univar: Univariate Analysis of a Single Variable

In epibasix: Elementary Epidemiological Functions for Epidemiology and Biostatistics

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, [e-mail]

References

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

Examples

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

Example output

Univariate Summary
 
Sample Size: 100
Sample Mean: 1.118 
Sample Median: 0.702 
Sample Standard Deviation: 1.1 

epibasix documentation built on May 2, 2019, 10:08 a.m.