Chapter 4
The Two Sample Location Problem
With Independent Samples
4.1 Wilcoxon Rank Sum Test
This test was first published by Wilcoxon in 1945. That is why some authors refer to this test as the
Wilcoxon Rank Sum Test (because it is based on the sum of r
Chapter 3
One Sample Location Problem
Introduction
Remember the measures of location from your previous statistics course(s)? These are
the parameters of a population that tell where the population data are located. You should
have heard of the mean (arit
Chapter 3
One Sample Location Problem
Introduction
Remember the measures of location from your previous statistics course(s)? These are the
parameters of a population that tell where the population data are located. You should have heard
of the mean (arit
Revised August 12, 2004
Chapter 2
The Dichotomous Problem (1)
Introduction
The data in this chapter is of the dichotomous type of independent repeated Bernoulli
trials having constant probability of success p.
Thus, we have an experiment that has two poss
Revised August 12, 2004
Chapter 2
The Dichotomous Problem (1)
Introduction
The data in this chapter is of the dichotomous type of independent repeated Bernoulli
trials having constant probability of success p.
Thus, we have an experiment that has two poss
Nonparametric
Statistical
Methods
Yaar Yeilay
These notes are based on those prepared by
PROFESSOR RONALD H. RANDLES
With Some Portions prepared by
Professor Dennis Wackerly
Fall 2011
Stat 4502 Chap 1, Page 1 of 6
Chapter 1
Preliminaries
One of the most i
Nonparametric
Statistical
Methods
Yaar Yeilay
These notes are based on those prepared by
PROFESSOR RONALD H. RANDLES
With Some Portions prepared by
Professor Dennis Wackerly
Fall 2011
Chapter 1
Preliminaries
One of the most important activities of an appl
Chapter 7
The Two-Way Layout
Some Changes to pages 9 12:
7.4 One-sided Comparisons of Treatments with Control
Based on Friedman Rank Sums (Nemenyi, Wilcoxon Wilcox, Miller)
Used after rejecting the null hypothesis of no difference between treatment effect
Tests
Ho and Ha
Test Statistic
(Small
Sample)
Decision Rule
(Small
sample)
Test Statistic
(Large
Sample)
Decision Rule
(Large
Sample)
Tests
Ho and Ha
Test Statistic
(Small
Sample)
Decision Rule
(Small
sample)
Test Statistic
(Large
Sample)
7.1 FKBS Test
Ge
Tests
Assumptions
Null Hypothesis
5.4 Kolmogorov-Smirnov
Test
Two independent random
samples from
2 continuous population with
dfs FX(t) and GY(t)
Ho: FX(t) = GY(t), for all t
Ha: FX(t) GY(t) for at least
one t
6.1 Kruskal Wallis Test
k independent random
STA4502/5507 Announcements Fall 2011
Look at this page every day for news, links, etc.
Wednesday, October 26, 2011
The term project requirements are posted in the documents folder.
The projects will be presented on November 21, 23, 28, 30 and December 2
STA4502/5507 NONPARAMETTRIC STATISTICS
TERM PROJECT
(Due after Thanksgiving Break)
In this project you are expected to
1. Pose a question that needs to be answered using a nonparametric procedure.
2. Collect sample data to be analyzed to answer the questi
Chapter 9
Nonparametric Regression Analysis
Some type of regression is one of the most used statistical techniques. It involves a relationship
(usually linear) between a predictor (also called independent variable) x (assumed to be non random!) and a rand
Chapter 9
Nonparametric Regression Analysis
Some type of regression is one of the most used statistical techniques. It involves a relationship
(usually linear) between a predictor (also called independent variable) x (assumed to be nonrandom!) and a rando
Chapter 8
The Independence Problem
In some problems a random sample of n pairs of observations (X, Y) are observed from a
bivariate population.
Our main interest is in whether or not there is a statistical relationship between these two
variables. In part
Chapter 8
The Independence Problem
In some problems a random sample of n pairs of observations (X, Y) are observed from a
bivariate population.
Our main interest is in whether or not there is a statistical relationship between these two
variables. In part
Chapter 7
The Two-Way Layout
In chapter 6, we were interested in the effect of one factor at k levels (k treatments) on the response
variable, hence the name One Way Layout.
In this chapter we will look at the effects of two different factors, each of whi
Chapter 7
The Two-Way Layout
In chapter 6, we were interested in the effect of one factor at k levels (k treatments) on the response
variable, hence the name One Way Layout.
In this chapter we will look at the effects of two different factors, each of whi
Chapter 6
The One Way Layout
Introduction
In Chapter 4, we were interested in the difference of location parameters (medians) of two populations,
using independent random samples from these populations.
In this chapter this is extended to k 3 populations.
Chapter 6
The One Way Layout
Introduction
In Chapter 4, we were interested in the difference of location parameters (medians) of two populations,
using independent random samples from these populations.
In this chapter this is extended to k 3 populations.
5.4 KOLMOGOROV - SMIRNOV (KS) TEST
A DISTRIBUTION-FREE TEST FOR GENERAL DIFFERENCES
In Chapter 4, we made inferences on the difference in location parameters of two populations,
using two independent samples and the Wilcoxon Rank Sum Test.
In this Chapter
5.4 KOLMOGOROV - SMIRNOV (KS) TEST
A DISTRIBUTION-FREE TEST FOR GENERAL DIFFERENCES
In Chapter 4, we made inferences on the difference in location parameters of two populations,
using two independent samples and the Wilcoxon Rank Sum Test.
In this Chapter
Chapter 4
The Two Sample Location Problem
With Independent Samples
4.1 Wilcoxon Rank Sum Test
This test was first published by Wilcoxon in 1945. That is why some authors refer to this test as the Wilcoxon Rank
Sum Test (because it is based on the sum of r