Skip to contents

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")
#>            est     se    R   2.5%  97.5%
#> NARTIC  0.4312 0.0692 5000 0.2861 0.5550
#> PCTGRT  0.3430 0.0725 5000 0.1865 0.4738
#> PCTSUPP 0.2385 0.0710 5000 0.0941 0.3685

Bias Corrected Confidence Intervals 

summary(out, type = "bc")
#>            est     se    R   2.5%  97.5%
#> NARTIC  0.4312 0.0692 5000 0.3034 0.5699
#> PCTGRT  0.3430 0.0725 5000 0.2039 0.4911
#> PCTSUPP 0.2385 0.0710 5000 0.1061 0.3836

Bias Corrected and Accelerated Confidence Intervals 

summary(out, type = "bca")
#>            est     se    R   2.5%  97.5%
#> NARTIC  0.4312 0.0692 5000 0.3107 0.5808
#> PCTGRT  0.3430 0.0725 5000 0.2139 0.5060
#> PCTSUPP 0.2385 0.0710 5000 0.1027 0.3772

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   0.0047869661 -0.0003067722 -0.0006021082
#> PCTGRT  -0.0003067722  0.0052578821 -0.0007387335
#> PCTSUPP -0.0006021082 -0.0007387335  0.0050392930

confint

Return confidence intervals.

Percentile Confidence Intervals 

confint(out, level = 0.95, type = "pc")
#>              2.5 %    97.5 %
#> NARTIC  0.28612910 0.5550361
#> PCTGRT  0.18647043 0.4738107
#> PCTSUPP 0.09410132 0.3685063

Bias Corrected Confidence Intervals 

confint(out, level = 0.95, type = "bc")
#>             2.5 %    97.5 %
#> NARTIC  0.3034241 0.5699215
#> PCTGRT  0.2038687 0.4910689
#> PCTSUPP 0.1061061 0.3835750

Bias Corrected and Accelerated Confidence Intervals 

confint(out, level = 0.95, type = "bca")
#>             2.5 %    97.5 %
#> NARTIC  0.3106683 0.5807758
#> PCTGRT  0.2139125 0.5060262
#> PCTSUPP 0.1026950 0.3771865

References