### Table 5: Canonical Correlations

"... In PAGE 27: ... The higher the correlation between the models, the less likely it is that either the Cox test or the Vuong can discriminate between them (see Anonymous 1999 for monte carlo simulation results). [ Table5 about here.] The Bayesian analysis echoes the results of the Cox and Vuong tests.... ..."

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### Table 7: Canonical Correlations

"... In PAGE 28: ... The nonnested tests should do a better job of discriminating between these models. [ Table7 about here.] The results of the Cox test are in Table 8, and they are quite clear.... ..."

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### Table 5 Canonical Correlations between Civic Involvement and Personal Characteristics among Adults in the United States by Canonical Function

"... In PAGE 51: ... The first three canonical correlations were meaningful with squared canonical correlation coefficients (RC2) greater than .10 (see Table5 ). To understand the relationship between these three functions and the two groups of variables (civic involvement and personal characteristics), it is necessary to examine the index coefficients reported on Tables 6 and 7.... In PAGE 51: ... Among adults in the total sample, the maximum correlation (RC2 = 0.386884) between civic involvement canonical variates and canonical variates for personal characteristics is contained in the first canonical function as shown in Table5 . This means that this function contains nearly 39% of the variance shared between civic involvement and personal characteristics.... In PAGE 55: ...Among adults in the total sample, the next highest correlation between civic involvement canonical variates and canonical variates for personal characteristics was 0.234256 in the second canonical function (see Table5 ). This means that this function explains about 23% of the variance shared between civic involvement and personal characteristics.... In PAGE 55: ... The last meaningful canonical correlation among adults in the total sample is 0.111556 in the third canonical function as shown in Table5 . This means that this function explains about 11% of the variance shared between civic involvement and personal characteristics.... ..."

### Table 4: Canonical Correlation Analysis for the Simulated Data: Method 3 and 4

"... In PAGE 9: ... Table 3 shows the results of the two simulations when an ordinary canonical correlation analysis was performed and when the first two of our four diagnostic methods were applied. Table4 shows the results when the last two of our four diagnostic methods were applied using both Huber and Campbell weighting systems. The distributions for the canonical correlations were reasonably normal allowing t-tests to be performed in order to compare these four methods.... In PAGE 9: ....0041 0.0041 0.0038 0.0047 0.0048 0.0045 Table4 shows the mean weights for the observations when the Robust Correlation and Robust Canonical Correlation methods are used as well as the average number of points deleted for the two simulations. The canonical correlation coefficients are all much higher than those found in Table 3 suggesting that methods 3 and 4 are more effective than methods 1 and 2.... ..."

### Table 11 Canonical Correlations between Civic Involvement and Personal Characteristics among Adults with Some College Education

"... In PAGE 62: ... In the canonical correlation analysis of the joint relationships between personal characteristics and civic involvement among adults with some college education, a total of 10 canonical correlations or functions were possible. As indicated in Table11 , the first three canonical correlations were meaningful with RC2 greater than .10.... In PAGE 66: ... Among adults with some college education, the next highest correlation between civic involvement canonical variates and canonical variates for personal characteristics is 0.228484 in the second canonical function (see Table11 ). This means that this function contains about 23% of the variance shared between civic involvement and personal characteristics.... In PAGE 67: ... Among adults with some college education, the last meaningful canonical correlation is 0.128164 in the third canonical function (see Table11 ). This means that this function contains about 13% of the variance shared between civic involvement and personal characteristics.... ..."

### Table 14 Canonical Correlations between Civic Involvement and Personal Characteristics among Adults with No College Education

"... In PAGE 68: ... The first three canonical correlations were meaningful with RC2 greater than .10 (see Table14 ). Details about the first three canonical functions are shown in Table 15 and Table 16.... In PAGE 72: ... Among adults with no college education, the next highest correlation between civic involvement canonical variates and canonical variates for personal characteristics was 0.195364 in the second canonical function as shown in Table14 . This means that this function contains about 20% of the variance shared between civic involvement and personal characteristics.... In PAGE 72: ... Among adults with no college education, the last meaningful canonical correlation between personal characteristics and civic involvement is 0.110889 in the third canonical function (see Table14 ). This means that this function contains about 11% of the variance shared between civic involvement and personal characteristics.... ..."

### Table 8 Canonical Correlations between Civic Involvement and Personal Characteristics among College Graduates

"... In PAGE 56: ... The first three canonical correlations were meaningful with RC2 greater than .10 (see Table8 ). To understand the relationships between these three functions and the relationships between civic involvement and personal characteristics among college graduates, examine the index coefficients shown in Table 9 and Table 10.... In PAGE 61: ...Among college graduates, the next highest correlation between a civic involvement canonical variate and a canonical variate for personal characteristics is 0.178929 in the second canonical function (see Table8 ). This means that this function contains nearly 18% of the variance shared between civic involvement and personal characteristics.... In PAGE 61: ... Among college graduates in the United States, the last meaningful canonical correlation is 0.133225 in the third canonical function (see Table8 ). This means that this function contains about 13% of the variance shared between civic involvement and personal characteristics.... ..."

### Table 3. Canonical correlation structure: correlation between the original variables and the canonical variate.

2002

"... In PAGE 30: ... The canonical structure is the most used and cited frequently but its usefulness in multivariate context is the least (Rencher, 1998; Johnson and Wichern, 2002). Within Each Data Set (Intra-set Correlation): a) Biological and Landscape Metrics: The correlation of each of the original variables with its canonical variate is given in Table3 a. For the first canonical variate, the direction of contribution was positive for the Hab, Rich and EPT, and was negative for the IBI and AgPT (Table 3a).... In PAGE 30: ... The canonical biota variate (Bio1 and Bio2) explained 41% of the variation in biological variables. b) Chemical and Landscape Metrics: Chem1 and Land1 basically represent the DO, EC and Slope3, respectively ( Table3 b). Chem2 and Land2 were loaded mainly by pH and Pct_for, respectively (Table 3b).... In PAGE 30: ... b) Chemical and Landscape Metrics: Chem1 and Land1 basically represent the DO, EC and Slope3, respectively (Table 3b). Chem2 and Land2 were loaded mainly by pH and Pct_for, respectively ( Table3 b). Chem1 and Land1 denote the common pattern between the two data sets that is contributed by Slope3 and DO.... In PAGE 30: ... The canonical landscape variates (Land1 and Land2) account for 57% of the variation in landscape variables, and the canonical chem variates (Chem1 and Chem2) account for 81% of the variation in water chemistry variables. c) Chemical and Biological Metrics: The direction of correlation was positive for all biological variables with the first canonical biological variate (Bio1, Table3 c). The highest correlation was with EPT (0.... In PAGE 30: ...74) and DO (-0.58), with Chem1 and Chem2, respectively ( Table3 c). The canonical Bio variates (Bio1 and Bio2) account for 49% of the variation in bio variables, and the canonical chem variates (Chem1 and Chem2) account for 71% of the variation in water chemistry variables.... In PAGE 30: ...xcept for EC (-0.74) and DO (-0.58), with Chem1 and Chem2, respectively (Table 3c). The canonical Bio variates (Bio1 and Bio2) account for 49% of the variation in bio variables, and the canonical chem variates (Chem1 and Chem2) account for 71% of the variation in water chemistry variables. One important point to make here is the discrepance in sign for some coefficients in a variate (page 19) and in the correlation ( Table3 ). For example, the coefficient values for the IBI and Rich (page 19, Landscape-Biological) have opposite values than for correlation (Table 3a).... In PAGE 30: ... One important point to make here is the discrepance in sign for some coefficients in a variate (page 19) and in the correlation (Table 3). For example, the coefficient values for the IBI and Rich (page 19, Landscape-Biological) have opposite values than for correlation ( Table3 a). This is normally explained by the collinearity between variables.... In PAGE 31: ...32, and -0.239; Table3 a). As pointed out earlier, Land1 was heavily weighted by Slope3.... In PAGE 31: ... b) Chemical and Landscape Metrics: Chemical parameters responded differently with changes in landscape. The correlation between the original chemical variables with both Land1 and Land2 ( Table3 b) indicated that there is a direct positive response of DO to the changes in Landscape, and it had the opposite response for pH and EC.... In PAGE 31: ...ad the opposite response for pH and EC. The strongest relationship was for DO (0.67). The magnitude of the correlation of DO with the Land1 is basically the response of DO to the topographical feature (Slope3). A high Pct_bar caused higher EC (Land1 and Chem1; Table3 b). All chemical variables were found to correlate positively with the Land2, with the highest value being for the pH.... In PAGE 31: ... The strength of the relationship may reveal the adequacy of the chemical data as a surrogate to biological data, which will be cost effective for future studies. The correlation between the chemical variable with both Bio1 and Bio2 ( Table3 c) indicates that there was a direct positive response of all biological data with Chem1 and Chem2. The strongest relationship was found for the EPT and Rich (0.... In PAGE 31: ...as found for the EPT and Rich (0.535 and 0.366) on Chem1, respectively. Chemical variables EC and DO correlate negatively with Bio1 and Bio2, respectively. The magnitude of the correlation of EC and DO with Bio1 and Bio2 ( Table3 c) basically influences the lower abundance of the EPT and Rich. The canonical Chemistry variates (Chem1 and Chem2) explain 15% variation of the biota.... In PAGE 31: ...g., EPT and Land1; Table3 a) is squared, the results are known as the squared multiple correlation or R2. For example, the square of 0.... In PAGE 31: ... For example, the square of 0.633 (correlation of EPT with Land1; Table3 ) is 0.4002.... ..."

### Table 1 Canonical Correlation Analysis for Nonturners, With Canonical Loadings and Weights for Variates 1 and 2

2005

"... In PAGE 19: ...ation of .95, H92732(8, N H11005 12) H11005 133.03, p H11005 .0001. Both functions were statistically significant (p H11021 .006; see Table1 ). The first and the second variate produced canonical correlations of .... ..."

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### Table 2 Canonical Correlation Analysis for Turners, With Canonical Loadings and Weights for Variates 1 and 2

2005

"... In PAGE 20: ...0001. Both functions were statistically significant (p H11021 .005; see Table2 ). The first and second variates produced canonical corre- lations of .... ..."

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