univar {epibasix}R Documentation

Univariate Analysis of a Single Variable

Description

This function provides detailed univariate analysis for a single variable. Values include the sample mean, median, standard deviation and range, as well as tools for hypothesis tests and confidence intervals.

Usage

univar(X, alpha=0.05, mu0 = 0, shapiro=FALSE, digits=3)

Arguments

X A Vector of observed values from a continuous distribution
alpha The desired Type I Error Rate for Hypothesis Tests and Confidence Intervals
mu0 The null hypothesis for the true population mean
shapiro Logical: TRUE returns the Shapiro-Wilks Test for normality, this portion calls the shapiro.test function.
digits Number of Digits to round calculations

Details

This function provides a thorough summary of information within a vector. It conveniently calculates useful statistics at the call of a single command. Furthermore, it provides methods to test the hypothesis/construct confidence intervals for the true population mean.

Value

n Number of Observations Used
mean The sample mean of the observations in X.
median The sample median of the observations in X.
min The sample minimum of the observations in X.
max The sample maximum of the observations in X.
s The sample standard deviation of the observations in X.
var The sample variance of the observations in X.
test The test statistic for the null hypothesis mu
p.value The p.value for the test statistic for mu
CIL The lower bound of the constructed confidence interval for mu
CIU The upper bound of the constructed confidence interval for mu
shapiro.statistic The value of the Shapiro-Wilks Statistic for Normality.
shapiro.p.value The P-value of the Shapiro-Wilks Statistic for Normality.
alpha The desired Type I Error Rate for Hypothesis Tests and Confidence Intervals
mu0 The null hypothesis for the true population mean
shapiro Logical: TRUE returns the Shapiro-Wilks Test for normality
digits Number of Digits to round calculations

Author(s)

Michael Rotondi, mrotondi@uwo.ca

References

Casella G and Berger RL. Statistical Inference (2nd Ed.) Duxbury: New York, 2002.

Examples

x <- rexp(100);
univar(x);

[Package epibasix version 1.1 Index]