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betaNB: Example Using the SCorNB Function

Ivan Jacob Agaloos Pesigan

Source: vignettes/example-s-cor-nb.Rmd
example-s-cor-nb.Rmd

Confidence intervals for semipartial correlation coefficients are generated using the SCorNB() function from the betaNB package. In this example, we use the data set and the model used in betaNB: Example Using the BetaNB Function.

df <- betaNB::nas1982

Regression

Fit the regression model using the lm() function.

object <- lm(QUALITY ~ NARTIC + PCTGRT + PCTSUPP, data = df)

Nonparametric Bootstrap 

nb <- NB(object)

Semipartial Correlation Coefficients

Normal-Theory Approach 

out <- SCorNB(nb, alpha = 0.05)

Methods

summary

Summary of the results of SCorNB().

Percentile Confidence Intervals 

summary(out, type = "pc")
#> Call:
#> SCorNB(object = nb, alpha = 0.05)
#> 
#> Semipartial correlations
#> type = "pc"
#>            est     se    R   2.5%  97.5%
#> NARTIC  0.4312 0.0683 5000 0.2875 0.5599
#> PCTGRT  0.3430 0.0715 5000 0.1888 0.4690
#> PCTSUPP 0.2385 0.0720 5000 0.0930 0.3750

Bias Corrected Confidence Intervals 

summary(out, type = "bc")
#> Call:
#> SCorNB(object = nb, alpha = 0.05)
#> 
#> Semipartial correlations
#> type = "bc"
#>            est     se    R   2.5%  97.5%
#> NARTIC  0.4312 0.0683 5000 0.3025 0.5742
#> PCTGRT  0.3430 0.0715 5000 0.2065 0.4818
#> PCTSUPP 0.2385 0.0720 5000 0.1028 0.3846

Bias Corrected and Accelerated Confidence Intervals 

summary(out, type = "bca")
#> Call:
#> SCorNB(object = nb, alpha = 0.05)
#> 
#> Semipartial correlations
#> type = "bca"
#>            est     se    R   2.5%  97.5%
#> NARTIC  0.4312 0.0683 5000 0.3126 0.5840
#> PCTGRT  0.3430 0.0715 5000 0.2156 0.4945
#> PCTSUPP 0.2385 0.0720 5000 0.0985 0.3817

coef

Return the vector of estimates.

coef(out)
#>    NARTIC    PCTGRT   PCTSUPP 
#> 0.4311525 0.3430075 0.2384789

vcov

Return the sampling covariance matrix.

vcov(out)
#>                NARTIC        PCTGRT       PCTSUPP
#> NARTIC   0.0046676875 -0.0004580444 -0.0005958745
#> PCTGRT  -0.0004580444  0.0051159941 -0.0007142684
#> PCTSUPP -0.0005958745 -0.0007142684  0.0051825083

confint

Return confidence intervals.

Percentile Confidence Intervals 

confint(out, level = 0.95, type = "pc")
#>              2.5 %    97.5 %
#> NARTIC  0.28754273 0.5598947
#> PCTGRT  0.18884765 0.4690436
#> PCTSUPP 0.09302381 0.3750306

Bias Corrected Confidence Intervals 

confint(out, level = 0.95, type = "bc")
#>             2.5 %    97.5 %
#> NARTIC  0.3025181 0.5742005
#> PCTGRT  0.2064524 0.4818210
#> PCTSUPP 0.1028025 0.3846028

Bias Corrected and Accelerated Confidence Intervals 

confint(out, level = 0.95, type = "bca")
#>              2.5 %    97.5 %
#> NARTIC  0.31255286 0.5840409
#> PCTGRT  0.21557522 0.4945446
#> PCTSUPP 0.09847316 0.3816628

References