test1mu {svplots}

Tests the hypothesis over population mean based on one sample by Sv-plot2.

Description

Decision on hypothesis testing over single mean is made by graphing sample and population Sv-plot2s along with the threshold line. If the intersection point of two Sv-plot2s locates on or above the threshold line, the null hypothesis is rejected at specified significance level, otherwise, failed to reject.

Usage

test1mu(X,mu0=3.5,alpha=0.05,unkwnsigma=TRUE,sigma=NULL,xlab="x",
               title="Single mean: Hypothesis testing by Sv-plot2",
               samcol="grey5",popcol="grey45",thrcol="black",...)

Arguments

X

an n by 1 matrix, equivalently, a column vector of length n, where n is number of observations.

mu0

hypothesized population mean, mu0=3.5 by default.

alpha

significance level, alpha=0.05 by default.

unkwnsigma

population standard deviation is unknown, TRUE by default.

sigma

population standard deviation, NULL by default.

xlab

x-axis label, x by default.

title

title of the plot, Single mean: Hypothesis testing by Sv-plot2 by default.

samcol

sample Sv-plot2 color, grey5 by default.

popcol

sample Sv-plot2 color, grey45 by default.

thrcol

threshold color, black by default.

...

other graphical parameters.

Value

Decision on testing hypotheses over single population mean by Sv-plot2.

References

Wijesuriya, U. A. (2020). Sv-plots for identifying characteristics of the distribution and testing hypotheses. Communications in Statistics-Simulation and Computation, doi: 10.1080/03610918.2020.1851716.

Examples

   set.seed(5)
   X=matrix(rnorm(20,mean=3,sd=2))
   test1mu(X,mu0=3.5,alpha=0.05,unkwnsigma=TRUE,sigma=NULL,xlab="x",
           title="Single mean: Hypothesis testing by Sv-plot2",
           samcol="grey5",popcol="grey45",thrcol="black")