Statistical techniques
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- Articles and reports: 75F0002M1996011Description:
This paper looks at the family data from the Survey of Labour and Income Dynamics (SLID). It also provides an explanation of the approach used in the SLID to convey changes in the family as well as examples to indicate how family data can be analysed longitudinally.
Release date: 1997-12-31 - Articles and reports: 62F0014M19970103363Geography: CanadaDescription:
The debate over problems in measuring inflation is not new. It has recently been revived by the publication of a report by an Advisory Commission to the U.S. Senate. The Commission, chaired by Michael J. Boskin, found that the U.S. Consumer Price Index (CPI) overestimates inflation by 1.1 percentage points a year. This article shows that the potential bias in the French CPI is on a far lower order of magnitude. It is hard to summarize the changes in a multitude of prices with a single figure. Even in the best-case theoretical scenario - a single consumer faced with a spending decision - the treatment of substitutions between existing products raises important problems. Nevertheless, it is possible to provide a fairly accurate description of the various possible alternatives and the statistical procedures used in France largely shield the country's index from criticism on this point. The introduction of new products creates serious difficulties that have not been entirely resolved in the United States, in France, or elsewhere: "new products" is used here in the broad sense to denote (1) genuinely new products on the market and (2) products already sold elsewhere but introduced in a new sales outlet, replacing existing products or not. The Boskin Commission estimates the upward bias in the U.S. CPI due to new products at 0.6 percentage points per year. The Commission's claim rest on fragile and probably exaggerated estimates. Our conclusion converges with the opinion of several U.S. statisticians.
Release date: 1997-10-02 - 3. A computer algebra for sample survey theory ArchivedArticles and reports: 12-001-X19970013100Description:
A system of procedures that can be used to automate complicated algebraic calculations frequently encountered in sample survey theory is introduced. It is shown that three basic techniques in sampling theory depend on the repeated application of rules that give rise to partitions: the computation of expected values under any unistage sampling design, the determination of unbiased or consistent estimators under these designs and the calculation of Taylor series expansions. The methodology is illustrated here through applications to moment calculations of the sample mean, the ratio estimator and the regression estimator under the special case of simply random sampling without replacement. The innovation presented here is that calculations can now be performed instantaneously on a computer without error and without reliance on existing formulae which may be long and involved. One other immediate benefit of this is that calculations can be performed where no formulae which may be long and involved. One other immediate benefit of this is that calculations can be performed where no formulae presently exist. The computer code developed to implement this methodology is available via anonymous ftp at fisher.stats.uwo.ca.
Release date: 1997-08-18
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- Articles and reports: 75F0002M1996011Description:
This paper looks at the family data from the Survey of Labour and Income Dynamics (SLID). It also provides an explanation of the approach used in the SLID to convey changes in the family as well as examples to indicate how family data can be analysed longitudinally.
Release date: 1997-12-31 - Articles and reports: 62F0014M19970103363Geography: CanadaDescription:
The debate over problems in measuring inflation is not new. It has recently been revived by the publication of a report by an Advisory Commission to the U.S. Senate. The Commission, chaired by Michael J. Boskin, found that the U.S. Consumer Price Index (CPI) overestimates inflation by 1.1 percentage points a year. This article shows that the potential bias in the French CPI is on a far lower order of magnitude. It is hard to summarize the changes in a multitude of prices with a single figure. Even in the best-case theoretical scenario - a single consumer faced with a spending decision - the treatment of substitutions between existing products raises important problems. Nevertheless, it is possible to provide a fairly accurate description of the various possible alternatives and the statistical procedures used in France largely shield the country's index from criticism on this point. The introduction of new products creates serious difficulties that have not been entirely resolved in the United States, in France, or elsewhere: "new products" is used here in the broad sense to denote (1) genuinely new products on the market and (2) products already sold elsewhere but introduced in a new sales outlet, replacing existing products or not. The Boskin Commission estimates the upward bias in the U.S. CPI due to new products at 0.6 percentage points per year. The Commission's claim rest on fragile and probably exaggerated estimates. Our conclusion converges with the opinion of several U.S. statisticians.
Release date: 1997-10-02 - 3. A computer algebra for sample survey theory ArchivedArticles and reports: 12-001-X19970013100Description:
A system of procedures that can be used to automate complicated algebraic calculations frequently encountered in sample survey theory is introduced. It is shown that three basic techniques in sampling theory depend on the repeated application of rules that give rise to partitions: the computation of expected values under any unistage sampling design, the determination of unbiased or consistent estimators under these designs and the calculation of Taylor series expansions. The methodology is illustrated here through applications to moment calculations of the sample mean, the ratio estimator and the regression estimator under the special case of simply random sampling without replacement. The innovation presented here is that calculations can now be performed instantaneously on a computer without error and without reliance on existing formulae which may be long and involved. One other immediate benefit of this is that calculations can be performed where no formulae which may be long and involved. One other immediate benefit of this is that calculations can be performed where no formulae presently exist. The computer code developed to implement this methodology is available via anonymous ftp at fisher.stats.uwo.ca.
Release date: 1997-08-18
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