various populations with both random and geometric initial boundaries and their performances are compared. With the stratification of 11 heterogenous populations that have different properties, higher variance of the estimates or infeasible solutions can be observed once the initial boundaries are obtained with geometric method.","PeriodicalId":91518,"journal":{"name":"International journal of statistics and applications","volume":"26 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86102779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Statistical Modeling for Wheat (Triticum Aestivum) Crop Production","authors":"R. Arunachalam, V. Balakrishnan","doi":"10.5923/J.STATISTICS.20120204.03","DOIUrl":"https://doi.org/10.5923/J.STATISTICS.20120204.03","url":null,"abstract":"The present investigation was carried out to study the trends in area, production and productivity of wheat crop grown during the period 1950-1951 to 2009-2010 in India. Different non-linear models were employed to study the trends in area, production and productivity. When none of the non-linear models were found suitable to fit the trends nonparametric regression model was employed. None of the non-linear model was found suitable to fit the trends in area data. The Sinusoidal model was found suitable to fit the trends in production as well as productivity of wheat crop grown in India. The results indicated that area, production and productivity of wheat crop grown in India, had been shown in the increasing trend. The area of cultivation had played a major role in increasing the trend in production.","PeriodicalId":91518,"journal":{"name":"International journal of statistics and applications","volume":"90 1","pages":"40-46"},"PeriodicalIF":0.0,"publicationDate":"2012-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84468339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Symmetric and Unsymmetric Balanced Incomplete Block Designs: A Comparative Analysis","authors":"A. C. Kelechi","doi":"10.5923/J.STATISTICS.20120204.02","DOIUrl":"https://doi.org/10.5923/J.STATISTICS.20120204.02","url":null,"abstract":"This paperdiscusses a comparat ive analysis on balanced incomp lete block designs by using the classical analysis of variance (ANOVA ) method. Fortunately, the data co llected for the analysis were in t wo groups of the balanced incomp lete-block designs (BIBD's), that is, symmetric, and unsymmetric (BIBD's). In this paper, the basic interest is to apply classical ANOVA on the two types of BIBD's and check whether they are significant and also minimizes error. A secondary data fro m N.R.C.R.I, Umud ike, Abia State was used. To ach ieve this, we shall consider treat ment (adjusted), b lock (adjusted) treatment (not adjusted) in the classical ANOVA method on the available data. Though, symmetric balanced incomp lete block design (SBIBD) and unsymmetric balanced incomp lete block design (USBIBD) are significant, it is pertinent to note that the SBIBD classical A NOVA method is found to be preferable to the USBIBD with reference to their variances at different level of significance.","PeriodicalId":91518,"journal":{"name":"International journal of statistics and applications","volume":"128 1","pages":"33-39"},"PeriodicalIF":0.0,"publicationDate":"2012-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77537967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}