Table 4
Least squares regression results for most likely thresholds (T) of age-at-arrival effects on not obtaining a high school diploma, by origin region according to linguistic distance from English, women

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Least squares regression results for most likely thresholds (T) of age-at-arrival effects on not obtaining a high school diploma, by origin region according to linguistic distance from English, women


Table summary
This table displays the results of least squares regression results for most likely thresholds (t) of age-at-arrival effects on not obtaining a high school diploma turning point with maximum r-squared (t), age at arrival, threshold (t), t × age at arrival, r-squared and p value for f-test of all regressors equal to zero, calculated using years, coefficient, r-squared and p value units of measure (appearing as column headers).

  Turning point with maximum R-squared (T) Age at arrival Threshold (T) T × age at arrival R-squared P value for F-test of
all regressors equal to zero
  years coefficient R-squared P value
English  
Rest of world 11 0.000573  Note 3 -0.02590  Note 3 0.01070  Note 2 0.3960  Note 2 0.00510  Note 2
United Kingdom 8 -0.002960  Note 1 0.01580  Note 2 0.000655  Note 3 0.760  Note 2 0.0  Note 2
United States 5 -0.00573  Note 3 0.0120  Note 3 0.01350  Note 1 0.6620  Note 2 0.00010  Note 2
High similarity to English  
Italy 11 0.00672  Note 3 0.03690  Note 3 0.03990  Note 1 0.9760  Note 2 0.0  Note 2
Portugal 5 0.00317  Note 3 -0.00469  Note 3 0.03090  Note 1 0.9660  Note 2 0.0  Note 2
Rest of world 6 -0.00191  Note 3 0.04820  Note 2 0.00577  Note 3 0.7170  Note 2 0.00010  Note 2
Low similarity to English  
Hong Kong 9 -0.00744  Note 1 -0.05020  Note 1 0.01880  Note 1 0.7520  Note 2 0.0  Note 2
India 8 -0.00292  Note 3 -0.02240  Note 3 0.03710  Note 1 0.9520  Note 2 0.0  Note 2
Rest of world 11 0.00146  Note 3 0.03490  Note 1 0.03560  Note 1 0.9870  Note 2 0.0  Note 2
Medium similarity to English 5 0.00401  Note 1 -0.04480  Note 1 0.00428  Note 1 0.8780  Note 2 0.0  Note 2
French 12 -0.00150  Note 3 0.06940  Note 2 -0.01430  Note 2 0.4950  Note 2 0.01470  Note 2
1.
Marginal significance is less than or equal to 0.05.
2.
Marginal significance is greater than 0.05 and less than or equal to 0.10.
3.
Marginal significance is greater than 0.10.
Note(s):
Derivation by author from Statistics Canada, 2006 Census using analytical files described in the text. T refers to the threshold used in the estimation of a piece-wise linear least squares model. Results presented are those for models with highest R-squared among all possible thresholds from 5 to 12 years. Sample size for each line is 18 observations on weighted average attainment by age at arrival from 0 to 17. All models include a constant term and a control for the proportion of each age group not having English or French as a mother tongue. All regressions use analytical weights. Standard errors are robust to hetroscedasticity. P value for the F test refers to the null hypothesis that all regressors except the constant equal 0.
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