theil: Function to estimate and perform tests on the slope and...

In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

Function to estimate and perform tests on the slope and intercept of a simple linear model.

Description

This code estimates and performs tests on the slope and intercept of a simple linear model. Based on chapter 9 of Hollander, Wolfe & Chicken, Nonparametric Statistical Methods, 3e.

Usage

theil(x=NULL, y=NULL, alpha=0.05, beta.0=0, type="t", 
      example=FALSE, r=3, slopes=F, doplot=TRUE) 

Arguments

x	first data vector
y	second data vector
alpha	the significance level
beta.0	the null hypothesized value
type	can be "t" (two-sided), "u" (upper) or "l" (lower). The type refers both to the test and the confidence interval.
example	if true, will analyze the data from Example 9.1
r	the number of places for rounding. Increase it if your P-values are coming out as 0 or 1.
slopes	if true, will print all n(n-1)/2 slopes
doplot	if true, will plot the data and estimated line

Value

Returns a list with "NSM3Ch9ChickFn" class containing the following components:

alpha	same as input argument
beta.0	same as input argument
type	same as input argument
r	same as input argument
slopes	same as input argument
C.stat	the observed C statistic
C.bar	the observed C.bar statistic
alpha.hat	the observed alpha.hat statistic
beta.hat	the observed beta.hat statistic
slopes.table	table containing all n(n-1)/2
p.val	the P-value corresponding to the selected type of test/confidence interval
L	the lower endpoint of the confidence interval
U	the upper endpoint of the confidence interval

Author(s)

Eric Chicken

Examples

##Example 9.1 Hollander-Wolfe-Chicken##
theil (x, y, example=TRUE, slopes=TRUE)

NSM3 documentation built on Sept. 8, 2023, 5:52 p.m.