Incubation times for 295 patients thought to be infected with HIV by a blood transfusion

Data used in Exercise 6.60

Aids

Format

A data frame/tibble with 295 observations on three variables

duration

time (in months) from HIV infection to the clinical manifestation of full-blown AIDS

age

age (in years) of patient

group

a numeric vector

Source

Kalbsleich, J. and Lawless, J., (1989), An analysis of the data on transfusion related AIDS, Journal of the American Statistical Association, 84, 360-372.

References

Kitchens, L. J. (2003) Basic Statistics and Data Analysis. Pacific Grove, CA: Brooks/Cole, a division of Thomson Learning.

Examples

with(data = Aids,
EDA(duration)
)
#> [1] "duration"

#> Size (n)  Missing  Minimum   1st Qu     Mean   Median   TrMean   3rd Qu 
#>  295.000    0.000    0.000   18.000   31.908   29.000   31.154   42.000 
#>     Max.   Stdev.     Var.  SE Mean   I.Q.R.    Range Kurtosis Skewness 
#>   89.000   17.943  321.968    1.045   24.000   89.000   -0.232    0.633 
#> SW p-val 
#>    0.000 
with(data = Aids, 
     t.test(duration, mu = 30, alternative = "greater")
)
#> 
#> 	One Sample t-test
#> 
#> data:  duration
#> t = 1.8268, df = 294, p-value = 0.03437
#> alternative hypothesis: true mean is greater than 30
#> 95 percent confidence interval:
#>  30.18465      Inf
#> sample estimates:
#> mean of x 
#>  31.90847 
#> 
with(data = Aids, 
     SIGN.test(duration, md = 24, alternative = "greater")
)
#> 
#> 	One-sample Sign-Test
#> 
#> data:  duration
#> s = 174, p-value = 0.0002434
#> alternative hypothesis: true median is greater than 24
#> 95 percent confidence interval:
#>   27 Inf
#> sample estimates:
#> median of x 
#>          29 
#> 
#> Achieved and Interpolated Confidence Intervals: 
#> 
#>                   Conf.Level L.E.pt U.E.pt
#> Lower Achieved CI     0.9486     27    Inf
#> Interpolated CI       0.9500     27    Inf
#> Upper Achieved CI     0.9597     27    Inf
#>