Table 3
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, men

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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, men


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 -0.00215  Note 3 0.04270  Note 1 -0.00546  Note 3 0.2790  Note 2 0.07050  Note 2
United Kingdom 5 0.00417  Note 3 -0.02090  Note 1 -0.00539  Note 1 0.4980  Note 2 0.03890  Note 2
United States none 0.00353  Note 1 Note ...: not applicable Note ...: not applicable 0.4010  Note 2 0.01930  Note 2
High similarity to English  
Italy 9 -0.0111  Note 1 0.0799  Note 1 0.0302  Note 1 0.9510  Note 2 0.0  Note 2
Portugal 6 0.0028  Note 3 0.0644  Note 1 0.0256  Note 1 0.9690  Note 2 0.0  Note 2
Rest of world 6 0.0140  Note 3 -0.05220  Note 1 0.000116  Note 3 0.7430  Note 2 0.00010  Note 2
Low similarity to English  
Hong Kong 5 -0.00766  Note 1 0.01930  Note 3 0.01360  Note 1 0.8680  Note 2 0.0  Note 2
India 7 -0.0160  Note 3 -0.0121  Note 3 0.0377  Note 1 0.8920  Note 2 0.0  Note 2
Rest of world 7 0.00826  Note 3 -0.0490  Note 1 0.02250  Note 1 0.9620  Note 2 0.0  Note 2
Medium similarity to English none 0.00466  Note 2 Note ...: not applicable Note ...: not applicable 0.5320  Note 2 0.00050  Note 2
French 6 -0.00387  Note 2 0.120  Note 1 -0.00782  Note 2 0.7450  Note 2 0.00030  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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