A review on survey designs adopted by statistics Botswana
- 1University of Botswana, Private Bag: UB 00705, Gaborone, Botswana
- 2University of Botswana, Private Bag: UB 00705, Gaborone, Botswana
- 3University of Botswana, Private Bag: UB 00705, Gaborone, Botswana
Int. Res. J. Social Sci., Volume 7, Issue (5), Pages 34-38, May,14 (2018)
Statistics Botswana, Statistics South Africa and several other statistical organizations conduct nation wide surveys on regular basis using complex survey designs. The designs comprises of statification, clustering and unequal probability of selection of samples. In such sampling designs, the first-stage units are selected with unequal probability sampling design and the second-stage units are selected with systematic sampling procedures. It has been pointed out that the unbiased variance estimation for certain population characteristics such as the population mean and proportion for such sampling designs do not exist. Apart from the variance estimation, several standard statistical tests such as goodness of fit, independency and homogenity are not valid for such designs. Standard software packages SPSS, BMDP and SAS provides very often erroneous results. In this paper we have reviewed various methods of variance estimation, independency and testing hypothesis for complex survey designs adapted by the Statistics Botswana.
- Goodman R. and Kish L. (1950)., Controlled selection-a technique in probability sampling., Journal of the American Statistical Association, 45, 350-372.
- Arnab R., Zewotir T. and North D. (2015)., Variance estimation from complex survey designs: A case study of Household Income and Expenditure Survey Design 2002/03, Botswana., Communications in Statistics-Theory and Methods, 44, 63-79.
- Chaudhuri A. and Arnab R. (1982)., On Unbiased Variance-Estimation with Various Multi-Stage Sampling Strategies., Sankhyā, 44, 92-101.
- Madow W.G. (1949)., On the Theory of Systematic Sampling, II., The Annals of Mathematical Statistics, 20, 333-354.
- Arnab R. and Arcos A. (2016)., Jackknife variance estimation from complex survey designs., Hacettepe Journal of Mathematics and Statistics (in press).
- Hartley H.O. and Rao J.N.K. (1962)., Sampling with unequal probabilities and without replacement., The Annals of Mathematical Statistics, 33, 350-374.
- Arnab R., Malambo T. and North D. (2014)., Chi-square tests for complex survey designs: A case study of Botswana Aids Impact survey III., Pakistan Journal of Statistics, 30, 373-384.
- Wolter K.M. (1985)., Introduction to Variance Estimation., Sprinkler-Verlag, New York.
- Sediadie T. (2008)., Variance estimation techniques in complex survey sampling design Case study: Botswana Household Income and Expenditure Survey (HIES) 2002/03., unpublished MA statistics thesis, University of Botswana.
- Central Statistical Office (2004)., Household Income and Expenditure Survey 2002/03., , Republic of Botswana.
- Central Statistics Central Statistical Office (2005)., The Botswana Aids Impact Survey II 2004., Republic of Botswana.
- Central Statistical Office (2009)., The Botswana Family Health Survey 2007., Republic of Botswana.
- Arnab R. and North D. (2012)., An appraisal of Household Income and Expenditure Survey design., Pakistan Journal of Statistics, 28, 423-436.
- Rao J.N.K and Scott A.J. (1981)., The Analysis of Categorical Data from Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two-Way Tables., Journal of the American Statistical Association, 76, 221-230.
- Rao J.N.K., Hartley H.O. and Cochran W.G. (1962)., A simple procedure of unequal probability sampling without replacement., Journal of the Royal Statistical Society, B., 24, 482-491.