scholarly journals An Evaluation of the Pearsonian Type I Curve of Fertility for Aboriginal Populations in Canada, 1996 to 2001

2008 ◽  
Vol 35 (2) ◽  
pp. 357
Author(s):  
Ravi B. P. Verma ◽  
Shirley Loh

In 2005, Statistics Canada published new projections of the Aboriginal populations (North American Indians, Métis, and Inuit) in Canada, the provinces and territories from 2001 to 2017. To derive the number of births in these projections, the age-specific fertility rates were simulated by fitting the Pearsonian Type I curve using the projected fertility parameters: total fertility rates, mean ages of fertility, and modal ages of fertility. For the base period 1996 to 2001, the parameters were estimated from the age-specific fertility rates derived from the 2001 Census, using the “own-children method.” This paper evaluates the goodness of fit between the age-specific fertility rates developed by the Type I curve and the estimated age-specific fertility rates for Aboriginal identity groups for the period 1996 to 2001 for Canada and for high and low fertility regions. Tests of validity of the Type I curve indicate that this method is appropriate for estimating/projecting the number of births for the Aboriginal populations.


2010 ◽  
Vol 37 (1-2) ◽  
pp. 151 ◽  
Author(s):  
Norbert Robitaille ◽  
Éric Guimond ◽  
Alexandre Boucher

This article deals with the contribution of intergenerational ethnic mobility to the demographic reproduction of the Aboriginal groups in Canada: the North American Indians, the Métis and the Inuit. To this effect, it attempts to see if children in husband/wife census families keep the identity of their parents. As expected, children from endogamous couples generally keep their parents’ identity. However, for most children from exogamous couples formed by an Aboriginal person and a non-Aboriginal person, the Aboriginal identity prevails over the non-Aboriginal identity. If Aboriginal identities were “not attractive” identities when declaring the ethnic affiliation of children in situations of exogamous unions, then the size of the Aboriginal population in Canada would be significantly smaller.



2004 ◽  
Vol 31 (2) ◽  
pp. 179 ◽  
Author(s):  
Bali Ram

Using census data on children in families, this paper estimates various fertility measures for the total aboriginal population and four specific groups, North American Indians, Registered Indians, Metis, and Inuit. The “own-children” procedure is used for deriving the number of births by the age of the mother during specific years preceding the census. The major focus of the paper is on the trends of total fertility rate and the convergence of age patterns between various subgroups over the past 30 years. Strengths and limitations of the method are also discussed.



JAMA ◽  
1926 ◽  
Vol 86 (13) ◽  
pp. 970
Author(s):  
L. Webster Fox








2012 ◽  
Vol 29 (2) ◽  
pp. 419-446 ◽  
Author(s):  
Anil K. Bera ◽  
Aurobindo Ghosh ◽  
Zhijie Xiao

The two-sample version of the celebrated Pearson goodness-of-fit problem has been a topic of extensive research, and several tests like the Kolmogorov-Smirnov and Cramér-von Mises have been suggested. Although these tests perform fairly well as omnibus tests for comparing two probability density functions (PDFs), they may have poor power against specific departures such as in location, scale, skewness, and kurtosis. We propose a new test for the equality of two PDFs based on a modified version of the Neyman smooth test using empirical distribution functions minimizing size distortion in finite samples. The suggested test can detect the specific directions of departure from the null hypothesis. Specifically, it can identify deviations in the directions of mean, variance, skewness, or tail behavior. In a finite sample, the actual probability of type-I error depends on the relative sizes of the two samples. We propose two different approaches to deal with this problem and show that, under appropriate conditions, the proposed tests are asymptotically distributed as chi-squared. We also study the finite sample size and power properties of our proposed test. As an application of our procedure, we compare the age distributions of employees with small employers in New York and Pennsylvania with group insurance before and after the enactment of the “community rating” legislation in New York. It has been conventional wisdom that if community rating is enforced (where the group health insurance premium does not depend on age or any other physical characteristics of the insured), then the insurance market will collapse, since only older or less healthy patients would prefer group insurance. We find that there are significant changes in the age distribution in the population in New York owing mainly to a shift in location and scale.



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