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  • Articles and reports: 12-001-X201100111449
    Description:

    We analyze the statistical and economic efficiency of different designs of cluster surveys collected in two consecutive time periods, or waves. In an independent design, two cluster samples in two waves are taken independently from one another. In a cluster-panel design, the same clusters are used in both waves, but samples within clusters are taken independently in two time periods. In an observation-panel design, both clusters and observations are retained from one wave of data collection to another. By assuming a simple population structure, we derive design variances and costs of the surveys conducted according to these designs. We first consider a situation in which the interest lies in estimation of the change in the population mean between two time periods, and derive the optimal sample allocations for the three designs of interest. We then propose the utility maximization framework borrowed from microeconomics to illustrate a possible approach to the choice of the design that strives to optimize several variances simultaneously. Incorporating the contemporaneous means and their variances tends to shift the preferences from observation-panel towards simpler panel-cluster and independent designs if the panel mode of data collection is too expensive. We present numeric illustrations demonstrating how a survey designer may want to choose the efficient design given the population parameters and data collection cost.

    Release date: 2011-06-29

  • Articles and reports: 11-522-X200600110425
    Description:

    Suppose data for a survey with multi-stage design is to be collected in two periods of time. This paper assesses the relative merits of keeping the same clusters in the sample vs. sampling new clusters, under different statistical (correlation between clusters and over time) and logistical (costs of survey) scenarios. The design effect of re-using the same clusters from the master sample over time is of the form "1 - Ap(pi)/n" where "p" is intertemporal correlation of the cluster totals, "n" is the number of clusters, "pi" is the proportion of clusters retained from the previous round, and "A>0" is a fixed constant. As long as the efficiency gains appear to be minor, the value of the designs that reuse the clusters comes from the logistical (cost of the survey) considerations. Empirical demonstration that uses Demographic and Health Survey (DHS) data for Bangladesh, 1996 and 2000, is provided.

    Release date: 2008-03-17
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  • Articles and reports: 12-001-X201100111449
    Description:

    We analyze the statistical and economic efficiency of different designs of cluster surveys collected in two consecutive time periods, or waves. In an independent design, two cluster samples in two waves are taken independently from one another. In a cluster-panel design, the same clusters are used in both waves, but samples within clusters are taken independently in two time periods. In an observation-panel design, both clusters and observations are retained from one wave of data collection to another. By assuming a simple population structure, we derive design variances and costs of the surveys conducted according to these designs. We first consider a situation in which the interest lies in estimation of the change in the population mean between two time periods, and derive the optimal sample allocations for the three designs of interest. We then propose the utility maximization framework borrowed from microeconomics to illustrate a possible approach to the choice of the design that strives to optimize several variances simultaneously. Incorporating the contemporaneous means and their variances tends to shift the preferences from observation-panel towards simpler panel-cluster and independent designs if the panel mode of data collection is too expensive. We present numeric illustrations demonstrating how a survey designer may want to choose the efficient design given the population parameters and data collection cost.

    Release date: 2011-06-29

  • Articles and reports: 11-522-X200600110425
    Description:

    Suppose data for a survey with multi-stage design is to be collected in two periods of time. This paper assesses the relative merits of keeping the same clusters in the sample vs. sampling new clusters, under different statistical (correlation between clusters and over time) and logistical (costs of survey) scenarios. The design effect of re-using the same clusters from the master sample over time is of the form "1 - Ap(pi)/n" where "p" is intertemporal correlation of the cluster totals, "n" is the number of clusters, "pi" is the proportion of clusters retained from the previous round, and "A>0" is a fixed constant. As long as the efficiency gains appear to be minor, the value of the designs that reuse the clusters comes from the logistical (cost of the survey) considerations. Empirical demonstration that uses Demographic and Health Survey (DHS) data for Bangladesh, 1996 and 2000, is provided.

    Release date: 2008-03-17
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