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Brian S. Everitt A Handbook of Statistical Analyses using SPSS

Brian S. Everitt A Handbook of Statistical Analyses using SPSS

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a) “Parametric” correlation coefficients<br />

husbands' ages at<br />

marriage<br />

wives' ages at marriage<br />

Correlations<br />

Pearson Correlation<br />

Sig. (2-tailed)<br />

N<br />

Pearson Correlation<br />

Sig. (2-tailed)<br />

N<br />

**.<br />

Correlation is significant at the 0.01 level (2-tailed).<br />

b) “Non-parametric” correlation coefficients<br />

Kendall's tau_b<br />

Spearman's rho<br />

husbands' ages at<br />

marriage<br />

wives' ages at marriage<br />

husbands' ages at<br />

marriage<br />

wives' ages at marriage<br />

Correlations<br />

**.<br />

Correlation is significant at the .01 level (2-tailed).<br />

husbands'<br />

ages at<br />

marriage<br />

Correlation Coefficient<br />

Sig. (2-tailed)<br />

N<br />

Correlation Coefficient<br />

Sig. (2-tailed)<br />

N<br />

Correlation Coefficient<br />

Sig. (2-tailed)<br />

N<br />

Correlation Coefficient<br />

Sig. (2-tailed)<br />

N<br />

wives' ages<br />

at marriage<br />

1 .912**<br />

. .000<br />

100 100<br />

.912** 1<br />

.000 .<br />

100 100<br />

husbands'<br />

ages at<br />

marriage<br />

wives' ages<br />

at marriage<br />

1.000 .761**<br />

. .000<br />

100 100<br />

.761** 1.000<br />

.000 .<br />

100 100<br />

1.000 .899**<br />

. .000<br />

100 100<br />

.899** 1.000<br />

.000 .<br />

100 100<br />

Display 2.25 Correlations between husbands’ and wives’ ages at marriage.<br />

The table also gives another t-test for testing the null hypothesis that the<br />

regression coefficient is zero. In this example, as is the case in most<br />

applications, we are not interested in the intercept. In contrast, the slope<br />

parameter allows us to assess whether husbands’ age at marriage is<br />

predictable from wives’ age at marriage. The very small p-value associated<br />

with the test gives clear evidence that the regression coefficient differs<br />

from zero. The size <strong>of</strong> the estimated regression coefficient suggests that<br />

for every additional year <strong>of</strong> age <strong>of</strong> the wife at marriage, the husband’s age<br />

also increases by one year (for more comments on interpreting regression<br />

coefficients see Chapter 4).<br />

© 2004 by Chapman & Hall/CRC Press LLC

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