Analysis

We revisit the relationship between the design effects for the weighted total estimator and the weighted mean estimator under complex survey sampling. Examples are provided under various cases. Furthermore, some of the misconceptions surrounding design effects will be clarified with examples.

Cochran (1977, p.374) proposed some ratio and regression estimators of the population mean using the Hansen and Hurwitz (1946) procedure of sub-sampling the non-respondents assuming that the population mean of the auxiliary character is known. For the case where the population mean of the auxiliary character is not known in advance, some double (two-phase) sampling ratio and regression estimators are presented in this article. The relative performances of the proposed estimators are compared with the estimator proposed by Hansen and Hurwitz (1946).

The Canadian Labour Force Survey uses the rotation panel design. Every month, one sixth of the sample rotates and five sixths remain. Hence, under this rotation scheme, once a rotation panel enters in the sample, it stays 6 months in the sample before it rotates out. Because of this design feature and the way of selecting the rotate-in panel, the estimates based on the panels in the same or different months are correlated. The correlation between two panel estimates is called the panel correlation. Three kinds of panel correlations are defined in this paper: (1) the correlation (denoted by \rho) between estimates for the same characteristic based on the same panel in different months; (2) the correlation (denoted by \gamma) between estimates of the same characteristic based on geographically neighboring panels in different months; (3) the correlation (denoted by \tau) between estimates of different characteristics based on the same panel in the same or different months. This paper describes a methodology for estimating these panel correlations and presents estimated correlations for selected variables using 1980-81 and 1985-87 data with some discussion.

We revisit the relationship between the design effects for the weighted total estimator and the weighted mean estimator under complex survey sampling. Examples are provided under various cases. Furthermore, some of the misconceptions surrounding design effects will be clarified with examples.

Cochran (1977, p.374) proposed some ratio and regression estimators of the population mean using the Hansen and Hurwitz (1946) procedure of sub-sampling the non-respondents assuming that the population mean of the auxiliary character is known. For the case where the population mean of the auxiliary character is not known in advance, some double (two-phase) sampling ratio and regression estimators are presented in this article. The relative performances of the proposed estimators are compared with the estimator proposed by Hansen and Hurwitz (1946).

The Canadian Labour Force Survey uses the rotation panel design. Every month, one sixth of the sample rotates and five sixths remain. Hence, under this rotation scheme, once a rotation panel enters in the sample, it stays 6 months in the sample before it rotates out. Because of this design feature and the way of selecting the rotate-in panel, the estimates based on the panels in the same or different months are correlated. The correlation between two panel estimates is called the panel correlation. Three kinds of panel correlations are defined in this paper: (1) the correlation (denoted by \rho) between estimates for the same characteristic based on the same panel in different months; (2) the correlation (denoted by \gamma) between estimates of the same characteristic based on geographically neighboring panels in different months; (3) the correlation (denoted by \tau) between estimates of different characteristics based on the same panel in the same or different months. This paper describes a methodology for estimating these panel correlations and presents estimated correlations for selected variables using 1980-81 and 1985-87 data with some discussion.